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Loading data

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Joining Data

Joining Wide Data

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##   0 
## 782
## 
##    1    2    3    4    5    6    7    8    9   10   11 <NA> 
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URM variable

EOC average variable creation

Creating interactions

Joining pre post

Response Rate

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##     %+%, alpha
##    vars   n mean   sd median trimmed mad  min max range skew kurtosis   se
## X1    1 273 0.47 0.33   0.36    0.46 0.4 0.09   1  0.91 0.28    -1.45 0.02
##    vars   n mean  sd median trimmed  mad min max range skew kurtosis   se
## X1    1 273 5.22 3.6      4    5.03 4.45   1  11    10 0.28    -1.45 0.22

Female by condition

##    
##       0   1
##   0 278 148
##   1 235 121

Ethnicity by condition

##    
##     Asian (non-Hispanic) Black or African American  (non-Hispanic)
##   0                   37                                        12
##   1                   26                                        21
##    
##     Hispanic Ethnicity International Not Reported
##   0                 17            63            6
##   1                 16            53            2
##    
##     Two or more races (non-Hispanic) White (non-Hispanic)
##   0                               14                  277
##   1                                6                  232

Pre Career type by condition (1 = STEM; 2 = Education; 3 = Other field; 4 = Undecided)

##    
##       1   2   3   4
##   0 302  13  81  30
##   1 248  12  62  34

Post Career type by condition (1 = STEM; 2 = Education; 3 = Other field; 4 = Undecided)

##    
##       1   2   3   4
##   0 233   9  39  28
##   1 198   8  29  19

Proportions and means by group for Pre Survey eoc_participate

## `summarise()` ungrouping output (override with `.groups` argument)
participate_eoc prop_female mean_pre_interest mean_pre_confidence mean_val mean_stem_int mean_cost_te mean_cost_oe mean_cost_lv mean_cost_em
0 0.348 4.840 4.922 5.563 5.874 3.328 2.892 3.152 3.671
1 0.339 5.067 4.969 5.763 5.910 3.286 2.716 3.160 3.650

Proportions and means by group for Post Survey eoc_participate

## `summarise()` ungrouping output (override with `.groups` argument)
participate_eoc prop_female mean_Grade mean_post_interest mean_post_confidence mean_val mean_stem_int mean_cost_te mean_cost_oe mean_cost_lv mean_cost_em
0 0.348 2.813 4.592 5.059 5.179 5.632 3.484 3.158 3.268 3.875
1 0.339 2.868 4.768 5.230 5.382 5.755 3.306 3.100 3.129 3.617

Pre Survey Graphs

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## Warning: Removed 14 rows containing non-finite values (stat_summary).

Post Survey Graphs eoc_participate

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Proportions and means by group for Pre Survey eoc_participate_2

## `summarise()` ungrouping output (override with `.groups` argument)
participate_eoc_2 prop_female mean_pre_interest mean_pre_confidence mean_val mean_stem_int mean_cost_te mean_cost_oe mean_cost_lv mean_cost_em
0 0.350 4.861 4.921 5.566 5.845 3.309 2.875 3.148 3.665
1 0.333 5.097 4.985 5.820 5.977 3.308 2.693 3.170 3.655

Proportions and means by group for Post Survey eoc_participate_2

## `summarise()` ungrouping output (override with `.groups` argument)
participate_eoc_2 prop_female mean_Grade mean_post_interest mean_post_confidence mean_val mean_stem_int mean_cost_te mean_cost_oe mean_cost_lv mean_cost_em
0 0.350 2.792 4.622 5.055 5.177 5.637 3.495 3.197 3.281 3.888
1 0.333 2.922 4.752 5.268 5.423 5.770 3.254 3.026 3.081 3.548

Post Survey Graphs eoc_participate

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## Don't know how to automatically pick scale for object of type haven_labelled/vctrs_vctr/double. Defaulting to continuous.
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## Don't know how to automatically pick scale for object of type haven_labelled/vctrs_vctr/double. Defaulting to continuous.
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## Warning: Removed 227 rows containing non-finite values (stat_summary).
## Warning: Removed 227 rows containing non-finite values (stat_summary).

Proportions and means by group for Pre Survey eoc_participate_3

## `summarise()` ungrouping output (override with `.groups` argument)
participate_eoc_3 prop_female mean_pre_interest mean_pre_confidence mean_val mean_stem_int mean_cost_te mean_cost_oe mean_cost_lv mean_cost_em
0 0.348 4.840 4.922 5.563 5.874 3.328 2.892 3.152 3.671
1 0.333 5.097 4.985 5.820 5.977 3.308 2.693 3.170 3.655
2 0.357 4.968 4.916 5.581 5.695 3.216 2.789 3.128 3.632

Proportions and means by group for Post Survey eoc_participate_3

## `summarise()` ungrouping output (override with `.groups` argument)
participate_eoc_3 prop_female mean_Grade mean_post_interest mean_post_confidence mean_val mean_stem_int mean_cost_te mean_cost_oe mean_cost_lv mean_cost_em
0 0.348 2.813 4.592 5.059 5.179 5.632 3.484 3.158 3.268 3.875
1 0.333 2.922 4.752 5.268 5.423 5.770 3.254 3.026 3.081 3.548
2 0.357 2.676 4.855 5.026 5.167 5.675 3.580 3.487 3.381 3.979

Post Survey Graphs eoc_participate_3

## Warning: Removed 44 rows containing non-finite values (stat_summary).

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## Warning: Removed 226 rows containing non-finite values (stat_summary).

## Don't know how to automatically pick scale for object of type haven_labelled/vctrs_vctr/double. Defaulting to continuous.
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## Don't know how to automatically pick scale for object of type haven_labelled/vctrs_vctr/double. Defaulting to continuous.
## Warning: Removed 234 rows containing non-finite values (stat_summary).
## Warning: Removed 234 rows containing non-finite values (stat_summary).

## Warning: Removed 227 rows containing non-finite values (stat_summary).
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## 
## Call:
## lm(formula = post_int_overall ~ pre_int_overall + signals_responded_to, 
##     data = MTH_132_all_wide)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.4943 -0.5174  0.1213  0.6979  3.2060 
## 
## Coefficients:
##                       Estimate Std. Error t value Pr(>|t|)    
## (Intercept)           0.647520   0.175980   3.680 0.000257 ***
## pre_int_overall       0.807800   0.033875  23.846  < 2e-16 ***
## signals_responded_to -0.007573   0.012500  -0.606 0.544888    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.061 on 546 degrees of freedom
##   (233 observations deleted due to missingness)
## Multiple R-squared:  0.5104, Adjusted R-squared:  0.5086 
## F-statistic: 284.6 on 2 and 546 DF,  p-value: < 2.2e-16
## 
## Call:
## lm(formula = post_val_overall ~ pre_val_overall + signals_responded_to, 
##     data = MTH_132_all_wide)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.5430 -0.5172  0.1511  0.6507  2.6482 
## 
## Coefficients:
##                      Estimate Std. Error t value Pr(>|t|)    
## (Intercept)           2.35664    0.27665   8.518   <2e-16 ***
## pre_val_overall       0.49878    0.04778  10.440   <2e-16 ***
## signals_responded_to  0.02822    0.01304   2.165   0.0309 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.106 on 546 degrees of freedom
##   (233 observations deleted due to missingness)
## Multiple R-squared:  0.1768, Adjusted R-squared:  0.1738 
## F-statistic: 58.62 on 2 and 546 DF,  p-value: < 2.2e-16
## 
## Call:
## lm(formula = post_stem_int ~ pre_stem_int + signals_responded_to, 
##     data = MTH_132_all_wide)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -5.4323 -0.4323  0.3379  0.5677  3.0895 
## 
## Coefficients:
##                      Estimate Std. Error t value Pr(>|t|)    
## (Intercept)           0.85899    0.25475   3.372 0.000801 ***
## pre_stem_int          0.79619    0.04160  19.137  < 2e-16 ***
## signals_responded_to  0.02553    0.01372   1.861 0.063294 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.153 on 532 degrees of freedom
##   (247 observations deleted due to missingness)
## Multiple R-squared:  0.4118, Adjusted R-squared:  0.4096 
## F-statistic: 186.2 on 2 and 532 DF,  p-value: < 2.2e-16
## 
## Call:
## lm(formula = post_cost_te_overall ~ pre_cost_te_overall + signals_responded_to, 
##     data = MTH_132_all_wide)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.3232 -0.7873 -0.0765  0.7561  3.9827 
## 
## Coefficients:
##                      Estimate Std. Error t value Pr(>|t|)    
## (Intercept)           1.60225    0.15454  10.368   <2e-16 ***
## pre_cost_te_overall   0.56857    0.04290  13.255   <2e-16 ***
## signals_responded_to -0.03633    0.01423  -2.553    0.011 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.21 on 545 degrees of freedom
##   (234 observations deleted due to missingness)
## Multiple R-squared:  0.2512, Adjusted R-squared:  0.2485 
## F-statistic: 91.43 on 2 and 545 DF,  p-value: < 2.2e-16
## 
## Call:
## lm(formula = post_cost_oe_overall ~ pre_cost_oe_overall + signals_responded_to, 
##     data = MTH_132_all_wide)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.2663 -0.7731 -0.0570  0.8265  3.8152 
## 
## Coefficients:
##                      Estimate Std. Error t value Pr(>|t|)    
## (Intercept)           1.70511    0.14348  11.884   <2e-16 ***
## pre_cost_oe_overall   0.53397    0.04652  11.479   <2e-16 ***
## signals_responded_to -0.02717    0.01371  -1.981    0.048 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.163 on 546 degrees of freedom
##   (233 observations deleted due to missingness)
## Multiple R-squared:  0.2032, Adjusted R-squared:  0.2002 
## F-statistic:  69.6 on 2 and 546 DF,  p-value: < 2.2e-16
## 
## Call:
## lm(formula = post_cost_lv_overall ~ pre_cost_lv_overall + signals_responded_to, 
##     data = MTH_132_all_wide)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.4986 -0.8242 -0.0813  0.7909  4.4349 
## 
## Coefficients:
##                      Estimate Std. Error t value Pr(>|t|)    
## (Intercept)           1.66956    0.15226  10.965   <2e-16 ***
## pre_cost_lv_overall   0.51317    0.04454  11.522   <2e-16 ***
## signals_responded_to -0.03239    0.01401  -2.311   0.0212 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.191 on 546 degrees of freedom
##   (233 observations deleted due to missingness)
## Multiple R-squared:  0.2036, Adjusted R-squared:  0.2007 
## F-statistic: 69.78 on 2 and 546 DF,  p-value: < 2.2e-16
## 
## Call:
## lm(formula = post_cost_em_overall ~ pre_cost_em_overall + signals_responded_to, 
##     data = MTH_132_all_wide)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.2369 -0.8745 -0.0672  0.8808  4.0394 
## 
## Coefficients:
##                      Estimate Std. Error t value Pr(>|t|)    
## (Intercept)           1.61547    0.17188   9.399  < 2e-16 ***
## pre_cost_em_overall   0.62082    0.04388  14.149  < 2e-16 ***
## signals_responded_to -0.05082    0.01526  -3.329 0.000929 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.298 on 545 degrees of freedom
##   (234 observations deleted due to missingness)
## Multiple R-squared:  0.2792, Adjusted R-squared:  0.2765 
## F-statistic: 105.5 on 2 and 545 DF,  p-value: < 2.2e-16
## 
## Call:
## lm(formula = post_int_overall ~ pre_int_overall + signals_responded_to_eoc_only, 
##     data = MTH_132_all_wide)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.4112 -0.5352  0.1269  0.6329  2.6960 
## 
## Coefficients:
##                                Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                    0.451916   0.290135   1.558    0.121    
## pre_int_overall                0.845032   0.052019  16.245   <2e-16 ***
## signals_responded_to_eoc_only -0.006988   0.016276  -0.429    0.668    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.9984 on 242 degrees of freedom
##   (537 observations deleted due to missingness)
## Multiple R-squared:  0.5225, Adjusted R-squared:  0.5185 
## F-statistic: 132.4 on 2 and 242 DF,  p-value: < 2.2e-16
## 
## Call:
## lm(formula = post_val_overall ~ pre_val_overall + signals_responded_to_eoc_only, 
##     data = MTH_132_all_wide)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.3744 -0.5503  0.1164  0.5939  2.1216 
## 
## Coefficients:
##                               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                    3.03712    0.37160   8.173 1.68e-14 ***
## pre_val_overall                0.37698    0.06179   6.101 4.16e-09 ***
## signals_responded_to_eoc_only  0.03175    0.01579   2.010   0.0455 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.9691 on 242 degrees of freedom
##   (537 observations deleted due to missingness)
## Multiple R-squared:  0.1469, Adjusted R-squared:  0.1398 
## F-statistic: 20.83 on 2 and 242 DF,  p-value: 4.485e-09
## 
## Call:
## lm(formula = post_stem_int ~ pre_stem_int + signals_responded_to_eoc_only, 
##     data = MTH_132_all_wide)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.1457 -0.3896  0.2660  0.6364  2.9508 
## 
## Coefficients:
##                               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                    0.87467    0.39711   2.203   0.0286 *  
## pre_stem_int                   0.77413    0.06294  12.298   <2e-16 ***
## signals_responded_to_eoc_only  0.04004    0.01854   2.160   0.0318 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.131 on 237 degrees of freedom
##   (542 observations deleted due to missingness)
## Multiple R-squared:  0.3977, Adjusted R-squared:  0.3926 
## F-statistic: 78.25 on 2 and 237 DF,  p-value: < 2.2e-16
## 
## Call:
## lm(formula = post_cost_te_overall ~ pre_cost_te_overall + signals_responded_to_eoc_only, 
##     data = MTH_132_all_wide)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.2073 -0.7652 -0.0457  0.7543  3.9721 
## 
## Coefficients:
##                               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                    1.74145    0.25553   6.815 7.44e-11 ***
## pre_cost_te_overall            0.53257    0.06561   8.117 2.42e-14 ***
## signals_responded_to_eoc_only -0.03891    0.02057  -1.892   0.0597 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.262 on 242 degrees of freedom
##   (537 observations deleted due to missingness)
## Multiple R-squared:  0.2247, Adjusted R-squared:  0.2183 
## F-statistic: 35.07 on 2 and 242 DF,  p-value: 4.213e-14
## 
## Call:
## lm(formula = post_cost_oe_overall ~ pre_cost_oe_overall + signals_responded_to_eoc_only, 
##     data = MTH_132_all_wide)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.5007 -0.8568 -0.0843  0.7946  3.6807 
## 
## Coefficients:
##                               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                    1.86486    0.23324   7.995 5.31e-14 ***
## pre_cost_oe_overall            0.57566    0.07344   7.839 1.44e-13 ***
## signals_responded_to_eoc_only -0.06061    0.01957  -3.097  0.00219 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.201 on 242 degrees of freedom
##   (537 observations deleted due to missingness)
## Multiple R-squared:  0.2279, Adjusted R-squared:  0.2215 
## F-statistic: 35.71 on 2 and 242 DF,  p-value: 2.567e-14
## 
## Call:
## lm(formula = post_cost_lv_overall ~ pre_cost_lv_overall + signals_responded_to_eoc_only, 
##     data = MTH_132_all_wide)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -2.7563 -0.8771 -0.1067  0.7997  4.4493 
## 
## Coefficients:
##                               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                    1.64324    0.25848   6.357 1.01e-09 ***
## pre_cost_lv_overall            0.53101    0.06958   7.631 5.34e-13 ***
## signals_responded_to_eoc_only -0.03592    0.02043  -1.758     0.08 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.252 on 242 degrees of freedom
##   (537 observations deleted due to missingness)
## Multiple R-squared:  0.2065, Adjusted R-squared:  0.1999 
## F-statistic: 31.48 on 2 and 242 DF,  p-value: 7.024e-13
## 
## Call:
## lm(formula = post_cost_em_overall ~ pre_cost_em_overall + signals_responded_to_eoc_only, 
##     data = MTH_132_all_wide)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.4234 -0.9524 -0.0450  0.8364  3.5486 
## 
## Coefficients:
##                               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                    1.64969    0.26742   6.169 2.87e-09 ***
## pre_cost_em_overall            0.61859    0.06524   9.482  < 2e-16 ***
## signals_responded_to_eoc_only -0.05405    0.02093  -2.583   0.0104 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.284 on 242 degrees of freedom
##   (537 observations deleted due to missingness)
## Multiple R-squared:  0.2822, Adjusted R-squared:  0.2763 
## F-statistic: 47.58 on 2 and 242 DF,  p-value: < 2.2e-16
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 425 rows containing non-finite values (stat_bin).

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 509 rows containing non-finite values (stat_bin).

post_int_overall post_confident_math post_val_overall post_stem_int post_exp_overall post_cost_te_overall post_cost_oe_overall post_cost_lv_overall post_cost_em_overall
post_int_overall
post_confident_math 0.54***
post_val_overall 0.66*** 0.38***
post_stem_int 0.21*** 0.22*** 0.27***
post_exp_overall 0.55*** 0.55*** 0.63*** 0.29***
post_cost_te_overall -0.32*** -0.45*** -0.30*** -0.20*** -0.45***
post_cost_oe_overall -0.21*** -0.29*** -0.29*** -0.21*** -0.42*** 0.73***
post_cost_lv_overall -0.27*** -0.38*** -0.30*** -0.17*** -0.43*** 0.86*** 0.76***
post_cost_em_overall -0.40*** -0.57*** -0.32*** -0.16*** -0.48*** 0.83*** 0.62*** 0.74***
pre_int_overall pre_confident pre_val_overall pre_exp_overall pre_cost_te_overall pre_cost_oe_overall pre_cost_lv_overall pre_cost_em_overall eoc_int_avg eoc_comp_avg eoc_val_avg eoc_cost_te_avg eoc_cost_oe_avg eoc_cost_lv_avg eoc_cost_em_avg
pre_int_overall
pre_confident 0.45***
pre_val_overall 0.65*** 0.26***
pre_exp_overall 0.53*** 0.48*** 0.60***
pre_cost_te_overall -0.26*** -0.39*** -0.23*** -0.40***
pre_cost_oe_overall -0.23*** -0.32*** -0.28*** -0.42*** 0.71***
pre_cost_lv_overall -0.22*** -0.34*** -0.21*** -0.36*** 0.78*** 0.71***
pre_cost_em_overall -0.30*** -0.50*** -0.19*** -0.41*** 0.79*** 0.60*** 0.76***
eoc_int_avg 0.45*** 0.24*** 0.28*** 0.17** -0.10 -0.11 -0.09 -0.23***
eoc_comp_avg 0.31*** 0.12 0.22*** 0.18** -0.09 -0.14* -0.10 -0.10 0.69***
eoc_val_avg 0.23*** 0.03 0.30*** 0.14* -0.08 -0.12 -0.11 -0.13* 0.64*** 0.59***
eoc_cost_te_avg -0.33*** -0.31*** -0.31*** -0.37*** 0.56*** 0.49*** 0.45*** 0.51*** -0.23*** -0.19** -0.09
eoc_cost_oe_avg -0.27*** -0.27*** -0.31*** -0.36*** 0.46*** 0.53*** 0.48*** 0.49*** -0.21*** -0.15* -0.15* 0.76***
eoc_cost_lv_avg -0.31*** -0.32*** -0.35*** -0.39*** 0.48*** 0.47*** 0.47*** 0.48*** -0.18** -0.19** -0.07 0.80*** 0.80***
eoc_cost_em_avg -0.41*** -0.35*** -0.28*** -0.36*** 0.43*** 0.35*** 0.37*** 0.54*** -0.35*** -0.24*** -0.14* 0.74*** 0.64*** 0.66***

Sep 9 Analysis

Path Analysis with eoc_2 (1 = invited and responded; 0 = not invited OR did not participate)

## lavaan 0.6-7 ended normally after 24 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_int_overall ~                                                      
##     female             -0.210    0.092   -2.277    0.023   -0.210   -0.066
##     urm                -0.013    0.170   -0.078    0.938   -0.013   -0.002
##     Best_MPS            0.032    0.012    2.722    0.006    0.032    0.105
##     pre_int_overll      0.778    0.035   22.296    0.000    0.778    0.694
##     participat_c_2     -0.068    0.092   -0.739    0.460   -0.068   -0.021
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    0.245    0.258    0.951    0.342    0.245    0.161
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    1.085    0.066   16.449    0.000    1.085    0.469
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 29 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                         9
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                         Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_confident_math ~                                                      
##     female                -0.449    0.122   -3.668    0.000   -0.449   -0.130
##     urm                    0.048    0.222    0.219    0.827    0.048    0.008
##     Best_MPS               0.090    0.014    6.314    0.000    0.090    0.271
##     pre_confident          0.764    0.067   11.319    0.000    0.764    0.423
##     participat_c_2         0.197    0.121    1.628    0.104    0.197    0.057
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth   -0.381    0.427   -0.891    0.373   -0.381   -0.231
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth    1.855    0.115   16.109    0.000    1.855    0.684
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 27 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_val_overall ~                                                      
##     female             -0.088    0.097   -0.910    0.363   -0.088   -0.034
##     urm                -0.040    0.179   -0.223    0.823   -0.040   -0.009
##     Best_MPS            0.035    0.012    2.971    0.003    0.035    0.143
##     pre_val_overll      0.478    0.048    9.984    0.000    0.478    0.405
##     participat_c_2      0.148    0.097    1.529    0.126    0.148    0.058
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.821    0.340    5.350    0.000    1.821    1.489
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.188    0.072   16.484    0.000    1.188    0.794
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 26 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_exp_overall ~                                                      
##     female             -0.175    0.090   -1.952    0.051   -0.175   -0.072
##     urm                 0.316    0.166    1.897    0.058    0.316    0.076
##     Best_MPS            0.038    0.011    3.324    0.001    0.038    0.162
##     pre_exp_overll      0.509    0.046   11.139    0.000    0.509    0.436
##     participat_c_2      0.037    0.090    0.407    0.684    0.037    0.015
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.716    0.335    5.131    0.000    1.716    1.483
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.021    0.062   16.334    0.000    1.021    0.762
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 26 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        13
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_stem_int ~                                                       
##     female           -0.282    0.102   -2.763    0.006   -0.282   -0.088
##     urm              -0.104    0.196   -0.531    0.596   -0.104   -0.019
##     Best_MPS          0.010    0.012    0.858    0.391    0.010    0.034
##     pre_stem_int      0.801    0.041   19.441    0.000    0.801    0.654
##     participat_c_2    0.056    0.102    0.549    0.583    0.056    0.017
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_stem_int     0.779    0.349    2.228    0.026    0.779    0.511
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_stem_int     1.308    0.080   16.399    0.000    1.308    0.564
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_te_overall ~                                                      
##     female                  0.054    0.105    0.510    0.610    0.054    0.018
##     urm                    -0.162    0.195   -0.830    0.407   -0.162   -0.032
##     Best_MPS               -0.050    0.013   -3.760    0.000   -0.050   -0.177
##     pre_cst_t_vrll          0.557    0.042   13.100    0.000    0.557    0.486
##     participat_c_2         -0.264    0.105   -2.520    0.012   -0.264   -0.090
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    2.653    0.324    8.183    0.000    2.653    1.888
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.406    0.087   16.234    0.000    1.406    0.712
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_oe_overall ~                                                      
##     female                  0.044    0.102    0.436    0.663    0.044    0.016
##     urm                    -0.216    0.190   -1.140    0.254   -0.216   -0.046
##     Best_MPS               -0.044    0.012   -3.533    0.000   -0.044   -0.166
##     pre_cost__vrll          0.535    0.046   11.566    0.000    0.535    0.452
##     participat_c_2         -0.073    0.102   -0.720    0.472   -0.073   -0.027
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    2.550    0.297    8.589    0.000    2.550    1.938
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.319    0.081   16.341    0.000    1.319    0.762
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_lv_overall ~                                                      
##     female                 -0.027    0.104   -0.258    0.797   -0.027   -0.009
##     urm                    -0.360    0.192   -1.874    0.061   -0.360   -0.075
##     Best_MPS               -0.046    0.013   -3.573    0.000   -0.046   -0.171
##     pr_cst_lv_vrll          0.504    0.044   11.466    0.000    0.504    0.441
##     participat_c_2         -0.193    0.103   -1.870    0.062   -0.193   -0.069
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    2.656    0.312    8.509    0.000    2.656    1.986
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.363    0.083   16.336    0.000    1.363    0.762
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 31 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_em_overall ~                                                      
##     female                  0.105    0.114    0.923    0.356    0.105    0.033
##     urm                    -0.266    0.209   -1.270    0.204   -0.266   -0.048
##     Best_MPS               -0.055    0.014   -3.854    0.000   -0.055   -0.180
##     pre_cst_m_vrll          0.576    0.045   12.924    0.000    0.576    0.486
##     participat_c_2         -0.336    0.112   -2.991    0.003   -0.336   -0.104
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    2.886    0.368    7.837    0.000    2.886    1.884
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.609    0.099   16.231    0.000    1.609    0.686
##   cfi   tli rmsea  srmr 
##     1     1     0     0

Path Analysis with eoc_3 (1 = invited and responded; 0 = not invited OR did not participate) Filtering out 2’s

## lavaan 0.6-7 ended normally after 24 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_int_overall ~                                                      
##     female             -0.204    0.097   -2.106    0.035   -0.204   -0.063
##     urm                -0.067    0.182   -0.368    0.713   -0.067   -0.012
##     Best_MPS            0.031    0.013    2.479    0.013    0.031    0.100
##     pre_int_overll      0.782    0.036   21.666    0.000    0.782    0.695
##     participat_c_3     -0.048    0.096   -0.505    0.614   -0.048   -0.015
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    0.228    0.278    0.819    0.413    0.228    0.149
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    1.101    0.069   15.850    0.000    1.101    0.469
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 29 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           698
##   Number of missing patterns                         8
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                         Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_confident_math ~                                                      
##     female                -0.483    0.124   -3.882    0.000   -0.483   -0.140
##     urm                   -0.111    0.229   -0.487    0.626   -0.111   -0.019
##     Best_MPS               0.092    0.015    6.237    0.000    0.092    0.277
##     pre_confident          0.786    0.069   11.465    0.000    0.786    0.437
##     participat_c_3         0.233    0.121    1.915    0.055    0.233    0.069
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth   -0.550    0.441   -1.247    0.213   -0.550   -0.335
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth    1.766    0.114   15.471    0.000    1.766    0.655
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 27 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_val_overall ~                                                      
##     female             -0.095    0.101   -0.937    0.349   -0.095   -0.036
##     urm                -0.063    0.191   -0.332    0.740   -0.063   -0.014
##     Best_MPS            0.039    0.013    3.113    0.002    0.039    0.155
##     pre_val_overll      0.497    0.051    9.803    0.000    0.497    0.414
##     participat_c_3      0.162    0.100    1.613    0.107    0.162    0.064
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.618    0.371    4.357    0.000    1.618    1.303
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.206    0.076   15.839    0.000    1.206    0.782
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 26 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_exp_overall ~                                                      
##     female             -0.177    0.094   -1.884    0.060   -0.177   -0.072
##     urm                 0.244    0.177    1.377    0.168    0.244    0.057
##     Best_MPS            0.041    0.012    3.385    0.001    0.041    0.173
##     pre_exp_overll      0.517    0.048   10.738    0.000    0.517    0.439
##     participat_c_3      0.062    0.093    0.668    0.504    0.062    0.026
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.582    0.359    4.410    0.000    1.582    1.353
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.033    0.066   15.677    0.000    1.033    0.755
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 27 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        13
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_stem_int ~                                                       
##     female           -0.303    0.107   -2.839    0.005   -0.303   -0.094
##     urm              -0.123    0.209   -0.588    0.557   -0.123   -0.022
##     Best_MPS          0.002    0.013    0.121    0.904    0.002    0.005
##     pre_stem_int      0.799    0.043   18.367    0.000    0.799    0.648
##     participat_c_3    0.052    0.105    0.493    0.622    0.052    0.017
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_stem_int     0.978    0.373    2.624    0.009    0.978    0.642
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_stem_int     1.319    0.084   15.791    0.000    1.319    0.569
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_te_overall ~                                                      
##     female                  0.102    0.109    0.939    0.348    0.102    0.034
##     urm                    -0.111    0.205   -0.542    0.588   -0.111   -0.022
##     Best_MPS               -0.054    0.014   -3.869    0.000   -0.054   -0.190
##     pre_cst_t_vrll          0.568    0.044   13.003    0.000    0.568    0.494
##     participat_c_3         -0.264    0.107   -2.475    0.013   -0.264   -0.092
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    2.678    0.342    7.830    0.000    2.678    1.904
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.380    0.089   15.556    0.000    1.380    0.697
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_oe_overall ~                                                      
##     female                  0.087    0.105    0.827    0.408    0.087    0.032
##     urm                    -0.314    0.199   -1.579    0.114   -0.314   -0.066
##     Best_MPS               -0.040    0.013   -3.075    0.002   -0.040   -0.152
##     pre_cost__vrll          0.533    0.047   11.410    0.000    0.533    0.460
##     participat_c_3         -0.036    0.103   -0.345    0.730   -0.036   -0.013
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    2.441    0.313    7.806    0.000    2.441    1.868
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.295    0.082   15.759    0.000    1.295    0.758
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_lv_overall ~                                                      
##     female                  0.030    0.108    0.281    0.779    0.030    0.011
##     urm                    -0.389    0.204   -1.911    0.056   -0.389   -0.080
##     Best_MPS               -0.045    0.014   -3.312    0.001   -0.045   -0.168
##     pr_cst_lv_vrll          0.496    0.045   10.937    0.000    0.496    0.440
##     participat_c_3         -0.196    0.106   -1.847    0.065   -0.196   -0.072
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    2.656    0.331    8.035    0.000    2.656    1.991
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.366    0.087   15.733    0.000    1.366    0.768
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 31 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_em_overall ~                                                      
##     female                  0.178    0.119    1.495    0.135    0.178    0.055
##     urm                    -0.215    0.222   -0.966    0.334   -0.215   -0.038
##     Best_MPS               -0.059    0.015   -3.863    0.000   -0.059   -0.189
##     pre_cst_m_vrll          0.567    0.046   12.242    0.000    0.567    0.478
##     participat_c_3         -0.335    0.116   -2.891    0.004   -0.335   -0.106
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    2.960    0.393    7.531    0.000    2.960    1.924
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.623    0.104   15.591    0.000    1.623    0.686
##   cfi   tli rmsea  srmr 
##     1     1     0     0

With signals responded to EOC only

## lavaan 0.6-7 ended normally after 23 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_int_overall ~                                                      
##     female             -0.198    0.094   -2.110    0.035   -0.198   -0.062
##     urm                -0.026    0.172   -0.149    0.882   -0.026   -0.005
##     Best_MPS            0.032    0.012    2.766    0.006    0.032    0.106
##     pre_int_overll      0.776    0.035   22.341    0.000    0.776    0.692
##     sgnls_rspnd___     -0.009    0.018   -0.508    0.612   -0.009   -0.023
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    0.259    0.266    0.973    0.331    0.259    0.170
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    1.084    0.066   16.421    0.000    1.084    0.469
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 27 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        14
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                         Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_confident_math ~                                                      
##     female                -0.472    0.124   -3.789    0.000   -0.472   -0.136
##     urm                    0.070    0.223    0.315    0.753    0.070    0.012
##     Best_MPS               0.089    0.014    6.233    0.000    0.089    0.268
##     pre_confident          0.764    0.068   11.293    0.000    0.764    0.424
##     sgnls_rspnd___         0.015    0.023    0.640    0.522    0.015    0.035
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth   -0.346    0.433   -0.799    0.424   -0.346   -0.210
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth    1.862    0.116   16.089    0.000    1.862    0.687
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 24 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_val_overall ~                                                      
##     female             -0.135    0.097   -1.391    0.164   -0.135   -0.053
##     urm                 0.018    0.179    0.101    0.920    0.018    0.004
##     Best_MPS            0.035    0.012    2.998    0.003    0.035    0.143
##     pre_val_overll      0.474    0.048    9.951    0.000    0.474    0.401
##     sgnls_rspnd___      0.046    0.019    2.449    0.014    0.046    0.146
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.703    0.342    4.975    0.000    1.703    1.393
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.161    0.073   15.815    0.000    1.161    0.776
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 24 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_exp_overall ~                                                      
##     female             -0.199    0.091   -2.182    0.029   -0.199   -0.082
##     urm                 0.344    0.167    2.056    0.040    0.344    0.083
##     Best_MPS            0.037    0.011    3.331    0.001    0.037    0.162
##     pre_exp_overll      0.504    0.046   11.079    0.000    0.504    0.432
##     sgnls_rspnd___      0.024    0.018    1.342    0.180    0.024    0.079
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.661    0.336    4.943    0.000    1.661    1.435
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.013    0.063   16.142    0.000    1.013    0.756
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 25 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        21
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_stem_int ~                                                       
##     female           -0.321    0.103   -3.120    0.002   -0.321   -0.100
##     urm              -0.052    0.196   -0.267    0.790   -0.052   -0.010
##     Best_MPS          0.011    0.012    0.884    0.376    0.011    0.035
##     pre_stem_int      0.795    0.041   19.336    0.000    0.795    0.649
##     sgnls_rspnd___    0.041    0.018    2.245    0.025    0.041    0.104
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_stem_int     0.656    0.352    1.865    0.062    0.656    0.430
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_stem_int     1.283    0.080   16.031    0.000    1.283    0.552
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 27 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_te_overall ~                                                      
##     female                  0.102    0.107    0.957    0.339    0.102    0.035
##     urm                    -0.211    0.196   -1.074    0.283   -0.211   -0.042
##     Best_MPS               -0.048    0.013   -3.649    0.000   -0.048   -0.172
##     pre_cst_t_vrll          0.554    0.043   13.001    0.000    0.554    0.484
##     sgnls_rspnd___         -0.039    0.018   -2.118    0.034   -0.039   -0.106
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    2.696    0.330    8.161    0.000    2.696    1.921
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.401    0.087   16.009    0.000    1.401    0.711
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 27 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_oe_overall ~                                                      
##     female                  0.095    0.103    0.927    0.354    0.095    0.034
##     urm                    -0.268    0.189   -1.420    0.156   -0.268   -0.057
##     Best_MPS               -0.043    0.012   -3.530    0.000   -0.043   -0.163
##     pre_cost__vrll          0.532    0.046   11.617    0.000    0.532    0.450
##     sgnls_rspnd___         -0.051    0.018   -2.934    0.003   -0.051   -0.150
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    2.734    0.298    9.179    0.000    2.734    2.079
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.281    0.081   15.900    0.000    1.281    0.741
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 28 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_lv_overall ~                                                      
##     female                  0.017    0.105    0.160    0.873    0.017    0.006
##     urm                    -0.404    0.193   -2.096    0.036   -0.404   -0.084
##     Best_MPS               -0.045    0.013   -3.493    0.000   -0.045   -0.167
##     pr_cst_lv_vrll          0.500    0.044   11.346    0.000    0.500    0.437
##     sgnls_rspnd___         -0.036    0.018   -2.035    0.042   -0.036   -0.105
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    2.728    0.319    8.558    0.000    2.728    2.039
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.353    0.084   16.136    0.000    1.353    0.757
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 28 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          7
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_em_overall ~                                                      
##     female                  0.172    0.115    1.488    0.137    0.172    0.053
##     urm                    -0.339    0.210   -1.612    0.107   -0.339   -0.062
##     Best_MPS               -0.054    0.014   -3.743    0.000   -0.054   -0.175
##     pre_cst_m_vrll          0.576    0.045   12.919    0.000    0.576    0.486
##     sgnls_rspnd___         -0.060    0.020   -2.960    0.003   -0.060   -0.149
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    2.975    0.375    7.923    0.000    2.975    1.942
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.584    0.101   15.670    0.000    1.584    0.675
##   cfi   tli rmsea  srmr 
##     1     1     0     0

Sep 15 Analysis

Path Analysis with eoc_2 (1 = invited and responded; 0 = not invited OR did not participate) + average eoc

## lavaan 0.6-7 ended normally after 27 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_int_overall ~                                                      
##     female             -0.147    0.094   -1.562    0.118   -0.147   -0.046
##     urm                -0.068    0.170   -0.403    0.687   -0.068   -0.013
##     Best_MPS            0.030    0.012    2.576    0.010    0.030    0.097
##     pre_int_overll      0.685    0.045   15.217    0.000    0.685    0.610
##     eoc_int_avg         0.183    0.057    3.186    0.001    0.183    0.184
##     participat_c_2     -0.060    0.091   -0.662    0.508   -0.060   -0.019
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    0.013    0.264    0.050    0.960    0.013    0.009
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    1.026    0.069   14.927    0.000    1.026    0.442
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 33 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        13
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                         Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_confident_math ~                                                      
##     female                -0.447    0.124   -3.612    0.000   -0.447   -0.129
##     urm                    0.042    0.226    0.185    0.853    0.042    0.007
##     Best_MPS               0.089    0.015    6.053    0.000    0.089    0.269
##     pre_confident          0.763    0.069   11.112    0.000    0.763    0.423
##     eoc_comp_avg           0.018    0.098    0.184    0.854    0.018    0.014
##     participat_c_2         0.198    0.121    1.635    0.102    0.198    0.057
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth   -0.451    0.532   -0.847    0.397   -0.451   -0.274
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth    1.854    0.115   16.105    0.000    1.854    0.683
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 28 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_val_overall ~                                                      
##     female              0.015    0.097    0.155    0.876    0.015    0.006
##     urm                -0.051    0.174   -0.293    0.770   -0.051   -0.012
##     Best_MPS            0.033    0.011    2.890    0.004    0.033    0.135
##     pre_val_overll      0.342    0.055    6.258    0.000    0.342    0.289
##     eoc_val_avg         0.293    0.058    5.046    0.000    0.293    0.336
##     participat_c_2      0.170    0.093    1.825    0.068    0.170    0.066
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.176    0.354    3.321    0.001    1.176    0.961
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.047    0.079   13.292    0.000    1.047    0.699
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 26 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_exp_overall ~                                                      
##     female             -0.170    0.091   -1.869    0.062   -0.170   -0.070
##     urm                 0.304    0.169    1.797    0.072    0.304    0.073
##     Best_MPS            0.037    0.012    3.116    0.002    0.037    0.158
##     pre_exp_overll      0.504    0.048   10.508    0.000    0.504    0.431
##     eoc_comp_avg        0.031    0.071    0.438    0.661    0.031    0.034
##     participat_c_2      0.037    0.090    0.415    0.678    0.037    0.015
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.619    0.383    4.230    0.000    1.619    1.399
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.019    0.063   16.293    0.000    1.019    0.760
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 31 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_te_overall ~                                                      
##     female                  0.029    0.101    0.288    0.773    0.029    0.010
##     urm                    -0.180    0.186   -0.968    0.333   -0.180   -0.036
##     Best_MPS               -0.027    0.013   -2.122    0.034   -0.027   -0.097
##     pre_cst_t_vrll          0.247    0.055    4.468    0.000    0.247    0.216
##     eoc_cost_te_vg          0.480    0.058    8.228    0.000    0.480    0.485
##     participat_c_2         -0.227    0.098   -2.322    0.020   -0.227   -0.077
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.780    0.329    5.414    0.000    1.780    1.269
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.111    0.085   13.016    0.000    1.111    0.565
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 32 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_oe_overall ~                                                      
##     female                 -0.036    0.098   -0.370    0.712   -0.036   -0.013
##     urm                    -0.443    0.183   -2.419    0.016   -0.443   -0.094
##     Best_MPS               -0.035    0.012   -2.967    0.003   -0.035   -0.134
##     pre_cost__vrll          0.227    0.058    3.929    0.000    0.227    0.191
##     eoc_cost_oe_vg          0.506    0.062    8.216    0.000    0.506    0.490
##     participat_c_2         -0.093    0.095   -0.982    0.326   -0.093   -0.034
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.945    0.296    6.578    0.000    1.945    1.473
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.038    0.081   12.764    0.000    1.038    0.595
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 31 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_lv_overall ~                                                      
##     female                 -0.066    0.099   -0.661    0.508   -0.066   -0.023
##     urm                    -0.319    0.184   -1.736    0.083   -0.319   -0.066
##     Best_MPS               -0.029    0.012   -2.370    0.018   -0.029   -0.108
##     pr_cst_lv_vrll          0.257    0.052    4.952    0.000    0.257    0.223
##     eoc_cost_lv_vg          0.454    0.055    8.178    0.000    0.454    0.462
##     participat_c_2         -0.185    0.096   -1.912    0.056   -0.185   -0.065
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.870    0.314    5.964    0.000    1.870    1.391
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.087    0.082   13.273    0.000    1.087    0.602
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 32 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_em_overall ~                                                      
##     female                  0.027    0.107    0.248    0.804    0.027    0.008
##     urm                    -0.336    0.194   -1.732    0.083   -0.336   -0.061
##     Best_MPS               -0.019    0.014   -1.371    0.170   -0.019   -0.063
##     pre_cst_m_vrll          0.238    0.052    4.599    0.000    0.238    0.200
##     eoc_cost_em_vg          0.552    0.051   10.730    0.000    0.552    0.566
##     participat_c_2         -0.305    0.102   -3.007    0.003   -0.305   -0.095
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.707    0.370    4.617    0.000    1.707    1.112
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.132    0.093   12.189    0.000    1.132    0.480
##   cfi   tli rmsea  srmr 
##     1     1     0     0

Path Analysis with eoc_3 (1 = invited and responded; 0 = not invited OR did not participate) Filtering out 2’s + average eoc

## lavaan 0.6-7 ended normally after 26 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_int_overall ~                                                      
##     female             -0.139    0.098   -1.422    0.155   -0.139   -0.043
##     urm                -0.121    0.181   -0.669    0.503   -0.121   -0.022
##     Best_MPS            0.029    0.012    2.360    0.018    0.029    0.093
##     pre_int_overll      0.686    0.046   14.855    0.000    0.686    0.609
##     eoc_int_avg         0.186    0.058    3.197    0.001    0.186    0.186
##     participat_c_3     -0.038    0.094   -0.407    0.684   -0.038   -0.012
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll   -0.013    0.283   -0.046    0.963   -0.013   -0.009
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    1.040    0.072   14.474    0.000    1.040    0.442
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 32 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                         Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_confident_math ~                                                      
##     female                -0.480    0.125   -3.830    0.000   -0.480   -0.139
##     urm                   -0.117    0.233   -0.505    0.613   -0.117   -0.020
##     Best_MPS               0.092    0.015    6.024    0.000    0.092    0.275
##     pre_confident          0.786    0.070   11.281    0.000    0.786    0.437
##     eoc_comp_avg           0.018    0.093    0.191    0.848    0.018    0.014
##     participat_c_3         0.234    0.122    1.920    0.055    0.234    0.069
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth   -0.621    0.534   -1.162    0.245   -0.621   -0.378
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth    1.765    0.114   15.470    0.000    1.765    0.655
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 28 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_val_overall ~                                                      
##     female              0.010    0.101    0.095    0.925    0.010    0.004
##     urm                -0.074    0.186   -0.398    0.690   -0.074   -0.016
##     Best_MPS            0.036    0.012    3.002    0.003    0.036    0.145
##     pre_val_overll      0.357    0.058    6.207    0.000    0.357    0.297
##     eoc_val_avg         0.298    0.059    5.054    0.000    0.298    0.336
##     participat_c_3      0.184    0.097    1.901    0.057    0.184    0.072
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    0.991    0.379    2.614    0.009    0.991    0.797
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.061    0.082   12.966    0.000    1.061    0.687
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 27 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_exp_overall ~                                                      
##     female             -0.172    0.095   -1.806    0.071   -0.172   -0.070
##     urm                 0.232    0.180    1.293    0.196    0.232    0.055
##     Best_MPS            0.040    0.013    3.194    0.001    0.040    0.169
##     pre_exp_overll      0.512    0.050   10.166    0.000    0.512    0.435
##     eoc_comp_avg        0.032    0.072    0.439    0.660    0.032    0.035
##     participat_c_3      0.063    0.093    0.675    0.500    0.063    0.026
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.481    0.405    3.657    0.000    1.481    1.266
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.031    0.066   15.644    0.000    1.031    0.753
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_te_overall ~                                                      
##     female                  0.068    0.104    0.658    0.510    0.068    0.023
##     urm                    -0.139    0.194   -0.717    0.474   -0.139   -0.027
##     Best_MPS               -0.031    0.014   -2.264    0.024   -0.031   -0.108
##     pre_cst_t_vrll          0.261    0.057    4.618    0.000    0.261    0.228
##     eoc_cost_te_vg          0.472    0.059    8.047    0.000    0.472    0.478
##     participat_c_3         -0.226    0.100   -2.249    0.024   -0.226   -0.078
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.805    0.345    5.234    0.000    1.805    1.286
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.097    0.085   12.871    0.000    1.097    0.557
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 31 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_oe_overall ~                                                      
##     female                 -0.001    0.101   -0.014    0.989   -0.001   -0.000
##     urm                    -0.520    0.190   -2.731    0.006   -0.520   -0.109
##     Best_MPS               -0.033    0.013   -2.594    0.009   -0.033   -0.123
##     pre_cost__vrll          0.231    0.058    3.967    0.000    0.231    0.198
##     eoc_cost_oe_vg          0.497    0.062    8.079    0.000    0.497    0.486
##     participat_c_3         -0.057    0.097   -0.591    0.555   -0.057   -0.021
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.860    0.309    6.015    0.000    1.860    1.417
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.026    0.081   12.699    0.000    1.026    0.595
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 31 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_lv_overall ~                                                      
##     female                 -0.021    0.103   -0.199    0.842   -0.021   -0.007
##     urm                    -0.350    0.194   -1.807    0.071   -0.350   -0.072
##     Best_MPS               -0.029    0.013   -2.205    0.027   -0.029   -0.106
##     pr_cst_lv_vrll          0.249    0.053    4.708    0.000    0.249    0.220
##     eoc_cost_lv_vg          0.455    0.056    8.124    0.000    0.455    0.465
##     participat_c_3         -0.183    0.100   -1.833    0.067   -0.183   -0.066
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.864    0.329    5.669    0.000    1.864    1.390
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.089    0.083   13.056    0.000    1.089    0.606
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 31 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_em_overall ~                                                      
##     female                  0.077    0.111    0.693    0.488    0.077    0.024
##     urm                    -0.300    0.204   -1.469    0.142   -0.300   -0.053
##     Best_MPS               -0.021    0.015   -1.419    0.156   -0.021   -0.067
##     pre_cst_m_vrll          0.230    0.053    4.336    0.000    0.230    0.193
##     eoc_cost_em_vg          0.556    0.052   10.628    0.000    0.556    0.568
##     participat_c_3         -0.294    0.106   -2.789    0.005   -0.294   -0.093
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.730    0.392    4.412    0.000    1.730    1.122
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.140    0.095   12.011    0.000    1.140    0.479
##   cfi   tli rmsea  srmr 
##     1     1     0     0

With signals responded to EOC only + average eoc

## lavaan 0.6-7 ended normally after 24 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        23
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_int_overall ~                                                      
##     female             -0.136    0.095   -1.434    0.152   -0.136   -0.043
##     urm                -0.078    0.171   -0.456    0.648   -0.078   -0.014
##     Best_MPS            0.030    0.012    2.632    0.008    0.030    0.099
##     pre_int_overll      0.684    0.045   15.171    0.000    0.684    0.610
##     eoc_int_avg         0.179    0.058    3.111    0.002    0.179    0.180
##     sgnls_rspnd___     -0.008    0.017   -0.453    0.650   -0.008   -0.020
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    0.044    0.270    0.161    0.872    0.044    0.029
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    1.028    0.069   14.978    0.000    1.028    0.444
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                         Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_confident_math ~                                                      
##     female                -0.468    0.126   -3.720    0.000   -0.468   -0.135
##     urm                    0.059    0.228    0.258    0.796    0.059    0.010
##     Best_MPS               0.088    0.015    5.947    0.000    0.088    0.265
##     pre_confident          0.762    0.069   11.058    0.000    0.762    0.422
##     eoc_comp_avg           0.030    0.097    0.311    0.756    0.030    0.023
##     sgnls_rspnd___         0.016    0.023    0.690    0.490    0.016    0.037
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth   -0.457    0.534   -0.856    0.392   -0.457   -0.278
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth    1.860    0.116   16.058    0.000    1.860    0.686
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 27 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        23
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_val_overall ~                                                      
##     female             -0.031    0.097   -0.316    0.752   -0.031   -0.012
##     urm                 0.004    0.174    0.023    0.982    0.004    0.001
##     Best_MPS            0.033    0.011    2.931    0.003    0.033    0.135
##     pre_val_overll      0.339    0.054    6.289    0.000    0.339    0.286
##     eoc_val_avg         0.295    0.057    5.155    0.000    0.295    0.337
##     sgnls_rspnd___      0.045    0.018    2.546    0.011    0.045    0.142
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.085    0.352    3.082    0.002    1.085    0.886
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.018    0.078   12.972    0.000    1.018    0.679
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 26 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        23
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_exp_overall ~                                                      
##     female             -0.194    0.092   -2.098    0.036   -0.194   -0.079
##     urm                 0.332    0.170    1.950    0.051    0.332    0.080
##     Best_MPS            0.036    0.012    3.114    0.002    0.036    0.157
##     pre_exp_overll      0.498    0.048   10.405    0.000    0.498    0.426
##     eoc_comp_avg        0.035    0.071    0.492    0.622    0.035    0.038
##     sgnls_rspnd___      0.025    0.018    1.396    0.163    0.025    0.082
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.552    0.382    4.064    0.000    1.552    1.340
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.010    0.063   16.064    0.000    1.010    0.753
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 28 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        23
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_te_overall ~                                                      
##     female                  0.068    0.102    0.671    0.502    0.068    0.023
##     urm                    -0.218    0.187   -1.170    0.242   -0.218   -0.043
##     Best_MPS               -0.026    0.013   -2.038    0.042   -0.026   -0.093
##     pre_cst_t_vrll          0.242    0.055    4.391    0.000    0.242    0.212
##     eoc_cost_te_vg          0.483    0.058    8.353    0.000    0.483    0.489
##     sgnls_rspnd___         -0.034    0.017   -2.014    0.044   -0.034   -0.092
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.792    0.335    5.353    0.000    1.792    1.277
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.100    0.085   12.928    0.000    1.100    0.558
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 29 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        23
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_oe_overall ~                                                      
##     female                  0.007    0.099    0.076    0.940    0.007    0.003
##     urm                    -0.484    0.182   -2.662    0.008   -0.484   -0.102
##     Best_MPS               -0.035    0.012   -2.971    0.003   -0.035   -0.132
##     pre_cost__vrll          0.229    0.057    4.007    0.000    0.229    0.193
##     eoc_cost_oe_vg          0.498    0.061    8.157    0.000    0.498    0.482
##     sgnls_rspnd___         -0.045    0.016   -2.777    0.005   -0.045   -0.129
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    2.074    0.298    6.959    0.000    2.074    1.570
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.009    0.080   12.650    0.000    1.009    0.578
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 29 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        23
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_lv_overall ~                                                      
##     female                 -0.016    0.100   -0.163    0.871   -0.016   -0.006
##     urm                    -0.366    0.184   -1.990    0.047   -0.366   -0.076
##     Best_MPS               -0.028    0.012   -2.329    0.020   -0.028   -0.106
##     pr_cst_lv_vrll          0.248    0.052    4.803    0.000    0.248    0.216
##     eoc_cost_lv_vg          0.460    0.055    8.367    0.000    0.460    0.468
##     sgnls_rspnd___         -0.041    0.016   -2.487    0.013   -0.041   -0.116
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.961    0.317    6.186    0.000    1.961    1.459
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.069    0.081   13.146    0.000    1.069    0.592
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 28 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        23
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_em_overall ~                                                      
##     female                  0.073    0.108    0.673    0.501    0.073    0.022
##     urm                    -0.384    0.195   -1.976    0.048   -0.384   -0.070
##     Best_MPS               -0.018    0.014   -1.297    0.195   -0.018   -0.059
##     pre_cst_m_vrll          0.241    0.052    4.658    0.000    0.241    0.203
##     eoc_cost_em_vg          0.548    0.052   10.632    0.000    0.548    0.561
##     sgnls_rspnd___         -0.044    0.018   -2.477    0.013   -0.044   -0.109
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.706    0.380    4.490    0.000    1.706    1.110
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.116    0.092   12.141    0.000    1.116    0.472
##   cfi   tli rmsea  srmr 
##     1     1     0     0

Sep 15 Analysis

Path Analysis with eoc_2 (1 = invited and responded; 0 = not invited OR did not participate) + interaction

## lavaan 0.6-7 ended normally after 29 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_int_overall ~                                                      
##     female             -0.207    0.092   -2.239    0.025   -0.207   -0.065
##     urm                -0.008    0.170   -0.050    0.960   -0.008   -0.002
##     Best_MPS            0.032    0.012    2.704    0.007    0.032    0.104
##     pre_int_overll      0.761    0.042   18.334    0.000    0.761    0.679
##     participat_c_2     -0.340    0.377   -0.903    0.367   -0.340   -0.107
##     pre_int_eoc_2       0.053    0.072    0.744    0.457    0.053    0.089
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    0.331    0.284    1.166    0.243    0.331    0.218
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    1.083    0.066   16.451    0.000    1.083    0.469
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 35 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                         9
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                         Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_confident_math ~                                                      
##     female                -0.460    0.122   -3.756    0.000   -0.460   -0.132
##     urm                    0.049    0.221    0.221    0.825    0.049    0.008
##     Best_MPS               0.091    0.014    6.372    0.000    0.091    0.273
##     pre_confident          0.838    0.085    9.864    0.000    0.838    0.463
##     participat_c_2         1.169    0.694    1.685    0.092    1.169    0.337
##     pre_con_eoc_2         -0.195    0.137   -1.425    0.154   -0.195   -0.288
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth   -0.762    0.503   -1.514    0.130   -0.762   -0.461
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth    1.847    0.115   16.097    0.000    1.847    0.677
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 33 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_val_overall ~                                                      
##     female             -0.100    0.096   -1.037    0.300   -0.100   -0.039
##     urm                -0.050    0.178   -0.278    0.781   -0.050   -0.011
##     Best_MPS            0.035    0.012    2.999    0.003    0.035    0.143
##     pre_val_overll      0.547    0.059    9.245    0.000    0.547    0.462
##     participat_c_2      1.279    0.579    2.208    0.027    1.279    0.497
##     pre_val_eoc_2      -0.196    0.099   -1.980    0.048   -0.196   -0.452
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.432    0.392    3.652    0.000    1.432    1.168
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.179    0.072   16.478    0.000    1.179    0.784
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 34 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_exp_overall ~                                                      
##     female             -0.176    0.090   -1.969    0.049   -0.176   -0.072
##     urm                 0.313    0.166    1.884    0.060    0.313    0.075
##     Best_MPS            0.038    0.011    3.353    0.001    0.038    0.163
##     pre_exp_overll      0.557    0.058    9.546    0.000    0.557    0.475
##     participat_c_2      0.739    0.544    1.360    0.174    0.739    0.304
##     pre_exp_eoc_2      -0.122    0.093   -1.311    0.190   -0.122   -0.297
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.447    0.393    3.681    0.000    1.447    1.246
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.018    0.062   16.332    0.000    1.018    0.755
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 33 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_te_overall ~                                                      
##     female                  0.054    0.106    0.516    0.606    0.054    0.018
##     urm                    -0.159    0.195   -0.815    0.415   -0.159   -0.032
##     Best_MPS               -0.050    0.013   -3.746    0.000   -0.050   -0.176
##     pre_cst_t_vrll          0.565    0.055   10.340    0.000    0.565    0.493
##     participat_c_2         -0.195    0.306   -0.635    0.525   -0.195   -0.066
##     pre_cost_t_c_2         -0.021    0.087   -0.240    0.811   -0.021   -0.026
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    2.621    0.346    7.582    0.000    2.621    1.865
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.407    0.087   16.236    0.000    1.407    0.712
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 32 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_oe_overall ~                                                      
##     female                  0.043    0.102    0.419    0.675    0.043    0.015
##     urm                    -0.214    0.190   -1.124    0.261   -0.214   -0.045
##     Best_MPS               -0.044    0.012   -3.543    0.000   -0.044   -0.166
##     pre_cost__vrll          0.521    0.059    8.808    0.000    0.521    0.441
##     participat_c_2         -0.168    0.279   -0.602    0.547   -0.168   -0.061
##     pre_cost_o_c_2          0.035    0.095    0.367    0.714    0.035    0.038
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    2.591    0.314    8.251    0.000    2.591    1.970
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.318    0.081   16.340    0.000    1.318    0.762
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 32 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_lv_overall ~                                                      
##     female                 -0.027    0.104   -0.259    0.795   -0.027   -0.010
##     urm                    -0.361    0.192   -1.877    0.060   -0.361   -0.075
##     Best_MPS               -0.046    0.013   -3.572    0.000   -0.046   -0.171
##     pr_cst_lv_vrll          0.502    0.057    8.883    0.000    0.502    0.439
##     participat_c_2         -0.208    0.300   -0.692    0.489   -0.208   -0.074
##     pre_cst_lv_c_2          0.005    0.090    0.053    0.958    0.005    0.006
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    2.664    0.338    7.887    0.000    2.664    1.992
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.363    0.083   16.336    0.000    1.363    0.762
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 34 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_em_overall ~                                                      
##     female                  0.107    0.114    0.940    0.347    0.107    0.033
##     urm                    -0.261    0.209   -1.249    0.212   -0.261   -0.048
##     Best_MPS               -0.055    0.014   -3.856    0.000   -0.055   -0.180
##     pre_cst_m_vrll          0.588    0.056   10.545    0.000    0.588    0.496
##     participat_c_2         -0.220    0.342   -0.642    0.521   -0.220   -0.068
##     pre_cost_m_c_2         -0.032    0.089   -0.356    0.722   -0.032   -0.039
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    2.841    0.388    7.328    0.000    2.841    1.854
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.609    0.099   16.231    0.000    1.609    0.685
##   cfi   tli rmsea  srmr 
##     1     1     0     0

Path Analysis with eoc_3 (1 = invited and responded; 0 = not invited OR did not participate) Filtering out 2’s + Interaction

## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_int_overall ~                                                      
##     female             -0.200    0.097   -2.073    0.038   -0.200   -0.062
##     urm                -0.062    0.182   -0.342    0.733   -0.062   -0.011
##     Best_MPS            0.031    0.013    2.441    0.015    0.031    0.098
##     pre_int_overll      0.765    0.043   17.588    0.000    0.765    0.680
##     participat_c_3     -0.302    0.386   -0.784    0.433   -0.302   -0.096
##     pre_int_eoc_3       0.050    0.074    0.679    0.497    0.050    0.085
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    0.316    0.309    1.024    0.306    0.316    0.206
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    1.100    0.069   15.854    0.000    1.100    0.469
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 35 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                         8
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                         Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_confident_math ~                                                      
##     female                -0.496    0.124   -3.996    0.000   -0.496   -0.143
##     urm                   -0.106    0.228   -0.466    0.642   -0.106   -0.018
##     Best_MPS               0.094    0.015    6.334    0.000    0.094    0.279
##     pre_confident          0.890    0.088   10.083    0.000    0.890    0.493
##     participat_c_3         1.496    0.694    2.157    0.031    1.496    0.443
##     pre_con_eoc_3         -0.253    0.137   -1.851    0.064   -0.253   -0.384
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth   -1.090    0.528   -2.065    0.039   -1.090   -0.661
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth    1.752    0.113   15.446    0.000    1.752    0.645
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 33 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_val_overall ~                                                      
##     female             -0.109    0.101   -1.078    0.281   -0.109   -0.041
##     urm                -0.075    0.190   -0.394    0.694   -0.075   -0.016
##     Best_MPS            0.040    0.013    3.216    0.001    0.040    0.159
##     pre_val_overll      0.593    0.065    9.185    0.000    0.593    0.491
##     participat_c_3      1.586    0.602    2.633    0.008    1.586    0.620
##     pre_val_eoc_3      -0.247    0.103   -2.398    0.016   -0.247   -0.575
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.058    0.438    2.416    0.016    1.058    0.848
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.192    0.075   15.822    0.000    1.192    0.766
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 34 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_exp_overall ~                                                      
##     female             -0.176    0.094   -1.873    0.061   -0.176   -0.071
##     urm                 0.241    0.176    1.366    0.172    0.241    0.057
##     Best_MPS            0.041    0.012    3.427    0.001    0.041    0.174
##     pre_exp_overll      0.580    0.063    9.145    0.000    0.580    0.491
##     participat_c_3      0.903    0.563    1.604    0.109    0.903    0.376
##     pre_exp_eoc_3      -0.147    0.097   -1.515    0.130   -0.147   -0.361
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.224    0.429    2.851    0.004    1.224    1.044
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.028    0.066   15.673    0.000    1.028    0.747
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 33 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_te_overall ~                                                      
##     female                  0.104    0.109    0.951    0.341    0.104    0.035
##     urm                    -0.106    0.205   -0.515    0.607   -0.106   -0.021
##     Best_MPS               -0.054    0.014   -3.852    0.000   -0.054   -0.189
##     pre_cst_t_vrll          0.588    0.058   10.199    0.000    0.588    0.511
##     participat_c_3         -0.111    0.312   -0.358    0.721   -0.111   -0.039
##     pre_cost_t_c_3         -0.046    0.088   -0.519    0.604   -0.046   -0.058
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    2.607    0.365    7.141    0.000    2.607    1.853
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.379    0.089   15.561    0.000    1.379    0.697
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 33 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_oe_overall ~                                                      
##     female                  0.085    0.105    0.810    0.418    0.085    0.031
##     urm                    -0.311    0.199   -1.562    0.118   -0.311   -0.065
##     Best_MPS               -0.040    0.013   -3.084    0.002   -0.040   -0.153
##     pre_cost__vrll          0.520    0.061    8.563    0.000    0.520    0.448
##     participat_c_3         -0.130    0.282   -0.460    0.645   -0.130   -0.048
##     pre_cost_o_c_3          0.035    0.096    0.361    0.718    0.035    0.039
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    2.483    0.329    7.535    0.000    2.483    1.900
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.294    0.082   15.758    0.000    1.294    0.758
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 32 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_lv_overall ~                                                      
##     female                  0.029    0.108    0.269    0.788    0.029    0.010
##     urm                    -0.389    0.204   -1.908    0.056   -0.389   -0.080
##     Best_MPS               -0.045    0.014   -3.314    0.001   -0.045   -0.168
##     pr_cst_lv_vrll          0.490    0.060    8.222    0.000    0.490    0.434
##     participat_c_3         -0.242    0.307   -0.788    0.431   -0.242   -0.089
##     pre_cst_lv_c_3          0.015    0.092    0.161    0.872    0.015    0.019
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    2.677    0.356    7.513    0.000    2.677    2.007
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.366    0.087   15.732    0.000    1.366    0.768
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 33 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_em_overall ~                                                      
##     female                  0.180    0.119    1.511    0.131    0.180    0.056
##     urm                    -0.210    0.222   -0.943    0.346   -0.210   -0.037
##     Best_MPS               -0.059    0.015   -3.863    0.000   -0.059   -0.189
##     pre_cst_m_vrll          0.581    0.059    9.818    0.000    0.581    0.489
##     participat_c_3         -0.213    0.352   -0.604    0.546   -0.213   -0.067
##     pre_cost_m_c_3         -0.033    0.092   -0.364    0.715   -0.033   -0.042
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    2.909    0.414    7.024    0.000    2.909    1.890
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.622    0.104   15.591    0.000    1.622    0.685
##   cfi   tli rmsea  srmr 
##     1     1     0     0

With signals responded to EOC only + Interaction

## lavaan 0.6-7 ended normally after 27 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_int_overall ~                                                      
##     female             -0.194    0.094   -2.062    0.039   -0.194   -0.061
##     urm                -0.024    0.171   -0.140    0.888   -0.024   -0.004
##     Best_MPS            0.034    0.012    2.896    0.004    0.034    0.113
##     pre_int_overll      0.734    0.071   10.308    0.000    0.734    0.656
##     sgnls_rspnd___     -0.058    0.072   -0.806    0.420   -0.058   -0.146
##     pre_int_signls      0.010    0.014    0.699    0.484    0.010    0.132
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    0.434    0.379    1.145    0.252    0.434    0.286
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    1.080    0.066   16.346    0.000    1.080    0.470
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 32 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        14
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                         Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_confident_math ~                                                      
##     female                -0.468    0.125   -3.754    0.000   -0.468   -0.135
##     urm                    0.067    0.223    0.303    0.762    0.067    0.011
##     Best_MPS               0.088    0.014    6.188    0.000    0.088    0.267
##     pre_confident          0.721    0.135    5.351    0.000    0.721    0.401
##     sgnls_rspnd___        -0.029    0.121   -0.236    0.814   -0.029   -0.067
##     pre_con_signls         0.009    0.024    0.361    0.718    0.009    0.104
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth   -0.125    0.725   -0.172    0.863   -0.125   -0.076
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth    1.862    0.116   16.078    0.000    1.862    0.689
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 33 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_val_overall ~                                                      
##     female             -0.138    0.097   -1.419    0.156   -0.138   -0.053
##     urm                 0.010    0.179    0.058    0.954    0.010    0.002
##     Best_MPS            0.034    0.012    2.852    0.004    0.034    0.138
##     pre_val_overll      0.544    0.094    5.792    0.000    0.544    0.459
##     sgnls_rspnd___      0.127    0.099    1.281    0.200    0.127    0.400
##     pre_val_signls     -0.014    0.017   -0.835    0.404   -0.014   -0.271
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.337    0.529    2.528    0.011    1.337    1.090
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.157    0.073   15.791    0.000    1.157    0.769
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_exp_overall ~                                                      
##     female             -0.204    0.091   -2.234    0.026   -0.204   -0.084
##     urm                 0.341    0.167    2.041    0.041    0.341    0.082
##     Best_MPS            0.038    0.011    3.355    0.001    0.038    0.162
##     pre_exp_overll      0.562    0.089    6.320    0.000    0.562    0.480
##     sgnls_rspnd___      0.094    0.096    0.974    0.330    0.094    0.310
##     pre_exp_signls     -0.012    0.016   -0.739    0.460   -0.012   -0.242
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.334    0.531    2.511    0.012    1.334    1.150
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.009    0.063   16.096    0.000    1.009    0.750
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 33 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_te_overall ~                                                      
##     female                  0.089    0.107    0.831    0.406    0.089    0.030
##     urm                    -0.217    0.196   -1.107    0.268   -0.217   -0.043
##     Best_MPS               -0.050    0.013   -3.742    0.000   -0.050   -0.177
##     pre_cst_t_vrll          0.441    0.082    5.400    0.000    0.441    0.388
##     sgnls_rspnd___         -0.123    0.055   -2.247    0.025   -0.123   -0.339
##     pr_cst_t_sgnls          0.026    0.016    1.620    0.105    0.026    0.259
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    3.097    0.413    7.498    0.000    3.097    2.217
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.386    0.088   15.822    0.000    1.386    0.711
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 34 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_oe_overall ~                                                      
##     female                  0.083    0.103    0.806    0.420    0.083    0.030
##     urm                    -0.269    0.189   -1.426    0.154   -0.269   -0.057
##     Best_MPS               -0.043    0.012   -3.559    0.000   -0.043   -0.165
##     pre_cost__vrll          0.437    0.097    4.486    0.000    0.437    0.370
##     sgnls_rspnd___         -0.104    0.051   -2.060    0.039   -0.104   -0.306
##     pre_cst__sgnls          0.019    0.018    1.110    0.267    0.019    0.180
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    3.008    0.387    7.779    0.000    3.008    2.296
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.275    0.081   15.821    0.000    1.275    0.742
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 34 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_lv_overall ~                                                      
##     female                  0.010    0.105    0.091    0.927    0.010    0.003
##     urm                    -0.412    0.193   -2.135    0.033   -0.412   -0.086
##     Best_MPS               -0.045    0.013   -3.537    0.000   -0.045   -0.170
##     pr_cst_lv_vrll          0.447    0.085    5.264    0.000    0.447    0.392
##     sgnls_rspnd___         -0.075    0.055   -1.347    0.178   -0.075   -0.215
##     pr_cst_lv_sgnl          0.012    0.017    0.724    0.469    0.012    0.121
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    2.912    0.409    7.114    0.000    2.912    2.182
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.350    0.084   16.091    0.000    1.350    0.758
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 32 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_em_overall ~                                                      
##     female                  0.176    0.115    1.525    0.127    0.176    0.054
##     urm                    -0.333    0.210   -1.586    0.113   -0.333   -0.061
##     Best_MPS               -0.053    0.014   -3.729    0.000   -0.053   -0.174
##     pre_cst_m_vrll          0.631    0.087    7.241    0.000    0.631    0.530
##     sgnls_rspnd___         -0.016    0.063   -0.254    0.800   -0.016   -0.040
##     pr_cst_m_sgnls         -0.012    0.016   -0.727    0.467   -0.012   -0.123
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    2.770    0.471    5.875    0.000    2.770    1.803
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.580    0.101   15.631    0.000    1.580    0.670
##   cfi   tli rmsea  srmr 
##     1     1     0     0

Sep 15 Analysis

Path Analysis with eoc_2 (1 = invited and responded; 0 = not invited OR did not participate) + interaction + eoc_avg

## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_int_overall ~                                                      
##     female             -0.142    0.094   -1.514    0.130   -0.142   -0.044
##     urm                -0.062    0.170   -0.368    0.713   -0.062   -0.011
##     Best_MPS            0.030    0.012    2.586    0.010    0.030    0.097
##     eoc_int_avg         0.185    0.057    3.211    0.001    0.185    0.213
##     pre_int_overll      0.590    0.068    8.732    0.000    0.590    0.525
##     participat_c_2     -0.717    0.387   -1.850    0.064   -0.717   -0.224
##     pre_int_eoc_2       0.132    0.075    1.771    0.077    0.132    0.221
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    0.468    0.285    1.641    0.101    0.468    0.307
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    1.023    0.069   14.913    0.000    1.023    0.442
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 32 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_val_overall ~                                                      
##     female              0.004    0.097    0.037    0.970    0.004    0.001
##     urm                -0.062    0.174   -0.355    0.723   -0.062   -0.014
##     Best_MPS            0.033    0.011    2.921    0.003    0.033    0.135
##     eoc_val_avg         0.293    0.058    5.052    0.000    0.293    0.323
##     pre_val_overll      0.490    0.060    8.132    0.000    0.490    0.413
##     participat_c_2      1.678    0.562    2.984    0.003    1.678    0.651
##     pre_val_eoc_2      -0.264    0.096   -2.749    0.006   -0.264   -0.609
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    0.347    0.446    0.779    0.436    0.347    0.283
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.038    0.078   13.250    0.000    1.038    0.688
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 34 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_exp_overall ~                                                      
##     female             -0.170    0.091   -1.876    0.061   -0.170   -0.070
##     urm                 0.301    0.169    1.783    0.075    0.301    0.072
##     Best_MPS            0.037    0.012    3.131    0.002    0.037    0.158
##     eoc_comp_avg        0.030    0.071    0.426    0.670    0.030    0.033
##     pre_exp_overll      0.560    0.059    9.504    0.000    0.560    0.478
##     participat_c_2      0.774    0.556    1.392    0.164    0.774    0.318
##     pre_exp_eoc_2      -0.128    0.096   -1.344    0.179   -0.128   -0.312
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.306    0.503    2.595    0.009    1.306    1.125
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.016    0.062   16.294    0.000    1.016    0.754
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 32 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_te_overall ~                                                      
##     female                  0.030    0.101    0.298    0.766    0.030    0.010
##     urm                    -0.176    0.186   -0.948    0.343   -0.176   -0.035
##     Best_MPS               -0.027    0.013   -2.089    0.037   -0.027   -0.096
##     eoc_cost_te_vg          0.481    0.058    8.258    0.000    0.481    0.448
##     pre_cst_t_vrll          0.417    0.058    7.247    0.000    0.417    0.364
##     participat_c_2          0.396    0.295    1.344    0.179    0.396    0.134
##     pre_cost_t_c_2         -0.189    0.084   -2.266    0.023   -0.189   -0.234
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.211    0.380    3.185    0.001    1.211    0.862
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.110    0.085   13.002    0.000    1.110    0.563
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 34 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_oe_overall ~                                                      
##     female                 -0.039    0.098   -0.395    0.693   -0.039   -0.014
##     urm                    -0.440    0.183   -2.405    0.016   -0.440   -0.093
##     Best_MPS               -0.035    0.012   -2.955    0.003   -0.035   -0.134
##     eoc_cost_oe_vg          0.507    0.061    8.249    0.000    0.507    0.448
##     pre_cost__vrll          0.476    0.060    7.967    0.000    0.476    0.401
##     participat_c_2          0.588    0.277    2.121    0.034    0.588    0.212
##     pre_cost_o_c_2         -0.237    0.095   -2.501    0.012   -0.237   -0.259
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.227    0.349    3.513    0.000    1.227    0.930
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.035    0.081   12.719    0.000    1.035    0.594
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_lv_overall ~                                                      
##     female                 -0.069    0.100   -0.696    0.486   -0.069   -0.024
##     urm                    -0.317    0.183   -1.731    0.083   -0.317   -0.066
##     Best_MPS               -0.028    0.012   -2.292    0.022   -0.028   -0.105
##     eoc_cost_lv_vg          0.461    0.055    8.318    0.000    0.461    0.452
##     pr_cst_lv_vrll          0.681    0.061   11.203    0.000    0.681    0.593
##     participat_c_2          1.167    0.326    3.575    0.000    1.167    0.414
##     pre_cst_lv_c_2         -0.429    0.099   -4.321    0.000   -0.429   -0.532
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    0.498    0.424    1.175    0.240    0.498    0.370
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.076    0.082   13.134    0.000    1.076    0.595
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 32 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_em_overall ~                                                      
##     female                  0.028    0.107    0.259    0.796    0.028    0.009
##     urm                    -0.333    0.194   -1.717    0.086   -0.333   -0.061
##     Best_MPS               -0.019    0.014   -1.353    0.176   -0.019   -0.062
##     eoc_cost_em_vg          0.552    0.051   10.724    0.000    0.552    0.551
##     pre_cst_m_vrll          0.297    0.062    4.795    0.000    0.297    0.250
##     participat_c_2         -0.052    0.309   -0.167    0.867   -0.052   -0.016
##     pre_cost_m_c_2         -0.071    0.081   -0.876    0.381   -0.071   -0.087
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.492    0.399    3.738    0.000    1.492    0.971
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.132    0.093   12.188    0.000    1.132    0.480
##   cfi   tli rmsea  srmr 
##     1     1     0     0

Path Analysis with eoc_3 (1 = invited and responded; 0 = not invited OR did not participate) Filtering out 2’s + Interaction

## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_int_overall ~                                                      
##     female             -0.135    0.098   -1.378    0.168   -0.135   -0.042
##     urm                -0.115    0.180   -0.639    0.523   -0.115   -0.021
##     Best_MPS            0.029    0.012    2.352    0.019    0.029    0.093
##     eoc_int_avg         0.188    0.058    3.222    0.001    0.188    0.218
##     pre_int_overll      0.582    0.071    8.154    0.000    0.582    0.517
##     participat_c_3     -0.719    0.400   -1.797    0.072   -0.719   -0.229
##     pre_int_eoc_3       0.138    0.077    1.782    0.075    0.138    0.234
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    0.487    0.311    1.564    0.118    0.487    0.317
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    1.038    0.072   14.464    0.000    1.038    0.441
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 37 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                         Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_confident_math ~                                                      
##     female                -0.493    0.125   -3.937    0.000   -0.493   -0.142
##     urm                   -0.113    0.232   -0.488    0.626   -0.113   -0.019
##     Best_MPS               0.093    0.015    6.110    0.000    0.093    0.277
##     eoc_comp_avg           0.020    0.093    0.214    0.831    0.020    0.015
##     pre_confident          0.891    0.088   10.083    0.000    0.891    0.493
##     participat_c_3         1.488    0.697    2.135    0.033    1.488    0.441
##     pre_con_eoc_3         -0.252    0.138   -1.827    0.068   -0.252   -0.381
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth   -1.171    0.650   -1.802    0.072   -1.171   -0.710
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth    1.751    0.113   15.443    0.000    1.751    0.645
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 33 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_val_overall ~                                                      
##     female             -0.004    0.101   -0.036    0.971   -0.004   -0.001
##     urm                -0.086    0.185   -0.466    0.641   -0.086   -0.019
##     Best_MPS            0.038    0.012    3.110    0.002    0.038    0.149
##     eoc_val_avg         0.297    0.059    5.054    0.000    0.297    0.322
##     pre_val_overll      0.535    0.066    8.129    0.000    0.535    0.442
##     participat_c_3      1.976    0.585    3.377    0.001    1.976    0.772
##     pre_val_eoc_3      -0.314    0.100   -3.135    0.002   -0.314   -0.730
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll   -0.017    0.484   -0.035    0.972   -0.017   -0.014
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.048    0.081   12.917    0.000    1.048    0.671
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 34 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_exp_overall ~                                                      
##     female             -0.170    0.095   -1.786    0.074   -0.170   -0.069
##     urm                 0.230    0.179    1.282    0.200    0.230    0.054
##     Best_MPS            0.040    0.013    3.221    0.001    0.040    0.170
##     eoc_comp_avg        0.031    0.072    0.424    0.672    0.031    0.033
##     pre_exp_overll      0.584    0.064    9.102    0.000    0.584    0.494
##     participat_c_3      0.940    0.577    1.629    0.103    0.940    0.391
##     pre_exp_eoc_3      -0.153    0.099   -1.541    0.123   -0.153   -0.377
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.080    0.537    2.011    0.044    1.080    0.921
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.026    0.066   15.643    0.000    1.026    0.745
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 32 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_te_overall ~                                                      
##     female                  0.070    0.104    0.675    0.499    0.070    0.024
##     urm                    -0.133    0.194   -0.686    0.493   -0.133   -0.026
##     Best_MPS               -0.030    0.014   -2.232    0.026   -0.030   -0.106
##     eoc_cost_te_vg          0.473    0.058    8.083    0.000    0.473    0.444
##     pre_cst_t_vrll          0.431    0.061    7.085    0.000    0.431    0.376
##     participat_c_3          0.437    0.300    1.454    0.146    0.437    0.152
##     pre_cost_t_c_3         -0.200    0.085   -2.352    0.019   -0.200   -0.255
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.230    0.396    3.104    0.002    1.230    0.876
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.096    0.085   12.858    0.000    1.096    0.555
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 33 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_oe_overall ~                                                      
##     female                 -0.004    0.101   -0.039    0.969   -0.004   -0.001
##     urm                    -0.517    0.190   -2.715    0.007   -0.517   -0.108
##     Best_MPS               -0.033    0.013   -2.584    0.010   -0.033   -0.122
##     eoc_cost_oe_vg          0.499    0.061    8.110    0.000    0.499    0.446
##     pre_cost__vrll          0.477    0.061    7.782    0.000    0.477    0.410
##     participat_c_3          0.621    0.281    2.211    0.027    0.621    0.231
##     pre_cost_o_c_3         -0.235    0.096   -2.452    0.014   -0.235   -0.266
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.146    0.361    3.172    0.002    1.146    0.873
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.023    0.081   12.655    0.000    1.023    0.594
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_lv_overall ~                                                      
##     female                 -0.025    0.103   -0.247    0.805   -0.025   -0.009
##     urm                    -0.347    0.193   -1.799    0.072   -0.347   -0.071
##     Best_MPS               -0.028    0.013   -2.133    0.033   -0.028   -0.103
##     eoc_cost_lv_vg          0.462    0.056    8.256    0.000    0.462    0.459
##     pr_cst_lv_vrll          0.683    0.064   10.602    0.000    0.683    0.602
##     participat_c_3          1.181    0.336    3.513    0.000    1.181    0.430
##     pre_cst_lv_c_3         -0.433    0.102   -4.228    0.000   -0.433   -0.553
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    0.464    0.442    1.051    0.293    0.464    0.346
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.079    0.083   12.927    0.000    1.079    0.600
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 31 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_em_overall ~                                                      
##     female                  0.078    0.111    0.702    0.482    0.078    0.024
##     urm                    -0.296    0.204   -1.451    0.147   -0.296   -0.053
##     Best_MPS               -0.021    0.015   -1.393    0.163   -0.021   -0.066
##     eoc_cost_em_vg          0.556    0.052   10.622    0.000    0.556    0.556
##     pre_cst_m_vrll          0.286    0.065    4.375    0.000    0.286    0.240
##     participat_c_3         -0.052    0.320   -0.161    0.872   -0.052   -0.016
##     pre_cost_m_c_3         -0.067    0.083   -0.810    0.418   -0.067   -0.085
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.522    0.423    3.597    0.000    1.522    0.986
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.141    0.095   12.010    0.000    1.141    0.479
##   cfi   tli rmsea  srmr 
##     1     1     0     0

With signals responded to EOC only + Interaction

## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        23
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_int_overall ~                                                      
##     female             -0.131    0.095   -1.372    0.170   -0.131   -0.041
##     urm                -0.080    0.171   -0.469    0.639   -0.080   -0.015
##     Best_MPS            0.032    0.012    2.763    0.006    0.032    0.106
##     eoc_int_avg         0.180    0.058    3.138    0.002    0.180    0.183
##     pre_int_overll      0.627    0.077    8.154    0.000    0.627    0.561
##     sgnls_rspnd___     -0.069    0.070   -0.995    0.320   -0.069   -0.175
##     pre_int_signls      0.012    0.013    0.908    0.364    0.012    0.166
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    0.285    0.376    0.760    0.447    0.285    0.188
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    1.023    0.069   14.888    0.000    1.023    0.445
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 36 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        18
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                         Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_confident_math ~                                                      
##     female                -0.465    0.126   -3.689    0.000   -0.465   -0.134
##     urm                    0.057    0.227    0.252    0.801    0.057    0.010
##     Best_MPS               0.087    0.015    5.921    0.000    0.087    0.264
##     eoc_comp_avg           0.029    0.097    0.299    0.765    0.029    0.023
##     pre_confident          0.721    0.135    5.353    0.000    0.721    0.400
##     sgnls_rspnd___        -0.026    0.121   -0.213    0.831   -0.026   -0.060
##     pre_con_signls         0.008    0.024    0.348    0.728    0.008    0.101
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth   -0.245    0.811   -0.302    0.763   -0.245   -0.149
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth    1.860    0.116   16.049    0.000    1.860    0.688
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 32 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        23
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_val_overall ~                                                      
##     female             -0.034    0.098   -0.351    0.725   -0.034   -0.013
##     urm                -0.002    0.175   -0.010    0.992   -0.002   -0.000
##     Best_MPS            0.032    0.012    2.805    0.005    0.032    0.131
##     eoc_val_avg         0.291    0.058    5.041    0.000    0.291    0.333
##     pre_val_overll      0.382    0.097    3.944    0.000    0.382    0.322
##     sgnls_rspnd___      0.092    0.094    0.975    0.329    0.092    0.288
##     pre_val_signls     -0.008    0.016   -0.510    0.610   -0.008   -0.157
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    0.883    0.521    1.695    0.090    0.883    0.720
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.019    0.078   12.995    0.000    1.019    0.677
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 34 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        23
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_exp_overall ~                                                      
##     female             -0.200    0.093   -2.161    0.031   -0.200   -0.082
##     urm                 0.332    0.170    1.953    0.051    0.332    0.080
##     Best_MPS            0.037    0.012    3.154    0.002    0.037    0.158
##     eoc_comp_avg        0.027    0.071    0.380    0.704    0.027    0.030
##     pre_exp_overll      0.550    0.092    5.947    0.000    0.550    0.470
##     sgnls_rspnd___      0.087    0.097    0.897    0.370    0.087    0.287
##     pre_exp_signls     -0.011    0.017   -0.652    0.514   -0.011   -0.215
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.287    0.544    2.367    0.018    1.287    1.109
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.007    0.063   16.053    0.000    1.007    0.749
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 33 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        23
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_te_overall ~                                                      
##     female                  0.061    0.102    0.595    0.552    0.061    0.021
##     urm                    -0.223    0.186   -1.198    0.231   -0.223   -0.045
##     Best_MPS               -0.027    0.013   -2.109    0.035   -0.027   -0.097
##     eoc_cost_te_vg          0.477    0.058    8.202    0.000    0.477    0.482
##     pre_cst_t_vrll          0.180    0.083    2.182    0.029    0.180    0.158
##     sgnls_rspnd___         -0.086    0.050   -1.696    0.090   -0.086   -0.235
##     pr_cst_t_sgnls          0.016    0.014    1.087    0.277    0.016    0.159
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    2.038    0.417    4.889    0.000    2.038    1.458
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.095    0.085   12.920    0.000    1.095    0.561
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 34 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        23
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_oe_overall ~                                                      
##     female                 -0.010    0.099   -0.106    0.916   -0.010   -0.004
##     urm                    -0.487    0.181   -2.682    0.007   -0.487   -0.103
##     Best_MPS               -0.035    0.012   -2.978    0.003   -0.035   -0.133
##     eoc_cost_oe_vg          0.505    0.061    8.309    0.000    0.505    0.498
##     pre_cost__vrll          0.074    0.101    0.740    0.459    0.074    0.063
##     sgnls_rspnd___         -0.121    0.046   -2.628    0.009   -0.121   -0.352
##     pre_cst__sgnls          0.028    0.016    1.763    0.078    0.028    0.258
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    2.487    0.373    6.674    0.000    2.487    1.891
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    0.997    0.079   12.566    0.000    0.997    0.576
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 33 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        23
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_lv_overall ~                                                      
##     female                 -0.020    0.101   -0.202    0.840   -0.020   -0.007
##     urm                    -0.372    0.184   -2.024    0.043   -0.372   -0.078
##     Best_MPS               -0.029    0.012   -2.371    0.018   -0.029   -0.108
##     eoc_cost_lv_vg          0.457    0.055    8.287    0.000    0.457    0.463
##     pr_cst_lv_vrll          0.235    0.084    2.789    0.005    0.235    0.205
##     sgnls_rspnd___         -0.056    0.051   -1.094    0.274   -0.056   -0.159
##     pr_cst_lv_sgnl          0.005    0.015    0.311    0.755    0.005    0.047
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    2.023    0.404    5.007    0.000    2.023    1.507
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.070    0.081   13.138    0.000    1.070    0.594
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 33 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        23
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_em_overall ~                                                      
##     female                  0.076    0.108    0.707    0.480    0.076    0.024
##     urm                    -0.378    0.194   -1.944    0.052   -0.378   -0.068
##     Best_MPS               -0.018    0.014   -1.289    0.197   -0.018   -0.059
##     eoc_cost_em_vg          0.547    0.051   10.635    0.000    0.547    0.559
##     pre_cst_m_vrll          0.294    0.085    3.444    0.001    0.294    0.246
##     sgnls_rspnd___         -0.003    0.054   -0.056    0.955   -0.003   -0.008
##     pr_cst_m_sgnls         -0.011    0.014   -0.791    0.429   -0.011   -0.114
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.512    0.453    3.336    0.001    1.512    0.980
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.112    0.092   12.127    0.000    1.112    0.467
##   cfi   tli rmsea  srmr 
##     1     1     0     0

Sep 29 Analysis Final Models

Path Analysis with eoc_3 (1 = invited and responded; 0 = not invited OR did not participate) Filtering out 2’s + average eoc

## lavaan 0.6-7 ended normally after 26 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_int_overall ~                                                      
##     female             -0.139    0.098   -1.422    0.155   -0.139   -0.043
##     urm                -0.121    0.181   -0.669    0.503   -0.121   -0.022
##     Best_MPS            0.029    0.012    2.360    0.018    0.029    0.093
##     pre_int_overll      0.686    0.046   14.855    0.000    0.686    0.609
##     eoc_int_avg         0.186    0.058    3.197    0.001    0.186    0.186
##     participat_c_3     -0.038    0.094   -0.407    0.684   -0.038   -0.012
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll   -0.013    0.283   -0.046    0.963   -0.013   -0.009
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    1.040    0.072   14.474    0.000    1.040    0.442
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 32 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        12
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                         Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_confident_math ~                                                      
##     female                -0.480    0.125   -3.830    0.000   -0.480   -0.139
##     urm                   -0.117    0.233   -0.505    0.613   -0.117   -0.020
##     Best_MPS               0.092    0.015    6.024    0.000    0.092    0.275
##     pre_confident          0.786    0.070   11.281    0.000    0.786    0.437
##     eoc_comp_avg           0.018    0.093    0.191    0.848    0.018    0.014
##     participat_c_3         0.234    0.122    1.920    0.055    0.234    0.069
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth   -0.621    0.534   -1.162    0.245   -0.621   -0.378
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth    1.765    0.114   15.470    0.000    1.765    0.655
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 27 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_exp_overall ~                                                      
##     female             -0.172    0.095   -1.806    0.071   -0.172   -0.070
##     urm                 0.232    0.180    1.293    0.196    0.232    0.055
##     Best_MPS            0.040    0.013    3.194    0.001    0.040    0.169
##     pre_exp_overll      0.512    0.050   10.166    0.000    0.512    0.435
##     eoc_comp_avg        0.032    0.072    0.439    0.660    0.032    0.035
##     participat_c_3      0.063    0.093    0.675    0.500    0.063    0.026
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.481    0.405    3.657    0.000    1.481    1.266
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.031    0.066   15.644    0.000    1.031    0.753
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 28 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_val_overall ~                                                      
##     female              0.010    0.101    0.095    0.925    0.010    0.004
##     urm                -0.074    0.186   -0.398    0.690   -0.074   -0.016
##     Best_MPS            0.036    0.012    3.002    0.003    0.036    0.145
##     pre_val_overll      0.357    0.058    6.207    0.000    0.357    0.297
##     eoc_val_avg         0.298    0.059    5.054    0.000    0.298    0.336
##     participat_c_3      0.184    0.097    1.901    0.057    0.184    0.072
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    0.991    0.379    2.614    0.009    0.991    0.797
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.061    0.082   12.966    0.000    1.061    0.687
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_te_overall ~                                                      
##     female                  0.068    0.104    0.658    0.510    0.068    0.023
##     urm                    -0.139    0.194   -0.717    0.474   -0.139   -0.027
##     Best_MPS               -0.031    0.014   -2.264    0.024   -0.031   -0.108
##     pre_cst_t_vrll          0.261    0.057    4.618    0.000    0.261    0.228
##     eoc_cost_te_vg          0.472    0.059    8.047    0.000    0.472    0.478
##     participat_c_3         -0.226    0.100   -2.249    0.024   -0.226   -0.078
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.805    0.345    5.234    0.000    1.805    1.286
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.097    0.085   12.871    0.000    1.097    0.557
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 31 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_oe_overall ~                                                      
##     female                 -0.001    0.101   -0.014    0.989   -0.001   -0.000
##     urm                    -0.520    0.190   -2.731    0.006   -0.520   -0.109
##     Best_MPS               -0.033    0.013   -2.594    0.009   -0.033   -0.123
##     pre_cost__vrll          0.231    0.058    3.967    0.000    0.231    0.198
##     eoc_cost_oe_vg          0.497    0.062    8.079    0.000    0.497    0.486
##     participat_c_3         -0.057    0.097   -0.591    0.555   -0.057   -0.021
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.860    0.309    6.015    0.000    1.860    1.417
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    1.026    0.081   12.699    0.000    1.026    0.595
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 31 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_lv_overall ~                                                      
##     female                 -0.021    0.103   -0.199    0.842   -0.021   -0.007
##     urm                    -0.350    0.194   -1.807    0.071   -0.350   -0.072
##     Best_MPS               -0.029    0.013   -2.205    0.027   -0.029   -0.106
##     pr_cst_lv_vrll          0.249    0.053    4.708    0.000    0.249    0.220
##     eoc_cost_lv_vg          0.455    0.056    8.124    0.000    0.455    0.465
##     participat_c_3         -0.183    0.100   -1.833    0.067   -0.183   -0.066
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.864    0.329    5.669    0.000    1.864    1.390
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.089    0.083   13.056    0.000    1.089    0.606
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 31 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          8
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        17
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_em_overall ~                                                      
##     female                  0.077    0.111    0.693    0.488    0.077    0.024
##     urm                    -0.300    0.204   -1.469    0.142   -0.300   -0.053
##     Best_MPS               -0.021    0.015   -1.419    0.156   -0.021   -0.067
##     pre_cst_m_vrll          0.230    0.053    4.336    0.000    0.230    0.193
##     eoc_cost_em_vg          0.556    0.052   10.628    0.000    0.556    0.568
##     participat_c_3         -0.294    0.106   -2.789    0.005   -0.294   -0.093
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.730    0.392    4.412    0.000    1.730    1.122
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.140    0.095   12.011    0.000    1.140    0.479
##   cfi   tli rmsea  srmr 
##     1     1     0     0

With signals responded as tertiles

## lavaan 0.6-7 ended normally after 33 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        20
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_int_overall ~                                                      
##     female             -0.142    0.099   -1.440    0.150   -0.142   -0.044
##     urm                -0.056    0.172   -0.328    0.743   -0.056   -0.010
##     Best_MPS            0.031    0.012    2.669    0.008    0.031    0.101
##     pre_int_overll      0.691    0.047   14.777    0.000    0.691    0.616
##     eoc_int_avg         0.177    0.058    3.044    0.002    0.177    0.178
##     second_tertile     -0.134    0.196   -0.686    0.493   -0.134   -0.041
##     third_tertile      -0.010    0.188   -0.055    0.956   -0.010   -0.003
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    0.019    0.276    0.068    0.946    0.019    0.012
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_int_ovrll    1.025    0.069   14.925    0.000    1.025    0.443
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 40 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        16
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                         Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_confident_math ~                                                      
##     female                -0.494    0.133   -3.717    0.000   -0.494   -0.143
##     urm                    0.075    0.230    0.328    0.743    0.075    0.013
##     Best_MPS               0.088    0.015    5.899    0.000    0.088    0.267
##     pre_confident          0.761    0.071   10.678    0.000    0.761    0.422
##     eoc_comp_avg           0.031    0.098    0.315    0.753    0.031    0.024
##     second_tertile         0.060    0.290    0.206    0.837    0.060    0.017
##     third_tertile          0.231    0.273    0.845    0.398    0.231    0.066
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth   -0.492    0.543   -0.906    0.365   -0.492   -0.299
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cnfdnt_mth    1.856    0.117   15.928    0.000    1.856    0.684
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 34 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        20
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_exp_overall ~                                                      
##     female             -0.250    0.096   -2.602    0.009   -0.250   -0.103
##     urm                 0.363    0.170    2.128    0.033    0.363    0.087
##     Best_MPS            0.037    0.012    3.135    0.002    0.037    0.159
##     pre_exp_overll      0.489    0.050    9.797    0.000    0.489    0.418
##     eoc_comp_avg        0.046    0.070    0.661    0.508    0.046    0.051
##     second_tertile      0.157    0.204    0.772    0.440    0.157    0.063
##     third_tertile       0.454    0.188    2.418    0.016    0.454    0.184
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    1.456    0.380    3.834    0.000    1.456    1.256
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_exp_ovrll    0.984    0.065   15.216    0.000    0.984    0.733
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 35 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        20
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_val_overall ~                                                      
##     female             -0.076    0.101   -0.748    0.455   -0.076   -0.029
##     urm                -0.002    0.176   -0.009    0.993   -0.002   -0.000
##     Best_MPS            0.033    0.011    2.847    0.004    0.033    0.132
##     pre_val_overll      0.326    0.055    5.969    0.000    0.326    0.276
##     eoc_val_avg         0.301    0.056    5.359    0.000    0.301    0.344
##     second_tertile      0.449    0.197    2.286    0.022    0.449    0.170
##     third_tertile       0.525    0.185    2.838    0.005    0.525    0.200
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    1.032    0.356    2.900    0.004    1.032    0.841
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_val_ovrll    0.999    0.079   12.693    0.000    0.999    0.664
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 37 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        20
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_te_overall ~                                                      
##     female                  0.097    0.106    0.915    0.360    0.097    0.033
##     urm                    -0.247    0.188   -1.318    0.187   -0.247   -0.049
##     Best_MPS               -0.028    0.013   -2.173    0.030   -0.028   -0.101
##     pre_cst_t_vrll          0.241    0.055    4.361    0.000    0.241    0.210
##     eoc_cost_te_vg          0.480    0.058    8.299    0.000    0.480    0.486
##     second_tertile          0.042    0.186    0.227    0.820    0.042    0.014
##     third_tertile          -0.318    0.178   -1.788    0.074   -0.318   -0.106
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.790    0.344    5.208    0.000    1.790    1.275
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_t_vrll    1.091    0.085   12.850    0.000    1.091    0.554
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 37 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        20
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_oe_overall ~                                                      
##     female                  0.063    0.102    0.617    0.537    0.063    0.023
##     urm                    -0.509    0.183   -2.789    0.005   -0.509   -0.108
##     Best_MPS               -0.035    0.012   -2.977    0.003   -0.035   -0.133
##     pre_cost__vrll          0.238    0.057    4.152    0.000    0.238    0.200
##     eoc_cost_oe_vg          0.492    0.061    8.046    0.000    0.492    0.476
##     second_tertile         -0.208    0.177   -1.179    0.238   -0.208   -0.073
##     third_tertile          -0.535    0.169   -3.173    0.002   -0.535   -0.190
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    2.114    0.304    6.956    0.000    2.114    1.600
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .post_cst__vrll    0.995    0.079   12.547    0.000    0.995    0.570
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 37 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        20
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_lv_overall ~                                                      
##     female                  0.011    0.104    0.103    0.918    0.011    0.004
##     urm                    -0.381    0.185   -2.054    0.040   -0.381   -0.079
##     Best_MPS               -0.029    0.012   -2.321    0.020   -0.029   -0.107
##     pr_cst_lv_vrll          0.250    0.052    4.817    0.000    0.250    0.218
##     eoc_cost_lv_vg          0.453    0.055    8.195    0.000    0.453    0.461
##     second_tertile         -0.088    0.179   -0.493    0.622   -0.088   -0.031
##     third_tertile          -0.377    0.172   -2.196    0.028   -0.377   -0.131
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.940    0.329    5.895    0.000    1.940    1.443
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_lv_vrl    1.070    0.081   13.159    0.000    1.070    0.592
##   cfi   tli rmsea  srmr 
##     1     1     0     0
## lavaan 0.6-7 ended normally after 38 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                          9
##                                                       
##   Number of observations                           782
##   Number of missing patterns                        20
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                 0.000
##   Degrees of freedom                                 0
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Regressions:
##                          Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_cost_em_overall ~                                                      
##     female                  0.113    0.112    1.007    0.314    0.113    0.035
##     urm                    -0.356    0.196   -1.814    0.070   -0.356   -0.065
##     Best_MPS               -0.017    0.014   -1.177    0.239   -0.017   -0.054
##     pre_cst_m_vrll          0.228    0.051    4.419    0.000    0.228    0.191
##     eoc_cost_em_vg          0.554    0.051   10.811    0.000    0.554    0.567
##     second_tertile         -0.446    0.187   -2.380    0.017   -0.446   -0.135
##     third_tertile          -0.435    0.181   -2.405    0.016   -0.435   -0.132
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.794    0.389    4.611    0.000    1.794    1.166
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pst_cst_m_vrll    1.105    0.092   12.069    0.000    1.105    0.467
##   cfi   tli rmsea  srmr 
##     1     1     0     0

Demographics we need

## 
##   0   1 
## 425 357
## 
##   0   1 
## 509 273
## 
##   0   1   2 
## 425 273  84
prop_female
0.342
## 
##                      Asian (non-Hispanic) 
##                                        56 
## Black or African American  (non-Hispanic) 
##                                        27 
##                        Hispanic Ethnicity 
##                                        30 
##                             International 
##                                       110 
##                              Not Reported 
##                                         7 
##          Two or more races (non-Hispanic) 
##                                        18 
##                      White (non-Hispanic) 
##                                       450
## `summarise()` ungrouping output (override with `.groups` argument)
participate_eoc_3 prop_female
0 0.348
1 0.333
##    
##     Asian (non-Hispanic) Black or African American  (non-Hispanic)
##   0                   37                                        12
##   1                   19                                        15
##    
##     Hispanic Ethnicity International Not Reported
##   0                 17            62            6
##   1                 13            48            1
##    
##     Two or more races (non-Hispanic) White (non-Hispanic)
##   0                               14                  277
##   1                                4                  173
## Warning in cor(x, use = use, method = method): the standard deviation is zero
pre_int_overall pre_val_overall pre_confident pre_cost_te_overall pre_cost_oe_overall pre_cost_lv_overall pre_cost_em_overall eoc_int_avg eoc_val_avg eoc_comp_avg eoc_cost_te_avg eoc_cost_oe_avg eoc_cost_lv_avg eoc_cost_em_avg post_int_overall post_val_overall post_confident_math post_cost_te_overall post_cost_oe_overall post_cost_lv_overall post_cost_em_overall female urm Best_MPS participate_eoc_3
pre_int_overall
pre_val_overall 0.65***
pre_confident 0.45*** 0.25***
pre_cost_te_overall -0.25*** -0.22*** -0.39***
pre_cost_oe_overall -0.22*** -0.28*** -0.32*** 0.70***
pre_cost_lv_overall -0.22*** -0.21*** -0.33*** 0.78*** 0.72***
pre_cost_em_overall -0.31*** -0.19*** -0.51*** 0.79*** 0.60*** 0.75***
eoc_int_avg 0.45*** 0.28*** 0.24*** -0.10 -0.11 -0.09 -0.23***
eoc_val_avg 0.23*** 0.30*** 0.03 -0.08 -0.12 -0.11 -0.13* 0.64***
eoc_comp_avg 0.31*** 0.22*** 0.12 -0.09 -0.14* -0.10 -0.10 0.69*** 0.59***
eoc_cost_te_avg -0.33*** -0.31*** -0.31*** 0.56*** 0.49*** 0.45*** 0.51*** -0.23*** -0.09 -0.19**
eoc_cost_oe_avg -0.27*** -0.31*** -0.27*** 0.46*** 0.53*** 0.48*** 0.49*** -0.21*** -0.15* -0.15* 0.76***
eoc_cost_lv_avg -0.31*** -0.35*** -0.32*** 0.48*** 0.47*** 0.47*** 0.48*** -0.18** -0.07 -0.19** 0.80*** 0.80***
eoc_cost_em_avg -0.41*** -0.28*** -0.35*** 0.43*** 0.35*** 0.37*** 0.54*** -0.35*** -0.14* -0.24*** 0.74*** 0.64*** 0.66***
post_int_overall 0.71*** 0.42*** 0.36*** -0.20*** -0.13** -0.17*** -0.29*** 0.46*** 0.29*** 0.28*** -0.30*** -0.34*** -0.29*** -0.44***
post_val_overall 0.44*** 0.41*** 0.20*** -0.17*** -0.14** -0.14** -0.17*** 0.28*** 0.37*** 0.30*** -0.18** -0.21** -0.15* -0.25*** 0.67***
post_confident_math 0.42*** 0.24*** 0.48*** -0.25*** -0.24*** -0.23*** -0.39*** 0.22** 0.05 0.11 -0.40*** -0.33*** -0.36*** -0.48*** 0.53*** 0.38***
post_cost_te_overall -0.26*** -0.22*** -0.31*** 0.50*** 0.40*** 0.42*** 0.48*** -0.17* -0.03 -0.11 0.63*** 0.54*** 0.62*** 0.61*** -0.33*** -0.32*** -0.47***
post_cost_oe_overall -0.14** -0.20*** -0.18*** 0.40*** 0.45*** 0.40*** 0.37*** -0.10 -0.03 -0.11 0.55*** 0.60*** 0.56*** 0.49*** -0.21*** -0.29*** -0.31*** 0.76***
post_cost_lv_overall -0.21*** -0.21*** -0.25*** 0.44*** 0.39*** 0.43*** 0.44*** -0.15* -0.05 -0.16* 0.57*** 0.52*** 0.59*** 0.57*** -0.28*** -0.32*** -0.39*** 0.87*** 0.77***
post_cost_em_overall -0.30*** -0.20*** -0.34*** 0.39*** 0.31*** 0.35*** 0.51*** -0.18* 0.03 -0.09 0.57*** 0.49*** 0.57*** 0.69*** -0.41*** -0.33*** -0.60*** 0.83*** 0.63*** 0.75***
female -0.02 0.04 -0.14*** 0.02 0.00 -0.02 0.13*** -0.13* -0.12* -0.09 0.06 0.05 0.05 0.13* -0.08 -0.02 -0.19*** 0.05 0.02 0.00 0.12**
urm -0.02 0.00 0.00 -0.03 -0.07 0.02 0.00 -0.01 -0.02 0.05 0.08 0.10 0.02 0.16* -0.03 -0.04 -0.05 -0.02 -0.07 -0.05 -0.04 0.05
Best_MPS 0.24*** 0.10* 0.15** -0.06 -0.01 -0.03 -0.17*** 0.17* 0.07 0.16* -0.23** -0.14 -0.18* -0.32*** 0.25*** 0.18*** 0.32*** -0.20*** -0.14* -0.15** -0.24*** 0.01 -0.18***
participate_eoc_3 0.09* 0.12** 0.03 -0.01 -0.09* 0.01 -0.01 NANA NANA NANA NANA NANA NANA NANA 0.05 0.10* 0.06 -0.08 -0.05 -0.07 -0.11* -0.02 0.06 -0.05
## Warning in cor(x, use = use, method = method): the standard deviation is zero
pre_int_overall pre_val_overall pre_exp_overall pre_cost_te_overall pre_cost_oe_overall pre_cost_lv_overall pre_cost_em_overall eoc_int_avg eoc_val_avg eoc_comp_avg eoc_cost_te_avg eoc_cost_oe_avg eoc_cost_lv_avg eoc_cost_em_avg post_int_overall post_val_overall post_exp_overall post_cost_te_overall post_cost_oe_overall post_cost_lv_overall post_cost_em_overall female urm Best_MPS participate_eoc_3
pre_int_overall
pre_val_overall 0.65***
pre_exp_overall 0.53*** 0.61***
pre_cost_te_overall -0.25*** -0.22*** -0.41***
pre_cost_oe_overall -0.22*** -0.28*** -0.42*** 0.70***
pre_cost_lv_overall -0.22*** -0.21*** -0.36*** 0.78*** 0.72***
pre_cost_em_overall -0.31*** -0.19*** -0.42*** 0.79*** 0.60*** 0.75***
eoc_int_avg 0.45*** 0.28*** 0.17** -0.10 -0.11 -0.09 -0.23***
eoc_val_avg 0.23*** 0.30*** 0.14* -0.08 -0.12 -0.11 -0.13* 0.64***
eoc_comp_avg 0.31*** 0.22*** 0.18** -0.09 -0.14* -0.10 -0.10 0.69*** 0.59***
eoc_cost_te_avg -0.33*** -0.31*** -0.37*** 0.56*** 0.49*** 0.45*** 0.51*** -0.23*** -0.09 -0.19**
eoc_cost_oe_avg -0.27*** -0.31*** -0.36*** 0.46*** 0.53*** 0.48*** 0.49*** -0.21*** -0.15* -0.15* 0.76***
eoc_cost_lv_avg -0.31*** -0.35*** -0.39*** 0.48*** 0.47*** 0.47*** 0.48*** -0.18** -0.07 -0.19** 0.80*** 0.80***
eoc_cost_em_avg -0.41*** -0.28*** -0.36*** 0.43*** 0.35*** 0.37*** 0.54*** -0.35*** -0.14* -0.24*** 0.74*** 0.64*** 0.66***
post_int_overall 0.71*** 0.42*** 0.29*** -0.20*** -0.13** -0.17*** -0.29*** 0.46*** 0.29*** 0.28*** -0.30*** -0.34*** -0.29*** -0.44***
post_val_overall 0.44*** 0.41*** 0.27*** -0.17*** -0.14** -0.14** -0.17*** 0.28*** 0.37*** 0.30*** -0.18** -0.21** -0.15* -0.25*** 0.67***
post_exp_overall 0.34*** 0.31*** 0.45*** -0.25*** -0.28*** -0.24*** -0.28*** 0.14* 0.06 0.13 -0.33*** -0.37*** -0.32*** -0.40*** 0.54*** 0.63***
post_cost_te_overall -0.26*** -0.22*** -0.33*** 0.50*** 0.40*** 0.42*** 0.48*** -0.17* -0.03 -0.11 0.63*** 0.54*** 0.62*** 0.61*** -0.33*** -0.32*** -0.46***
post_cost_oe_overall -0.14** -0.20*** -0.28*** 0.40*** 0.45*** 0.40*** 0.37*** -0.10 -0.03 -0.11 0.55*** 0.60*** 0.56*** 0.49*** -0.21*** -0.29*** -0.43*** 0.76***
post_cost_lv_overall -0.21*** -0.21*** -0.30*** 0.44*** 0.39*** 0.43*** 0.44*** -0.15* -0.05 -0.16* 0.57*** 0.52*** 0.59*** 0.57*** -0.28*** -0.32*** -0.44*** 0.87*** 0.77***
post_cost_em_overall -0.30*** -0.20*** -0.34*** 0.39*** 0.31*** 0.35*** 0.51*** -0.18* 0.03 -0.09 0.57*** 0.49*** 0.57*** 0.69*** -0.41*** -0.33*** -0.49*** 0.83*** 0.63*** 0.75***
female -0.02 0.04 -0.05 0.02 0.00 -0.02 0.13*** -0.13* -0.12* -0.09 0.06 0.05 0.05 0.13* -0.08 -0.02 -0.09* 0.05 0.02 0.00 0.12**
urm -0.02 0.00 0.07 -0.03 -0.07 0.02 0.00 -0.01 -0.02 0.05 0.08 0.10 0.02 0.16* -0.03 -0.04 0.06 -0.02 -0.07 -0.05 -0.04 0.05
Best_MPS 0.24*** 0.10* 0.04 -0.06 -0.01 -0.03 -0.17*** 0.17* 0.07 0.16* -0.23** -0.14 -0.18* -0.32*** 0.25*** 0.18*** 0.18** -0.20*** -0.14* -0.15** -0.24*** 0.01 -0.18***
participate_eoc_3 0.09* 0.12** 0.13*** -0.01 -0.09* 0.01 -0.01 NANA NANA NANA NANA NANA NANA NANA 0.05 0.10* 0.08 -0.08 -0.05 -0.07 -0.11* -0.02 0.06 -0.05
##    vars   n mean   sd median trimmed  mad min max range  skew kurtosis   se
## X1    1 686 4.94 1.36    5.2    5.04 1.19   1   7     6 -0.65    -0.09 0.05
##    vars   n mean   sd median trimmed  mad min max range  skew kurtosis   se
## X1    1 686 5.66 1.03      6    5.77 0.99   1   7     6 -1.16     1.99 0.04
##    vars   n mean   sd median trimmed  mad min max range  skew kurtosis   se
## X1    1 698 4.95 0.91      5    4.95 1.48   1   6     5 -0.79     0.84 0.03
##    vars   n mean   sd median trimmed  mad min max range  skew kurtosis   se
## X1    1 685 5.64 0.99      6    5.73 0.99   1   7     6 -0.99     1.56 0.04
##    vars   n mean   sd median trimmed  mad min max range skew kurtosis   se
## X1    1 686 3.32 1.22    3.2    3.29 1.48   1   7     6 0.19    -0.54 0.05
##    vars   n mean   sd median trimmed  mad min max range skew kurtosis   se
## X1    1 686 2.81 1.13   2.62    2.74 0.93   1   7     6 0.66     0.21 0.04
##    vars   n mean   sd median trimmed  mad min max range skew kurtosis   se
## X1    1 686 3.16 1.18      3    3.11 1.48   1   7     6 0.37    -0.26 0.05
##    vars   n mean  sd median trimmed  mad min max range  skew kurtosis   se
## X1    1 686 3.67 1.3   3.67    3.66 1.48   1   7     6 -0.01     -0.6 0.05
##    vars   n mean   sd median trimmed  mad min max range skew kurtosis   se
## X1    1 264 3.89 1.52      4    3.89 1.48   1   7     6    0     -0.8 0.09
##    vars   n mean   sd median trimmed  mad min max range  skew kurtosis   se
## X1    1 264 4.79 1.37      5    4.86 1.48   1   7     6 -0.47    -0.24 0.08
##    vars   n mean   sd median trimmed mad min max range  skew kurtosis   se
## X1    1 264 4.65 1.28   4.95    4.69 1.3   1   7     6 -0.39     0.03 0.08
##    vars   n mean   sd median trimmed  mad min  max range skew kurtosis   se
## X1    1 262 3.04 1.44      3    2.98 1.48   1 6.71  5.71 0.31    -0.93 0.09
##    vars   n mean  sd median trimmed  mad min max range skew kurtosis   se
## X1    1 262  2.7 1.3   2.33    2.59 1.25   1   7     6 0.73     -0.1 0.08
##    vars   n mean   sd median trimmed  mad min max range skew kurtosis   se
## X1    1 262 2.74 1.39   2.33    2.62 1.61   1   7     6 0.62    -0.53 0.09
##    vars   n mean   sd median trimmed  mad min max range skew kurtosis  se
## X1    1 262 3.13 1.59      3    3.03 1.68   1   7     6 0.41    -0.85 0.1
##    vars   n mean   sd median trimmed  mad min max range  skew kurtosis   se
## X1    1 516 4.66 1.52    4.9    4.75 1.33   1   7     6 -0.51    -0.46 0.07
##    vars   n mean   sd median trimmed  mad min max range  skew kurtosis   se
## X1    1 516 5.28 1.23   5.33    5.39 0.99   1   7     6 -0.94     0.98 0.05
##    vars   n mean   sd median trimmed  mad min max range  skew kurtosis   se
## X1    1 518 5.14 1.62      5    5.14 1.48   1   7     6 -0.79    -0.17 0.07
##    vars   n mean   sd median trimmed  mad min max range  skew kurtosis   se
## X1    1 515 5.33 1.16    5.5    5.41 1.24   1   7     6 -0.68     0.34 0.05
##    vars   n mean  sd median trimmed  mad min max range skew kurtosis   se
## X1    1 515 3.39 1.4    3.4    3.36 1.78   1   7     6 0.17    -0.58 0.06
##    vars   n mean  sd median trimmed  mad min max range skew kurtosis   se
## X1    1 516  3.1 1.3      3    3.07 1.48   1   7     6 0.29    -0.54 0.06
##    vars   n mean   sd median trimmed  mad min max range skew kurtosis   se
## X1    1 516 3.19 1.33   3.25    3.17 1.48   1   7     6 0.18     -0.5 0.06
##    vars   n mean   sd median trimmed  mad min max range skew kurtosis   se
## X1    1 515 3.74 1.53   3.83    3.73 1.73   1   7     6 0.08    -0.75 0.07
##    vars   n mean   sd median trimmed mad min max range skew kurtosis   se
## X1    1 698 0.34 0.47      0     0.3   0   0   1     1 0.66    -1.56 0.02
##    vars   n mean   sd median trimmed mad min max range skew kurtosis   se
## X1    1 691 0.08 0.28      0       0   0   0   1     1 3.03     7.18 0.01
##    vars   n  mean   sd median trimmed  mad min max range  skew kurtosis   se
## X1    1 449 19.92 4.96     21    20.4 2.97   3  28    25 -0.93      0.6 0.23
##    vars   n mean   sd median trimmed mad min max range skew kurtosis   se
## X1    1 698 0.39 0.49      0    0.36   0   0   1     1 0.45     -1.8 0.02
## `summarise()` ungrouping output (override with `.groups` argument)
participate_eoc_3 prop_female prop_urm prop_participate mean_pre_interest mean_pre_confidence mean_pre_val mean_pre_cost_te mean_pre_cost_oe mean_pre_cost_lv mean_pre_cost_em mean_post_interest mean_post_confidence mean_post_val mean_post_cost_te mean_post_cost_oe mean_post_cost_lv mean_post_cost_em mean_MPS
0 0.348 0.068 0 4.840 4.922 5.563 3.328 2.892 3.152 3.671 4.592 5.059 5.179 3.484 3.158 3.268 3.875 20.136
1 0.333 0.103 1 5.097 4.985 5.820 3.308 2.693 3.170 3.655 4.752 5.268 5.423 3.254 3.026 3.081 3.548 19.639
prop_female prop_urm prop_participate mean_pre_interest mean_pre_confidence mean_pre_val mean_pre_cost_te mean_pre_cost_oe mean_pre_cost_lv mean_pre_cost_em mean_post_interest mean_post_confidence mean_post_val mean_post_cost_te mean_post_cost_oe mean_post_cost_lv mean_post_cost_em mean_MPS
0.342 0.082 0.391 4.94 4.947 5.662 3.32 2.815 3.159 3.665 4.657 5.145 5.278 3.39 3.104 3.192 3.741 19.924
## Warning in cor(x, use = use, method = method): the standard deviation is zero
participate_eoc_3 pre_int_overall pre_confident pre_val_overall pre_cost_te_overall pre_cost_oe_overall pre_cost_lv_overall pre_cost_em_overall eoc_int_avg eoc_comp_avg eoc_val_avg eoc_cost_te_avg eoc_cost_oe_avg eoc_cost_lv_avg eoc_cost_em_avg pre_int_eoc_3 pre_val_eoc_3 pre_con_eoc_3 pre_cost_te_eoc_3 pre_cost_oe_eoc_3 pre_cost_lv_eoc_3 pre_cost_em_eoc_3
participate_eoc_3
pre_int_overall 0.09*
pre_confident 0.03 0.45***
pre_val_overall 0.12** 0.65*** 0.25***
pre_cost_te_overall -0.01 -0.25*** -0.39*** -0.22***
pre_cost_oe_overall -0.09* -0.22*** -0.32*** -0.28*** 0.70***
pre_cost_lv_overall 0.01 -0.22*** -0.33*** -0.21*** 0.78*** 0.72***
pre_cost_em_overall -0.01 -0.31*** -0.51*** -0.19*** 0.79*** 0.60*** 0.75***
eoc_int_avg NANA 0.45*** 0.24*** 0.28*** -0.10 -0.11 -0.09 -0.23***
eoc_comp_avg NANA 0.31*** 0.12 0.22*** -0.09 -0.14* -0.10 -0.10 0.69***
eoc_val_avg NANA 0.23*** 0.03 0.30*** -0.08 -0.12 -0.11 -0.13* 0.64*** 0.59***
eoc_cost_te_avg NANA -0.33*** -0.31*** -0.31*** 0.56*** 0.49*** 0.45*** 0.51*** -0.23*** -0.19** -0.09
eoc_cost_oe_avg NANA -0.27*** -0.27*** -0.31*** 0.46*** 0.53*** 0.48*** 0.49*** -0.21*** -0.15* -0.15* 0.76***
eoc_cost_lv_avg NANA -0.31*** -0.32*** -0.35*** 0.48*** 0.47*** 0.47*** 0.48*** -0.18** -0.19** -0.07 0.80*** 0.80***
eoc_cost_em_avg NANA -0.41*** -0.35*** -0.28*** 0.43*** 0.35*** 0.37*** 0.54*** -0.35*** -0.24*** -0.14* 0.74*** 0.64*** 0.66***
pre_int_eoc_3 0.95*** 0.26*** 0.12** 0.24*** -0.05 -0.12** -0.03 -0.06 0.45*** 0.31*** 0.23*** -0.33*** -0.27*** -0.31*** -0.41***
pre_val_eoc_3 0.98*** 0.17*** 0.07 0.24*** -0.04 -0.12** -0.03 -0.03 0.28*** 0.22*** 0.30*** -0.31*** -0.31*** -0.35*** -0.28*** 0.97***
pre_con_eoc_3 0.98*** 0.15*** 0.17*** 0.15*** -0.05 -0.12** -0.03 -0.07 0.24*** 0.12 0.03 -0.31*** -0.27*** -0.32*** -0.35*** 0.96*** 0.96***
pre_cost_te_eoc_3 0.90*** 0.02 -0.05 0.05 0.27*** 0.11** 0.22*** 0.20*** -0.10 -0.09 -0.08 0.56*** 0.46*** 0.48*** 0.43*** 0.83*** 0.86*** 0.85***
pre_cost_oe_eoc_3 0.88*** 0.03 -0.04 0.03 0.20*** 0.21*** 0.21*** 0.16*** -0.11 -0.14* -0.12 0.49*** 0.53*** 0.47*** 0.35*** 0.82*** 0.84*** 0.83*** 0.94***
pre_cost_lv_eoc_3 0.90*** 0.04 -0.04 0.05 0.21*** 0.11** 0.28*** 0.20*** -0.09 -0.10 -0.11 0.45*** 0.48*** 0.47*** 0.37*** 0.84*** 0.86*** 0.85*** 0.96*** 0.94***
pre_cost_em_eoc_3 0.91*** 0.01 -0.07 0.06 0.19*** 0.07 0.21*** 0.25*** -0.23*** -0.10 -0.13* 0.51*** 0.49*** 0.48*** 0.54*** 0.83*** 0.87*** 0.85*** 0.96*** 0.92*** 0.96***

Alphas

## 
## Attaching package: 'psy'
## The following object is masked from 'package:psych':
## 
##     wkappa
## $sample.size
## [1] 671
## 
## $number.of.items
## [1] 5
## 
## $alpha
## [1] 0.9484241
## $sample.size
## [1] 508
## 
## $number.of.items
## [1] 5
## 
## $alpha
## [1] 0.9558871
## $sample.size
## [1] 676
## 
## $number.of.items
## [1] 3
## 
## $alpha
## [1] 0.8401684
## $sample.size
## [1] 507
## 
## $number.of.items
## [1] 3
## 
## $alpha
## [1] 0.8519153
## $sample.size
## [1] 674
## 
## $number.of.items
## [1] 3
## 
## $alpha
## [1] 0.839374
## $sample.size
## [1] 508
## 
## $number.of.items
## [1] 3
## 
## $alpha
## [1] 0.8155961
## $sample.size
## [1] 670
## 
## $number.of.items
## [1] 5
## 
## $alpha
## [1] 0.9166209
## $sample.size
## [1] 503
## 
## $number.of.items
## [1] 5
## 
## $alpha
## [1] 0.9302039
## $sample.size
## [1] 677
## 
## $number.of.items
## [1] 4
## 
## $alpha
## [1] 0.8857804
## $sample.size
## [1] 508
## 
## $number.of.items
## [1] 4
## 
## $alpha
## [1] 0.9099416
## $sample.size
## [1] 678
## 
## $number.of.items
## [1] 4
## 
## $alpha
## [1] 0.8550658
## $sample.size
## [1] 506
## 
## $number.of.items
## [1] 4
## 
## $alpha
## [1] 0.8954087
## $sample.size
## [1] 675
## 
## $number.of.items
## [1] 6
## 
## $alpha
## [1] 0.9089861
## $sample.size
## [1] 504
## 
## $number.of.items
## [1] 6
## 
## $alpha
## [1] 0.9362468

October 6 Final Final Models sem and cfas

## Warning in lavaan::lavaan(model = Interest_1, data = d, missing = "ML.x", :
## lavaan WARNING: syntax contains parameters involving exogenous covariates;
## switching to fixed.x = FALSE
## lavaan 0.6-7 ended normally after 90 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         53
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        37
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                               270.012
##   Degrees of freedom                                82
##   P-value (Chi-square)                           0.000
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_interest =~                                                       
##     pre_int_1         1.000                               1.369    0.920
##     pre_int_2         0.992    0.025   39.992    0.000    1.359    0.910
##     pre_int_3         0.968    0.028   34.724    0.000    1.326    0.864
##     pre_int_4         0.880    0.029   30.482    0.000    1.204    0.815
##     pre_int_5         1.002    0.023   44.020    0.000    1.371    0.934
##   post_interest =~                                                      
##     post_int_1        1.000                               1.497    0.912
##     post_int_2        1.009    0.028   35.536    0.000    1.511    0.922
##     post_int_3        1.005    0.030   33.417    0.000    1.505    0.901
##     post_int_4        0.922    0.033   28.229    0.000    1.380    0.843
##     post_int_5        1.014    0.028   35.848    0.000    1.517    0.924
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_interest ~                                                       
##     female           -0.164    0.098   -1.672    0.095   -0.109   -0.052
##     urm              -0.121    0.183   -0.662    0.508   -0.081   -0.022
##     Best_MPS          0.033    0.012    2.649    0.008    0.022    0.109
##     pre_interest      0.713    0.051   13.898    0.000    0.652    0.652
##     eoc_int_avg       0.171    0.059    2.878    0.004    0.114    0.175
##     participat_c_3   -0.038    0.097   -0.387    0.699   -0.025   -0.012
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_interest ~~                                                       
##     eoc_int_avg       1.013    0.136    7.460    0.000    0.740    0.482
##   female ~~                                                             
##     urm               0.006    0.005    1.277    0.202    0.006    0.049
##     Best_MPS          0.010    0.107    0.097    0.923    0.010    0.004
##     participat_c_3   -0.004    0.009   -0.405    0.686   -0.004   -0.015
##   urm ~~                                                                
##     Best_MPS         -0.217    0.059   -3.681    0.000   -0.217   -0.160
##     participat_c_3    0.008    0.005    1.558    0.119    0.008    0.059
##   Best_MPS ~~                                                           
##     participat_c_3   -0.107    0.111   -0.959    0.337   -0.107   -0.044
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_int_1         5.087    0.057   89.746    0.000    5.087    3.419
##    .pre_int_2         5.031    0.057   88.362    0.000    5.031    3.368
##    .pre_int_3         4.732    0.059   80.832    0.000    4.732    3.083
##    .pre_int_4         4.749    0.056   84.284    0.000    4.749    3.214
##    .pre_int_5         5.106    0.056   91.238    0.000    5.106    3.477
##    .post_int_1        3.525    0.346   10.197    0.000    3.525    2.148
##    .post_int_2        3.455    0.348    9.913    0.000    3.455    2.107
##    .post_int_3        3.143    0.347    9.047    0.000    3.143    1.883
##    .post_int_4        3.336    0.320   10.417    0.000    3.336    2.039
##    .post_int_5        3.503    0.350   10.018    0.000    3.503    2.134
##     female            0.342    0.018   19.064    0.000    0.342    0.722
##     urm               0.083    0.010    7.888    0.000    0.083    0.300
##     Best_MPS         19.994    0.233   85.852    0.000   19.994    4.052
##     eoc_int_avg       3.813    0.088   43.100    0.000    3.813    2.481
##     participat_c_3    0.391    0.018   21.175    0.000    0.391    0.801
##     pre_interest      0.000                               0.000    0.000
##    .post_interest     0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_int_1         0.339    0.025   13.788    0.000    0.339    0.153
##    .pre_int_2         0.385    0.027   14.364    0.000    0.385    0.173
##    .pre_int_3         0.599    0.038   15.871    0.000    0.599    0.254
##    .pre_int_4         0.734    0.044   16.766    0.000    0.734    0.336
##    .pre_int_5         0.277    0.022   12.713    0.000    0.277    0.128
##    .post_int_1        0.452    0.036   12.631    0.000    0.452    0.168
##    .post_int_2        0.405    0.033   12.081    0.000    0.405    0.151
##    .post_int_3        0.523    0.041   12.813    0.000    0.523    0.188
##    .post_int_4        0.775    0.054   14.254    0.000    0.775    0.289
##    .post_int_5        0.393    0.033   11.880    0.000    0.393    0.146
##     eoc_int_avg       2.362    0.207   11.433    0.000    2.362    1.000
##     pre_interest      1.874    0.119   15.739    0.000    1.000    1.000
##    .post_interest     0.936    0.081   11.562    0.000    0.418    0.418
##     female            0.225    0.012   18.682    0.000    0.225    1.000
##     urm               0.076    0.004   18.585    0.000    0.076    1.000
##     Best_MPS         24.345    1.615   15.078    0.000   24.345    1.000
##     participat_c_3    0.238    0.013   18.682    0.000    0.238    1.000
##   cfi   tli rmsea  srmr 
## 0.972 0.966 0.057 0.062
## Warning in lavaan::lavaan(model = Expectancies_1, data = d, missing = "ML.x", :
## lavaan WARNING: syntax contains parameters involving exogenous covariates;
## switching to fixed.x = FALSE
## lavaan 0.6-7 ended normally after 76 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         41
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        32
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                72.988
##   Degrees of freedom                                36
##   P-value (Chi-square)                           0.000
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                        Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_expectancies =~                                                       
##     pre_exp_1             1.000                               0.912    0.782
##     pre_exp_2             0.926    0.047   19.858    0.000    0.844    0.809
##     pre_exp_3             1.069    0.054   19.799    0.000    0.975    0.806
##   post_expectancies =~                                                      
##     post_exp_1            1.000                               1.006    0.781
##     post_exp_2            1.042    0.065   16.094    0.000    1.048    0.766
##     post_exp_3            1.088    0.072   15.135    0.000    1.094    0.772
## 
## Regressions:
##                       Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_expectancies ~                                                      
##     female              -0.162    0.091   -1.778    0.075   -0.161   -0.076
##     urm                  0.229    0.171    1.337    0.181    0.228    0.063
##     Best_MPS             0.038    0.012    3.223    0.001    0.038    0.187
##     pre_expectancs       0.585    0.064    9.078    0.000    0.530    0.530
##     eoc_comp_avg         0.019    0.070    0.270    0.787    0.019    0.024
##     participat_c_3       0.065    0.090    0.723    0.470    0.065    0.032
## 
## Covariances:
##                       Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_expectancies ~~                                                      
##     eoc_comp_avg         0.235    0.080    2.939    0.003    0.257    0.201
##   female ~~                                                                
##     urm                  0.006    0.005    1.276    0.202    0.006    0.049
##     Best_MPS             0.019    0.107    0.180    0.857    0.019    0.008
##     participat_c_3      -0.004    0.009   -0.405    0.686   -0.004   -0.015
##   urm ~~                                                                   
##     Best_MPS            -0.215    0.059   -3.661    0.000   -0.215   -0.159
##     participat_c_3       0.008    0.005    1.556    0.120    0.008    0.059
##   Best_MPS ~~                                                              
##     participat_c_3      -0.106    0.111   -0.955    0.340   -0.106   -0.044
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_exp_1         5.630    0.045  126.240    0.000    5.630    4.827
##    .pre_exp_2         5.829    0.040  146.036    0.000    5.829    5.585
##    .pre_exp_3         5.462    0.046  118.121    0.000    5.462    4.515
##    .post_exp_1        4.527    0.389   11.645    0.000    4.527    3.514
##    .post_exp_2        4.506    0.406   11.102    0.000    4.506    3.295
##    .post_exp_3        4.257    0.426    9.989    0.000    4.257    3.005
##     female            0.342    0.018   19.064    0.000    0.342    0.722
##     urm               0.083    0.010    7.891    0.000    0.083    0.300
##     Best_MPS         19.992    0.233   85.917    0.000   19.992    4.049
##     eoc_comp_avg      4.613    0.079   58.543    0.000    4.613    3.614
##     participat_c_3    0.391    0.018   21.175    0.000    0.391    0.801
##     pre_expectancs    0.000                               0.000    0.000
##    .post_expectncs    0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_exp_1         0.528    0.042   12.712    0.000    0.528    0.388
##    .pre_exp_2         0.376    0.032   11.613    0.000    0.376    0.346
##    .pre_exp_3         0.513    0.044   11.769    0.000    0.513    0.351
##    .post_exp_1        0.648    0.063   10.277    0.000    0.648    0.391
##    .post_exp_2        0.772    0.071   10.892    0.000    0.772    0.413
##    .post_exp_3        0.809    0.078   10.315    0.000    0.809    0.403
##     eoc_comp_avg      1.629    0.142   11.462    0.000    1.629    1.000
##     pre_expectancs    0.832    0.074   11.233    0.000    1.000    1.000
##    .post_expectncs    0.680    0.081    8.377    0.000    0.672    0.672
##     female            0.225    0.012   18.682    0.000    0.225    1.000
##     urm               0.076    0.004   18.586    0.000    0.076    1.000
##     Best_MPS         24.378    1.619   15.061    0.000   24.378    1.000
##     participat_c_3    0.238    0.013   18.682    0.000    0.238    1.000
##   cfi   tli rmsea  srmr 
## 0.976 0.967 0.038 0.045
## Warning in lavaan::lavaan(model = Value_1, data = d, missing = "ML.x",
## model.type = "sem", : lavaan WARNING: syntax contains parameters involving
## exogenous covariates; switching to fixed.x = FALSE
## lavaan 0.6-7 ended normally after 86 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         41
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        34
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                61.850
##   Degrees of freedom                                36
##   P-value (Chi-square)                           0.005
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_value =~                                                          
##     pre_val_1         1.000                               0.970    0.830
##     pre_val_2         0.942    0.046   20.408    0.000    0.913    0.780
##     pre_val_3         0.987    0.049   20.248    0.000    0.958    0.795
##   post_value =~                                                         
##     post_val_1        1.000                               1.162    0.819
##     post_val_2        0.934    0.052   17.929    0.000    1.085    0.785
##     post_val_3        1.006    0.054   18.694    0.000    1.168    0.829
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_value ~                                                          
##     female           -0.060    0.102   -0.587    0.557   -0.051   -0.024
##     urm              -0.082    0.190   -0.432    0.666   -0.071   -0.019
##     Best_MPS          0.039    0.012    3.094    0.002    0.033    0.164
##     pre_value         0.436    0.074    5.865    0.000    0.364    0.364
##     eoc_val_avg       0.281    0.063    4.459    0.000    0.242    0.340
##     participat_c_3    0.159    0.102    1.558    0.119    0.137    0.067
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_value ~~                                                          
##     eoc_val_avg       0.501    0.093    5.382    0.000    0.517    0.368
##   female ~~                                                             
##     urm               0.006    0.005    1.276    0.202    0.006    0.049
##     Best_MPS          0.014    0.107    0.133    0.894    0.014    0.006
##     participat_c_3   -0.004    0.009   -0.405    0.686   -0.004   -0.015
##   urm ~~                                                                
##     Best_MPS         -0.224    0.059   -3.799    0.000   -0.224   -0.165
##     participat_c_3    0.008    0.005    1.556    0.120    0.008    0.059
##   Best_MPS ~~                                                           
##     participat_c_3   -0.104    0.111   -0.933    0.351   -0.104   -0.043
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_val_1         5.800    0.045  129.987    0.000    5.800    4.966
##    .pre_val_2         5.590    0.045  124.965    0.000    5.590    4.774
##    .pre_val_3         5.601    0.046  121.543    0.000    5.601    4.648
##    .post_val_1        3.234    0.401    8.055    0.000    3.234    2.279
##    .post_val_2        3.150    0.375    8.391    0.000    3.150    2.280
##    .post_val_3        3.050    0.403    7.566    0.000    3.050    2.165
##     female            0.342    0.018   19.064    0.000    0.342    0.722
##     urm               0.083    0.010    7.891    0.000    0.083    0.300
##     Best_MPS         20.019    0.233   85.948    0.000   20.019    4.056
##     eoc_val_avg       4.719    0.084   55.938    0.000    4.719    3.358
##     participat_c_3    0.391    0.018   21.175    0.000    0.391    0.801
##     pre_value         0.000                               0.000    0.000
##    .post_value        0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_val_1         0.423    0.040   10.571    0.000    0.423    0.310
##    .pre_val_2         0.537    0.041   13.029    0.000    0.537    0.392
##    .pre_val_3         0.535    0.044   12.119    0.000    0.535    0.368
##    .post_val_1        0.664    0.065   10.184    0.000    0.664    0.330
##    .post_val_2        0.732    0.064   11.489    0.000    0.732    0.384
##    .post_val_3        0.620    0.064    9.761    0.000    0.620    0.312
##     eoc_val_avg       1.975    0.179   11.018    0.000    1.975    1.000
##     pre_value         0.941    0.077   12.156    0.000    1.000    1.000
##    .post_value        0.847    0.101    8.421    0.000    0.628    0.628
##     female            0.225    0.012   18.682    0.000    0.225    1.000
##     urm               0.076    0.004   18.585    0.000    0.076    1.000
##     Best_MPS         24.366    1.617   15.071    0.000   24.366    1.000
##     participat_c_3    0.238    0.013   18.682    0.000    0.238    1.000
##   cfi   tli rmsea  srmr 
## 0.984 0.979 0.032 0.039
## Warning in lavaan::lavaan(model = TE_Cost_1, data = d, missing = "ML.x", :
## lavaan WARNING: syntax contains parameters involving exogenous covariates;
## switching to fixed.x = FALSE
## lavaan 0.6-7 ended normally after 75 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         53
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        42
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                               165.335
##   Degrees of freedom                                82
##   P-value (Chi-square)                           0.000
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_te_cost =~                                                        
##     pre_cost_te_1     1.000                               1.193    0.847
##     pre_cost_te_2     0.972    0.039   25.071    0.000    1.159    0.803
##     pre_cost_te_3     0.974    0.034   28.285    0.000    1.162    0.857
##     pre_cost_te_4     0.969    0.037   26.001    0.000    1.155    0.824
##     pre_cost_te_5     0.992    0.039   25.646    0.000    1.183    0.818
##   post_te_cost =~                                                       
##     post_cost_te_1    1.000                               1.341    0.865
##     post_cost_te_2    0.953    0.043   22.292    0.000    1.278    0.791
##     post_cost_te_3    1.052    0.039   27.165    0.000    1.410    0.878
##     post_cost_te_4    1.009    0.039   26.044    0.000    1.354    0.865
##     post_cost_te_5    0.991    0.038   25.846    0.000    1.329    0.867
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_te_cost ~                                                        
##     female            0.072    0.104    0.699    0.485    0.054    0.026
##     urm              -0.121    0.194   -0.626    0.532   -0.091   -0.025
##     Best_MPS         -0.038    0.013   -2.850    0.004   -0.028   -0.140
##     pre_te_cost       0.297    0.065    4.557    0.000    0.264    0.264
##     eoc_cost_te_vg    0.451    0.061    7.427    0.000    0.336    0.480
##     participat_c_3   -0.211    0.106   -1.996    0.046   -0.158   -0.077
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_te_cost ~~                                                        
##     eoc_cost_te_vg    0.994    0.104    9.606    0.000    0.834    0.584
##   female ~~                                                             
##     urm               0.006    0.005    1.275    0.202    0.006    0.049
##     Best_MPS          0.019    0.107    0.176    0.860    0.019    0.008
##     participat_c_3   -0.004    0.009   -0.405    0.686   -0.004   -0.015
##   urm ~~                                                                
##     Best_MPS         -0.224    0.059   -3.802    0.000   -0.224   -0.165
##     participat_c_3    0.008    0.005    1.558    0.119    0.008    0.059
##   Best_MPS ~~                                                           
##     participat_c_3   -0.097    0.112   -0.865    0.387   -0.097   -0.040
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_te_1     3.282    0.054   61.090    0.000    3.282    2.332
##    .pre_cost_te_2     3.434    0.055   62.367    0.000    3.434    2.379
##    .pre_cost_te_3     3.241    0.052   62.604    0.000    3.241    2.391
##    .pre_cost_te_4     3.385    0.054   63.224    0.000    3.385    2.413
##    .pre_cost_te_5     3.257    0.055   59.040    0.000    3.257    2.253
##    .post_cost_te_1    2.862    0.366    7.820    0.000    2.862    1.845
##    .post_cost_te_2    2.954    0.350    8.434    0.000    2.954    1.829
##    .post_cost_te_3    2.816    0.384    7.325    0.000    2.816    1.752
##    .post_cost_te_4    2.835    0.369    7.674    0.000    2.835    1.812
##    .post_cost_te_5    2.869    0.363    7.910    0.000    2.869    1.872
##     female            0.342    0.018   19.064    0.000    0.342    0.722
##     urm               0.083    0.010    7.888    0.000    0.083    0.300
##     Best_MPS         20.044    0.234   85.757    0.000   20.044    4.057
##     eoc_cost_te_vg    3.060    0.079   38.674    0.000    3.060    2.144
##     participat_c_3    0.391    0.018   21.175    0.000    0.391    0.801
##     pre_te_cost       0.000                               0.000    0.000
##    .post_te_cost      0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_te_1     0.558    0.039   14.201    0.000    0.558    0.282
##    .pre_cost_te_2     0.738    0.048   15.425    0.000    0.738    0.354
##    .pre_cost_te_3     0.488    0.035   13.758    0.000    0.488    0.265
##    .pre_cost_te_4     0.633    0.042   14.970    0.000    0.633    0.322
##    .pre_cost_te_5     0.690    0.046   14.995    0.000    0.690    0.330
##    .post_cost_te_1    0.607    0.049   12.451    0.000    0.607    0.252
##    .post_cost_te_2    0.974    0.069   14.061    0.000    0.974    0.374
##    .post_cost_te_3    0.593    0.049   12.058    0.000    0.593    0.230
##    .post_cost_te_4    0.616    0.049   12.596    0.000    0.616    0.252
##    .post_cost_te_5    0.584    0.047   12.393    0.000    0.584    0.248
##     eoc_cost_te_vg    2.039    0.167   12.236    0.000    2.039    1.000
##     pre_te_cost       1.423    0.106   13.449    0.000    1.000    1.000
##    .post_te_cost      0.947    0.097    9.762    0.000    0.526    0.526
##     female            0.225    0.012   18.682    0.000    0.225    1.000
##     urm               0.076    0.004   18.585    0.000    0.076    1.000
##     Best_MPS         24.405    1.622   15.048    0.000   24.405    1.000
##     participat_c_3    0.238    0.013   18.682    0.000    0.238    1.000
##   cfi   tli rmsea  srmr 
## 0.982 0.978 0.038 0.036
## Warning in lavaan::lavaan(model = OE_Cost_1, data = d, missing = "ML.x", :
## lavaan WARNING: syntax contains parameters involving exogenous covariates;
## switching to fixed.x = FALSE
## lavaan 0.6-7 ended normally after 69 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         47
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        34
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                93.894
##   Degrees of freedom                                57
##   P-value (Chi-square)                           0.002
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_oe_cost =~                                                        
##     pre_cost_oe_1     1.000                               1.068    0.818
##     pre_cost_oe_2     1.000    0.043   23.203    0.000    1.068    0.814
##     pre_cost_oe_3     1.001    0.041   24.205    0.000    1.069    0.832
##     pre_cost_oe_4     0.966    0.043   22.430    0.000    1.032    0.789
##   post_oe_cost =~                                                       
##     post_cost_oe_1    1.000                               1.226    0.861
##     post_cost_oe_2    1.089    0.043   25.101    0.000    1.336    0.871
##     post_cost_oe_3    0.959    0.044   21.757    0.000    1.176    0.797
##     post_cost_oe_4    1.028    0.041   24.803    0.000    1.261    0.867
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_oe_cost ~                                                        
##     female            0.039    0.099    0.393    0.695    0.032    0.015
##     urm              -0.404    0.186   -2.172    0.030   -0.329   -0.091
##     Best_MPS         -0.035    0.012   -2.769    0.006   -0.028   -0.139
##     pre_oe_cost       0.258    0.069    3.745    0.000    0.225    0.225
##     eoc_cost_oe_vg    0.479    0.063    7.589    0.000    0.391    0.503
##     participat_c_3    0.000    0.101    0.004    0.997    0.000    0.000
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_oe_cost ~~                                                        
##     eoc_cost_oe_vg    0.762    0.087    8.804    0.000    0.713    0.553
##   female ~~                                                             
##     urm               0.006    0.005    1.277    0.202    0.006    0.049
##     Best_MPS          0.028    0.107    0.258    0.796    0.028    0.012
##     participat_c_3   -0.004    0.009   -0.405    0.686   -0.004   -0.015
##   urm ~~                                                                
##     Best_MPS         -0.227    0.059   -3.845    0.000   -0.227   -0.167
##     participat_c_3    0.008    0.005    1.556    0.120    0.008    0.059
##   Best_MPS ~~                                                           
##     participat_c_3   -0.106    0.112   -0.947    0.343   -0.106   -0.044
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_oe_1     2.831    0.050   56.833    0.000    2.831    2.169
##    .pre_cost_oe_2     2.859    0.050   57.077    0.000    2.859    2.178
##    .pre_cost_oe_3     2.781    0.049   56.772    0.000    2.781    2.165
##    .pre_cost_oe_4     2.790    0.050   55.871    0.000    2.790    2.134
##    .post_cost_oe_1    2.447    0.325    7.522    0.000    2.447    1.718
##    .post_cost_oe_2    2.530    0.354    7.145    0.000    2.530    1.650
##    .post_cost_oe_3    2.573    0.313    8.226    0.000    2.573    1.743
##    .post_cost_oe_4    2.477    0.335    7.404    0.000    2.477    1.704
##     female            0.342    0.018   19.064    0.000    0.342    0.722
##     urm               0.083    0.010    7.889    0.000    0.083    0.300
##     Best_MPS         20.050    0.234   85.642    0.000   20.050    4.056
##     eoc_cost_oe_vg    2.782    0.073   38.187    0.000    2.782    2.159
##     participat_c_3    0.391    0.018   21.175    0.000    0.391    0.801
##     pre_oe_cost       0.000                               0.000    0.000
##    .post_oe_cost      0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_oe_1     0.563    0.041   13.696    0.000    0.563    0.330
##    .pre_cost_oe_2     0.582    0.042   13.864    0.000    0.582    0.337
##    .pre_cost_oe_3     0.507    0.039   13.117    0.000    0.507    0.307
##    .pre_cost_oe_4     0.646    0.044   14.535    0.000    0.646    0.378
##    .post_cost_oe_1    0.524    0.045   11.669    0.000    0.524    0.258
##    .post_cost_oe_2    0.567    0.050   11.309    0.000    0.567    0.241
##    .post_cost_oe_3    0.795    0.059   13.428    0.000    0.795    0.365
##    .post_cost_oe_4    0.524    0.046   11.446    0.000    0.524    0.248
##     eoc_cost_oe_vg    1.661    0.136   12.190    0.000    1.661    1.000
##     pre_oe_cost       1.141    0.091   12.494    0.000    1.000    1.000
##    .post_oe_cost      0.824    0.087    9.432    0.000    0.548    0.548
##     female            0.225    0.012   18.682    0.000    0.225    1.000
##     urm               0.076    0.004   18.580    0.000    0.076    1.000
##     Best_MPS         24.432    1.625   15.032    0.000   24.432    1.000
##     participat_c_3    0.238    0.013   18.682    0.000    0.238    1.000
##   cfi   tli rmsea  srmr 
## 0.988 0.985 0.030 0.033
## Warning in lavaan::lavaan(model = LV_Cost_1, data = d, missing = "ML.x", :
## lavaan WARNING: syntax contains parameters involving exogenous covariates;
## switching to fixed.x = FALSE
## lavaan 0.6-7 ended normally after 72 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         47
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        33
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                58.848
##   Degrees of freedom                                57
##   P-value (Chi-square)                           0.408
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_lv_cost =~                                                        
##     pre_cost_lv_1     1.000                               1.036    0.774
##     pre_cost_lv_2     1.092    0.049   22.295    0.000    1.131    0.835
##     pre_cost_lv_3     1.155    0.051   22.813    0.000    1.197    0.862
##     pre_cost_lv_4     0.980    0.057   17.139    0.000    1.015    0.661
##   post_lv_cost =~                                                       
##     post_cost_lv_1    1.000                               1.193    0.818
##     post_cost_lv_2    1.048    0.048   21.700    0.000    1.250    0.852
##     post_cost_lv_3    1.102    0.050   22.145    0.000    1.315    0.856
##     post_cost_lv_4    1.093    0.054   20.118    0.000    1.304    0.805
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_lv_cost ~                                                        
##     female           -0.014    0.097   -0.146    0.884   -0.012   -0.006
##     urm              -0.424    0.183   -2.312    0.021   -0.355   -0.098
##     Best_MPS         -0.033    0.012   -2.719    0.007   -0.028   -0.138
##     pre_lv_cost       0.283    0.065    4.347    0.000    0.246    0.246
##     eoc_cost_lv_vg    0.426    0.056    7.635    0.000    0.357    0.490
##     participat_c_3   -0.159    0.100   -1.601    0.109   -0.134   -0.065
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_lv_cost ~~                                                        
##     eoc_cost_lv_vg    0.695    0.090    7.765    0.000    0.671    0.490
##   female ~~                                                             
##     urm               0.006    0.005    1.282    0.200    0.006    0.049
##     Best_MPS          0.018    0.107    0.164    0.870    0.018    0.008
##     participat_c_3   -0.004    0.009   -0.405    0.686   -0.004   -0.015
##   urm ~~                                                                
##     Best_MPS         -0.225    0.059   -3.821    0.000   -0.225   -0.166
##     participat_c_3    0.008    0.005    1.558    0.119    0.008    0.059
##   Best_MPS ~~                                                           
##     participat_c_3   -0.099    0.112   -0.887    0.375   -0.099   -0.041
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_lv_1     2.879    0.051   56.381    0.000    2.879    2.152
##    .pre_cost_lv_2     3.044    0.052   58.915    0.000    3.044    2.248
##    .pre_cost_lv_3     3.027    0.053   57.052    0.000    3.027    2.180
##    .pre_cost_lv_4     3.690    0.059   62.975    0.000    3.690    2.403
##    .post_cost_lv_1    2.720    0.318    8.541    0.000    2.720    1.864
##    .post_cost_lv_2    2.704    0.333    8.117    0.000    2.704    1.842
##    .post_cost_lv_3    2.755    0.350    7.872    0.000    2.755    1.793
##    .post_cost_lv_4    2.981    0.348    8.564    0.000    2.981    1.840
##     female            0.342    0.018   19.064    0.000    0.342    0.722
##     urm               0.083    0.010    7.888    0.000    0.083    0.300
##     Best_MPS         20.033    0.234   85.770    0.000   20.033    4.056
##     eoc_cost_lv_vg    2.751    0.079   34.891    0.000    2.751    2.006
##     participat_c_3    0.391    0.018   21.175    0.000    0.391    0.801
##     pre_lv_cost       0.000                               0.000    0.000
##    .post_lv_cost      0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_lv_1     0.717    0.049   14.723    0.000    0.717    0.401
##    .pre_cost_lv_2     0.555    0.044   12.473    0.000    0.555    0.302
##    .pre_cost_lv_3     0.496    0.045   11.034    0.000    0.496    0.257
##    .pre_cost_lv_4     1.329    0.080   16.603    0.000    1.329    0.564
##    .post_cost_lv_1    0.705    0.056   12.484    0.000    0.705    0.331
##    .post_cost_lv_2    0.591    0.052   11.373    0.000    0.591    0.274
##    .post_cost_lv_3    0.632    0.057   11.185    0.000    0.632    0.268
##    .post_cost_lv_4    0.924    0.072   12.782    0.000    0.924    0.352
##     eoc_cost_lv_vg    1.880    0.155   12.134    0.000    1.880    1.000
##     pre_lv_cost       1.073    0.093   11.501    0.000    1.000    1.000
##    .post_lv_cost      0.788    0.088    8.935    0.000    0.553    0.553
##     female            0.225    0.012   18.682    0.000    0.225    1.000
##     urm               0.076    0.004   18.584    0.000    0.076    1.000
##     Best_MPS         24.399    1.621   15.052    0.000   24.399    1.000
##     participat_c_3    0.238    0.013   18.682    0.000    0.238    1.000
##   cfi   tli rmsea  srmr 
## 0.999 0.999 0.007 0.027
## Warning in lavaan::lavaan(model = EM_Cost_1, data = d, missing = "ML.x", :
## lavaan WARNING: syntax contains parameters involving exogenous covariates;
## switching to fixed.x = FALSE
## lavaan 0.6-7 ended normally after 83 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         59
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        38
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                               272.895
##   Degrees of freedom                               111
##   P-value (Chi-square)                           0.000
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_em_cost =~                                                        
##     pre_cost_em_1     1.000                               1.253    0.754
##     pre_cost_em_2     0.906    0.043   21.156    0.000    1.136    0.796
##     pre_cost_em_3     1.026    0.049   20.950    0.000    1.286    0.789
##     pre_cost_em_4     0.956    0.045   21.409    0.000    1.198    0.803
##     pre_cost_em_5     1.025    0.046   22.411    0.000    1.285    0.838
##     pre_cost_em_6     0.994    0.047   21.001    0.000    1.246    0.781
##   post_em_cost =~                                                       
##     post_cost_em_1    1.000                               1.407    0.773
##     post_cost_em_2    1.012    0.047   21.384    0.000    1.424    0.857
##     post_cost_em_3    1.089    0.051   21.210    0.000    1.532    0.852
##     post_cost_em_4    1.030    0.048   21.314    0.000    1.450    0.857
##     post_cost_em_5    1.058    0.048   21.927    0.000    1.489    0.869
##     post_cost_em_6    1.089    0.052   21.076    0.000    1.533    0.842
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_em_cost ~                                                        
##     female            0.095    0.106    0.897    0.370    0.067    0.032
##     urm              -0.257    0.194   -1.325    0.185   -0.183   -0.050
##     Best_MPS         -0.033    0.014   -2.423    0.015   -0.024   -0.117
##     pre_em_cost       0.236    0.060    3.937    0.000    0.210    0.210
##     eoc_cost_em_vg    0.525    0.052   10.013    0.000    0.373    0.594
##     participat_c_3   -0.281    0.110   -2.557    0.011   -0.200   -0.098
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_em_cost ~~                                                        
##     eoc_cost_em_vg    1.131    0.124    9.151    0.000    0.903    0.566
##   female ~~                                                             
##     urm               0.006    0.005    1.278    0.201    0.006    0.049
##     Best_MPS          0.017    0.107    0.161    0.872    0.017    0.007
##     participat_c_3   -0.004    0.009   -0.405    0.686   -0.004   -0.015
##   urm ~~                                                                
##     Best_MPS         -0.220    0.059   -3.738    0.000   -0.220   -0.162
##     participat_c_3    0.008    0.005    1.560    0.119    0.008    0.059
##   Best_MPS ~~                                                           
##     participat_c_3   -0.107    0.112   -0.959    0.337   -0.107   -0.044
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_em_1     3.986    0.063   62.777    0.000    3.986    2.397
##    .pre_cost_em_2     3.400    0.054   62.429    0.000    3.400    2.382
##    .pre_cost_em_3     3.818    0.062   61.413    0.000    3.818    2.344
##    .pre_cost_em_4     3.453    0.057   60.643    0.000    3.453    2.313
##    .pre_cost_em_5     3.607    0.059   61.630    0.000    3.607    2.354
##    .pre_cost_em_6     3.741    0.061   61.413    0.000    3.741    2.344
##    .post_cost_em_1    3.249    0.361    8.990    0.000    3.249    1.784
##    .post_cost_em_2    2.603    0.364    7.159    0.000    2.603    1.566
##    .post_cost_em_3    2.817    0.392    7.190    0.000    2.817    1.567
##    .post_cost_em_4    2.711    0.370    7.320    0.000    2.711    1.603
##    .post_cost_em_5    2.787    0.380    7.338    0.000    2.787    1.627
##    .post_cost_em_6    2.932    0.392    7.482    0.000    2.932    1.610
##     female            0.342    0.018   19.064    0.000    0.342    0.722
##     urm               0.083    0.010    7.886    0.000    0.083    0.300
##     Best_MPS         20.044    0.234   85.566    0.000   20.044    4.058
##     eoc_cost_em_vg    3.152    0.089   35.455    0.000    3.152    1.978
##     participat_c_3    0.391    0.018   21.175    0.000    0.391    0.801
##     pre_em_cost       0.000                               0.000    0.000
##    .post_em_cost      0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_em_1     1.194    0.074   16.139    0.000    1.194    0.432
##    .pre_cost_em_2     0.747    0.048   15.432    0.000    0.747    0.367
##    .pre_cost_em_3     1.000    0.064   15.595    0.000    1.000    0.377
##    .pre_cost_em_4     0.792    0.052   15.313    0.000    0.792    0.356
##    .pre_cost_em_5     0.698    0.049   14.314    0.000    0.698    0.297
##    .pre_cost_em_6     0.994    0.063   15.668    0.000    0.994    0.390
##    .post_cost_em_1    1.337    0.093   14.448    0.000    1.337    0.403
##    .post_cost_em_2    0.734    0.056   13.131    0.000    0.734    0.266
##    .post_cost_em_3    0.884    0.067   13.189    0.000    0.884    0.273
##    .post_cost_em_4    0.757    0.058   13.121    0.000    0.757    0.265
##    .post_cost_em_5    0.719    0.056   12.760    0.000    0.719    0.245
##    .post_cost_em_6    0.965    0.072   13.473    0.000    0.965    0.291
##     eoc_cost_em_vg    2.541    0.206   12.309    0.000    2.541    1.000
##     pre_em_cost       1.571    0.140   11.258    0.000    1.000    1.000
##    .post_em_cost      0.866    0.107    8.118    0.000    0.437    0.437
##     female            0.225    0.012   18.682    0.000    0.225    1.000
##     urm               0.076    0.004   18.585    0.000    0.076    1.000
##     Best_MPS         24.403    1.622   15.046    0.000   24.403    1.000
##     participat_c_3    0.238    0.013   18.682    0.000    0.238    1.000
##   cfi   tli rmsea  srmr 
## 0.970 0.964 0.046 0.056

With signals responded as tertiles

## Warning in lavaan::lavaan(model = Interest_1, data = d, missing = "ML.x", :
## lavaan WARNING: syntax contains parameters involving exogenous covariates;
## switching to fixed.x = FALSE
## lavaan 0.6-7 ended normally after 99 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         60
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        40
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                               291.654
##   Degrees of freedom                                92
##   P-value (Chi-square)                           0.000
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_interest =~                                                       
##     pre_int_1         1.000                               1.369    0.920
##     pre_int_2         0.992    0.025   40.000    0.000    1.359    0.910
##     pre_int_3         0.968    0.028   34.723    0.000    1.326    0.864
##     pre_int_4         0.880    0.029   30.485    0.000    1.204    0.815
##     pre_int_5         1.002    0.023   44.022    0.000    1.371    0.934
##   post_interest =~                                                      
##     post_int_1        1.000                               1.497    0.912
##     post_int_2        1.009    0.028   35.552    0.000    1.511    0.922
##     post_int_3        1.005    0.030   33.408    0.000    1.504    0.901
##     post_int_4        0.921    0.033   28.209    0.000    1.379    0.843
##     post_int_5        1.014    0.028   35.870    0.000    1.518    0.924
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_interest ~                                                       
##     female           -0.169    0.103   -1.636    0.102   -0.113   -0.054
##     urm              -0.101    0.185   -0.543    0.587   -0.067   -0.018
##     Best_MPS          0.034    0.012    2.759    0.006    0.023    0.113
##     pre_interest      0.715    0.052   13.860    0.000    0.654    0.654
##     eoc_int_avg       0.168    0.060    2.811    0.005    0.112    0.173
##     second_tertile   -0.130    0.201   -0.645    0.519   -0.087   -0.040
##     third_tertile     0.038    0.193    0.194    0.846    0.025    0.012
## 
## Covariances:
##                     Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_interest ~~                                                        
##     eoc_int_avg        1.012    0.136    7.450    0.000    0.739    0.481
##   female ~~                                                              
##     urm                0.006    0.005    1.276    0.202    0.006    0.049
##     Best_MPS           0.011    0.107    0.101    0.920    0.011    0.005
##     second_tertile     0.002    0.013    0.169    0.866    0.002    0.010
##     third_tertile      0.038    0.013    2.810    0.005    0.038    0.170
##   urm ~~                                                                 
##     Best_MPS          -0.216    0.059   -3.669    0.000   -0.216   -0.159
##     second_tertile     0.001    0.007    0.112    0.911    0.001    0.006
##     third_tertile     -0.010    0.007   -1.454    0.146   -0.010   -0.079
##   Best_MPS ~~                                                            
##     second_tertile     0.150    0.157    0.956    0.339    0.150    0.066
##     third_tertile     -0.132    0.166   -0.795    0.427   -0.132   -0.057
##   second_tertile ~~                                                      
##     third_tertile     -0.103    0.015   -7.050    0.000   -0.103   -0.471
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_int_1         5.087    0.057   89.739    0.000    5.087    3.419
##    .pre_int_2         5.031    0.057   88.355    0.000    5.031    3.368
##    .pre_int_3         4.732    0.059   80.825    0.000    4.732    3.083
##    .pre_int_4         4.749    0.056   84.278    0.000    4.749    3.213
##    .pre_int_5         5.106    0.056   91.229    0.000    5.106    3.476
##    .post_int_1        3.522    0.366    9.609    0.000    3.522    2.146
##    .post_int_2        3.451    0.370    9.336    0.000    3.451    2.105
##    .post_int_3        3.140    0.368    8.527    0.000    3.140    1.881
##    .post_int_4        3.334    0.339    9.827    0.000    3.334    2.037
##    .post_int_5        3.500    0.371    9.432    0.000    3.500    2.132
##     female            0.342    0.018   19.064    0.000    0.342    0.722
##     urm               0.083    0.010    7.899    0.000    0.083    0.300
##     Best_MPS         19.966    0.233   85.785    0.000   19.966    4.047
##     eoc_int_avg       3.819    0.088   43.631    0.000    3.819    2.486
##     second_tertile    0.315    0.028   11.202    0.000    0.315    0.679
##     third_tertile     0.330    0.028   11.742    0.000    0.330    0.704
##     pre_interest      0.000                               0.000    0.000
##    .post_interest     0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_int_1         0.339    0.025   13.782    0.000    0.339    0.153
##    .pre_int_2         0.385    0.027   14.364    0.000    0.385    0.173
##    .pre_int_3         0.599    0.038   15.874    0.000    0.599    0.254
##    .pre_int_4         0.734    0.044   16.766    0.000    0.734    0.336
##    .pre_int_5         0.277    0.022   12.717    0.000    0.277    0.128
##    .post_int_1        0.452    0.036   12.627    0.000    0.452    0.168
##    .post_int_2        0.404    0.033   12.077    0.000    0.404    0.150
##    .post_int_3        0.524    0.041   12.817    0.000    0.524    0.188
##    .post_int_4        0.776    0.054   14.257    0.000    0.776    0.290
##    .post_int_5        0.392    0.033   11.866    0.000    0.392    0.145
##     eoc_int_avg       2.360    0.206   11.439    0.000    2.360    1.000
##     pre_interest      1.875    0.119   15.740    0.000    1.000    1.000
##    .post_interest     0.933    0.081   11.524    0.000    0.416    0.416
##     female            0.225    0.012   18.682    0.000    0.225    1.000
##     urm               0.076    0.004   18.584    0.000    0.076    1.000
##     Best_MPS         24.339    1.614   15.080    0.000   24.339    1.000
##     second_tertile    0.216    0.018   11.682    0.000    0.216    1.000
##     third_tertile     0.219    0.019   11.705    0.000    0.219    1.000
##   cfi   tli rmsea  srmr 
## 0.970 0.965 0.056 0.064
## Warning in lavaan::lavaan(model = Expectancies_1, data = d, missing = "ML.x", :
## lavaan WARNING: syntax contains parameters involving exogenous covariates;
## switching to fixed.x = FALSE
## lavaan 0.6-7 ended normally after 88 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         48
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        35
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                71.001
##   Degrees of freedom                                42
##   P-value (Chi-square)                           0.003
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                        Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_expectancies =~                                                       
##     pre_exp_1             1.000                               0.912    0.782
##     pre_exp_2             0.926    0.047   19.869    0.000    0.844    0.809
##     pre_exp_3             1.070    0.054   19.797    0.000    0.976    0.807
##   post_expectancies =~                                                      
##     post_exp_1            1.000                               1.006    0.781
##     post_exp_2            1.040    0.065   16.114    0.000    1.046    0.765
##     post_exp_3            1.088    0.072   15.147    0.000    1.094    0.773
## 
## Regressions:
##                       Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_expectancies ~                                                      
##     female              -0.240    0.098   -2.462    0.014   -0.239   -0.113
##     urm                  0.292    0.173    1.686    0.092    0.291    0.080
##     Best_MPS             0.038    0.012    3.212    0.001    0.038    0.186
##     pre_expectancs       0.583    0.064    9.039    0.000    0.528    0.528
##     eoc_comp_avg         0.032    0.068    0.474    0.635    0.032    0.041
##     second_tertile       0.126    0.201    0.626    0.532    0.125    0.058
##     third_tertile        0.428    0.187    2.289    0.022    0.425    0.200
## 
## Covariances:
##                       Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_expectancies ~~                                                      
##     eoc_comp_avg         0.238    0.080    2.980    0.003    0.261    0.204
##   female ~~                                                                
##     urm                  0.006    0.005    1.275    0.202    0.006    0.049
##     Best_MPS             0.020    0.107    0.183    0.855    0.020    0.008
##     second_tertile       0.002    0.013    0.129    0.897    0.002    0.008
##     third_tertile        0.039    0.013    2.909    0.004    0.039    0.175
##   urm ~~                                                                   
##     Best_MPS            -0.215    0.059   -3.649    0.000   -0.215   -0.158
##     second_tertile       0.001    0.007    0.107    0.915    0.001    0.006
##     third_tertile       -0.009    0.007   -1.349    0.177   -0.009   -0.073
##   Best_MPS ~~                                                              
##     second_tertile       0.153    0.157    0.971    0.332    0.153    0.067
##     third_tertile       -0.115    0.165   -0.697    0.486   -0.115   -0.049
##   second_tertile ~~                                                        
##     third_tertile       -0.103    0.015   -7.026    0.000   -0.103   -0.471
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_exp_1         5.630    0.045  126.233    0.000    5.630    4.826
##    .pre_exp_2         5.829    0.040  146.027    0.000    5.829    5.584
##    .pre_exp_3         5.462    0.046  118.115    0.000    5.462    4.515
##    .post_exp_1        4.323    0.401   10.783    0.000    4.323    3.357
##    .post_exp_2        4.296    0.418   10.284    0.000    4.296    3.143
##    .post_exp_3        4.035    0.440    9.176    0.000    4.035    2.849
##     female            0.342    0.018   19.064    0.000    0.342    0.722
##     urm               0.083    0.010    7.901    0.000    0.083    0.301
##     Best_MPS         19.960    0.233   85.814    0.000   19.960    4.044
##     eoc_comp_avg      4.611    0.079   58.548    0.000    4.611    3.611
##     second_tertile    0.316    0.028   11.220    0.000    0.316    0.681
##     third_tertile     0.329    0.028   11.738    0.000    0.329    0.700
##     pre_expectancs    0.000                               0.000    0.000
##    .post_expectncs    0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_exp_1         0.529    0.042   12.730    0.000    0.529    0.389
##    .pre_exp_2         0.377    0.032   11.634    0.000    0.377    0.346
##    .pre_exp_3         0.512    0.044   11.742    0.000    0.512    0.350
##    .post_exp_1        0.647    0.063   10.269    0.000    0.647    0.390
##    .post_exp_2        0.776    0.071   10.964    0.000    0.776    0.415
##    .post_exp_3        0.807    0.078   10.309    0.000    0.807    0.403
##     eoc_comp_avg      1.631    0.142   11.451    0.000    1.631    1.000
##     pre_expectancs    0.832    0.074   11.228    0.000    1.000    1.000
##    .post_expectncs    0.650    0.081    8.038    0.000    0.643    0.643
##     female            0.225    0.012   18.682    0.000    0.225    1.000
##     urm               0.076    0.004   18.584    0.000    0.076    1.000
##     Best_MPS         24.365    1.617   15.067    0.000   24.365    1.000
##     second_tertile    0.216    0.018   11.682    0.000    0.216    1.000
##     third_tertile     0.220    0.019   11.644    0.000    0.220    1.000
##   cfi   tli rmsea  srmr 
## 0.981 0.974 0.031 0.045
## Warning in lavaan::lavaan(model = Value_1, data = d, missing = "ML.x",
## model.type = "sem", : lavaan WARNING: syntax contains parameters involving
## exogenous covariates; switching to fixed.x = FALSE
## lavaan 0.6-7 ended normally after 87 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         48
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        37
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                66.505
##   Degrees of freedom                                42
##   P-value (Chi-square)                           0.009
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_value =~                                                          
##     pre_val_1         1.000                               0.970    0.831
##     pre_val_2         0.941    0.046   20.411    0.000    0.913    0.779
##     pre_val_3         0.988    0.049   20.242    0.000    0.958    0.795
##   post_value =~                                                         
##     post_val_1        1.000                               1.163    0.818
##     post_val_2        0.940    0.052   17.941    0.000    1.093    0.790
##     post_val_3        1.005    0.054   18.766    0.000    1.169    0.828
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_value ~                                                          
##     female           -0.148    0.106   -1.387    0.165   -0.127   -0.060
##     urm              -0.022    0.193   -0.116    0.908   -0.019   -0.005
##     Best_MPS          0.037    0.013    2.963    0.003    0.032    0.158
##     pre_value         0.435    0.074    5.901    0.000    0.363    0.363
##     eoc_val_avg       0.288    0.061    4.732    0.000    0.248    0.349
##     second_tertile    0.399    0.207    1.925    0.054    0.343    0.159
##     third_tertile     0.506    0.195    2.590    0.010    0.435    0.204
## 
## Covariances:
##                     Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_value ~~                                                           
##     eoc_val_avg        0.507    0.093    5.436    0.000    0.522    0.371
##   female ~~                                                              
##     urm                0.006    0.005    1.274    0.203    0.006    0.049
##     Best_MPS           0.014    0.107    0.134    0.894    0.014    0.006
##     second_tertile     0.001    0.013    0.072    0.943    0.001    0.004
##     third_tertile      0.036    0.013    2.706    0.007    0.036    0.164
##   urm ~~                                                                 
##     Best_MPS          -0.223    0.059   -3.789    0.000   -0.223   -0.164
##     second_tertile     0.001    0.007    0.132    0.895    0.001    0.007
##     third_tertile     -0.010    0.007   -1.462    0.144   -0.010   -0.080
##   Best_MPS ~~                                                            
##     second_tertile     0.148    0.158    0.936    0.350    0.148    0.064
##     third_tertile     -0.136    0.165   -0.821    0.412   -0.136   -0.059
##   second_tertile ~~                                                      
##     third_tertile     -0.102    0.015   -7.041    0.000   -0.102   -0.471
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_val_1         5.800    0.045  129.994    0.000    5.800    4.966
##    .pre_val_2         5.591    0.045  124.973    0.000    5.591    4.774
##    .pre_val_3         5.601    0.046  121.560    0.000    5.601    4.648
##    .post_val_1        3.018    0.399    7.572    0.000    3.018    2.123
##    .post_val_2        2.934    0.377    7.787    0.000    2.934    2.120
##    .post_val_3        2.834    0.400    7.086    0.000    2.834    2.007
##     female            0.342    0.018   19.064    0.000    0.342    0.722
##     urm               0.083    0.010    7.901    0.000    0.083    0.301
##     Best_MPS         19.986    0.233   85.819    0.000   19.986    4.048
##     eoc_val_avg       4.698    0.082   57.112    0.000    4.698    3.340
##     second_tertile    0.314    0.028   11.149    0.000    0.314    0.676
##     third_tertile     0.327    0.028   11.658    0.000    0.327    0.698
##     pre_value         0.000                               0.000    0.000
##    .post_value        0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_val_1         0.423    0.040   10.559    0.000    0.423    0.310
##    .pre_val_2         0.538    0.041   13.059    0.000    0.538    0.393
##    .pre_val_3         0.534    0.044   12.097    0.000    0.534    0.368
##    .post_val_1        0.669    0.065   10.293    0.000    0.669    0.331
##    .post_val_2        0.721    0.064   11.344    0.000    0.721    0.376
##    .post_val_3        0.626    0.063    9.894    0.000    0.626    0.314
##     eoc_val_avg       1.979    0.180   11.011    0.000    1.979    1.000
##     pre_value         0.941    0.077   12.158    0.000    1.000    1.000
##    .post_value        0.801    0.100    8.029    0.000    0.592    0.592
##     female            0.225    0.012   18.682    0.000    0.225    1.000
##     urm               0.076    0.004   18.584    0.000    0.076    1.000
##     Best_MPS         24.371    1.618   15.067    0.000   24.371    1.000
##     second_tertile    0.216    0.018   11.673    0.000    0.216    1.000
##     third_tertile     0.219    0.019   11.701    0.000    0.219    1.000
##   cfi   tli rmsea  srmr 
## 0.985 0.980 0.029 0.042
## Warning in lavaan::lavaan(model = TE_Cost_1, data = d, missing = "ML.x", :
## lavaan WARNING: syntax contains parameters involving exogenous covariates;
## switching to fixed.x = FALSE
## lavaan 0.6-7 ended normally after 81 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         60
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        45
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                               177.570
##   Degrees of freedom                                92
##   P-value (Chi-square)                           0.000
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_te_cost =~                                                        
##     pre_cost_te_1     1.000                               1.193    0.848
##     pre_cost_te_2     0.972    0.039   25.069    0.000    1.160    0.803
##     pre_cost_te_3     0.974    0.034   28.283    0.000    1.162    0.857
##     pre_cost_te_4     0.969    0.037   26.009    0.000    1.156    0.824
##     pre_cost_te_5     0.992    0.039   25.643    0.000    1.183    0.818
##   post_te_cost =~                                                       
##     post_cost_te_1    1.000                               1.339    0.864
##     post_cost_te_2    0.953    0.043   22.267    0.000    1.275    0.791
##     post_cost_te_3    1.052    0.039   27.160    0.000    1.408    0.877
##     post_cost_te_4    1.010    0.039   26.046    0.000    1.352    0.865
##     post_cost_te_5    0.992    0.038   25.854    0.000    1.327    0.867
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_te_cost ~                                                        
##     female            0.136    0.109    1.255    0.210    0.102    0.048
##     urm              -0.200    0.196   -1.020    0.308   -0.149   -0.041
##     Best_MPS         -0.038    0.013   -2.852    0.004   -0.028   -0.141
##     pre_te_cost       0.291    0.065    4.475    0.000    0.259    0.259
##     eoc_cost_te_vg    0.455    0.060    7.535    0.000    0.340    0.486
##     second_tertile    0.068    0.185    0.368    0.713    0.051    0.024
##     third_tertile    -0.305    0.178   -1.714    0.087   -0.228   -0.107
## 
## Covariances:
##                     Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_te_cost ~~                                                         
##     eoc_cost_te_vg     0.999    0.104    9.644    0.000    0.837    0.586
##   female ~~                                                              
##     urm                0.006    0.005    1.273    0.203    0.006    0.048
##     Best_MPS           0.020    0.107    0.183    0.855    0.020    0.008
##     second_tertile     0.002    0.013    0.115    0.909    0.002    0.007
##     third_tertile      0.039    0.013    2.894    0.004    0.039    0.175
##   urm ~~                                                                 
##     Best_MPS          -0.223    0.059   -3.780    0.000   -0.223   -0.164
##     second_tertile     0.001    0.007    0.085    0.933    0.001    0.005
##     third_tertile     -0.010    0.007   -1.380    0.167   -0.010   -0.075
##   Best_MPS ~~                                                            
##     second_tertile     0.164    0.157    1.043    0.297    0.164    0.071
##     third_tertile     -0.107    0.165   -0.648    0.517   -0.107   -0.046
##   second_tertile ~~                                                      
##     third_tertile     -0.103    0.015   -7.051    0.000   -0.103   -0.471
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_te_1     3.282    0.054   61.075    0.000    3.282    2.331
##    .pre_cost_te_2     3.433    0.055   62.352    0.000    3.433    2.379
##    .pre_cost_te_3     3.241    0.052   62.590    0.000    3.241    2.390
##    .pre_cost_te_4     3.385    0.054   63.210    0.000    3.385    2.413
##    .pre_cost_te_5     3.257    0.055   59.026    0.000    3.257    2.252
##    .post_cost_te_1    2.814    0.370    7.596    0.000    2.814    1.816
##    .post_cost_te_2    2.909    0.354    8.205    0.000    2.909    1.803
##    .post_cost_te_3    2.765    0.389    7.104    0.000    2.765    1.723
##    .post_cost_te_4    2.787    0.374    7.450    0.000    2.787    1.783
##    .post_cost_te_5    2.822    0.367    7.681    0.000    2.822    1.843
##     female            0.342    0.018   19.064    0.000    0.342    0.722
##     urm               0.083    0.010    7.898    0.000    0.083    0.300
##     Best_MPS         20.012    0.234   85.674    0.000   20.012    4.051
##     eoc_cost_te_vg    3.101    0.076   40.868    0.000    3.101    2.169
##     second_tertile    0.319    0.028   11.297    0.000    0.319    0.686
##     third_tertile     0.325    0.028   11.611    0.000    0.325    0.695
##     pre_te_cost       0.000                               0.000    0.000
##    .post_te_cost      0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_te_1     0.558    0.039   14.198    0.000    0.558    0.282
##    .pre_cost_te_2     0.738    0.048   15.426    0.000    0.738    0.354
##    .pre_cost_te_3     0.488    0.035   13.761    0.000    0.488    0.265
##    .pre_cost_te_4     0.632    0.042   14.962    0.000    0.632    0.321
##    .pre_cost_te_5     0.690    0.046   14.998    0.000    0.690    0.330
##    .post_cost_te_1    0.608    0.049   12.461    0.000    0.608    0.253
##    .post_cost_te_2    0.976    0.069   14.069    0.000    0.976    0.375
##    .post_cost_te_3    0.593    0.049   12.053    0.000    0.593    0.230
##    .post_cost_te_4    0.616    0.049   12.594    0.000    0.616    0.252
##    .post_cost_te_5    0.582    0.047   12.385    0.000    0.582    0.248
##     eoc_cost_te_vg    2.043    0.167   12.231    0.000    2.043    1.000
##     pre_te_cost       1.423    0.106   13.448    0.000    1.000    1.000
##    .post_te_cost      0.928    0.096    9.660    0.000    0.518    0.518
##     female            0.225    0.012   18.682    0.000    0.225    1.000
##     urm               0.076    0.004   18.584    0.000    0.076    1.000
##     Best_MPS         24.402    1.621   15.049    0.000   24.402    1.000
##     second_tertile    0.216    0.018   11.689    0.000    0.216    1.000
##     third_tertile     0.219    0.019   11.707    0.000    0.219    1.000
##   cfi   tli rmsea  srmr 
## 0.982 0.978 0.037 0.038
## Warning in lavaan::lavaan(model = OE_Cost_1, data = d, missing = "ML.x", :
## lavaan WARNING: syntax contains parameters involving exogenous covariates;
## switching to fixed.x = FALSE
## lavaan 0.6-7 ended normally after 81 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         54
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        37
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                97.732
##   Degrees of freedom                                65
##   P-value (Chi-square)                           0.005
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_oe_cost =~                                                        
##     pre_cost_oe_1     1.000                               1.068    0.818
##     pre_cost_oe_2     1.000    0.043   23.205    0.000    1.069    0.814
##     pre_cost_oe_3     1.001    0.041   24.210    0.000    1.069    0.832
##     pre_cost_oe_4     0.966    0.043   22.430    0.000    1.032    0.789
##   post_oe_cost =~                                                       
##     post_cost_oe_1    1.000                               1.224    0.862
##     post_cost_oe_2    1.087    0.043   25.106    0.000    1.330    0.869
##     post_cost_oe_3    0.957    0.044   21.759    0.000    1.172    0.795
##     post_cost_oe_4    1.028    0.041   24.862    0.000    1.258    0.867
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_oe_cost ~                                                        
##     female            0.130    0.103    1.265    0.206    0.107    0.051
##     urm              -0.474    0.187   -2.538    0.011   -0.387   -0.107
##     Best_MPS         -0.035    0.012   -2.834    0.005   -0.028   -0.141
##     pre_oe_cost       0.265    0.068    3.887    0.000    0.232    0.232
##     eoc_cost_oe_vg    0.469    0.063    7.451    0.000    0.383    0.493
##     second_tertile   -0.191    0.171   -1.119    0.263   -0.156   -0.073
##     third_tertile    -0.521    0.165   -3.155    0.002   -0.425   -0.199
## 
## Covariances:
##                     Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_oe_cost ~~                                                         
##     eoc_cost_oe_vg     0.762    0.087    8.803    0.000    0.713    0.553
##   female ~~                                                              
##     urm                0.006    0.005    1.276    0.202    0.006    0.049
##     Best_MPS           0.028    0.107    0.262    0.793    0.028    0.012
##     second_tertile     0.002    0.013    0.143    0.886    0.002    0.009
##     third_tertile      0.038    0.013    2.846    0.004    0.038    0.171
##   urm ~~                                                                 
##     Best_MPS          -0.226    0.059   -3.829    0.000   -0.226   -0.166
##     second_tertile     0.001    0.007    0.124    0.902    0.001    0.007
##     third_tertile     -0.010    0.007   -1.415    0.157   -0.010   -0.077
##   Best_MPS ~~                                                            
##     second_tertile     0.160    0.158    1.015    0.310    0.160    0.070
##     third_tertile     -0.114    0.164   -0.698    0.485   -0.114   -0.049
##   second_tertile ~~                                                      
##     third_tertile     -0.103    0.015   -7.063    0.000   -0.103   -0.472
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_oe_1     2.831    0.050   56.829    0.000    2.831    2.169
##    .pre_cost_oe_2     2.859    0.050   57.074    0.000    2.859    2.178
##    .pre_cost_oe_3     2.781    0.049   56.768    0.000    2.781    2.165
##    .pre_cost_oe_4     2.790    0.050   55.867    0.000    2.790    2.133
##    .post_cost_oe_1    2.711    0.329    8.233    0.000    2.711    1.908
##    .post_cost_oe_2    2.819    0.358    7.881    0.000    2.819    1.842
##    .post_cost_oe_3    2.827    0.316    8.946    0.000    2.827    1.919
##    .post_cost_oe_4    2.749    0.338    8.121    0.000    2.749    1.895
##     female            0.342    0.018   19.064    0.000    0.342    0.722
##     urm               0.083    0.010    7.899    0.000    0.083    0.300
##     Best_MPS         20.018    0.234   85.576    0.000   20.018    4.051
##     eoc_cost_oe_vg    2.769    0.070   39.840    0.000    2.769    2.149
##     second_tertile    0.316    0.028   11.208    0.000    0.316    0.680
##     third_tertile     0.331    0.028   11.867    0.000    0.331    0.707
##     pre_oe_cost       0.000                               0.000    0.000
##    .post_oe_cost      0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_oe_1     0.562    0.041   13.694    0.000    0.562    0.330
##    .pre_cost_oe_2     0.582    0.042   13.865    0.000    0.582    0.337
##    .pre_cost_oe_3     0.507    0.039   13.119    0.000    0.507    0.307
##    .pre_cost_oe_4     0.646    0.044   14.540    0.000    0.646    0.378
##    .post_cost_oe_1    0.521    0.045   11.631    0.000    0.521    0.258
##    .post_cost_oe_2    0.571    0.050   11.378    0.000    0.571    0.244
##    .post_cost_oe_3    0.798    0.059   13.451    0.000    0.798    0.368
##    .post_cost_oe_4    0.521    0.046   11.419    0.000    0.521    0.248
##     eoc_cost_oe_vg    1.661    0.136   12.184    0.000    1.661    1.000
##     pre_oe_cost       1.141    0.091   12.495    0.000    1.000    1.000
##    .post_oe_cost      0.788    0.085    9.314    0.000    0.525    0.525
##     female            0.225    0.012   18.682    0.000    0.225    1.000
##     urm               0.076    0.004   18.578    0.000    0.076    1.000
##     Best_MPS         24.414    1.623   15.042    0.000   24.414    1.000
##     second_tertile    0.216    0.018   11.684    0.000    0.216    1.000
##     third_tertile     0.219    0.019   11.731    0.000    0.219    1.000
##   cfi   tli rmsea  srmr 
## 0.990 0.987 0.027 0.030
## Warning in lavaan::lavaan(model = LV_Cost_1, data = d, missing = "ML.x", :
## lavaan WARNING: syntax contains parameters involving exogenous covariates;
## switching to fixed.x = FALSE
## lavaan 0.6-7 ended normally after 77 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         54
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        36
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                                72.679
##   Degrees of freedom                                65
##   P-value (Chi-square)                           0.240
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_lv_cost =~                                                        
##     pre_cost_lv_1     1.000                               1.035    0.774
##     pre_cost_lv_2     1.093    0.049   22.287    0.000    1.131    0.835
##     pre_cost_lv_3     1.156    0.051   22.811    0.000    1.197    0.862
##     pre_cost_lv_4     0.980    0.057   17.132    0.000    1.014    0.660
##   post_lv_cost =~                                                       
##     post_cost_lv_1    1.000                               1.192    0.818
##     post_cost_lv_2    1.047    0.048   21.702    0.000    1.248    0.851
##     post_cost_lv_3    1.101    0.050   22.133    0.000    1.312    0.855
##     post_cost_lv_4    1.093    0.054   20.140    0.000    1.303    0.805
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_lv_cost ~                                                        
##     female            0.054    0.102    0.524    0.600    0.045    0.021
##     urm              -0.490    0.185   -2.645    0.008   -0.411   -0.113
##     Best_MPS         -0.033    0.012   -2.682    0.007   -0.028   -0.136
##     pre_lv_cost       0.282    0.065    4.325    0.000    0.245    0.245
##     eoc_cost_lv_vg    0.426    0.056    7.639    0.000    0.357    0.490
##     second_tertile   -0.051    0.170   -0.297    0.766   -0.042   -0.020
##     third_tertile    -0.335    0.164   -2.048    0.041   -0.281   -0.132
## 
## Covariances:
##                     Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_lv_cost ~~                                                         
##     eoc_cost_lv_vg     0.697    0.090    7.778    0.000    0.673    0.491
##   female ~~                                                              
##     urm                0.006    0.005    1.281    0.200    0.006    0.049
##     Best_MPS           0.018    0.107    0.169    0.866    0.018    0.008
##     second_tertile     0.001    0.013    0.109    0.913    0.001    0.007
##     third_tertile      0.039    0.013    2.931    0.003    0.039    0.177
##   urm ~~                                                                 
##     Best_MPS          -0.224    0.059   -3.803    0.000   -0.224   -0.165
##     second_tertile     0.001    0.007    0.112    0.911    0.001    0.006
##     third_tertile     -0.010    0.007   -1.410    0.158   -0.010   -0.077
##   Best_MPS ~~                                                            
##     second_tertile     0.153    0.158    0.969    0.333    0.153    0.067
##     third_tertile     -0.116    0.165   -0.702    0.483   -0.116   -0.050
##   second_tertile ~~                                                      
##     third_tertile     -0.103    0.015   -7.048    0.000   -0.103   -0.471
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_lv_1     2.879    0.051   56.375    0.000    2.879    2.152
##    .pre_cost_lv_2     3.044    0.052   58.908    0.000    3.044    2.248
##    .pre_cost_lv_3     3.027    0.053   57.047    0.000    3.027    2.180
##    .pre_cost_lv_4     3.690    0.059   62.970    0.000    3.690    2.403
##    .post_cost_lv_1    2.748    0.325    8.468    0.000    2.748    1.886
##    .post_cost_lv_2    2.733    0.339    8.056    0.000    2.733    1.865
##    .post_cost_lv_3    2.786    0.356    7.817    0.000    2.786    1.815
##    .post_cost_lv_4    3.012    0.355    8.485    0.000    3.012    1.861
##     female            0.342    0.018   19.064    0.000    0.342    0.722
##     urm               0.083    0.010    7.898    0.000    0.083    0.300
##     Best_MPS         20.001    0.233   85.681    0.000   20.001    4.050
##     eoc_cost_lv_vg    2.781    0.075   37.003    0.000    2.781    2.027
##     second_tertile    0.317    0.028   11.237    0.000    0.317    0.682
##     third_tertile     0.327    0.028   11.659    0.000    0.327    0.697
##     pre_lv_cost       0.000                               0.000    0.000
##    .post_lv_cost      0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_lv_1     0.718    0.049   14.735    0.000    0.718    0.401
##    .pre_cost_lv_2     0.555    0.044   12.473    0.000    0.555    0.302
##    .pre_cost_lv_3     0.494    0.045   11.007    0.000    0.494    0.256
##    .pre_cost_lv_4     1.330    0.080   16.606    0.000    1.330    0.564
##    .post_cost_lv_1    0.704    0.056   12.474    0.000    0.704    0.331
##    .post_cost_lv_2    0.592    0.052   11.390    0.000    0.592    0.275
##    .post_cost_lv_3    0.635    0.057   11.210    0.000    0.635    0.269
##    .post_cost_lv_4    0.921    0.072   12.762    0.000    0.921    0.352
##     eoc_cost_lv_vg    1.882    0.155   12.128    0.000    1.882    1.000
##     pre_lv_cost       1.072    0.093   11.495    0.000    1.000    1.000
##    .post_lv_cost      0.773    0.087    8.869    0.000    0.545    0.545
##     female            0.225    0.012   18.682    0.000    0.225    1.000
##     urm               0.076    0.004   18.582    0.000    0.076    1.000
##     Best_MPS         24.388    1.620   15.058    0.000   24.388    1.000
##     second_tertile    0.216    0.018   11.685    0.000    0.216    1.000
##     third_tertile     0.220    0.019   11.698    0.000    0.220    1.000
##   cfi   tli rmsea  srmr 
## 0.997 0.997 0.013 0.033
## Warning in lavaan::lavaan(model = EM_Cost_1, data = d, missing = "ML.x", :
## lavaan WARNING: syntax contains parameters involving exogenous covariates;
## switching to fixed.x = FALSE
## lavaan 0.6-7 ended normally after 90 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         66
##                                                       
##   Number of observations                           698
##   Number of missing patterns                        41
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                               289.445
##   Degrees of freedom                               123
##   P-value (Chi-square)                           0.000
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_em_cost =~                                                        
##     pre_cost_em_1     1.000                               1.253    0.754
##     pre_cost_em_2     0.907    0.043   21.156    0.000    1.136    0.796
##     pre_cost_em_3     1.027    0.049   20.953    0.000    1.286    0.790
##     pre_cost_em_4     0.956    0.045   21.407    0.000    1.199    0.803
##     pre_cost_em_5     1.025    0.046   22.395    0.000    1.284    0.838
##     pre_cost_em_6     0.994    0.047   21.004    0.000    1.246    0.781
##   post_em_cost =~                                                       
##     post_cost_em_1    1.000                               1.408    0.773
##     post_cost_em_2    1.010    0.047   21.383    0.000    1.422    0.856
##     post_cost_em_3    1.088    0.051   21.230    0.000    1.531    0.852
##     post_cost_em_4    1.030    0.048   21.334    0.000    1.449    0.857
##     post_cost_em_5    1.059    0.048   21.984    0.000    1.490    0.870
##     post_cost_em_6    1.088    0.052   21.086    0.000    1.532    0.841
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   post_em_cost ~                                                        
##     female            0.172    0.111    1.555    0.120    0.122    0.058
##     urm              -0.291    0.197   -1.476    0.140   -0.207   -0.057
##     Best_MPS         -0.030    0.014   -2.155    0.031   -0.021   -0.105
##     pre_em_cost       0.228    0.060    3.821    0.000    0.203    0.203
##     eoc_cost_em_vg    0.529    0.052   10.095    0.000    0.376    0.600
##     second_tertile   -0.409    0.182   -2.249    0.025   -0.291   -0.135
##     third_tertile    -0.404    0.176   -2.292    0.022   -0.287   -0.134
## 
## Covariances:
##                     Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   pre_em_cost ~~                                                         
##     eoc_cost_em_vg     1.139    0.124    9.208    0.000    0.909    0.569
##   female ~~                                                              
##     urm                0.006    0.005    1.277    0.202    0.006    0.049
##     Best_MPS           0.018    0.107    0.163    0.870    0.018    0.007
##     second_tertile     0.001    0.013    0.068    0.946    0.001    0.004
##     third_tertile      0.037    0.013    2.765    0.006    0.037    0.168
##   urm ~~                                                                 
##     Best_MPS          -0.220    0.059   -3.723    0.000   -0.220   -0.162
##     second_tertile     0.001    0.007    0.184    0.854    0.001    0.010
##     third_tertile     -0.010    0.007   -1.429    0.153   -0.010   -0.078
##   Best_MPS ~~                                                            
##     second_tertile     0.171    0.157    1.092    0.275    0.171    0.075
##     third_tertile     -0.135    0.165   -0.818    0.414   -0.135   -0.058
##   second_tertile ~~                                                      
##     third_tertile     -0.103    0.015   -7.070    0.000   -0.103   -0.473
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_em_1     3.985    0.063   62.767    0.000    3.985    2.396
##    .pre_cost_em_2     3.400    0.054   62.417    0.000    3.400    2.382
##    .pre_cost_em_3     3.817    0.062   61.403    0.000    3.817    2.343
##    .pre_cost_em_4     3.453    0.057   60.631    0.000    3.453    2.313
##    .pre_cost_em_5     3.607    0.059   61.618    0.000    3.607    2.353
##    .pre_cost_em_6     3.741    0.061   61.404    0.000    3.741    2.344
##    .post_cost_em_1    3.258    0.372    8.761    0.000    3.258    1.789
##    .post_cost_em_2    2.613    0.374    6.992    0.000    2.613    1.573
##    .post_cost_em_3    2.827    0.403    7.016    0.000    2.827    1.573
##    .post_cost_em_4    2.720    0.381    7.142    0.000    2.720    1.609
##    .post_cost_em_5    2.796    0.391    7.150    0.000    2.796    1.632
##    .post_cost_em_6    2.942    0.403    7.304    0.000    2.942    1.617
##     female            0.342    0.018   19.064    0.000    0.342    0.722
##     urm               0.083    0.010    7.896    0.000    0.083    0.300
##     Best_MPS         20.006    0.234   85.447    0.000   20.006    4.050
##     eoc_cost_em_vg    3.222    0.083   38.745    0.000    3.222    2.018
##     second_tertile    0.312    0.028   11.064    0.000    0.312    0.672
##     third_tertile     0.326    0.028   11.600    0.000    0.326    0.697
##     pre_em_cost       0.000                               0.000    0.000
##    .post_em_cost      0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .pre_cost_em_1     1.195    0.074   16.140    0.000    1.195    0.432
##    .pre_cost_em_2     0.746    0.048   15.427    0.000    0.746    0.366
##    .pre_cost_em_3     0.999    0.064   15.590    0.000    0.999    0.376
##    .pre_cost_em_4     0.792    0.052   15.310    0.000    0.792    0.355
##    .pre_cost_em_5     0.700    0.049   14.330    0.000    0.700    0.298
##    .pre_cost_em_6     0.993    0.063   15.662    0.000    0.993    0.390
##    .post_cost_em_1    1.334    0.092   14.441    0.000    1.334    0.402
##    .post_cost_em_2    0.738    0.056   13.145    0.000    0.738    0.268
##    .post_cost_em_3    0.884    0.067   13.189    0.000    0.884    0.274
##    .post_cost_em_4    0.758    0.058   13.126    0.000    0.758    0.265
##    .post_cost_em_5    0.714    0.056   12.732    0.000    0.714    0.243
##    .post_cost_em_6    0.967    0.072   13.482    0.000    0.967    0.292
##     eoc_cost_em_vg    2.549    0.207   12.303    0.000    2.549    1.000
##     pre_em_cost       1.571    0.140   11.256    0.000    1.000    1.000
##    .post_em_cost      0.849    0.105    8.081    0.000    0.428    0.428
##     female            0.225    0.012   18.682    0.000    0.225    1.000
##     urm               0.076    0.004   18.584    0.000    0.076    1.000
##     Best_MPS         24.404    1.622   15.044    0.000   24.404    1.000
##     second_tertile    0.216    0.018   11.682    0.000    0.216    1.000
##     third_tertile     0.219    0.019   11.719    0.000    0.219    1.000
##   cfi   tli rmsea  srmr 
## 0.969 0.964 0.044 0.055

CFA for pre and post

## lavaan 0.6-7 ended normally after 70 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         81
##                                                       
##                                                   Used       Total
##   Number of observations                           643         698
##                                                                   
## Model Test User Model:
##                                                       
##   Test statistic                               910.555
##   Degrees of freedom                               384
##   P-value (Chi-square)                           0.000
## 
## Model Test Baseline Model:
## 
##   Test statistic                             15516.106
##   Degrees of freedom                               435
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.965
##   Tucker-Lewis Index (TLI)                       0.960
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -26104.246
##   Loglikelihood unrestricted model (H1)             NA
##                                                       
##   Akaike (AIC)                               52370.492
##   Bayesian (BIC)                             52732.249
##   Sample-size adjusted Bayesian (BIC)        52475.079
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.046
##   90 Percent confidence interval - lower         0.042
##   90 Percent confidence interval - upper         0.050
##   P-value RMSEA <= 0.05                          0.948
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.034
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Expected
##   Information saturated (h1) model          Structured
## 
## Latent Variables:
##                       Estimate  Std.Err  z-value  P(>|z|)
##   pre_interest =~                                        
##     pre_int_1            1.000                           
##     pre_int_2            0.982    0.024   40.445    0.000
##     pre_int_3            0.954    0.028   34.389    0.000
##     pre_int_4            0.867    0.029   29.824    0.000
##     pre_int_5            0.988    0.023   43.866    0.000
##   pre_expectancies =~                                    
##     pre_exp_1            1.000                           
##     pre_exp_2            0.957    0.048   19.790    0.000
##     pre_exp_3            1.120    0.056   19.927    0.000
##   pre_value =~                                           
##     pre_val_1            1.000                           
##     pre_val_2            1.046    0.049   21.374    0.000
##     pre_val_3            1.032    0.050   20.506    0.000
##   pre_te_cost =~                                         
##     pre_cost_te_1        1.000                           
##     pre_cost_te_2        0.959    0.039   24.367    0.000
##     pre_cost_te_3        0.983    0.035   28.328    0.000
##     pre_cost_te_4        0.973    0.037   26.489    0.000
##     pre_cost_te_5        0.984    0.039   25.456    0.000
##   pre_oe_cost =~                                         
##     pre_cost_oe_1        1.000                           
##     pre_cost_oe_2        1.015    0.044   23.328    0.000
##     pre_cost_oe_3        1.011    0.042   24.037    0.000
##     pre_cost_oe_4        0.976    0.044   22.285    0.000
##   pre_lv_cost =~                                         
##     pre_cost_lv_1        1.000                           
##     pre_cost_lv_2        1.013    0.042   23.965    0.000
##     pre_cost_lv_3        1.054    0.043   24.330    0.000
##     pre_cost_lv_4        0.903    0.052   17.292    0.000
##   pre_em_cost =~                                         
##     pre_cost_em_1        1.000                           
##     pre_cost_em_2        0.967    0.046   21.210    0.000
##     pre_cost_em_3        1.021    0.052   19.476    0.000
##     pre_cost_em_4        0.980    0.048   20.578    0.000
##     pre_cost_em_5        1.053    0.049   21.582    0.000
##     pre_cost_em_6        0.987    0.051   19.235    0.000
## 
## Covariances:
##                       Estimate  Std.Err  z-value  P(>|z|)
##   pre_interest ~~                                        
##     pre_expectancs       0.691    0.064   10.867    0.000
##     pre_value            0.860    0.069   12.415    0.000
##     pre_te_cost         -0.482    0.073   -6.585    0.000
##     pre_oe_cost         -0.380    0.065   -5.825    0.000
##     pre_lv_cost         -0.351    0.067   -5.267    0.000
##     pre_em_cost         -0.598    0.078   -7.638    0.000
##   pre_expectancies ~~                                    
##     pre_value            0.521    0.047   11.107    0.000
##     pre_te_cost         -0.520    0.054   -9.579    0.000
##     pre_oe_cost         -0.463    0.049   -9.435    0.000
##     pre_lv_cost         -0.411    0.048   -8.502    0.000
##     pre_em_cost         -0.542    0.058   -9.387    0.000
##   pre_value ~~                                           
##     pre_te_cost         -0.296    0.050   -5.884    0.000
##     pre_oe_cost         -0.302    0.046   -6.559    0.000
##     pre_lv_cost         -0.229    0.046   -4.986    0.000
##     pre_em_cost         -0.249    0.051   -4.874    0.000
##   pre_te_cost ~~                                         
##     pre_oe_cost          0.996    0.076   13.095    0.000
##     pre_lv_cost          1.147    0.082   13.948    0.000
##     pre_em_cost          1.287    0.097   13.228    0.000
##   pre_oe_cost ~~                                         
##     pre_lv_cost          0.954    0.072   13.218    0.000
##     pre_em_cost          0.875    0.077   11.418    0.000
##   pre_lv_cost ~~                                         
##     pre_em_cost          1.101    0.087   12.679    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .pre_int_1         0.316    0.024   13.221    0.000
##    .pre_int_2         0.367    0.026   14.038    0.000
##    .pre_int_3         0.601    0.038   15.719    0.000
##    .pre_int_4         0.744    0.045   16.466    0.000
##    .pre_int_5         0.261    0.021   12.381    0.000
##    .pre_exp_1         0.557    0.039   14.346    0.000
##    .pre_exp_2         0.335    0.027   12.375    0.000
##    .pre_exp_3         0.436    0.036   12.091    0.000
##    .pre_val_1         0.448    0.034   13.052    0.000
##    .pre_val_2         0.436    0.035   12.437    0.000
##    .pre_val_3         0.531    0.039   13.559    0.000
##    .pre_cost_te_1     0.562    0.037   15.028    0.000
##    .pre_cost_te_2     0.797    0.050   16.063    0.000
##    .pre_cost_te_3     0.468    0.032   14.550    0.000
##    .pre_cost_te_4     0.607    0.039   15.393    0.000
##    .pre_cost_te_5     0.721    0.046   15.750    0.000
##    .pre_cost_oe_1     0.566    0.040   14.295    0.000
##    .pre_cost_oe_2     0.582    0.041   14.293    0.000
##    .pre_cost_oe_3     0.504    0.037   13.742    0.000
##    .pre_cost_oe_4     0.652    0.044   14.934    0.000
##    .pre_cost_lv_1     0.572    0.039   14.592    0.000
##    .pre_cost_lv_2     0.595    0.041   14.640    0.000
##    .pre_cost_lv_3     0.604    0.042   14.404    0.000
##    .pre_cost_lv_4     1.382    0.082   16.842    0.000
##    .pre_cost_em_1     1.253    0.076   16.388    0.000
##    .pre_cost_em_2     0.642    0.043   15.090    0.000
##    .pre_cost_em_3     1.100    0.068   16.097    0.000
##    .pre_cost_em_4     0.779    0.050   15.533    0.000
##    .pre_cost_em_5     0.684    0.046   14.769    0.000
##    .pre_cost_em_6     1.087    0.067   16.196    0.000
##     pre_interest      1.910    0.124   15.409    0.000
##     pre_expectancs    0.722    0.068   10.565    0.000
##     pre_value         0.797    0.069   11.560    0.000
##     pre_te_cost       1.429    0.108   13.175    0.000
##     pre_oe_cost       1.116    0.092   12.196    0.000
##     pre_lv_cost       1.167    0.094   12.363    0.000
##     pre_em_cost       1.483    0.139   10.657    0.000
## lavaan 0.6-7 ended normally after 73 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         81
##                                                       
##                                                   Used       Total
##   Number of observations                           487         698
##                                                                   
## Model Test User Model:
##                                                       
##   Test statistic                               846.564
##   Degrees of freedom                               384
##   P-value (Chi-square)                           0.000
## 
## Model Test Baseline Model:
## 
##   Test statistic                             13917.278
##   Degrees of freedom                               435
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.966
##   Tucker-Lewis Index (TLI)                       0.961
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -20570.635
##   Loglikelihood unrestricted model (H1)             NA
##                                                       
##   Akaike (AIC)                               41303.270
##   Bayesian (BIC)                             41642.520
##   Sample-size adjusted Bayesian (BIC)        41385.429
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.050
##   90 Percent confidence interval - lower         0.045
##   90 Percent confidence interval - upper         0.054
##   P-value RMSEA <= 0.05                          0.531
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.035
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Expected
##   Information saturated (h1) model          Structured
## 
## Latent Variables:
##                        Estimate  Std.Err  z-value  P(>|z|)
##   post_interest =~                                        
##     post_int_1            1.000                           
##     post_int_2            1.016    0.028   36.178    0.000
##     post_int_3            1.014    0.030   33.946    0.000
##     post_int_4            0.927    0.033   28.134    0.000
##     post_int_5            1.013    0.027   37.200    0.000
##   post_expectancies =~                                    
##     post_exp_1            1.000                           
##     post_exp_2            1.043    0.062   16.787    0.000
##     post_exp_3            1.118    0.065   17.145    0.000
##   post_value =~                                           
##     post_val_1            1.000                           
##     post_val_2            1.011    0.055   18.437    0.000
##     post_val_3            1.069    0.055   19.292    0.000
##   post_te_cost =~                                         
##     post_cost_te_1        1.000                           
##     post_cost_te_2        0.938    0.041   22.854    0.000
##     post_cost_te_3        1.043    0.037   28.351    0.000
##     post_cost_te_4        0.985    0.036   27.093    0.000
##     post_cost_te_5        0.945    0.037   25.799    0.000
##   post_oe_cost =~                                         
##     post_cost_oe_1        1.000                           
##     post_cost_oe_2        1.097    0.042   25.809    0.000
##     post_cost_oe_3        0.960    0.044   21.765    0.000
##     post_cost_oe_4        1.006    0.041   24.641    0.000
##   post_lv_cost =~                                         
##     post_cost_lv_1        1.000                           
##     post_cost_lv_2        1.011    0.045   22.325    0.000
##     post_cost_lv_3        1.085    0.047   23.197    0.000
##     post_cost_lv_4        1.076    0.052   20.872    0.000
##   post_em_cost =~                                         
##     post_cost_em_1        1.000                           
##     post_cost_em_2        1.036    0.049   21.352    0.000
##     post_cost_em_3        1.081    0.053   20.446    0.000
##     post_cost_em_4        1.035    0.049   21.043    0.000
##     post_cost_em_5        1.065    0.050   21.489    0.000
##     post_cost_em_6        1.077    0.054   19.992    0.000
## 
## Covariances:
##                        Estimate  Std.Err  z-value  P(>|z|)
##   post_interest ~~                                        
##     post_expectncs        0.913    0.094    9.701    0.000
##     post_value            1.214    0.108   11.207    0.000
##     post_te_cost         -0.732    0.105   -6.968    0.000
##     post_oe_cost         -0.427    0.091   -4.666    0.000
##     post_lv_cost         -0.552    0.092   -6.005    0.000
##     post_em_cost         -0.914    0.115   -7.962    0.000
##   post_expectancies ~~                                    
##     post_value            0.820    0.080   10.246    0.000
##     post_te_cost         -0.739    0.084   -8.823    0.000
##     post_oe_cost         -0.611    0.074   -8.207    0.000
##     post_lv_cost         -0.632    0.074   -8.501    0.000
##     post_em_cost         -0.809    0.091   -8.881    0.000
##   post_value ~~                                           
##     post_te_cost         -0.557    0.082   -6.775    0.000
##     post_oe_cost         -0.438    0.073   -5.988    0.000
##     post_lv_cost         -0.472    0.073   -6.474    0.000
##     post_em_cost         -0.593    0.087   -6.819    0.000
##   post_te_cost ~~                                         
##     post_oe_cost          1.379    0.112   12.292    0.000
##     post_lv_cost          1.528    0.118   12.927    0.000
##     post_em_cost          1.692    0.140   12.063    0.000
##   post_oe_cost ~~                                         
##     post_lv_cost          1.263    0.103   12.243    0.000
##     post_em_cost          1.194    0.113   10.573    0.000
##   post_lv_cost ~~                                         
##     post_em_cost          1.362    0.120   11.334    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .post_int_1        0.402    0.033   12.192    0.000
##    .post_int_2        0.394    0.033   12.007    0.000
##    .post_int_3        0.507    0.040   12.834    0.000
##    .post_int_4        0.785    0.056   14.125    0.000
##    .post_int_5        0.346    0.030   11.522    0.000
##    .post_exp_1        0.663    0.057   11.654    0.000
##    .post_exp_2        0.736    0.063   11.727    0.000
##    .post_exp_3        0.753    0.067   11.247    0.000
##    .post_val_1        0.702    0.058   12.026    0.000
##    .post_val_2        0.680    0.058   11.823    0.000
##    .post_val_3        0.591    0.055   10.709    0.000
##    .post_cost_te_1    0.534    0.041   13.146    0.000
##    .post_cost_te_2    0.967    0.067   14.433    0.000
##    .post_cost_te_3    0.565    0.043   13.074    0.000
##    .post_cost_te_4    0.603    0.045   13.505    0.000
##    .post_cost_te_5    0.664    0.048   13.857    0.000
##    .post_cost_oe_1    0.528    0.043   12.228    0.000
##    .post_cost_oe_2    0.516    0.045   11.443    0.000
##    .post_cost_oe_3    0.786    0.058   13.537    0.000
##    .post_cost_oe_4    0.539    0.044   12.261    0.000
##    .post_cost_lv_1    0.624    0.047   13.347    0.000
##    .post_cost_lv_2    0.656    0.049   13.415    0.000
##    .post_cost_lv_3    0.642    0.049   12.997    0.000
##    .post_cost_lv_4    0.959    0.069   13.935    0.000
##    .post_cost_em_1    1.359    0.094   14.398    0.000
##    .post_cost_em_2    0.658    0.051   12.909    0.000
##    .post_cost_em_3    0.930    0.069   13.534    0.000
##    .post_cost_em_4    0.721    0.055   13.151    0.000
##    .post_cost_em_5    0.667    0.052   12.790    0.000
##    .post_cost_em_6    1.040    0.076   13.769    0.000
##     post_interest     2.250    0.169   13.293    0.000
##     post_expectncs    1.011    0.106    9.581    0.000
##     post_value        1.182    0.118   10.012    0.000
##     post_te_cost      1.849    0.150   12.291    0.000
##     post_oe_cost      1.491    0.128   11.675    0.000
##     post_lv_cost      1.402    0.126   11.140    0.000
##     post_em_cost      1.972    0.198    9.946    0.000
## 
##   1   2   3   4 
##  67 110  95 426
## 
##    1    2    3    4    5 <NA> 
##  565   93   24    6    5    5
##    
##       1   2   3
##   0   6 391  28
##   1 215  55   2
##    
##       1   2   3
##   0   4 283  20
##   1 201  11   1
## 
##     MTH 
##  34 664

Female by condition

##    
##       0   1
##   0 277 148
##   1 182  91
##    
##     Asian (non-Hispanic) Black or African American  (non-Hispanic)
##   0                   37                                        12
##   1                   19                                        15
##    
##     Hispanic Ethnicity International Not Reported
##   0                 17            62            6
##   1                 13            48            1
##    
##     Two or more races (non-Hispanic) White (non-Hispanic)
##   0                               14                  277
##   1                                4                  173
## 
##   0   1 
## 459 239

Proportions and means by group for Pre Survey eoc_participate

## `summarise()` ungrouping output (override with `.groups` argument)
participate_eoc prop_female mean_pre_interest mean_pre_confidence mean_val mean_stem_int mean_cost_te mean_cost_oe mean_cost_lv mean_cost_em
0 0.348 4.840 4.922 5.563 5.874 3.328 2.892 3.152 3.671
1 0.333 5.097 4.985 5.820 5.977 3.308 2.693 3.170 3.655

Proportions and means by group for Post Survey eoc_participate

## `summarise()` ungrouping output (override with `.groups` argument)
participate_eoc prop_female mean_Grade mean_post_interest mean_post_confidence mean_val mean_stem_int mean_cost_te mean_cost_oe mean_cost_lv mean_cost_em
0 0.348 2.813 4.592 5.059 5.179 5.632 3.484 3.158 3.268 3.875
1 0.333 2.922 4.752 5.268 5.423 5.770 3.254 3.026 3.081 3.548