ACT Survey Analysis

Author

Dr Phil Barter

Preliminary Data analysis

$CurricCoverage


$OpenClassClimate


$CitActivities


$ParticipProfile


$AdultIntentions


$OverallTrust


$PersonalToleration


$PoliticalToleration


$SupportDemoc


$KnowledgeTotal


$PerceivedEthos

First Output Analysis - Adult Intention

Annova Model Output
Dependent Variable: AdultIntentions
Df Sum.Sq Mean.Sq F.value Pr..F.
1 21.35198117 21.35198117 77.1120664 2.020995e-17
1 47.47311622 47.47311622 171.4477950 2.584445e-34
1 0.63521261 0.63521261 2.2940521 1.304418e-01
1 2.41856986 2.41856986 8.7345956 3.255373e-03
1 0.04821962 0.04821962 0.1741438 6.766170e-01
1 2.98489580 2.98489580 10.7798654 1.090928e-03
553 153.12318989 0.27689546 NA NA
NCES Survey
Linear Regression Model Output
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
Variance Inflation Factor (VIF) Values
For Multicollinearity Assessment
Variable VIF
OpenClassClimate 1.688
ParticipProfile 1.550
CitActivities 1.847
TeacherRelationships 1.973
CurricCoverage 1.440
PerceivedEthos 2.416
NCES Survey
Annova Model Output
Dependent Variable: AdultIntentions , Interactions: Sex, Ethnicity, FASCATEG
Df Sum.Sq Mean.Sq F.value Pr..F.
1 0.45364257 0.45364257 1.12414822 0.28949068
1 1.60710098 1.60710098 3.98247395 0.04646695
1 0.98279813 0.98279813 2.43542129 0.11919513
1 1.46102918 1.46102918 3.62050095 0.05759173
1 0.04030539 0.04030539 0.09987870 0.75209471
1 0.69519530 0.69519530 1.72272756 0.18988779
1 0.03917010 0.03917010 0.09706541 0.75549772
552 222.75594354 0.40354338 NA NA
NCES Survey
Linear Regression Model Output
Dependent Variable: AdultIntentions , Interactions: Sex, Ethnicity, FASCATEG
Variable Coefficient StdError tValue PValue
(Intercept) 1.875 0.712 2.634 0.009
trainInteraction$Sex 0.360 0.413 0.871 0.384
trainInteraction$EthnicBinary 0.105 0.440 0.238 0.812
trainInteraction$FASCATEG 0.027 0.358 0.076 0.940
trainInteraction$Sex:trainInteraction$EthnicBinary −0.254 0.261 −0.976 0.329
trainInteraction$Sex:trainInteraction$FASCATEG −0.078 0.212 −0.370 0.712
trainInteraction$EthnicBinary:trainInteraction$FASCATEG 0.033 0.220 0.152 0.879
trainInteraction$Sex:trainInteraction$EthnicBinary:trainInteraction$FASCATEG 0.041 0.132 0.312 0.755
NCES Survey
Variance Inflation Factor (VIF) Values
For Multicollinearity Assessment with interactions
Variable type VIF
trainInteraction$Sex predictor 71.946
trainInteraction$EthnicBinary predictor 65.164
trainInteraction$FASCATEG predictor 95.606
trainInteraction$Sex:trainInteraction$EthnicBinary predictor 122.483
trainInteraction$Sex:trainInteraction$FASCATEG predictor 150.018
trainInteraction$EthnicBinary:trainInteraction$FASCATEG predictor 162.378
trainInteraction$Sex:trainInteraction$EthnicBinary:trainInteraction$FASCATEG predictor 207.297
NCES Survey

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

Overall Findings