ACT Survey Analysis
Preliminary Data analysis
$CurricCoverage
$OpenClassClimate
$CitActivities
$ParticipProfile
$AdultIntentions
$OverallTrust
$PersonalToleration
$PoliticalToleration
$SupportDemoc
$KnowledgeTotal
$PerceivedEthos
Preliminary Data analysis comments
The first stage of the analysis it to establish the distribution of the data.
Kurtosis should be close to 3 and skewness should be close to 0, and or the majority of points are on the line in the QQ plot are indicators that the variable is normally distributed.
From these test, it can be said that some of the variables are slightly skewed and have some kurtosis, the QQ plots do generally support the notion that the variables tested are normally distributed.
For completeness a Kolmogorov–Smirnov test was used due to the sample size being over 50, and a p value of greater than 0.05 would suggest that the variable is normally distributed.
Through this testing non of the variables are significant and therefore we can assume normality and can be used in the linear modelling
Finally a correlation matrix shows where there inputs potentially impact outputs, with the darker red square indicting a stronger link and can give some indication of the outcome of the linear models.
First Output Analysis - Adult Intention
| Linear Regression Model Output | |||||
| Dependent Variable: AdultIntentions | |||||
| R.Squared | Adjusted.R.Squared | F.Statistic | DF1 | DF2 | Residual.Std.Error |
|---|---|---|---|---|---|
| 0.329 | 0.321 | 45.090 | 6.000 | 553.000 | 0.022 |
| NCES Survey | |||||
| Linear Regression Model CoEfficients | ||||
| Dependent Variable: AdultIntentions | ||||
| Variable | Coefficient | StdError | tValue | PValue |
|---|---|---|---|---|
| (Intercept) | 0.477 | 0.119 | 3.998 | 0.000 |
| OpenClassClimate | 0.070 | 0.043 | 1.604 | 0.109 |
| ParticipProfile | 0.497 | 0.051 | 9.708 | 0.000 |
| CitActivities | 0.059 | 0.049 | 1.205 | 0.229 |
| TeacherRelationships | 0.010 | 0.039 | 0.249 | 0.804 |
| CurricCoverage | 0.005 | 0.043 | 0.106 | 0.915 |
| PerceivedEthos | 0.188 | 0.057 | 3.283 | 0.001 |
| NCES Survey | ||||
| Anova Model Output | |||||
| Dependent Variable: AdultIntentions | |||||
| Variable | Df | Sum Sq | Mean Sq | F Value | P(>F) |
|---|---|---|---|---|---|
| OpenClassClimate | 1 | 21.352 | 21.352 | 77.112 | 0.000 |
| ParticipProfile | 1 | 47.473 | 47.473 | 171.448 | 0.000 |
| CitActivities | 1 | 0.635 | 0.635 | 2.294 | 0.130 |
| TeacherRelationships | 1 | 2.419 | 2.419 | 8.735 | 0.003 |
| CurricCoverage | 1 | 0.048 | 0.048 | 0.174 | 0.677 |
| PerceivedEthos | 1 | 2.985 | 2.985 | 10.780 | 0.001 |
| Residuals | 553 | 153.123 | 0.277 | NA | NA |
| NCES Survey | |||||
| Variance Inflation Factor (VIF) Values | |
| Multicollinearity Assessment For Dependent Variable: AdultIntentions | |
| Variable | VIF |
|---|---|
| OpenClassClimate | 1.688 |
| ParticipProfile | 1.550 |
| CitActivities | 1.847 |
| TeacherRelationships | 1.973 |
| CurricCoverage | 1.440 |
| PerceivedEthos | 2.416 |
| NCES Survey | |
| Linear Regression Model Output | ||||
| Dependent Variable: AdultIntentions , Interactions: Sex, Ethnicity, FASCATEG | ||||
| R.Squared | Adjusted.R.Squared | F.Statistic | DF1 | DF2 |
|---|---|---|---|---|
| 0.02 | 0.01 | 1.87 | 7.00 | 552.00 |
| NCES Survey | ||||
| Linear Regression Model Coefficients | ||||
| Dependent Variable: AdultIntentions , Interactions: Sex, Ethnicity, FASCATEG | ||||
| Variable | Coefficient | StdError | tValue | PValue |
|---|---|---|---|---|
| (Intercept) | 1.88 | 0.71 | 2.63 | 0.01 |
| trainInteraction$Sex | 0.36 | 0.41 | 0.87 | 0.38 |
| trainInteraction$EthnicBinary | 0.10 | 0.44 | 0.24 | 0.81 |
| trainInteraction$FASCATEG | 0.03 | 0.36 | 0.08 | 0.94 |
| trainInteraction$Sex:trainInteraction$EthnicBinary | −0.25 | 0.26 | −0.98 | 0.33 |
| trainInteraction$Sex:trainInteraction$FASCATEG | −0.08 | 0.21 | −0.37 | 0.71 |
| trainInteraction$EthnicBinary:trainInteraction$FASCATEG | 0.03 | 0.22 | 0.15 | 0.88 |
| trainInteraction$Sex:trainInteraction$EthnicBinary:trainInteraction$FASCATEG | 0.04 | 0.13 | 0.31 | 0.76 |
| NCES Survey | ||||
| Anova Model Output | |||||
| Dependent Variable: AdultIntentions , Interactions: Sex, Ethnicity, FASCATEG | |||||
| Interaction | Df | Sum Sq | Mean Sq | F Value | P(>F) |
|---|---|---|---|---|---|
| trainInteraction$Sex | 1 | 0.45 | 0.45 | 1.12 | 0.29 |
| trainInteraction$EthnicBinary | 1 | 1.61 | 1.61 | 3.98 | 0.05 |
| trainInteraction$FASCATEG | 1 | 0.98 | 0.98 | 2.44 | 0.12 |
| trainInteraction$Sex:trainInteraction$EthnicBinary | 1 | 1.46 | 1.46 | 3.62 | 0.06 |
| trainInteraction$Sex:trainInteraction$FASCATEG | 1 | 0.04 | 0.04 | 0.10 | 0.75 |
| trainInteraction$EthnicBinary:trainInteraction$FASCATEG | 1 | 0.70 | 0.70 | 1.72 | 0.19 |
| trainInteraction$Sex:trainInteraction$EthnicBinary:trainInteraction$FASCATEG | 1 | 0.04 | 0.04 | 0.10 | 0.76 |
| Residuals | 552 | 222.76 | 0.40 | NA | NA |
| NCES Survey | |||||
| Variance Inflation Factor (VIF) Values | ||
| Multicollinearity Assessment For Dependent Variable: AdultIntentions , Interactions: Sex, Ethnicity, FASCATEG | ||
| Variable | type | VIF |
|---|---|---|
| trainInteraction$Sex | predictor | 71.95 |
| trainInteraction$EthnicBinary | predictor | 65.16 |
| trainInteraction$FASCATEG | predictor | 95.61 |
| trainInteraction$Sex:trainInteraction$EthnicBinary | predictor | 122.48 |
| trainInteraction$Sex:trainInteraction$FASCATEG | predictor | 150.02 |
| trainInteraction$EthnicBinary:trainInteraction$FASCATEG | predictor | 162.38 |
| trainInteraction$Sex:trainInteraction$EthnicBinary:trainInteraction$FASCATEG | predictor | 207.30 |
| NCES Survey | ||
First output model 1 comments
The key things to look at in a Linear regression model are:
Coefficient-Estimate - This is the amount that the chosen inputs for the model have an impact on the selected output variable, therefore the higher the better in terms of the value of the model.
Coefficient-Std. Error - Needs to be low to show accuracy of the model
Coefficient-t value - a high t value is a good indicator that the null hypothesis can be rejected, inconjunction with the p value
Coefficient Pr(>|t|) - A low p value will enable the rejection of the null hypothesis, with the lower the value the higher the significance level.
Residual standard error - Average of model and how well the model is at predicting the data on average
R-squared and Adjusted R-squared - This is always between 0 to 1, high value are better Percentage of variation in the response variable that is explained by variation in the explanatory variable, this is use to calculate how well the model is doing to explain the relationship. Adjusted R squared does not take all variables, it only included significant variable are considered in adjusted R squared.
F-statistic - This is indicates the relationship between predictor and response, the higher the value will give more reasons to reject null hypothesis.
p-value - normally p value less than 0.05 indicate that overall model is significant
Adult intentions first model run
Participant profile and Perceived Ethos have the highest Coefficient values for this first pass of the model,both with low Std error values.
The t value for both Participant profile and Perceived Ethos, are the highest of the input values and they they also have the only significant p values.
The r squared of 33%, is a good starting point, for the model, in terms of the amount of variablity in the chosen outcome variable that can be account for through the model,
Then from reviewing the F statistic, which is high, and the residual error is low, it is clear that ‘Participant profile’ and ’Perceived ethos, are the two dominant contributors towards the outcome of Adult intention.
The Variance Inflation Factor (VIF) which checks for multicollinearity are below 2.5 and the threshold of 5, indicate the presence of correlation between the variables in the model is minimal.
Interactions show that they account for 2% of variability in the output variable, with ‘Sex’ having the largest coefficient effect, although this is non significant.
Therefore the next stage of the analysis is to run the model again with just those two input variables and re assess the model
| Linear Regression Model Output | ||||
| Dependent Variable: AdultIntentions | ||||
| R.Squared | Adjusted.R.Squared | F.Statistic | DF1 | DF2 |
|---|---|---|---|---|
| 0.321 | 0.318 | 131.553 | 2.000 | 557.000 |
| NCES Survey | ||||
| Linear Regression Model CoEfficients | ||||
| Dependent Variable: AdultIntentions | ||||
| Variable | Coefficient | StdError | tValue | PValue |
|---|---|---|---|---|
| (Intercept) | 0.579 | 0.105 | 5.528 | 0.000 |
| ParticipProfile | 0.545 | 0.042 | 12.869 | 0.000 |
| PerceivedEthos | 0.251 | 0.038 | 6.611 | 0.000 |
| NCES Survey | ||||
| Anova Model Output | |||||
| Dependent Variable: AdultIntentions | |||||
| Variable | Df | Sum Sq | Mean Sq | F Value | P(>F) |
|---|---|---|---|---|---|
| ParticipProfile | 1 | 61.005 | 61.005 | 219.400 | 0.000 |
| PerceivedEthos | 1 | 12.153 | 12.153 | 43.706 | 0.000 |
| Residuals | 557 | 154.877 | 0.278 | NA | NA |
| NCES Survey | |||||
| Variance Inflation Factor (VIF) Values | |
| Multicollinearity Assessment For Dependent Variable: AdultIntentions | |
| Variable | VIF |
|---|---|
| ParticipProfile | 1.057 |
| PerceivedEthos | 1.057 |
| NCES Survey | |
First output - Adult Intentions, final model comments
The r squared of 32%, variability is a slightly less than the first model, but from reviewing the coefficient scores and the t and p values, it is clear that Participant profile and Perceived ethos, still have a big impact on the outcome of Adult intention. The standard error has been reduced in the second version of the model and the p value has improved so this model is more significant than the first version.
Therefore we can conclude that perceived ethos and participant profile account for 32% variability in the intention as an adult to vote.
Second Output Analysis - Overall Trust
| Annova Model Output | ||||
| Dependent Variable: OverallTrust | ||||
| Df | Sum.Sq | Mean.Sq | F.value | Pr..F. |
|---|---|---|---|---|
| 1 | 38.40963791 | 38.40963791 | 156.9534566 | 7.038989e-32 |
| 1 | 3.90028460 | 3.90028460 | 15.9377485 | 7.427682e-05 |
| 1 | 1.98663782 | 1.98663782 | 8.1180061 | 4.545744e-03 |
| 1 | 14.73714528 | 14.73714528 | 60.2204556 | 4.109116e-14 |
| 1 | 0.09779462 | 0.09779462 | 0.3996185 | 5.275471e-01 |
| 1 | 11.59758368 | 11.59758368 | 47.3912524 | 1.580188e-11 |
| 554 | 135.57483766 | 0.24471992 | NA | NA |
| NCES Survey | ||||
| Linear Regression Model Output | ||||
| Dependent Variable: OverallTrust | ||||
| Variable | Coefficient | StdError | tValue | PValue |
|---|---|---|---|---|
| (Intercept) | 0.654 | 0.115 | 5.680 | 0.000 |
| OpenClassClimate | 0.134 | 0.042 | 3.211 | 0.001 |
| ParticipProfile | 0.036 | 0.046 | 0.780 | 0.436 |
| CitActivities | 0.097 | 0.047 | 2.067 | 0.039 |
| TeacherRelationships | 0.048 | 0.037 | 1.281 | 0.201 |
| CurricCoverage | 0.014 | 0.043 | 0.326 | 0.745 |
| PerceivedEthos | 0.392 | 0.057 | 6.884 | 0.000 |
| NCES Survey | ||||
| Variance Inflation Factor (VIF) Values | |
| For Multicollinearity Assessment | |
| Variable | VIF |
|---|---|
| OpenClassClimate | 1.705 |
| ParticipProfile | 1.430 |
| CitActivities | 1.814 |
| TeacherRelationships | 2.115 |
| CurricCoverage | 1.480 |
| PerceivedEthos | 2.573 |
| NCES Survey | |
| Annova Model Output | ||||
| Dependent Variable: OverallTrust , Interactions: Sex, Ethnicity, FASCATEG | ||||
| Df | Sum.Sq | Mean.Sq | F.value | Pr..F. |
|---|---|---|---|---|
| 1 | 4.92173007 | 4.92173007 | 13.87499684 | 0.0002154353 |
| 1 | 3.41577111 | 3.41577111 | 9.62950277 | 0.0020126007 |
| 1 | 1.35076685 | 1.35076685 | 3.80798733 | 0.0515132034 |
| 1 | 0.00438438 | 0.00438438 | 0.01236014 | 0.9115169986 |
| 1 | 0.10276521 | 0.10276521 | 0.28970849 | 0.5906239666 |
| 1 | 0.02255355 | 0.02255355 | 0.06358139 | 0.8010160957 |
| 1 | 0.32614142 | 0.32614142 | 0.91943504 | 0.3380423852 |
| 553 | 196.15980898 | 0.35471937 | NA | NA |
| NCES Survey | ||||
| Linear Regression Model Output | ||||
| Dependent Variable: OverallTrust , Interactions: Sex, Ethnicity, FASCATEG | ||||
| Variable | Coefficient | StdError | tValue | PValue |
|---|---|---|---|---|
| (Intercept) | 2.390 | 0.637 | 3.752 | 0.000 |
| trainInteraction$Sex | −0.208 | 0.368 | −0.565 | 0.572 |
| trainInteraction$EthnicBinary | −0.225 | 0.406 | −0.556 | 0.579 |
| trainInteraction$FASCATEG | −0.289 | 0.325 | −0.890 | 0.374 |
| trainInteraction$Sex:trainInteraction$EthnicBinary | 0.215 | 0.236 | 0.913 | 0.362 |
| trainInteraction$Sex:trainInteraction$FASCATEG | 0.206 | 0.191 | 1.077 | 0.282 |
| trainInteraction$EthnicBinary:trainInteraction$FASCATEG | 0.203 | 0.205 | 0.988 | 0.324 |
| trainInteraction$Sex:trainInteraction$EthnicBinary:trainInteraction$FASCATEG | −0.116 | 0.121 | −0.959 | 0.338 |
| NCES Survey | ||||
| Variance Inflation Factor (VIF) Values | ||
| For Multicollinearity Assessment with interactions | ||
| Variable | type | VIF |
|---|---|---|
| trainInteraction$Sex | predictor | 65.303 |
| trainInteraction$EthnicBinary | predictor | 63.401 |
| trainInteraction$FASCATEG | predictor | 89.350 |
| trainInteraction$Sex:trainInteraction$EthnicBinary | predictor | 125.686 |
| trainInteraction$Sex:trainInteraction$FASCATEG | predictor | 144.695 |
| trainInteraction$EthnicBinary:trainInteraction$FASCATEG | predictor | 159.462 |
| trainInteraction$Sex:trainInteraction$EthnicBinary:trainInteraction$FASCATEG | predictor | 216.348 |
| NCES Survey | ||
Third Output Analysis - Personal Toleration
| Annova Model Output | ||||
| Dependent Variable: PersonalToleration | ||||
| Df | Sum.Sq | Mean.Sq | F.value | Pr..F. |
|---|---|---|---|---|
| 1 | 10.69702990 | 10.69702990 | 23.36234288 | 1.740051e-06 |
| 1 | 0.00691824 | 0.00691824 | 0.01510945 | 9.022146e-01 |
| 1 | 2.62280025 | 2.62280025 | 5.72820300 | 1.702636e-02 |
| 1 | 4.63197600 | 4.63197600 | 10.11624840 | 1.551891e-03 |
| 1 | 0.55838522 | 0.55838522 | 1.21951486 | 2.699353e-01 |
| 1 | 0.11739534 | 0.11739534 | 0.25639175 | 6.128114e-01 |
| 554 | 253.66268261 | 0.45787488 | NA | NA |
| NCES Survey | ||||
| Linear Regression Model Output | ||||
| Dependent Variable: PersonalToleration | ||||
| Variable | Coefficient | StdError | tValue | PValue |
|---|---|---|---|---|
| (Intercept) | 2.285 | 0.162 | 14.105 | 0.000 |
| OpenClassClimate | 0.190 | 0.058 | 3.269 | 0.001 |
| ParticipProfile | 0.035 | 0.065 | 0.533 | 0.594 |
| CitActivities | −0.157 | 0.060 | −2.627 | 0.009 |
| TeacherRelationships | 0.105 | 0.051 | 2.066 | 0.039 |
| CurricCoverage | 0.061 | 0.056 | 1.083 | 0.279 |
| PerceivedEthos | 0.039 | 0.078 | 0.506 | 0.613 |
| NCES Survey | ||||
| Variance Inflation Factor (VIF) Values | |
| For Multicollinearity Assessment | |
| Variable | VIF |
|---|---|
| OpenClassClimate | 1.705 |
| ParticipProfile | 1.359 |
| CitActivities | 1.694 |
| TeacherRelationships | 2.065 |
| CurricCoverage | 1.398 |
| PerceivedEthos | 2.561 |
| NCES Survey | |
| Annova Model Output | ||||
| Dependent Variable: PersonalToleration , Interactions: Sex, Ethnicity, FASCATEG | ||||
| Df | Sum.Sq | Mean.Sq | F.value | Pr..F. |
|---|---|---|---|---|
| 1 | 9.26323554 | 9.26323554 | 20.20776537 | 8.466939e-06 |
| 1 | 7.28161154 | 7.28161154 | 15.88484896 | 7.633920e-05 |
| 1 | 1.10483123 | 1.10483123 | 2.41019135 | 1.211197e-01 |
| 1 | 0.03713842 | 0.03713842 | 0.08101753 | 7.760297e-01 |
| 1 | 0.12595361 | 0.12595361 | 0.27476804 | 6.003611e-01 |
| 1 | 0.69929853 | 0.69929853 | 1.52552104 | 2.173104e-01 |
| 1 | 0.29003096 | 0.29003096 | 0.63270308 | 4.267068e-01 |
| 553 | 253.49508772 | 0.45839980 | NA | NA |
| NCES Survey | ||||
| Linear Regression Model Output | ||||
| Dependent Variable: PersonalToleration , Interactions: Sex, Ethnicity, FASCATEG | ||||
| Variable | Coefficient | StdError | tValue | PValue |
|---|---|---|---|---|
| (Intercept) | 2.923 | 0.741 | 3.944 | 0.000 |
| trainInteraction$Sex | −0.412 | 0.430 | −0.959 | 0.338 |
| trainInteraction$EthnicBinary | 0.163 | 0.458 | 0.356 | 0.722 |
| trainInteraction$FASCATEG | 0.007 | 0.375 | 0.020 | 0.984 |
| trainInteraction$Sex:trainInteraction$EthnicBinary | 0.163 | 0.267 | 0.611 | 0.541 |
| trainInteraction$Sex:trainInteraction$FASCATEG | 0.135 | 0.223 | 0.605 | 0.545 |
| trainInteraction$EthnicBinary:trainInteraction$FASCATEG | 0.073 | 0.231 | 0.318 | 0.751 |
| trainInteraction$Sex:trainInteraction$EthnicBinary:trainInteraction$FASCATEG | −0.109 | 0.137 | −0.795 | 0.427 |
| NCES Survey | ||||
| Variance Inflation Factor (VIF) Values | ||
| For Multicollinearity Assessment with interactions | ||
| Variable | type | VIF |
|---|---|---|
| trainInteraction$Sex | predictor | 71.134 |
| trainInteraction$EthnicBinary | predictor | 62.134 |
| trainInteraction$FASCATEG | predictor | 91.947 |
| trainInteraction$Sex:trainInteraction$EthnicBinary | predictor | 125.835 |
| trainInteraction$Sex:trainInteraction$FASCATEG | predictor | 148.464 |
| trainInteraction$EthnicBinary:trainInteraction$FASCATEG | predictor | 154.344 |
| trainInteraction$Sex:trainInteraction$EthnicBinary:trainInteraction$FASCATEG | predictor | 208.719 |
| NCES Survey | ||
Fourth Output Analysis - Political Toleration
| Annova Model Output | ||||
| Dependent Variable: PoliticalToleration | ||||
| Df | Sum.Sq | Mean.Sq | F.value | Pr..F. |
|---|---|---|---|---|
| 1 | 25.57944724 | 25.57944724 | 64.9339072 | 4.799743e-15 |
| 1 | 0.05323975 | 0.05323975 | 0.1351501 | 7.132915e-01 |
| 1 | 0.39659173 | 0.39659173 | 1.0067556 | 3.161202e-01 |
| 1 | 1.35779250 | 1.35779250 | 3.4467818 | 6.390666e-02 |
| 1 | 0.53966327 | 0.53966327 | 1.3699453 | 2.423254e-01 |
| 1 | 1.31190713 | 1.31190713 | 3.3303009 | 6.855376e-02 |
| 553 | 217.84357266 | 0.39393051 | NA | NA |
| NCES Survey | ||||
| Linear Regression Model Output | ||||
| Dependent Variable: PoliticalToleration | ||||
| Variable | Coefficient | StdError | tValue | PValue |
|---|---|---|---|---|
| (Intercept) | 2.241 | 0.144 | 15.582 | 0.000 |
| OpenClassClimate | 0.261 | 0.052 | 5.027 | 0.000 |
| ParticipProfile | 0.012 | 0.061 | 0.192 | 0.848 |
| CitActivities | −0.084 | 0.058 | −1.450 | 0.148 |
| TeacherRelationships | 0.015 | 0.047 | 0.314 | 0.754 |
| CurricCoverage | 0.053 | 0.051 | 1.054 | 0.292 |
| PerceivedEthos | 0.129 | 0.071 | 1.825 | 0.069 |
| NCES Survey | ||||
| Variance Inflation Factor (VIF) Values | |
| For Multicollinearity Assessment | |
| Variable | VIF |
|---|---|
| OpenClassClimate | 1.710 |
| ParticipProfile | 1.441 |
| CitActivities | 1.701 |
| TeacherRelationships | 2.077 |
| CurricCoverage | 1.360 |
| PerceivedEthos | 2.556 |
| NCES Survey | |
| Annova Model Output | ||||
| Dependent Variable: PoliticalToleration , Interactions: Sex, Ethnicity, FASCATEG | ||||
| Df | Sum.Sq | Mean.Sq | F.value | Pr..F. |
|---|---|---|---|---|
| 1 | 10.08896335 | 10.08896335 | 24.6628376 | 9.117596e-07 |
| 1 | 7.50763102 | 7.50763102 | 18.3526769 | 2.165526e-05 |
| 1 | 0.49513422 | 0.49513422 | 1.2103736 | 2.717377e-01 |
| 1 | 2.36539626 | 2.36539626 | 5.7822971 | 1.651667e-02 |
| 1 | 0.31911123 | 0.31911123 | 0.7800790 | 3.775015e-01 |
| 1 | 0.41625460 | 0.41625460 | 1.0175495 | 3.135429e-01 |
| 1 | 0.08003117 | 0.08003117 | 0.1956391 | 6.584374e-01 |
| 552 | 225.80969243 | 0.40907553 | NA | NA |
| NCES Survey | ||||
| Linear Regression Model Output | ||||
| Dependent Variable: PoliticalToleration , Interactions: Sex, Ethnicity, FASCATEG | ||||
| Variable | Coefficient | StdError | tValue | PValue |
|---|---|---|---|---|
| (Intercept) | 3.578 | 0.695 | 5.145 | 0.000 |
| trainInteraction$Sex | −0.615 | 0.402 | −1.528 | 0.127 |
| trainInteraction$EthnicBinary | −0.147 | 0.431 | −0.341 | 0.733 |
| trainInteraction$FASCATEG | 0.113 | 0.344 | 0.330 | 0.742 |
| trainInteraction$Sex:trainInteraction$EthnicBinary | 0.332 | 0.253 | 1.310 | 0.191 |
| trainInteraction$Sex:trainInteraction$FASCATEG | 0.026 | 0.203 | 0.130 | 0.896 |
| trainInteraction$EthnicBinary:trainInteraction$FASCATEG | 0.014 | 0.214 | 0.068 | 0.946 |
| trainInteraction$Sex:trainInteraction$EthnicBinary:trainInteraction$FASCATEG | −0.057 | 0.128 | −0.442 | 0.658 |
| NCES Survey | ||||
| Variance Inflation Factor (VIF) Values | ||
| For Multicollinearity Assessment with interactions | ||
| Variable | type | VIF |
|---|---|---|
| trainInteraction$Sex | predictor | 69.029 |
| trainInteraction$EthnicBinary | predictor | 62.895 |
| trainInteraction$FASCATEG | predictor | 88.593 |
| trainInteraction$Sex:trainInteraction$EthnicBinary | predictor | 114.847 |
| trainInteraction$Sex:trainInteraction$FASCATEG | predictor | 138.453 |
| trainInteraction$EthnicBinary:trainInteraction$FASCATEG | predictor | 148.816 |
| trainInteraction$Sex:trainInteraction$EthnicBinary:trainInteraction$FASCATEG | predictor | 186.047 |
| NCES Survey | ||
Fifth Output Analysis - Support Democ
| Annova Model Output | ||||
| Dependent Variable: SupportDemoc | ||||
| Df | Sum.Sq | Mean.Sq | F.value | Pr..F. |
|---|---|---|---|---|
| 1 | 37.9921225 | 37.9921225 | 64.266993 | 6.498778e-15 |
| 1 | 0.8427391 | 0.8427391 | 1.425567 | 2.330012e-01 |
| 1 | 3.8475397 | 3.8475397 | 6.508449 | 1.100441e-02 |
| 1 | 6.9204020 | 6.9204020 | 11.706464 | 6.688660e-04 |
| 1 | 2.3425841 | 2.3425841 | 3.962686 | 4.701117e-02 |
| 1 | 7.3209412 | 7.3209412 | 12.384011 | 4.686782e-04 |
| 553 | 326.9118857 | 0.5911607 | NA | NA |
| NCES Survey | ||||
| Linear Regression Model Output | ||||
| Dependent Variable: SupportDemoc | ||||
| Variable | Coefficient | StdError | tValue | PValue |
|---|---|---|---|---|
| (Intercept) | 1.544 | 0.178 | 8.683 | 0.000 |
| OpenClassClimate | 0.268 | 0.062 | 4.323 | 0.000 |
| ParticipProfile | 0.113 | 0.071 | 1.586 | 0.113 |
| CitActivities | −0.221 | 0.067 | −3.270 | 0.001 |
| TeacherRelationships | 0.026 | 0.056 | 0.464 | 0.643 |
| CurricCoverage | 0.101 | 0.063 | 1.598 | 0.111 |
| PerceivedEthos | 0.298 | 0.085 | 3.519 | 0.000 |
| NCES Survey | ||||
| Variance Inflation Factor (VIF) Values | |
| For Multicollinearity Assessment | |
| Variable | VIF |
|---|---|
| OpenClassClimate | 1.605 |
| ParticipProfile | 1.415 |
| CitActivities | 1.678 |
| TeacherRelationships | 1.931 |
| CurricCoverage | 1.418 |
| PerceivedEthos | 2.362 |
| NCES Survey | |
| Annova Model Output | ||||
| Dependent Variable: SupportDemoc , Interactions: Sex, Ethnicity, FASCATEG | ||||
| Df | Sum.Sq | Mean.Sq | F.value | Pr..F. |
|---|---|---|---|---|
| 1 | 3.7838730 | 3.7838730 | 5.7298738 | 0.017011540 |
| 1 | 6.3676874 | 6.3676874 | 9.6425133 | 0.001998819 |
| 1 | 1.0616746 | 1.0616746 | 1.6076812 | 0.205352610 |
| 1 | 5.8565954 | 5.8565954 | 8.8685726 | 0.003028648 |
| 1 | 0.3806087 | 0.3806087 | 0.5763512 | 0.448070162 |
| 1 | 0.6950944 | 0.6950944 | 1.0525732 | 0.305364572 |
| 1 | 3.5049510 | 3.5049510 | 5.3075055 | 0.021604316 |
| 552 | 364.5277298 | 0.6603763 | NA | NA |
| NCES Survey | ||||
| Linear Regression Model Output | ||||
| Dependent Variable: SupportDemoc , Interactions: Sex, Ethnicity, FASCATEG | ||||
| Variable | Coefficient | StdError | tValue | PValue |
|---|---|---|---|---|
| (Intercept) | 5.884 | 0.892 | 6.598 | 0.000 |
| trainInteraction$Sex | −1.896 | 0.524 | −3.618 | 0.000 |
| trainInteraction$EthnicBinary | −1.647 | 0.550 | −2.993 | 0.003 |
| trainInteraction$FASCATEG | −1.098 | 0.440 | −2.493 | 0.013 |
| trainInteraction$Sex:trainInteraction$EthnicBinary | 1.063 | 0.325 | 3.275 | 0.001 |
| trainInteraction$Sex:trainInteraction$FASCATEG | 0.643 | 0.267 | 2.412 | 0.016 |
| trainInteraction$EthnicBinary:trainInteraction$FASCATEG | 0.685 | 0.272 | 2.517 | 0.012 |
| trainInteraction$Sex:trainInteraction$EthnicBinary:trainInteraction$FASCATEG | −0.377 | 0.164 | −2.304 | 0.022 |
| NCES Survey | ||||
| Variance Inflation Factor (VIF) Values | ||
| For Multicollinearity Assessment with interactions | ||
| Variable | type | VIF |
|---|---|---|
| trainInteraction$Sex | predictor | 72.949 |
| trainInteraction$EthnicBinary | predictor | 61.917 |
| trainInteraction$FASCATEG | predictor | 88.757 |
| trainInteraction$Sex:trainInteraction$EthnicBinary | predictor | 129.467 |
| trainInteraction$Sex:trainInteraction$FASCATEG | predictor | 147.556 |
| trainInteraction$EthnicBinary:trainInteraction$FASCATEG | predictor | 149.789 |
| trainInteraction$Sex:trainInteraction$EthnicBinary:trainInteraction$FASCATEG | predictor | 210.360 |
| NCES Survey | ||
Sixth Output Analysis - Important For You
| Annova Model Output | ||||
| Dependent Variable: ImportantForYou | ||||
| Df | Sum.Sq | Mean.Sq | F.value | Pr..F. |
|---|---|---|---|---|
| 1 | 45.2417379 | 45.2417379 | 56.8959407 | 1.903273e-13 |
| 1 | 4.0445936 | 4.0445936 | 5.0864748 | 2.450399e-02 |
| 1 | 0.6297889 | 0.6297889 | 0.7920216 | 3.738772e-01 |
| 1 | 12.1240358 | 12.1240358 | 15.2471690 | 1.059949e-04 |
| 1 | 2.7059951 | 2.7059951 | 3.4030553 | 6.561132e-02 |
| 1 | 3.1055609 | 3.1055609 | 3.9055486 | 4.862433e-02 |
| 552 | 438.9318298 | 0.7951664 | NA | NA |
| NCES Survey | ||||
| Linear Regression Model Output | ||||
| Dependent Variable: ImportantForYou | ||||
| Variable | Coefficient | StdError | tValue | PValue |
|---|---|---|---|---|
| (Intercept) | 1.219 | 0.214 | 5.698 | 0.000 |
| OpenClassClimate | 0.268 | 0.075 | 3.562 | 0.000 |
| ParticipProfile | 0.144 | 0.084 | 1.719 | 0.086 |
| CitActivities | −0.135 | 0.081 | −1.653 | 0.099 |
| TeacherRelationships | 0.110 | 0.069 | 1.595 | 0.111 |
| CurricCoverage | 0.138 | 0.077 | 1.792 | 0.074 |
| PerceivedEthos | 0.205 | 0.104 | 1.976 | 0.049 |
| NCES Survey | ||||
| Variance Inflation Factor (VIF) Values | |
| For Multicollinearity Assessment | |
| Variable | VIF |
|---|---|
| OpenClassClimate | 1.698 |
| ParticipProfile | 1.367 |
| CitActivities | 1.716 |
| TeacherRelationships | 2.106 |
| CurricCoverage | 1.390 |
| PerceivedEthos | 2.608 |
| NCES Survey | |
| Annova Model Output | ||||
| Dependent Variable: ImportantForYou , Interactions: Sex, Ethnicity, FASCATEG | ||||
| Df | Sum.Sq | Mean.Sq | F.value | Pr..F. |
|---|---|---|---|---|
| 1 | 5.71399441 | 5.71399441 | 6.33649257 | 0.01211046 |
| 1 | 0.19479954 | 0.19479954 | 0.21602154 | 0.64227178 |
| 1 | 3.10285954 | 3.10285954 | 3.44089354 | 0.06413523 |
| 1 | 0.61645446 | 0.61645446 | 0.68361269 | 0.40870337 |
| 1 | 0.13431529 | 0.13431529 | 0.14894796 | 0.69969173 |
| 1 | 0.01318114 | 0.01318114 | 0.01461713 | 0.90381325 |
| 1 | 0.13827572 | 0.13827572 | 0.15333986 | 0.69551528 |
| 551 | 496.86966193 | 0.90175982 | NA | NA |
| NCES Survey | ||||
| Linear Regression Model Output | ||||
| Dependent Variable: ImportantForYou , Interactions: Sex, Ethnicity, FASCATEG | ||||
| Variable | Coefficient | StdError | tValue | PValue |
|---|---|---|---|---|
| (Intercept) | 3.948 | 1.061 | 3.722 | 0.000 |
| trainInteraction$Sex | −0.648 | 0.621 | −1.044 | 0.297 |
| trainInteraction$EthnicBinary | −0.473 | 0.656 | −0.722 | 0.471 |
| trainInteraction$FASCATEG | −0.161 | 0.528 | −0.305 | 0.760 |
| trainInteraction$Sex:trainInteraction$EthnicBinary | 0.259 | 0.385 | 0.672 | 0.502 |
| trainInteraction$Sex:trainInteraction$FASCATEG | 0.153 | 0.311 | 0.491 | 0.623 |
| trainInteraction$EthnicBinary:trainInteraction$FASCATEG | 0.133 | 0.326 | 0.409 | 0.683 |
| trainInteraction$Sex:trainInteraction$EthnicBinary:trainInteraction$FASCATEG | −0.075 | 0.192 | −0.392 | 0.696 |
| NCES Survey | ||||
| Variance Inflation Factor (VIF) Values | ||
| For Multicollinearity Assessment with interactions | ||
| Variable | type | VIF |
|---|---|---|
| trainInteraction$Sex | predictor | 74.057 |
| trainInteraction$EthnicBinary | predictor | 64.608 |
| trainInteraction$FASCATEG | predictor | 90.985 |
| trainInteraction$Sex:trainInteraction$EthnicBinary | predictor | 128.526 |
| trainInteraction$Sex:trainInteraction$FASCATEG | predictor | 153.300 |
| trainInteraction$EthnicBinary:trainInteraction$FASCATEG | predictor | 154.356 |
| trainInteraction$Sex:trainInteraction$EthnicBinary:trainInteraction$FASCATEG | predictor | 206.816 |
| NCES Survey | ||