ASDQII Please select from the list below how true or untrue each item is / for you.

  1. I get good grades in ENGLISH LANGUAGE classes. (English)
  2. Work in ENGLISH LANGUAGE classes is easy for me. (English)
  3. I learn things quickly in ENGLISH LANGUAGE classes. P (English)
  4. Compared to others my age I am good at ENGLISH LANGUAGE classes. (English)
  5. I have always done well in ENGLISH LANGUAGE classes. P (English)

  6. I learn things quickly in MATHEMATICS classes. (Math)
  7. I have always done well in MATHEMATICS classes. (Math)
  8. Compared to others my age I am good at MATHEMATICS classes. (Math)
  9. Work in MATHEMATICS classes is easy for me. (Math)
  10. I get good grades in MATHEMATICS classes. (Math)

  11. I get good grades in SCIENCE classes. (Science)
  12. Work in SCIENCE classes is easy for me. (Science)
  13. I learn things quickly in SCIENCE classes.(Science)
  14. Compared to others my age I am good at SCIENCE classes. (Science)
  15. I have always done well in SCIENCE classes. (Science)

  16. I have always done well in SCHOOL SUBJECTS classes. (all subjects)
  17. Compared to others my age I am good at SCHOOL SUBJECTS classes. (all subjects)
  18. I get good grades in SCHOOL SUBJECTS classes. (all subjects)
  19. Work in SCHOOL SUBJECTS classes is easy for me. (all subjects)
  20. I learn things quickly in SCHOOL SUBJECTS classes. (all subjects)

library(lavaan)
## This is lavaan 0.5-18
## lavaan is BETA software! Please report any bugs.
library(semPlot)
library(dplyr)
## 
## Attaching package: 'dplyr'
## 
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## 
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(GPArotation)
library(psych)
library(car)
## 
## Attaching package: 'car'
## 
## The following object is masked from 'package:psych':
## 
##     logit
library(ggplot2)
## 
## Attaching package: 'ggplot2'
## 
## The following object is masked from 'package:psych':
## 
##     %+%
library(GGally)
## 
## Attaching package: 'GGally'
## 
## The following object is masked from 'package:dplyr':
## 
##     nasa

loadthedata

data <- read.csv("~/Psychometric_study_data/allsurveysYT1.csv")
data<-tbl_df(data)
ASDQII<-select(data, ASDQII_1, ASDQII_2, ASDQII_3, ASDQII_4, ASDQII_5, ASDQII_6, ASDQII_7, ASDQII_8, ASDQII_9, ASDQII_10, ASDQII_11,ASDQII_12, ASDQII_13, ASDQII_14, ASDQII_15, ASDQII_16, ASDQII_17, ASDQII_18, ASDQII_19, ASDQII_20)
ASDQII<-tbl_df(ASDQII)
ASDQII
## Source: local data frame [670 x 20]
## 
##    ASDQII_1 ASDQII_2 ASDQII_3 ASDQII_4 ASDQII_5 ASDQII_6 ASDQII_7 ASDQII_8
## 1         6        6        5        6        6        5        6        5
## 2         5        5        5        4        5        4        4        4
## 3         4        3        5        3        4        6        3        6
## 4         5        5        5        5        5        6        6        6
## 5         5        4        5        5        4        2        2        4
## 6         5        5        5        5        5        5        6        5
## 7         5        3        5        3        3        5        3        5
## 8         4        4        3        4        4        6        6        5
## 9         6        5        5        5        5        5        6        5
## 10        5        1        2        2        1        3        2        2
## ..      ...      ...      ...      ...      ...      ...      ...      ...
## Variables not shown: ASDQII_9 (int), ASDQII_10 (int), ASDQII_11 (int),
##   ASDQII_12 (int), ASDQII_13 (int), ASDQII_14 (int), ASDQII_15 (int),
##   ASDQII_16 (int), ASDQII_17 (int), ASDQII_18 (int), ASDQII_19 (int),
##   ASDQII_20 (int)

create plots

#ggpairs(ASDQII, columns = 1:15, title="Big 5 Marsh" )

create the models

four.model= ' English  =~ ASDQII_1 +  ASDQII_2  + ASDQII_3 + ASDQII_4 + ASDQII_5   
              Math =~   ASDQII_6 + ASDQII_7 + ASDQII_8 + ASDQII_9  +ASDQII_10       
              Science =~      ASDQII_11 + ASDQII_12  +ASDQII_13 +  ASDQII_14 + ASDQII_15 
              All Subjects =~  ASDQII_16 + ASDQII_17 + ASDQII_18 + ASDQII_19 + ASDQII_20' 

one.model= 'ASDQII =~ ASDQII_1 +  ASDQII_2  + ASDQII_3 + ASDQII_4 + ASDQII_5 + ASDQII_6 + ASDQII_7 + ASDQII_8 + ASDQII_9 + ASDQII_10 + ASDQII_11 + ASDQII_12 + ASDQII_13 +  ASDQII_14 + ASDQII_15 + ASDQII_16 + ASDQII_17 + ASDQII_18 + ASDQII_19 + ASDQII_20 '

run the models

four.fit=cfa(four.model, data=ASDQII, missing = "fiml")
## Warning in lav_data_full(data = data, group = group, group.label = group.label, : lavaan WARNING: some cases are empty and will be removed:
##   17 22 23 24 28 29 44 45 46 50 57 62 63 86 104 117 118 154 160 168 174 177 181 205 209 226 238 245 246 261 294 295 298 299 302 379 391 393 394 397 404 412 473 474 475 479 480 482 483 487 489 491 494 497 507 509 511 518 519 521 522 523 525 526 530 532 533 534 536 537 540 544
one.fit=cfa(one.model, data=ASDQII, missing = "fiml")
## Warning in lav_data_full(data = data, group = group, group.label = group.label, : lavaan WARNING: some cases are empty and will be removed:
##   17 22 23 24 28 29 44 45 46 50 57 62 63 86 104 117 118 154 160 168 174 177 181 205 209 226 238 245 246 261 294 295 298 299 302 379 391 393 394 397 404 412 473 474 475 479 480 482 483 487 489 491 494 497 507 509 511 518 519 521 522 523 525 526 530 532 533 534 536 537 540 544

create pictures

semPaths(four.fit, whatLabels = "std", layout = "tree")

semPaths(one.fit, whatLabels = "std", layout = "tree")

#summaries

summary(four.fit, standardized = TRUE, rsquare=TRUE)
## lavaan (0.5-18) converged normally after 103 iterations
## 
##                                                   Used       Total
##   Number of observations                           598         670
## 
##   Number of missing patterns                         2
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic              564.361
##   Degrees of freedom                               164
##   P-value (Chi-square)                           0.000
## 
## Parameter estimates:
## 
##   Information                                 Observed
##   Standard Errors                             Standard
## 
##                    Estimate  Std.err  Z-value  P(>|z|)   Std.lv  Std.all
## Latent variables:
##   English =~
##     ASDQII_1          1.000                               1.035    0.869
##     ASDQII_2          1.018    0.041   24.651    0.000    1.054    0.850
##     ASDQII_3          1.000    0.040   25.160    0.000    1.035    0.863
##     ASDQII_4          1.017    0.042   24.376    0.000    1.053    0.848
##     ASDQII_5          1.034    0.041   25.132    0.000    1.070    0.854
##   Math =~
##     ASDQII_6          1.000                               1.372    0.898
##     ASDQII_7          1.031    0.029   35.686    0.000    1.415    0.911
##     ASDQII_8          1.022    0.027   37.577    0.000    1.403    0.931
##     ASDQII_9          1.025    0.028   36.259    0.000    1.407    0.917
##     ASDQII_10         0.959    0.028   34.776    0.000    1.317    0.904
##   Science =~
##     ASDQII_11         1.000                               1.168    0.909
##     ASDQII_12         1.027    0.030   34.807    0.000    1.199    0.897
##     ASDQII_13         1.095    0.031   35.683    0.000    1.279    0.906
##     ASDQII_14         1.022    0.030   34.201    0.000    1.193    0.890
##     ASDQII_15         0.997    0.030   33.260    0.000    1.165    0.878
##   AllSubjects =~
##     ASDQII_16         1.000                               1.018    0.848
##     ASDQII_17         0.986    0.038   25.946    0.000    1.004    0.837
##     ASDQII_18         1.013    0.037   27.226    0.000    1.031    0.858
##     ASDQII_19         0.945    0.038   24.848    0.000    0.961    0.818
##     ASDQII_20         1.026    0.039   26.552    0.000    1.044    0.851
## 
## Covariances:
##   English ~~
##     Math              0.351    0.068    5.202    0.000    0.247    0.247
##     Science           0.567    0.063    9.051    0.000    0.469    0.469
##     AllSubjects       0.730    0.063   11.626    0.000    0.693    0.693
##   Math ~~
##     Science           0.914    0.081   11.234    0.000    0.570    0.570
##     AllSubjects       0.986    0.079   12.558    0.000    0.706    0.706
##   Science ~~
##     AllSubjects       0.883    0.068   12.942    0.000    0.743    0.743
## 
## Intercepts:
##     ASDQII_1          4.647    0.053   88.304    0.000    4.647    3.902
##     ASDQII_2          4.456    0.055   81.181    0.000    4.456    3.594
##     ASDQII_3          4.556    0.053   85.950    0.000    4.556    3.800
##     ASDQII_4          4.509    0.055   81.995    0.000    4.509    3.631
##     ASDQII_5          4.535    0.055   81.869    0.000    4.535    3.623
##     ASDQII_6          4.122    0.063   65.925    0.000    4.122    2.696
##     ASDQII_7          4.161    0.064   65.506    0.000    4.161    2.679
##     ASDQII_8          4.119    0.062   66.823    0.000    4.119    2.733
##     ASDQII_9          4.035    0.063   64.301    0.000    4.035    2.629
##     ASDQII_10         4.291    0.060   72.022    0.000    4.291    2.945
##     ASDQII_11         4.356    0.053   82.913    0.000    4.356    3.391
##     ASDQII_12         4.189    0.055   76.593    0.000    4.189    3.132
##     ASDQII_13         4.227    0.058   73.250    0.000    4.227    2.995
##     ASDQII_14         4.236    0.055   77.301    0.000    4.236    3.161
##     ASDQII_15         4.246    0.054   78.249    0.000    4.246    3.200
##     ASDQII_16         4.465    0.049   91.006    0.000    4.465    3.722
##     ASDQII_17         4.460    0.049   90.916    0.000    4.460    3.718
##     ASDQII_18         4.555    0.049   92.690    0.000    4.555    3.790
##     ASDQII_19         4.356    0.048   90.687    0.000    4.356    3.708
##     ASDQII_20         4.445    0.050   88.616    0.000    4.445    3.624
##     English           0.000                               0.000    0.000
##     Math              0.000                               0.000    0.000
##     Science           0.000                               0.000    0.000
##     AllSubjects       0.000                               0.000    0.000
## 
## Variances:
##     ASDQII_1          0.348    0.029                      0.348    0.245
##     ASDQII_2          0.427    0.034                      0.427    0.278
##     ASDQII_3          0.366    0.030                      0.366    0.255
##     ASDQII_4          0.434    0.034                      0.434    0.281
##     ASDQII_5          0.423    0.034                      0.423    0.270
##     ASDQII_6          0.455    0.031                      0.455    0.194
##     ASDQII_7          0.410    0.029                      0.410    0.170
##     ASDQII_8          0.304    0.024                      0.304    0.134
##     ASDQII_9          0.376    0.027                      0.376    0.160
##     ASDQII_10         0.389    0.027                      0.389    0.183
##     ASDQII_11         0.287    0.022                      0.287    0.174
##     ASDQII_12         0.350    0.025                      0.350    0.196
##     ASDQII_13         0.356    0.027                      0.356    0.179
##     ASDQII_14         0.373    0.026                      0.373    0.208
##     ASDQII_15         0.404    0.028                      0.404    0.230
##     ASDQII_16         0.403    0.028                      0.403    0.280
##     ASDQII_17         0.432    0.029                      0.432    0.300
##     ASDQII_18         0.380    0.027                      0.380    0.263
##     ASDQII_19         0.455    0.030                      0.455    0.330
##     ASDQII_20         0.414    0.029                      0.414    0.275
##     English           1.071    0.089                      1.000    1.000
##     Math              1.883    0.134                      1.000    1.000
##     Science           1.364    0.095                      1.000    1.000
##     AllSubjects       1.036    0.081                      1.000    1.000
## 
## R-Square:
## 
##     ASDQII_1          0.755
##     ASDQII_2          0.722
##     ASDQII_3          0.745
##     ASDQII_4          0.719
##     ASDQII_5          0.730
##     ASDQII_6          0.806
##     ASDQII_7          0.830
##     ASDQII_8          0.866
##     ASDQII_9          0.840
##     ASDQII_10         0.817
##     ASDQII_11         0.826
##     ASDQII_12         0.804
##     ASDQII_13         0.821
##     ASDQII_14         0.792
##     ASDQII_15         0.770
##     ASDQII_16         0.720
##     ASDQII_17         0.700
##     ASDQII_18         0.737
##     ASDQII_19         0.670
##     ASDQII_20         0.725
summary(one.fit, standardized = TRUE, rsquare=TRUE)
## lavaan (0.5-18) converged normally after  71 iterations
## 
##                                                   Used       Total
##   Number of observations                           598         670
## 
##   Number of missing patterns                         2
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic             5174.878
##   Degrees of freedom                               170
##   P-value (Chi-square)                           0.000
## 
## Parameter estimates:
## 
##   Information                                 Observed
##   Standard Errors                             Standard
## 
##                    Estimate  Std.err  Z-value  P(>|z|)   Std.lv  Std.all
## Latent variables:
##   ASDQII =~
##     ASDQII_1          1.000                               0.708    0.597
##     ASDQII_2          0.886    0.087   10.206    0.000    0.627    0.507
##     ASDQII_3          0.895    0.085   10.576    0.000    0.634    0.529
##     ASDQII_4          0.882    0.087   10.149    0.000    0.625    0.504
##     ASDQII_5          0.935    0.088   10.595    0.000    0.662    0.530
##     ASDQII_6          1.493    0.116   12.899    0.000    1.058    0.692
##     ASDQII_7          1.575    0.119   13.212    0.000    1.115    0.718
##     ASDQII_8          1.563    0.117   13.401    0.000    1.107    0.734
##     ASDQII_9          1.575    0.118   13.308    0.000    1.115    0.727
##     ASDQII_10         1.488    0.112   13.314    0.000    1.054    0.723
##     ASDQII_11         1.475    0.102   14.418    0.000    1.044    0.813
##     ASDQII_12         1.439    0.104   13.839    0.000    1.019    0.762
##     ASDQII_13         1.540    0.110   13.941    0.000    1.090    0.773
##     ASDQII_14         1.475    0.105   14.015    0.000    1.045    0.780
##     ASDQII_15         1.430    0.103   13.868    0.000    1.013    0.763
##     ASDQII_16         1.337    0.093   14.320    0.000    0.947    0.789
##     ASDQII_17         1.338    0.093   14.327    0.000    0.948    0.790
##     ASDQII_18         1.359    0.094   14.464    0.000    0.963    0.801
##     ASDQII_19         1.317    0.092   14.342    0.000    0.933    0.794
##     ASDQII_20         1.430    0.097   14.683    0.000    1.013    0.825
## 
## Intercepts:
##     ASDQII_1          4.670    0.053   88.690    0.000    4.670    3.935
##     ASDQII_2          4.483    0.056   80.709    0.000    4.483    3.620
##     ASDQII_3          4.582    0.054   85.559    0.000    4.582    3.828
##     ASDQII_4          4.536    0.056   81.500    0.000    4.536    3.657
##     ASDQII_5          4.562    0.056   81.598    0.000    4.562    3.650
##     ASDQII_6          4.122    0.063   65.925    0.000    4.122    2.696
##     ASDQII_7          4.161    0.064   65.506    0.000    4.161    2.679
##     ASDQII_8          4.119    0.062   66.823    0.000    4.119    2.733
##     ASDQII_9          4.035    0.063   64.301    0.000    4.035    2.629
##     ASDQII_10         4.291    0.060   72.021    0.000    4.291    2.945
##     ASDQII_11         4.356    0.053   82.913    0.000    4.356    3.391
##     ASDQII_12         4.189    0.055   76.593    0.000    4.189    3.132
##     ASDQII_13         4.227    0.058   73.250    0.000    4.227    2.995
##     ASDQII_14         4.236    0.055   77.301    0.000    4.236    3.161
##     ASDQII_15         4.246    0.054   78.249    0.000    4.246    3.200
##     ASDQII_16         4.465    0.049   91.006    0.000    4.465    3.722
##     ASDQII_17         4.460    0.049   90.916    0.000    4.460    3.718
##     ASDQII_18         4.555    0.049   92.690    0.000    4.555    3.790
##     ASDQII_19         4.356    0.048   90.687    0.000    4.356    3.708
##     ASDQII_20         4.445    0.050   88.616    0.000    4.445    3.624
##     ASDQII            0.000                               0.000    0.000
## 
## Variances:
##     ASDQII_1          0.907    0.061                      0.907    0.644
##     ASDQII_2          1.140    0.076                      1.140    0.743
##     ASDQII_3          1.031    0.069                      1.031    0.720
##     ASDQII_4          1.149    0.076                      1.149    0.746
##     ASDQII_5          1.124    0.075                      1.124    0.719
##     ASDQII_6          1.220    0.076                      1.220    0.522
##     ASDQII_7          1.169    0.073                      1.169    0.485
##     ASDQII_8          1.046    0.066                      1.046    0.461
##     ASDQII_9          1.112    0.070                      1.112    0.472
##     ASDQII_10         1.013    0.064                      1.013    0.477
##     ASDQII_11         0.560    0.037                      0.560    0.339
##     ASDQII_12         0.750    0.048                      0.750    0.419
##     ASDQII_13         0.803    0.052                      0.803    0.403
##     ASDQII_14         0.704    0.045                      0.704    0.392
##     ASDQII_15         0.735    0.047                      0.735    0.417
##     ASDQII_16         0.543    0.034                      0.543    0.378
##     ASDQII_17         0.541    0.034                      0.541    0.376
##     ASDQII_18         0.518    0.033                      0.518    0.359
##     ASDQII_19         0.510    0.032                      0.510    0.370
##     ASDQII_20         0.479    0.031                      0.479    0.319
##     ASDQII            0.501    0.069                      1.000    1.000
## 
## R-Square:
## 
##     ASDQII_1          0.356
##     ASDQII_2          0.257
##     ASDQII_3          0.280
##     ASDQII_4          0.254
##     ASDQII_5          0.281
##     ASDQII_6          0.478
##     ASDQII_7          0.515
##     ASDQII_8          0.539
##     ASDQII_9          0.528
##     ASDQII_10         0.523
##     ASDQII_11         0.661
##     ASDQII_12         0.581
##     ASDQII_13         0.597
##     ASDQII_14         0.608
##     ASDQII_15         0.583
##     ASDQII_16         0.622
##     ASDQII_17         0.624
##     ASDQII_18         0.641
##     ASDQII_19         0.630
##     ASDQII_20         0.681

Residual correlations

correl = residuals(four.fit, type="cor")
correl
## $type
## [1] "cor.bollen"
## 
## $cor
##           ASDQII_1 ASDQII_2 ASDQII_3 ASDQII_4 ASDQII_5 ASDQII_6 ASDQII_7
## ASDQII_1   0.000                                                        
## ASDQII_2   0.002    0.000                                               
## ASDQII_3  -0.028    0.014    0.000                                      
## ASDQII_4  -0.022    0.027    0.013    0.000                             
## ASDQII_5   0.026   -0.029    0.011   -0.001    0.000                    
## ASDQII_6  -0.009   -0.053   -0.016   -0.052    0.000    0.000           
## ASDQII_7   0.021   -0.059   -0.054   -0.051    0.020    0.012    0.000  
## ASDQII_8   0.041   -0.035    0.003   -0.011    0.044   -0.009   -0.002  
## ASDQII_9   0.027   -0.023   -0.008   -0.028    0.039    0.011   -0.009  
## ASDQII_10  0.094   -0.034    0.005   -0.017    0.048   -0.007   -0.003  
## ASDQII_11  0.116    0.014    0.011    0.017   -0.005   -0.018    0.005  
## ASDQII_12  0.032    0.034    0.007   -0.005   -0.054   -0.019   -0.024  
## ASDQII_13  0.017   -0.013    0.006   -0.024   -0.041   -0.010   -0.010  
## ASDQII_14  0.011   -0.043   -0.045   -0.014   -0.088   -0.005    0.011  
## ASDQII_15  0.060    0.013   -0.005   -0.017   -0.016   -0.017   -0.003  
## ASDQII_16  0.048   -0.021   -0.014   -0.018    0.025   -0.034    0.002  
## ASDQII_17  0.034   -0.059   -0.036    0.000   -0.026   -0.050    0.014  
## ASDQII_18  0.096   -0.044   -0.016   -0.035    0.004   -0.012    0.016  
## ASDQII_19  0.020   -0.017    0.010   -0.045    0.024   -0.011    0.012  
## ASDQII_20  0.057   -0.004    0.021   -0.031   -0.020    0.008   -0.001  
##           ASDQII_8 ASDQII_9 ASDQII_10 ASDQII_11 ASDQII_12 ASDQII_13
## ASDQII_1                                                           
## ASDQII_2                                                           
## ASDQII_3                                                           
## ASDQII_4                                                           
## ASDQII_5                                                           
## ASDQII_6                                                           
## ASDQII_7                                                           
## ASDQII_8   0.000                                                   
## ASDQII_9   0.005    0.000                                          
## ASDQII_10  0.008   -0.005    0.000                                 
## ASDQII_11  0.007    0.005    0.026     0.000                       
## ASDQII_12 -0.011    0.019   -0.031    -0.008     0.000             
## ASDQII_13 -0.002    0.010   -0.025    -0.013     0.024     0.000   
## ASDQII_14  0.044    0.031    0.006    -0.006    -0.009     0.014   
## ASDQII_15 -0.013    0.016   -0.015     0.018     0.001    -0.016   
## ASDQII_16 -0.028   -0.019    0.002     0.016    -0.069    -0.057   
## ASDQII_17 -0.001   -0.021    0.025     0.035    -0.056    -0.033   
## ASDQII_18 -0.008   -0.022    0.063     0.039    -0.092    -0.085   
## ASDQII_19  0.013    0.023   -0.023     0.066     0.054     0.040   
## ASDQII_20  0.012    0.010    0.029     0.047     0.026     0.035   
##           ASDQII_14 ASDQII_15 ASDQII_16 ASDQII_17 ASDQII_18 ASDQII_19
## ASDQII_1                                                             
## ASDQII_2                                                             
## ASDQII_3                                                             
## ASDQII_4                                                             
## ASDQII_5                                                             
## ASDQII_6                                                             
## ASDQII_7                                                             
## ASDQII_8                                                             
## ASDQII_9                                                             
## ASDQII_10                                                            
## ASDQII_11                                                            
## ASDQII_12                                                            
## ASDQII_13                                                            
## ASDQII_14  0.000                                                     
## ASDQII_15 -0.004     0.000                                           
## ASDQII_16 -0.014    -0.005     0.000                                 
## ASDQII_17  0.042    -0.007     0.010     0.000                       
## ASDQII_18 -0.043    -0.001     0.029     0.033     0.000             
## ASDQII_19  0.020     0.017    -0.012    -0.021    -0.017     0.000   
## ASDQII_20  0.048     0.013    -0.007    -0.010    -0.033     0.025   
##           ASDQII_20
## ASDQII_1           
## ASDQII_2           
## ASDQII_3           
## ASDQII_4           
## ASDQII_5           
## ASDQII_6           
## ASDQII_7           
## ASDQII_8           
## ASDQII_9           
## ASDQII_10          
## ASDQII_11          
## ASDQII_12          
## ASDQII_13          
## ASDQII_14          
## ASDQII_15          
## ASDQII_16          
## ASDQII_17          
## ASDQII_18          
## ASDQII_19          
## ASDQII_20  0.000   
## 
## $mean
##  ASDQII_1  ASDQII_2  ASDQII_3  ASDQII_4  ASDQII_5  ASDQII_6  ASDQII_7 
##    -0.002     0.000     0.000    -0.005    -0.010     0.000     0.000 
##  ASDQII_8  ASDQII_9 ASDQII_10 ASDQII_11 ASDQII_12 ASDQII_13 ASDQII_14 
##     0.000     0.000     0.000     0.000     0.000     0.000     0.000 
## ASDQII_15 ASDQII_16 ASDQII_17 ASDQII_18 ASDQII_19 ASDQII_20 
##     0.000     0.000     0.000     0.000     0.000     0.000
View(correl$cor)
correl1 = residuals(one.fit, type="cor")
correl1
## $type
## [1] "cor.bollen"
## 
## $cor
##           ASDQII_1 ASDQII_2 ASDQII_3 ASDQII_4 ASDQII_5 ASDQII_6 ASDQII_7
## ASDQII_1   0.000                                                        
## ASDQII_2   0.438    0.000                                               
## ASDQII_3   0.406    0.479    0.000                                      
## ASDQII_4   0.414    0.493    0.478    0.000                             
## ASDQII_5   0.452    0.429    0.468    0.457    0.000                    
## ASDQII_6  -0.228   -0.215   -0.190   -0.212   -0.177    0.000           
## ASDQII_7  -0.211   -0.231   -0.239   -0.221   -0.167    0.333    0.000  
## ASDQII_8  -0.197   -0.212   -0.187   -0.186   -0.148    0.318    0.318  
## ASDQII_9  -0.209   -0.198   -0.197   -0.202   -0.152    0.331    0.305  
## ASDQII_10 -0.143   -0.210   -0.185   -0.191   -0.144    0.304    0.301  
## ASDQII_11  0.002   -0.036   -0.051   -0.031   -0.071   -0.115   -0.106  
## ASDQII_12 -0.057    0.006   -0.033   -0.032   -0.098   -0.087   -0.105  
## ASDQII_13 -0.075   -0.043   -0.036   -0.052   -0.087   -0.081   -0.094  
## ASDQII_14 -0.092   -0.083   -0.097   -0.052   -0.144   -0.089   -0.086  
## ASDQII_15 -0.038   -0.024   -0.053   -0.052   -0.069   -0.096   -0.095  
## ASDQII_16  0.087    0.078    0.076    0.083    0.109   -0.042   -0.019  
## ASDQII_17  0.066    0.033    0.047    0.094    0.050   -0.067   -0.015  
## ASDQII_18  0.135    0.055    0.073    0.066    0.088   -0.022   -0.007  
## ASDQII_19  0.038    0.062    0.079    0.036    0.088   -0.042   -0.031  
## ASDQII_20  0.077    0.079    0.093    0.053    0.047   -0.024   -0.046  
##           ASDQII_8 ASDQII_9 ASDQII_10 ASDQII_11 ASDQII_12 ASDQII_13
## ASDQII_1                                                           
## ASDQII_2                                                           
## ASDQII_3                                                           
## ASDQII_4                                                           
## ASDQII_5                                                           
## ASDQII_6                                                           
## ASDQII_7                                                           
## ASDQII_8   0.000                                                   
## ASDQII_9   0.324    0.000                                          
## ASDQII_10  0.318    0.298    0.000                                 
## ASDQII_11 -0.108   -0.110   -0.094     0.000                       
## ASDQII_12 -0.095   -0.066   -0.119     0.188     0.000             
## ASDQII_13 -0.088   -0.078   -0.117     0.182     0.248     0.000   
## ASDQII_14 -0.056   -0.070   -0.099     0.169     0.196     0.218   
## ASDQII_15 -0.108   -0.079   -0.114     0.195     0.206     0.190   
## ASDQII_16 -0.050   -0.043   -0.027    -0.052    -0.105    -0.095   
## ASDQII_17 -0.032   -0.053   -0.013    -0.042    -0.101    -0.079   
## ASDQII_18 -0.032   -0.048    0.031    -0.033    -0.130    -0.126   
## ASDQII_19 -0.032   -0.024   -0.075    -0.027    -0.006    -0.022   
## ASDQII_20 -0.035   -0.039   -0.025    -0.049    -0.036    -0.030   
##           ASDQII_14 ASDQII_15 ASDQII_16 ASDQII_17 ASDQII_18 ASDQII_19
## ASDQII_1                                                             
## ASDQII_2                                                             
## ASDQII_3                                                             
## ASDQII_4                                                             
## ASDQII_5                                                             
## ASDQII_6                                                             
## ASDQII_7                                                             
## ASDQII_8                                                             
## ASDQII_9                                                             
## ASDQII_10                                                            
## ASDQII_11                                                            
## ASDQII_12                                                            
## ASDQII_13                                                            
## ASDQII_14  0.000                                                     
## ASDQII_15  0.182     0.000                                           
## ASDQII_16 -0.067    -0.054     0.000                                 
## ASDQII_17 -0.021    -0.065     0.096     0.000                       
## ASDQII_18 -0.099    -0.053     0.125     0.118     0.000             
## ASDQII_19 -0.057    -0.055     0.056     0.036     0.050     0.000   
## ASDQII_20 -0.033    -0.062     0.064     0.050     0.037     0.067   
##           ASDQII_20
## ASDQII_1           
## ASDQII_2           
## ASDQII_3           
## ASDQII_4           
## ASDQII_5           
## ASDQII_6           
## ASDQII_7           
## ASDQII_8           
## ASDQII_9           
## ASDQII_10          
## ASDQII_11          
## ASDQII_12          
## ASDQII_13          
## ASDQII_14          
## ASDQII_15          
## ASDQII_16          
## ASDQII_17          
## ASDQII_18          
## ASDQII_19          
## ASDQII_20  0.000   
## 
## $mean
##  ASDQII_1  ASDQII_2  ASDQII_3  ASDQII_4  ASDQII_5  ASDQII_6  ASDQII_7 
##    -0.035    -0.026    -0.027    -0.031    -0.038     0.000     0.000 
##  ASDQII_8  ASDQII_9 ASDQII_10 ASDQII_11 ASDQII_12 ASDQII_13 ASDQII_14 
##     0.000     0.000     0.000     0.000     0.000     0.000     0.000 
## ASDQII_15 ASDQII_16 ASDQII_17 ASDQII_18 ASDQII_19 ASDQII_20 
##     0.000     0.000     0.000     0.000     0.000     0.000
View(correl1$cor)

zscore correlation anything over 1.96 is going to be statistically significant at the .05 level

zcorrels = residuals(four.fit, type = "standardized")
View(zcorrels$cov)
zcorrels1 = residuals(one.fit, type = "standardized")
View(zcorrels1$cov)

Modification indicies

modindices(four.fit, sort. = TRUE, minimum.value = 3.84)
##            lhs op       rhs     mi    epc sepc.lv sepc.all sepc.nox
## 1    ASDQII_11 ~~ ASDQII_18 30.172  0.092   0.092    0.059    0.059
## 2    ASDQII_10 ~~ ASDQII_18 29.218  0.102   0.102    0.058    0.058
## 3     ASDQII_1 ~~ ASDQII_18 26.926  0.106   0.106    0.074    0.074
## 4    ASDQII_10 ~~ ASDQII_19 26.157 -0.103  -0.103   -0.060   -0.060
## 5     ASDQII_1 ~~ ASDQII_11 23.117  0.088   0.088    0.057    0.057
## 6     ASDQII_1 ~~ ASDQII_10 23.016  0.099   0.099    0.057    0.057
## 7    ASDQII_13 ~~ ASDQII_18 21.436 -0.086  -0.086   -0.050   -0.050
## 8    ASDQII_14 ~~ ASDQII_17 21.304  0.089   0.089    0.056    0.056
## 9    ASDQII_12 ~~ ASDQII_18 21.154 -0.083  -0.083   -0.052   -0.052
## 10   ASDQII_12 ~~ ASDQII_19 19.658  0.085   0.085    0.054    0.054
## 11   ASDQII_12 ~~ ASDQII_13 19.293  0.089   0.089    0.047    0.047
## 12 AllSubjects =~ ASDQII_11 18.499  0.177   0.180    0.140    0.140
## 13 AllSubjects =~  ASDQII_1 17.718  0.194   0.197    0.166    0.166
## 14   ASDQII_10 ~~ ASDQII_11 16.811  0.069   0.069    0.037    0.037
## 15    ASDQII_2 ~~ ASDQII_12 16.511  0.087   0.087    0.053    0.053
## 16   ASDQII_18 ~~ ASDQII_20 14.859 -0.082  -0.082   -0.055   -0.055
## 17    ASDQII_8 ~~ ASDQII_14 13.437  0.063   0.063    0.031    0.031
## 18   ASDQII_17 ~~ ASDQII_18 13.242  0.077   0.077    0.053    0.053
## 19   ASDQII_12 ~~ ASDQII_17 12.628 -0.067  -0.067   -0.042   -0.042
## 20    ASDQII_1 ~~  ASDQII_3 12.123 -0.081  -0.081   -0.056   -0.056
## 21    ASDQII_9 ~~ ASDQII_18 11.935 -0.065  -0.065   -0.035   -0.035
## 22   ASDQII_15 ~~ ASDQII_18 11.510  0.065   0.065    0.040    0.040
## 23   ASDQII_16 ~~ ASDQII_18 11.322  0.070   0.070    0.048    0.048
## 24     Science =~ ASDQII_18 10.984 -0.135  -0.158   -0.132   -0.132
## 25    ASDQII_6 ~~ ASDQII_17 10.919 -0.070  -0.070   -0.038   -0.038
## 26     English =~ ASDQII_11 10.608  0.100   0.104    0.081    0.081
## 27    ASDQII_4 ~~ ASDQII_17 10.354  0.075   0.075    0.051    0.051
## 28     Science =~ ASDQII_19 10.180  0.136   0.159    0.136    0.136
## 29    ASDQII_9 ~~ ASDQII_12  9.922  0.057   0.057    0.028    0.028
## 30    ASDQII_2 ~~  ASDQII_5  9.878 -0.082  -0.082   -0.053   -0.053
## 31     Science =~  ASDQII_1  9.495  0.096   0.112    0.094    0.094
## 32    ASDQII_3 ~~  ASDQII_7  9.294 -0.066  -0.066   -0.036   -0.036
## 33     Science =~ ASDQII_20  9.187  0.128   0.149    0.122    0.122
## 34   ASDQII_11 ~~ ASDQII_15  8.958  0.057   0.057    0.033    0.033
## 35    ASDQII_1 ~~  ASDQII_5  8.942  0.073   0.073    0.049    0.049
## 36   ASDQII_13 ~~ ASDQII_20  8.695  0.056   0.056    0.033    0.033
## 37 AllSubjects =~ ASDQII_12  8.164 -0.127  -0.129   -0.097   -0.097
## 38    ASDQII_4 ~~ ASDQII_14  7.938  0.062   0.062    0.037    0.037
## 39    ASDQII_9 ~~ ASDQII_11  7.825 -0.047  -0.047   -0.024   -0.024
## 40   ASDQII_11 ~~ ASDQII_13  7.546 -0.053  -0.053   -0.029   -0.029
## 41   ASDQII_12 ~~ ASDQII_16  7.417 -0.050  -0.050   -0.031   -0.031
## 42    ASDQII_9 ~~ ASDQII_19  7.249  0.054   0.054    0.030    0.030
## 43    ASDQII_2 ~~  ASDQII_4  7.249  0.070   0.070    0.045    0.045
## 44    ASDQII_1 ~~  ASDQII_4  7.202 -0.065  -0.065   -0.044   -0.044
## 45    ASDQII_5 ~~ ASDQII_20  7.092 -0.061  -0.061   -0.040   -0.040
## 46   ASDQII_13 ~~ ASDQII_15  6.984 -0.055  -0.055   -0.029   -0.029
## 47    ASDQII_1 ~~  ASDQII_6  6.623 -0.057  -0.057   -0.031   -0.031
## 48   ASDQII_19 ~~ ASDQII_20  6.496  0.056   0.056    0.039    0.039
## 49   ASDQII_13 ~~ ASDQII_19  6.242  0.049   0.049    0.030    0.030
## 50    ASDQII_1 ~~ ASDQII_13  6.208 -0.050  -0.050   -0.030   -0.030
## 51        Math =~  ASDQII_1  5.988  0.058   0.080    0.067    0.067
## 52   ASDQII_13 ~~ ASDQII_14  5.820  0.050   0.050    0.026    0.026
## 53 AllSubjects =~ ASDQII_13  5.743 -0.109  -0.111   -0.079   -0.079
## 54    ASDQII_3 ~~ ASDQII_13  5.728  0.049   0.049    0.029    0.029
## 55   ASDQII_14 ~~ ASDQII_19  5.659 -0.047  -0.047   -0.030   -0.030
## 56    ASDQII_3 ~~  ASDQII_6  5.508  0.053   0.053    0.029    0.029
## 57   ASDQII_11 ~~ ASDQII_20  5.464 -0.040  -0.040   -0.026   -0.026
## 58    ASDQII_5 ~~ ASDQII_14  5.391 -0.051  -0.051   -0.030   -0.030
## 59   ASDQII_12 ~~ ASDQII_20  5.302  0.043   0.043    0.026    0.026
## 60   ASDQII_15 ~~ ASDQII_20  5.250 -0.045  -0.045   -0.028   -0.028
## 61    ASDQII_5 ~~ ASDQII_19  5.249  0.054   0.054    0.037    0.037
## 62     Science =~ ASDQII_16  5.140 -0.094  -0.110   -0.092   -0.092
## 63    ASDQII_3 ~~ ASDQII_20  5.121  0.049   0.049    0.033    0.033
## 64    ASDQII_2 ~~ ASDQII_18  5.085 -0.050  -0.050   -0.034   -0.034
## 65    ASDQII_2 ~~ ASDQII_11  4.793 -0.043  -0.043   -0.027   -0.027
## 66    ASDQII_1 ~~ ASDQII_19  4.702 -0.047  -0.047   -0.034   -0.034
## 67   ASDQII_15 ~~ ASDQII_19  4.689 -0.044  -0.044   -0.028   -0.028
## 68    ASDQII_2 ~~ ASDQII_10  4.600 -0.048  -0.048   -0.027   -0.027
## 69   ASDQII_10 ~~ ASDQII_13  4.510 -0.040  -0.040   -0.019   -0.019
## 70    ASDQII_3 ~~ ASDQII_11  4.472 -0.039  -0.039   -0.026   -0.026
## 71    ASDQII_6 ~~  ASDQII_7  4.468  0.049   0.049    0.021    0.021
## 72     English =~ ASDQII_14  4.260 -0.070  -0.073   -0.054   -0.054
## 73 AllSubjects =~  ASDQII_2  4.242 -0.103  -0.104   -0.084   -0.084
## 74    ASDQII_8 ~~ ASDQII_15  4.215 -0.037  -0.037   -0.018   -0.018
## 75    ASDQII_7 ~~ ASDQII_20  4.183 -0.041  -0.041   -0.022   -0.022
## 76   ASDQII_17 ~~ ASDQII_19  4.054 -0.044  -0.044   -0.031   -0.031
## 77    ASDQII_6 ~~  ASDQII_8  3.994 -0.043  -0.043   -0.019   -0.019
## 78 AllSubjects =~ ASDQII_10  3.971  0.085   0.086    0.059    0.059
## 79    ASDQII_8 ~~ ASDQII_18  3.928 -0.035  -0.035   -0.019   -0.019
## 80    ASDQII_6 ~~  ASDQII_9  3.926  0.045   0.045    0.019    0.019
## 81     Science =~  ASDQII_5  3.857 -0.066  -0.078   -0.062   -0.062
modindices(one.fit, sort. = TRUE, minimum.value = 3.84)
##           lhs op       rhs      mi    epc sepc.lv sepc.all sepc.nox
## 1    ASDQII_8 ~~  ASDQII_9 321.779  0.835   0.835    0.361    0.361
## 2    ASDQII_8 ~~ ASDQII_10 306.464  0.777   0.777    0.354    0.354
## 3    ASDQII_7 ~~  ASDQII_8 301.179  0.827   0.827    0.353    0.353
## 4    ASDQII_6 ~~  ASDQII_9 292.206  0.853   0.853    0.364    0.364
## 5    ASDQII_6 ~~  ASDQII_7 287.758  0.867   0.867    0.365    0.365
## 6    ASDQII_6 ~~  ASDQII_8 277.330  0.808   0.808    0.350    0.350
## 7    ASDQII_7 ~~  ASDQII_9 268.544  0.804   0.804    0.337    0.337
## 8    ASDQII_9 ~~ ASDQII_10 261.456  0.739   0.739    0.330    0.330
## 9    ASDQII_7 ~~ ASDQII_10 259.485  0.754   0.754    0.333    0.333
## 10  ASDQII_12 ~~ ASDQII_13 249.674  0.537   0.537    0.285    0.285
## 11   ASDQII_6 ~~ ASDQII_10 243.160  0.742   0.742    0.333    0.333
## 12   ASDQII_1 ~~  ASDQII_5 215.693  0.696   0.696    0.470    0.470
## 13   ASDQII_2 ~~  ASDQII_4 211.475  0.777   0.777    0.506    0.506
## 14  ASDQII_13 ~~ ASDQII_14 208.783  0.478   0.478    0.253    0.253
## 15   ASDQII_2 ~~  ASDQII_3 207.820  0.731   0.731    0.493    0.493
## 16   ASDQII_3 ~~  ASDQII_4 205.852  0.730   0.730    0.492    0.492
## 17   ASDQII_3 ~~  ASDQII_5 205.078  0.722   0.722    0.482    0.482
## 18   ASDQII_1 ~~  ASDQII_2 194.632  0.666   0.666    0.453    0.453
## 19  ASDQII_11 ~~ ASDQII_15 190.018  0.393   0.393    0.230    0.230
## 20   ASDQII_4 ~~  ASDQII_5 188.110  0.728   0.728    0.470    0.470
## 21  ASDQII_11 ~~ ASDQII_12 175.280  0.381   0.381    0.222    0.222
## 22   ASDQII_1 ~~  ASDQII_3 173.629  0.599   0.599    0.421    0.421
## 23   ASDQII_1 ~~  ASDQII_4 172.652  0.629   0.629    0.427    0.427
## 24  ASDQII_11 ~~ ASDQII_13 172.166  0.392   0.392    0.216    0.216
## 25  ASDQII_12 ~~ ASDQII_15 166.336  0.419   0.419    0.236    0.236
## 26   ASDQII_2 ~~  ASDQII_5 166.199  0.682   0.682    0.441    0.441
## 27  ASDQII_12 ~~ ASDQII_14 160.500  0.404   0.404    0.226    0.226
## 28  ASDQII_11 ~~ ASDQII_14 153.419  0.347   0.347    0.202    0.202
## 29  ASDQII_13 ~~ ASDQII_15 146.706  0.408   0.408    0.218    0.218
## 30  ASDQII_14 ~~ ASDQII_15 139.791  0.374   0.374    0.210    0.210
## 31   ASDQII_3 ~~  ASDQII_7  82.823 -0.475  -0.475   -0.255   -0.255
## 32  ASDQII_16 ~~ ASDQII_18  81.957  0.214   0.214    0.148    0.148
## 33  ASDQII_12 ~~ ASDQII_18  78.916 -0.245  -0.245   -0.152   -0.152
## 34  ASDQII_13 ~~ ASDQII_18  77.388 -0.251  -0.251   -0.148   -0.148
## 35   ASDQII_1 ~~  ASDQII_6  74.523 -0.432  -0.432   -0.238   -0.238
## 36   ASDQII_1 ~~  ASDQII_9  74.350 -0.413  -0.413   -0.227   -0.227
## 37  ASDQII_17 ~~ ASDQII_18  73.443  0.202   0.202    0.140    0.140
## 38   ASDQII_2 ~~  ASDQII_7  72.078 -0.465  -0.465   -0.242   -0.242
## 39   ASDQII_1 ~~  ASDQII_7  72.042 -0.417  -0.417   -0.226   -0.226
## 40   ASDQII_1 ~~  ASDQII_8  69.937 -0.390  -0.390   -0.218   -0.218
## 41   ASDQII_4 ~~  ASDQII_7  69.109 -0.457  -0.457   -0.237   -0.237
## 42   ASDQII_2 ~~  ASDQII_8  68.428 -0.430  -0.430   -0.230   -0.230
## 43   ASDQII_4 ~~  ASDQII_9  62.418 -0.424  -0.424   -0.223   -0.223
## 44   ASDQII_2 ~~ ASDQII_10  62.287 -0.403  -0.403   -0.223   -0.223
## 45   ASDQII_3 ~~  ASDQII_9  59.152 -0.392  -0.392   -0.213   -0.213
## 46   ASDQII_2 ~~  ASDQII_9  58.389 -0.409  -0.409   -0.215   -0.215
## 47   ASDQII_4 ~~  ASDQII_6  58.261 -0.427  -0.427   -0.225   -0.225
## 48   ASDQII_2 ~~  ASDQII_6  58.016 -0.425  -0.425   -0.224   -0.224
## 49   ASDQII_3 ~~  ASDQII_8  57.305 -0.375  -0.375   -0.208   -0.208
## 50   ASDQII_4 ~~  ASDQII_8  54.123 -0.384  -0.384   -0.205   -0.205
## 51   ASDQII_4 ~~ ASDQII_10  54.030 -0.376  -0.376   -0.208   -0.208
## 52   ASDQII_9 ~~ ASDQII_11  52.510 -0.252  -0.252   -0.128   -0.128
## 53   ASDQII_8 ~~ ASDQII_11  51.588 -0.243  -0.243   -0.125   -0.125
## 54   ASDQII_6 ~~ ASDQII_11  51.474 -0.260  -0.260   -0.132   -0.132
## 55   ASDQII_3 ~~ ASDQII_10  50.218 -0.344  -0.344   -0.197   -0.197
## 56  ASDQII_14 ~~ ASDQII_18  49.331 -0.188  -0.188   -0.117   -0.117
## 57  ASDQII_10 ~~ ASDQII_13  47.868 -0.271  -0.271   -0.132   -0.132
## 58  ASDQII_12 ~~ ASDQII_16  47.857 -0.194  -0.194   -0.121   -0.121
## 59  ASDQII_10 ~~ ASDQII_12  47.818 -0.261  -0.261   -0.134   -0.134
## 60   ASDQII_7 ~~ ASDQII_11  47.255 -0.245  -0.245   -0.123   -0.123
## 61   ASDQII_3 ~~  ASDQII_6  46.675 -0.363  -0.363   -0.198   -0.198
## 62  ASDQII_16 ~~ ASDQII_17  45.805  0.163   0.163    0.113    0.113
## 63  ASDQII_12 ~~ ASDQII_17  44.548 -0.187  -0.187   -0.117   -0.117
## 64  ASDQII_10 ~~ ASDQII_15  43.964 -0.248  -0.248   -0.128   -0.128
## 65   ASDQII_1 ~~ ASDQII_18  42.795  0.218   0.218    0.153    0.153
## 66  ASDQII_13 ~~ ASDQII_16  41.411 -0.188  -0.188   -0.111   -0.111
## 67   ASDQII_8 ~~ ASDQII_15  40.818 -0.244  -0.244   -0.122   -0.122
## 68   ASDQII_5 ~~  ASDQII_6  40.539 -0.353  -0.353   -0.185   -0.185
## 69   ASDQII_5 ~~  ASDQII_7  40.368 -0.346  -0.346   -0.178   -0.178
## 70   ASDQII_5 ~~ ASDQII_14  40.072 -0.271  -0.271   -0.162   -0.162
## 71  ASDQII_10 ~~ ASDQII_11  37.643 -0.203  -0.203   -0.109   -0.109
## 72   ASDQII_7 ~~ ASDQII_12  36.520 -0.245  -0.245   -0.118   -0.118
## 73   ASDQII_5 ~~  ASDQII_8  35.833 -0.309  -0.309   -0.164   -0.164
## 74   ASDQII_5 ~~  ASDQII_9  35.774 -0.318  -0.318   -0.166   -0.166
## 75  ASDQII_10 ~~ ASDQII_14  35.305 -0.219  -0.219   -0.112   -0.112
## 76   ASDQII_8 ~~ ASDQII_12  31.301 -0.215  -0.215   -0.107   -0.107
## 77   ASDQII_1 ~~ ASDQII_10  30.691 -0.253  -0.253   -0.147   -0.147
## 78   ASDQII_5 ~~ ASDQII_10  30.502 -0.280  -0.280   -0.154   -0.154
## 79   ASDQII_7 ~~ ASDQII_13  30.284 -0.232  -0.232   -0.106   -0.106
## 80   ASDQII_7 ~~ ASDQII_15  29.842 -0.219  -0.219   -0.106   -0.106
## 81  ASDQII_13 ~~ ASDQII_17  29.055 -0.157  -0.157   -0.093   -0.093
## 82   ASDQII_8 ~~ ASDQII_13  28.287 -0.212  -0.212   -0.100   -0.100
## 83   ASDQII_6 ~~ ASDQII_15  28.160 -0.217  -0.217   -0.107   -0.107
## 84  ASDQII_19 ~~ ASDQII_20  27.572  0.117   0.117    0.081    0.081
## 85   ASDQII_7 ~~ ASDQII_14  26.396 -0.203  -0.203   -0.097   -0.097
## 86   ASDQII_6 ~~ ASDQII_14  25.892 -0.204  -0.204   -0.100   -0.100
## 87  ASDQII_16 ~~ ASDQII_20  24.569  0.114   0.114    0.077    0.077
## 88   ASDQII_6 ~~ ASDQII_12  22.983 -0.198  -0.198   -0.097   -0.097
## 89   ASDQII_1 ~~ ASDQII_14  22.822 -0.184  -0.184   -0.116   -0.116
## 90  ASDQII_10 ~~ ASDQII_19  21.698 -0.146  -0.146   -0.086   -0.086
## 91   ASDQII_9 ~~ ASDQII_13  21.514 -0.191  -0.191   -0.088   -0.088
## 92  ASDQII_14 ~~ ASDQII_16  21.464 -0.127  -0.127   -0.079   -0.079
## 93   ASDQII_9 ~~ ASDQII_15  21.446 -0.182  -0.182   -0.089   -0.089
## 94  ASDQII_15 ~~ ASDQII_20  20.748 -0.121  -0.121   -0.074   -0.074
## 95   ASDQII_6 ~~ ASDQII_13  20.694 -0.195  -0.195   -0.090   -0.090
## 96   ASDQII_3 ~~ ASDQII_14  20.645 -0.186  -0.186   -0.116   -0.116
## 97   ASDQII_3 ~~ ASDQII_20  19.699  0.152   0.152    0.104    0.104
## 98  ASDQII_15 ~~ ASDQII_17  18.507 -0.119  -0.119   -0.075   -0.075
## 99   ASDQII_9 ~~ ASDQII_14  18.147 -0.164  -0.164   -0.080   -0.080
## 100  ASDQII_5 ~~ ASDQII_16  17.987  0.160   0.160    0.106    0.106
## 101  ASDQII_4 ~~ ASDQII_17  17.810  0.160   0.160    0.108    0.108
## 102  ASDQII_5 ~~ ASDQII_12  17.752 -0.185  -0.185   -0.111   -0.111
## 103 ASDQII_11 ~~ ASDQII_20  16.274 -0.095  -0.095   -0.060   -0.060
## 104  ASDQII_5 ~~ ASDQII_13  16.060 -0.183  -0.183   -0.104   -0.104
## 105  ASDQII_1 ~~ ASDQII_20  15.950  0.129   0.129    0.089    0.089
## 106  ASDQII_5 ~~ ASDQII_18  15.885  0.147   0.147    0.098    0.098
## 107 ASDQII_16 ~~ ASDQII_19  15.816  0.093   0.093    0.066    0.066
## 108 ASDQII_14 ~~ ASDQII_19  15.772 -0.105  -0.105   -0.067   -0.067
## 109  ASDQII_1 ~~ ASDQII_13  15.633 -0.163  -0.163   -0.097   -0.097
## 110  ASDQII_6 ~~ ASDQII_17  15.243 -0.138  -0.138   -0.075   -0.075
## 111 ASDQII_11 ~~ ASDQII_16  15.218 -0.096  -0.096   -0.062   -0.062
## 112 ASDQII_17 ~~ ASDQII_20  15.003  0.089   0.089    0.060    0.060
## 113  ASDQII_2 ~~ ASDQII_14  14.778 -0.165  -0.165   -0.100   -0.100
## 114  ASDQII_9 ~~ ASDQII_12  14.626 -0.152  -0.152   -0.074   -0.074
## 115  ASDQII_2 ~~ ASDQII_20  14.490  0.137   0.137    0.090    0.090
## 116  ASDQII_5 ~~ ASDQII_19  13.815  0.136   0.136    0.092    0.092
## 117 ASDQII_15 ~~ ASDQII_19  13.545 -0.099  -0.099   -0.064   -0.064
## 118 ASDQII_18 ~~ ASDQII_19  13.278  0.084   0.084    0.059    0.059
## 119 ASDQII_15 ~~ ASDQII_18  13.099 -0.099  -0.099   -0.062   -0.062
## 120  ASDQII_1 ~~ ASDQII_16  12.952  0.122   0.122    0.086    0.086
## 121 ASDQII_15 ~~ ASDQII_16  12.902 -0.100  -0.100   -0.063   -0.063
## 122  ASDQII_5 ~~ ASDQII_11  12.072 -0.134  -0.134   -0.083   -0.083
## 123  ASDQII_8 ~~ ASDQII_14  11.705 -0.128  -0.128   -0.063   -0.063
## 124  ASDQII_5 ~~ ASDQII_15  11.414 -0.147  -0.147   -0.089   -0.089
## 125  ASDQII_3 ~~ ASDQII_18  11.282  0.119   0.119    0.082    0.082
## 126  ASDQII_9 ~~ ASDQII_17  10.929 -0.112  -0.112   -0.061   -0.061
## 127  ASDQII_1 ~~ ASDQII_17  10.880  0.112   0.112    0.078    0.078
## 128  ASDQII_4 ~~ ASDQII_16  10.732  0.124   0.124    0.084    0.084
## 129 ASDQII_11 ~~ ASDQII_17   9.965 -0.078  -0.078   -0.050   -0.050
## 130  ASDQII_7 ~~ ASDQII_20   9.727 -0.103  -0.103   -0.054   -0.054
## 131  ASDQII_8 ~~ ASDQII_16   9.690 -0.103  -0.103   -0.057   -0.057
## 132  ASDQII_9 ~~ ASDQII_18   9.555 -0.103  -0.103   -0.056   -0.056
## 133  ASDQII_3 ~~ ASDQII_19   9.376  0.107   0.107    0.076    0.076
## 134  ASDQII_2 ~~ ASDQII_16   9.300  0.115   0.115    0.078    0.078
## 135  ASDQII_3 ~~ ASDQII_16   9.125  0.109   0.109    0.076    0.076
## 136  ASDQII_1 ~~ ASDQII_12   9.096 -0.120  -0.120   -0.075   -0.075
## 137 ASDQII_18 ~~ ASDQII_20   8.706  0.066   0.066    0.045    0.045
## 138  ASDQII_3 ~~ ASDQII_11   8.443 -0.107  -0.107   -0.070   -0.070
## 139  ASDQII_3 ~~ ASDQII_15   8.127 -0.119  -0.119   -0.075   -0.075
## 140  ASDQII_4 ~~ ASDQII_15   7.686 -0.122  -0.122   -0.074   -0.074
## 141  ASDQII_4 ~~ ASDQII_18   7.308  0.101   0.101    0.067    0.067
## 142  ASDQII_4 ~~ ASDQII_13   7.104 -0.123  -0.123   -0.070   -0.070
## 143  ASDQII_9 ~~ ASDQII_20   6.958 -0.085  -0.085   -0.045   -0.045
## 144  ASDQII_9 ~~ ASDQII_16   6.956 -0.090  -0.090   -0.049   -0.049
## 145 ASDQII_12 ~~ ASDQII_20   6.896 -0.070  -0.070   -0.043   -0.043
## 146  ASDQII_4 ~~ ASDQII_14   6.699 -0.112  -0.112   -0.067   -0.067
## 147 ASDQII_17 ~~ ASDQII_19   6.666  0.060   0.060    0.043    0.043
## 148 ASDQII_11 ~~ ASDQII_18   6.401 -0.061  -0.061   -0.040   -0.040
## 149 ASDQII_14 ~~ ASDQII_20   6.177 -0.065  -0.065   -0.039   -0.039
## 150  ASDQII_6 ~~ ASDQII_16   6.165 -0.088  -0.088   -0.048   -0.048
## 151  ASDQII_6 ~~ ASDQII_19   6.091 -0.085  -0.085   -0.047   -0.047
## 152  ASDQII_5 ~~ ASDQII_17   5.990  0.092   0.092    0.061    0.061
## 153  ASDQII_8 ~~ ASDQII_20   5.932 -0.076  -0.076   -0.041   -0.041
## 154  ASDQII_1 ~~ ASDQII_15   5.855 -0.095  -0.095   -0.060   -0.060
## 155  ASDQII_2 ~~ ASDQII_19   5.730  0.088   0.088    0.060    0.060
## 156  ASDQII_2 ~~ ASDQII_18   5.668  0.088   0.088    0.059    0.059
## 157  ASDQII_4 ~~ ASDQII_20   5.622  0.086   0.086    0.056    0.056
## 158  ASDQII_2 ~~ ASDQII_13   5.036 -0.103  -0.103   -0.059   -0.059
## 159 ASDQII_13 ~~ ASDQII_20   4.874 -0.061  -0.061   -0.035   -0.035
## 160  ASDQII_3 ~~ ASDQII_13   4.850 -0.096  -0.096   -0.057   -0.057
## 161  ASDQII_3 ~~ ASDQII_17   4.808  0.079   0.079    0.055    0.055
## 162  ASDQII_2 ~~ ASDQII_11   4.747 -0.084  -0.084   -0.053   -0.053
## 163  ASDQII_5 ~~ ASDQII_20   4.544  0.076   0.076    0.050    0.050
## 164  ASDQII_8 ~~ ASDQII_18   4.272 -0.067  -0.067   -0.037   -0.037
## 165 ASDQII_11 ~~ ASDQII_19   4.123 -0.049  -0.049   -0.032   -0.032
## 166  ASDQII_8 ~~ ASDQII_19   4.076 -0.065  -0.065   -0.037   -0.037
## 167  ASDQII_4 ~~ ASDQII_11   4.039 -0.078  -0.078   -0.049   -0.049
## 168 ASDQII_10 ~~ ASDQII_18   3.974  0.063   0.063    0.036    0.036
## 169  ASDQII_8 ~~ ASDQII_17   3.940 -0.065  -0.065   -0.036   -0.036

Fit Measures

fitmeasures(four.fit)
##                npar                fmin               chisq 
##              66.000               0.472             564.361 
##                  df              pvalue      baseline.chisq 
##             164.000               0.000           12120.073 
##         baseline.df     baseline.pvalue                 cfi 
##             190.000               0.000               0.966 
##                 tli                nnfi                 rfi 
##               0.961               0.961               0.946 
##                 nfi                pnfi                 ifi 
##               0.953               0.823               0.967 
##                 rni                logl   unrestricted.logl 
##               0.966          -13454.178          -13171.998 
##                 aic                 bic              ntotal 
##           27040.356           27330.333             598.000 
##                bic2               rmsea      rmsea.ci.lower 
##           27120.802               0.064               0.058 
##      rmsea.ci.upper        rmsea.pvalue                 rmr 
##               0.070               0.000               0.048 
##          rmr_nomean                srmr        srmr_bentler 
##               0.050               0.029               0.029 
## srmr_bentler_nomean         srmr_bollen  srmr_bollen_nomean 
##               0.030               0.029               0.030 
##          srmr_mplus   srmr_mplus_nomean               cn_05 
##               0.029               0.030             207.499 
##               cn_01                 gfi                agfi 
##             222.508               0.967               0.954 
##                pgfi                 mfi                ecvi 
##               0.690               0.716                  NA
fitmeasures(one.fit)
##                npar                fmin               chisq 
##              60.000               4.327            5174.878 
##                  df              pvalue      baseline.chisq 
##             170.000               0.000           12120.073 
##         baseline.df     baseline.pvalue                 cfi 
##             190.000               0.000               0.580 
##                 tli                nnfi                 rfi 
##               0.531               0.531               0.523 
##                 nfi                pnfi                 ifi 
##               0.573               0.513               0.581 
##                 rni                logl   unrestricted.logl 
##               0.580          -15759.437          -13171.998 
##                 aic                 bic              ntotal 
##           31638.874           31902.489             598.000 
##                bic2               rmsea      rmsea.ci.lower 
##           31712.006               0.222               0.217 
##      rmsea.ci.upper        rmsea.pvalue                 rmr 
##               0.227               0.000               0.269 
##          rmr_nomean                srmr        srmr_bentler 
##               0.281               0.149               0.149 
## srmr_bentler_nomean         srmr_bollen  srmr_bollen_nomean 
##               0.156               0.149               0.156 
##          srmr_mplus   srmr_mplus_nomean               cn_05 
##               0.149               0.156              24.276 
##               cn_01                 gfi                agfi 
##              25.939               0.735               0.641 
##                pgfi                 mfi                ecvi 
##               0.543               0.015                  NA

Create dataset for Target rotation

ASDQIITR<-select(data, ASDQII_1  , ASDQII_2 , ASDQII_3, ASDQII_4 ,  ASDQII_5 , ASDQII_6 ,ASDQII_7 , ASDQII_8 , ASDQII_9 , ASDQII_10 , ASDQII_11 , ASDQII_12 , ASDQII_13 , ASDQII_14 , ASDQII_15, ASDQII_16, ASDQII_17, ASDQII_18, ASDQII_19, ASDQII_20)
colnames(ASDQIITR) <- c("1","2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "13", "14", "15", "16", "17", "18", "19", "20")
#Target Roration
Targ_key <- make.keys(20,list(f1=1:5,f2=6:10, f3=11:15, f4=16:10))
Targ_key <- scrub(Targ_key,isvalue=1)  #fix the 0s, allow the NAs to be estimated
Targ_key <- list(Targ_key)
ASDQIITR_cor<- corFiml(ASDQIITR)
out_targetQ <- fa(ASDQIITR_cor,4,rotate="TargetQ", n.obs = 670, Target=Targ_key) #TargetT for orthogonal rotation
## Warning in fac(r = r, nfactors = nfactors, n.obs = n.obs, rotate =
## rotate, : A Heywood case was detected. Examine the loadings carefully.
out_targetQ[c("loadings", "score.cor", "TLI", "RMSEA","uniquenesses")]
## $loadings
## 
## Loadings:
##    MR3    MR2    MR1    MR4   
## 1                 0.794 -0.130
## 2                 0.926  0.119
## 3                 0.932       
## 4                 0.903       
## 5  -0.174         0.915       
## 6          0.960              
## 7          0.913              
## 8          0.965              
## 9          0.963              
## 10         0.896        -0.112
## 11  1.077                0.211
## 12  1.142                0.531
## 13  1.149                0.476
## 14  1.109                0.310
## 15  1.074                0.298
## 16  0.215  0.182  0.219 -0.404
## 17  0.277  0.162  0.152 -0.408
## 18  0.165  0.187  0.177 -0.535
## 19  0.359  0.225  0.246 -0.131
## 20  0.342  0.247  0.264 -0.152
## 
##                  MR3   MR2   MR1   MR4
## SS loadings    6.604 4.642 4.260 1.466
## Proportion Var 0.330 0.232 0.213 0.073
## Cumulative Var 0.330 0.562 0.775 0.849
## 
## $score.cor
##            [,1]       [,2]       [,3]       [,4]
## [1,]  1.0000000  0.6089581  0.5209355 -0.7461335
## [2,]  0.6089581  1.0000000  0.2289255 -0.6390801
## [3,]  0.5209355  0.2289255  1.0000000 -0.6175495
## [4,] -0.7461335 -0.6390801 -0.6175495  1.0000000
## 
## $TLI
## [1] 0.9618415
## 
## $RMSEA
##      RMSEA      lower      upper confidence 
## 0.06513303 0.05806549 0.07087888 0.10000000 
## 
## $uniquenesses
##         1         2         3         4         5         6         7 
## 0.2401260 0.2598505 0.2416251 0.2788012 0.2599476 0.1872853 0.1677475 
##         8         9        10        11        12        13        14 
## 0.1347453 0.1505092 0.1806419 0.1706160 0.1635214 0.1633345 0.2038688 
##        15        16        17        18        19        20 
## 0.2381045 0.2814359 0.2881553 0.1909557 0.3636819 0.3093925
out_targetQ
## Factor Analysis using method =  minres
## Call: fa(r = ASDQIITR_cor, nfactors = 4, n.obs = 670, rotate = "TargetQ", 
##     Target = Targ_key)
## 
##  Warning: A Heywood case was detected. 
## Standardized loadings (pattern matrix) based upon correlation matrix
##      MR3   MR2   MR1   MR4   h2   u2 com
## 1   0.04 -0.08  0.79 -0.13 0.76 0.24 1.1
## 2   0.02 -0.06  0.93  0.12 0.74 0.26 1.0
## 3  -0.03 -0.02  0.93  0.07 0.76 0.24 1.0
## 4  -0.02 -0.06  0.90  0.05 0.72 0.28 1.0
## 5  -0.17  0.06  0.91 -0.04 0.74 0.26 1.1
## 6  -0.04  0.96 -0.03  0.05 0.81 0.19 1.0
## 7  -0.01  0.91 -0.09 -0.07 0.83 0.17 1.0
## 8  -0.02  0.96  0.00  0.04 0.87 0.13 1.0
## 9   0.01  0.96  0.00  0.10 0.85 0.15 1.0
## 10 -0.06  0.90 -0.03 -0.11 0.82 0.18 1.0
## 11  1.08 -0.04 -0.02  0.21 0.83 0.17 1.1
## 12  1.14  0.03  0.06  0.53 0.84 0.16 1.4
## 13  1.15  0.03  0.02  0.48 0.84 0.16 1.3
## 14  1.11  0.02 -0.08  0.31 0.80 0.20 1.2
## 15  1.07 -0.02 -0.02  0.30 0.76 0.24 1.2
## 16  0.21  0.18  0.22 -0.40 0.72 0.28 2.6
## 17  0.28  0.16  0.15 -0.41 0.71 0.29 2.5
## 18  0.17  0.19  0.18 -0.54 0.81 0.19 1.7
## 19  0.36  0.22  0.25 -0.13 0.64 0.36 2.9
## 20  0.34  0.25  0.26 -0.15 0.69 0.31 3.2
## 
##                        MR3  MR2  MR1  MR4
## SS loadings           5.64 4.88 4.43 0.59
## Proportion Var        0.28 0.24 0.22 0.03
## Cumulative Var        0.28 0.53 0.75 0.78
## Proportion Explained  0.36 0.31 0.29 0.04
## Cumulative Proportion 0.36 0.68 0.96 1.00
## 
##  With factor correlations of 
##       MR3   MR2   MR1   MR4
## MR3  1.00  0.65  0.60 -0.69
## MR2  0.65  1.00  0.34 -0.53
## MR1  0.60  0.34  1.00 -0.55
## MR4 -0.69 -0.53 -0.55  1.00
## 
## Mean item complexity =  1.5
## Test of the hypothesis that 4 factors are sufficient.
## 
## The degrees of freedom for the null model are  190  and the objective function was  21.3 with Chi Square of  14087.95
## The degrees of freedom for the model are 116  and the objective function was  0.67 
## 
## The root mean square of the residuals (RMSR) is  0.01 
## The df corrected root mean square of the residuals is  0.02 
## 
## The harmonic number of observations is  670 with the empirical chi square  54.91  with prob <  1 
## The total number of observations was  670  with MLE Chi Square =  438.45  with prob <  5.5e-39 
## 
## Tucker Lewis Index of factoring reliability =  0.962
## RMSEA index =  0.065  and the 90 % confidence intervals are  0.058 0.071
## BIC =  -316.39
## Fit based upon off diagonal values = 1
## Measures of factor score adequacy             
##                                                 MR3  MR2  MR1  MR4
## Correlation of scores with factors             0.98 0.98 0.97 0.92
## Multiple R square of scores with factors       0.96 0.97 0.94 0.84
## Minimum correlation of possible factor scores  0.92 0.93 0.89 0.68

CFI

1-((out_targetQ$STATISTIC - out_targetQ$dof)/(out_targetQ$null.chisq- out_targetQ$null.dof))
## [1] 0.9767984