Variables to Cases



[Chapter11a] 


Generated VariablesGenerated Variables, table, 1 levels of column headers and 0 levels of row headers, table with 2 columns and 6 rows
Name Label
wave <none>
emosup <none>
victim victim_wave1: Student-Perceived Victimization at Wave 1
close close_wave1: Student-Teacher Closeness at Wave 1
Processing StatisticsProcessing Statistics, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 3 rows
Variables In 28
Variables Out 23


Chapter 11a: Descriptive Statistics for Level-1 Time-Varying Student Variables



Summarize



[Chapter11a] 


Case Processing SummaryCase Processing Summary, table, 3 levels of column headers and 1 levels of row headers, table with 7 columns and 8 rows
  Cases
Included Excluded Total
N Percent N Percent N Percent
close: Time-Varying Student-Teacher Closeness 1731 100.0% 0 0.0% 1731 100.0%
WSclose: Within-Student Student-Teacher Closeness (0=SM) 1731 100.0% 0 0.0% 1731 100.0%
victim: Time-Varying Student-Perceived Victimization 1731 100.0% 0 0.0% 1731 100.0%
WSvictim: Within-Student Student-Perceived Victimization (0=SM) 1731 100.0% 0 0.0% 1731 100.0%
ReportReport, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 8 rows
  close: Time-Varying Student-Teacher Closeness WSclose: Within-Student Student-Teacher Closeness (0=SM) victim: Time-Varying Student-Perceived Victimization WSvictim: Within-Student Student-Perceived Victimization (0=SM)
N 1731 1731 1731 1731
Mean 4.21 .0000 3.13 .0000
Std. Deviation .952 .52054 .991 .47476
Variance .907 .271 .982 .225
Minimum 1 -2.66 1 -2.33
Maximum 7 2.93 6 2.19


Chapter 11a: Descriptive Statistics for Level-1 Time-Varying Class Variables



Summarize



[ClassPerWave11a] 


Case Processing SummaryCase Processing Summary, table, 3 levels of column headers and 1 levels of row headers, table with 7 columns and 6 rows
  Cases
Included Excluded Total
N Percent N Percent N Percent
emosup 99 100.0% 0 0.0% 99 100.0%
WCemosup 99 100.0% 0 0.0% 99 100.0%
ReportReport, table, 1 levels of column headers and 1 levels of row headers, table with 3 columns and 8 rows
  emosup WCemosup
N 99 99
Mean 4.9887 .0000
Std. Deviation .73903 .42800
Variance .546 .183
Minimum 2.97 -1.52
Maximum 6.25 1.20


Chapter 11a: Descriptive Statistics for Level-2 Student Variables



Summarize



[Chapter11amultiv] C:\Dropbox\PilesOfVariance\Chapter11a\SPSS\SPSS_Chapter11a.sav


Case Processing SummaryCase Processing Summary, table, 3 levels of column headers and 1 levels of row headers, table with 7 columns and 9 rows
  Cases
Included Excluded Total
N Percent N Percent N Percent
SMclose: Student Mean Closeness 597 100.0% 0 0.0% 597 100.0%
WCclose: Within-Class Student-Teacher Closeness (0=CM) 597 100.0% 0 0.0% 597 100.0%
SMvictim: Student Mean Victimization 597 100.0% 0 0.0% 597 100.0%
WCvictim: Within-Class Student-Perceived Victimization (0=CM) 597 100.0% 0 0.0% 597 100.0%
girl: Student is Boy=0 or Girl=1 597 100.0% 0 0.0% 597 100.0%
ReportReport, table, 1 levels of column headers and 1 levels of row headers, table with 6 columns and 8 rows
  SMclose: Student Mean Closeness WCclose: Within-Class Student-Teacher Closeness (0=CM) SMvictim: Student Mean Victimization WCvictim: Within-Class Student-Perceived Victimization (0=CM) girl: Student is Boy=0 or Girl=1
N 597 597 597 597 597
Mean 4.2026 .0000 3.1270 .0000 .50
Std. Deviation .80479 .73029 .87393 .83203 .500
Variance .648 .533 .764 .692 .250
Minimum 1.00 -2.80 1.67 -1.63 0
Maximum 5.65 1.80 6.00 2.66 1


Chapter 11a: Descriptive Statistics for Level-3 Class Variables



Summarize



[ClassMeans11a] 


Case Processing SummaryCase Processing Summary, table, 3 levels of column headers and 1 levels of row headers, table with 7 columns and 10 rows
  Cases
Included Excluded Total
N Percent N Percent N Percent
CMclose: Class Mean Student-Teacher Closeness 33 100.0% 0 0.0% 33 100.0%
CMvictim3: Class Mean Student-Perceived Victimization 33 100.0% 0 0.0% 33 100.0%
CMemosup: Class Mean Emotional Support 33 100.0% 0 0.0% 33 100.0%
CMgirl: Percentage Girls in Class 33 100.0% 0 0.0% 33 100.0%
classsize: # Students in Class 33 100.0% 0 0.0% 33 100.0%
grade35: Grade 3=0, Grade5=1 33 100.0% 0 0.0% 33 100.0%
ReportReport, table, 1 levels of column headers and 1 levels of row headers, table with 7 columns and 8 rows
  CMclose: Class Mean Student-Teacher Closeness CMvictim3: Class Mean Student-Perceived Victimization CMemosup: Class Mean Emotional Support CMgirl: Percentage Girls in Class classsize: # Students in Class grade35: Grade 3=0, Grade5=1
N 33 33 33 33 33 33
Mean 4.2167 3.1346 4.9887 .5008 23.09 .6061
Std. Deviation .35616 .27825 .60873 .10360 2.650 .49620
Variance .127 .077 .371 .011 7.023 .246
Minimum 3.35 2.50 3.65 .29 19 .00
Maximum 4.94 3.70 5.88 .76 29 1.00


Ch 11a: Empty Means, Two-Level Model Predicting Student-Teacher Closeness; Occasions Within Students*Classes



Mixed Model Analysis



[Chapter11a] 


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
A(n) FIXED subcommand has no specifications and will therefore be ignored.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 7 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
Random Effects Intercept 1 Identity 1 ClassID * StudentID
Residual     1  
Total 2   3  
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 4283.517
Akaike's Information Criterion (AIC) 4287.517
Hurvich and Tsai's Criterion (AICC) 4287.524
Bozdogan's Criterion (CAIC) 4300.428
Schwarz's Bayesian Criterion (BIC) 4298.428
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 4 rows
Source Numerator df Denominator df F Sig.
Intercept 1 591.545 16406.650 .000
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 5 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 4.204977 .032829 591.545 128.088 .000 4.140502 4.269452
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 6 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .413954 .017405 23.783 .000 .381208 .449512
Intercept [subject = ClassID * StudentID] Variance .498517 .037869 13.164 .000 .429556 .578549
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Eq 11a.1: Empty Means, Three-Level Model Predicting Student-Teacher Closeness; Level-1 Occasions Within Level-2 Students Within Level-3 Classes



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 4 rows
A(n) FIXED subcommand has no specifications and will therefore be ignored.
The covariance structure for random effect with only one level will be changed to Identity.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 8 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
Random Effects Intercept 1 Identity 1 ClassID
Intercept 1 Identity 1 ClassID * StudentID
Residual     1  
Total 3   4  
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 4243.531
Akaike's Information Criterion (AIC) 4249.531
Hurvich and Tsai's Criterion (AICC) 4249.545
Bozdogan's Criterion (CAIC) 4268.899
Schwarz's Bayesian Criterion (BIC) 4265.899
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 4 rows
Source Numerator df Denominator df F Sig.
Intercept 1 30.985 4814.962 .000
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 5 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 4.214604 .060738 30.985 69.390 .000 4.090726 4.338482
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .414220 .017426 23.771 .000 .381436 .449821
Intercept [subject = ClassID] Variance .090089 .030923 2.913 .004 .045972 .176540
Intercept [subject = ClassID * StudentID] Variance .413751 .033984 12.175 .000 .352229 .486019
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Ch 11a: Empty Means, Two-Level Model Predicting Student-Perceived Victimization; Occasions Within Students*Classes



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
A(n) FIXED subcommand has no specifications and will therefore be ignored.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 7 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
Random Effects Intercept 1 Identity 1 ClassID * StudentID
Residual     1  
Total 2   3  
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 4174.283
Akaike's Information Criterion (AIC) 4178.283
Hurvich and Tsai's Criterion (AICC) 4178.290
Bozdogan's Criterion (CAIC) 4191.195
Schwarz's Bayesian Criterion (BIC) 4189.195
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 4 rows
Source Numerator df Denominator df F Sig.
Intercept 1 594.673 7657.315 .000
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 5 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 3.126832 .035733 594.673 87.506 .000 3.056655 3.197010
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 6 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .343964 .014447 23.808 .000 .316782 .373479
Intercept [subject = ClassID * StudentID] Variance .641628 .044462 14.431 .000 .560144 .734967
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Eq 11a.1: Empty Means, Three-Level Model Predicting Student-Perceived Victimization; Level-1 Occasions Within Level-2 Students Within Level-3 Classes



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 4 rows
A(n) FIXED subcommand has no specifications and will therefore be ignored.
The covariance structure for random effect with only one level will be changed to Identity.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 8 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
Random Effects Intercept 1 Identity 1 ClassID
Intercept 1 Identity 1 ClassID * StudentID
Residual     1  
Total 3   4  
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 4168.333
Akaike's Information Criterion (AIC) 4174.333
Hurvich and Tsai's Criterion (AICC) 4174.347
Bozdogan's Criterion (CAIC) 4193.701
Schwarz's Bayesian Criterion (BIC) 4190.701
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 4 rows
Source Numerator df Denominator df F Sig.
Intercept 1 30.244 4393.027 .000
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 5 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 3.130655 .047234 30.244 66.280 .000 3.034223 3.227086
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .343940 .014446 23.809 .000 .316761 .373450
Intercept [subject = ClassID] Variance .032622 .018917 1.724 .085 .010469 .101649
Intercept [subject = ClassID * StudentID] Variance .610704 .043887 13.915 .000 .530471 .703073
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Eq 11a.1: Empty Means, Levels 1 and 3 Model Predicting Class Emotional Support; Level-1 Ocasions Within Level-3 Classes



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
A(n) FIXED subcommand has no specifications and will therefore be ignored.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 7 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
Random Effects Intercept 1 Identity 1 ClassID
Residual     1  
Total 2   3  
a. Dependent Variable: emosup: Time-Varying Class Emotional Support.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 2089.036
Akaike's Information Criterion (AIC) 2093.036
Hurvich and Tsai's Criterion (AICC) 2093.043
Bozdogan's Criterion (CAIC) 2105.948
Schwarz's Bayesian Criterion (BIC) 2103.948
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: emosup: Time-Varying Class Emotional Support.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 4 rows
Source Numerator df Denominator df F Sig.
Intercept 1 31.985 2179.543 .000
a. Dependent Variable: emosup: Time-Varying Class Emotional Support.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 5 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 4.988270 .106848 31.985 46.686 .000 4.770623 5.205916
a. Dependent Variable: emosup: Time-Varying Class Emotional Support.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 6 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .178826 .006137 29.137 .000 .167193 .191269
Intercept [subject = ClassID] Variance .373206 .094208 3.962 .000 .227552 .612091
a. Dependent Variable: emosup: Time-Varying Class Emotional Support.


Eq 11a.1: Empty Means, Levels 1 and 3 Model Predicting Class Emotional Support; Level-1 Ocasions Within Level-3 Classes



Mixed Model Analysis



[ClassPerWave11a] 


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
A(n) FIXED subcommand has no specifications and will therefore be ignored.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 7 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
Random Effects Intercept 1 Identity 1 ClassID
Residual     1  
Total 2   3  
a. Dependent Variable: emosup.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 200.164
Akaike's Information Criterion (AIC) 204.164
Hurvich and Tsai's Criterion (AICC) 204.290
Bozdogan's Criterion (CAIC) 211.334
Schwarz's Bayesian Criterion (BIC) 209.334
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: emosup.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 4 rows
Source Numerator df Denominator df F Sig.
Intercept 1 32.000 2216.366 .000
a. Dependent Variable: emosup.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 5 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 4.988674 .105965 32.000 47.078 .000 4.772830 5.204519
a. Dependent Variable: emosup.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 6 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .271996 .047348 5.745 .000 .193369 .382593
Intercept [subject = ClassID] Variance .279881 .093971 2.978 .003 .144937 .540467
a. Dependent Variable: emosup.


Eq 11a.3: Saturated Means, Unstructured Level-3 and Level-2 Variances; Predicting Student Closeness



Mixed Model Analysis



[Chapter11a] 


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 7 columns and 8 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
wave 3   2    
Random Effects wave 3 Unstructured 6 ClassID  
Repeated Effects wave 3 Unstructured 6 ClassID * StudentID 597
Total 10   15    
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 4131.051
Akaike's Information Criterion (AIC) 4155.051
Hurvich and Tsai's Criterion (AICC) 4155.232
Bozdogan's Criterion (CAIC) 4232.507
Schwarz's Bayesian Criterion (BIC) 4220.507
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 5 rows
Source Numerator df Denominator df F Sig.
Intercept 1 31.059 4736.154 .000
wave 2 30.756 7.959 .002
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 9 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 4.084763 .087757 31.249 46.546 .000 3.905839 4.263688
[wave=1] .260512 .065315 31.224 3.989 .000 .127341 .393684
[wave=2] .123711 .045473 31.775 2.721 .010 .031059 .216363
[wave=3] 0b 0 . . . . .
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
b. This parameter is set to zero because it is redundant.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 16 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Repeated Measures UN (1,1) .721022 .043832 16.450 .000 .640034 .812258
UN (2,1) .405151 .036830 11.001 .000 .332967 .477336
UN (2,2) .791380 .047829 16.546 .000 .702977 .890901
UN (3,1) .379578 .038438 9.875 .000 .304241 .454914
UN (3,2) .499028 .041968 11.891 .000 .416772 .581283
UN (3,3) .889175 .054200 16.406 .000 .789046 1.002011
wave [subject = ClassID] UN (1,1) .029707 .017817 1.667 .095 .009169 .096247
UN (2,1) .044213 .021749 2.033 .042 .001586 .086840
UN (2,2) .096590 .036284 2.662 .008 .046257 .201691
UN (3,1) .070754 .029218 2.422 .015 .013489 .128019
UN (3,2) .135298 .044946 3.010 .003 .047205 .223392
UN (3,3) .202417 .064241 3.151 .002 .108668 .377044
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Random Effect Covariance Structure (G)aRandom Effect Covariance Structure (G), table, 1 levels of column headers and 1 levels of row headers, table with 4 columns and 7 rows
  [wave=1] | ClassID [wave=2] | ClassID [wave=3] | ClassID
[wave=1] | ClassID .029707 .044213 .070754
[wave=2] | ClassID .044213 .096590 .135298
[wave=3] | ClassID .070754 .135298 .202417
Unstructured
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 4 columns and 7 rows
  [wave = 1] [wave = 2] [wave = 3]
[wave = 1] .721022 .405151 .379578
[wave = 2] .405151 .791380 .499028
[wave = 3] .379578 .499028 .889175
Unstructured
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Estimated Marginal Means



wave: Wave of Study (1-3)


EstimatesaEstimates, table, 2 levels of column headers and 1 levels of row headers, table with 6 columns and 7 rows
wave: Wave of Study (1-3) Mean Std. Error df 95% Confidence Interval
Lower Bound Upper Bound
1 4.345 .046 31.810 4.251 4.440
2 4.208 .066 30.489 4.075 4.342
3 4.085 .088 31.249 3.906 4.264
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Pairwise ComparisonsaPairwise Comparisons, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 13 rows
(I) wave: Wave of Study (1-3) (J) wave: Wave of Study (1-3) Mean Difference (I-J) Std. Error df Sig.c 95% Confidence Interval for Differencec
Lower Bound Upper Bound
1 2 .137* .049 30.435 .009 .037 .237
3 .261* .065 31.224 .000 .127 .394
2 1 -.137* .049 30.435 .009 -.237 -.037
3 .124* .045 31.775 .010 .031 .216
3 1 -.261* .065 31.224 .000 -.394 -.127
2 -.124* .045 31.775 .010 -.216 -.031
Based on estimated marginal means
*. The mean difference is significant at the .05 level.
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
c. Adjustment for multiple comparisons: Least Significant Difference (equivalent to no adjustments).
Univariate TestsaUnivariate Tests, table, 1 levels of column headers and 0 levels of row headers, table with 4 columns and 5 rows
Numerator df Denominator df F Sig.
2 31.281 7.959 .002
The F tests the effect of wave: Wave of Study (1-3). This test is based on the linearly independent pairwise comparisons among the estimated marginal means.
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Ch 11a: Piecewise Means, Level-3 and Level-2 Random Intercepts; Three-Level Model Predicting Student Closeness



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
The covariance structure for random effect with only one level will be changed to Identity.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 10 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
time1 1   1  
w3 1   1  
Random Effects Intercept 1 Identity 1 ClassID
Intercept 1 Identity 1 ClassID * StudentID
Residual     1  
Total 5   6  
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 4203.294
Akaike's Information Criterion (AIC) 4209.294
Hurvich and Tsai's Criterion (AICC) 4209.308
Bozdogan's Criterion (CAIC) 4228.658
Schwarz's Bayesian Criterion (BIC) 4225.658
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 6 rows
Source Numerator df Denominator df F Sig.
Intercept 1 39.484 4542.212 .000
time1 1 1137.275 14.702 .000
w3 1 1136.291 .082 .774
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 4.351958 .064573 39.484 67.396 .000 4.221398 4.482518
time1 -.143003 .037295 1137.275 -3.834 .000 -.216178 -.069828
w3 .018486 .064382 1136.291 .287 .774 -.107835 .144806
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .397274 .016726 23.752 .000 .365808 .431447
Intercept [subject = ClassID] Variance .090376 .030958 2.919 .004 .046182 .176862
Intercept [subject = ClassID * StudentID] Variance .418988 .033892 12.362 .000 .357558 .490971
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Ch 11a: Piecewise Means, Add Level-2 Random Time Slope; Three-Level Model Predicting Student Closeness



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 2 rows
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 11 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
time1 1   1  
w3 1   1  
Random Effects Intercept 1 Identity 1 ClassID
Intercept + time1b 2 Unstructured 3 ClassID * StudentID
Residual     1  
Total 6   8  
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 4171.294
Akaike's Information Criterion (AIC) 4181.294
Hurvich and Tsai's Criterion (AICC) 4181.329
Bozdogan's Criterion (CAIC) 4213.567
Schwarz's Bayesian Criterion (BIC) 4208.567
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 6 rows
Source Numerator df Denominator df F Sig.
Intercept 1 35.731 5561.966 .000
time1 1 1023.465 16.349 .000
w3 1 581.579 .118 .731
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 4.352097 .058356 35.731 74.579 .000 4.233715 4.470479
time1 -.143918 .035593 1023.465 -4.043 .000 -.213762 -.074074
w3 .020089 .058459 581.579 .344 .731 -.094728 .134906
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 9 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .326002 .019435 16.774 .000 .290051 .366410
Intercept [subject = ClassID] Variance .070167 .026291 2.669 .008 .033667 .146242
Intercept + time1 [subject = ClassID * StudentID] UN (1,1) .401807 .043893 9.154 .000 .324365 .497738
UN (2,1) -.011239 .021684 -.518 .604 -.053739 .031261
UN (2,2) .071331 .017085 4.175 .000 .044608 .114065
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Ch 11a: Piecewise Means, Add Level-3 Random Time Slope; Three-Level Model Predicting Student Closeness



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 11 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
time1 1   1  
w3 1   1  
Random Effects Intercept + time1b 2 Unstructured 3 ClassID
Intercept + time1b 2 Unstructured 3 ClassID * StudentID
Residual     1  
Total 7   10  
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 4133.844
Akaike's Information Criterion (AIC) 4147.844
Hurvich and Tsai's Criterion (AICC) 4147.909
Bozdogan's Criterion (CAIC) 4193.027
Schwarz's Bayesian Criterion (BIC) 4186.027
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 6 rows
Source Numerator df Denominator df F Sig.
Intercept 1 34.318 9042.122 .000
time1 1 97.741 10.061 .002
w3 1 581.000 .094 .759
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 4.346120 .045705 34.318 95.090 .000 4.253267 4.438973
time1 -.139155 .043871 97.741 -3.172 .002 -.226219 -.052091
w3 .017923 .058491 581.000 .306 .759 -.096956 .132802
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .326619 .019475 16.771 .000 .290594 .367110
Intercept + time1 [subject = ClassID] UN (1,1) .026919 .016621 1.620 .105 .008026 .090288
UN (2,1) .021278 .008872 2.398 .016 .003888 .038667
UN (2,2) .022755 .008923 2.550 .011 .010551 .049073
Intercept + time1 [subject = ClassID * StudentID] UN (1,1) .405995 .044448 9.134 .000 .327592 .503163
UN (2,1) -.005610 .020654 -.272 .786 -.046091 .034870
UN (2,2) .049081 .016392 2.994 .003 .025505 .094449
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Eq 11a.4: Unconditional Growth Model Predicting Student Closeness; Random Linear Time Slopes for Level-2 Students and Level-3 Classes



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 10 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
time1 1   1  
Random Effects Intercept + time1b 2 Unstructured 3 ClassID
Intercept + time1b 2 Unstructured 3 ClassID * StudentID
Residual     1  
Total 6   9  
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 4130.098
Akaike's Information Criterion (AIC) 4144.098
Hurvich and Tsai's Criterion (AICC) 4144.163
Bozdogan's Criterion (CAIC) 4189.285
Schwarz's Bayesian Criterion (BIC) 4182.285
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 5 rows
Source Numerator df Denominator df F Sig.
Intercept 1 31.140 9477.847 .000
time1 1 31.234 15.848 .000
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 6 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 4.343067 .044611 31.140 97.354 .000 4.252099 4.434035
time1 -.130189 .032703 31.234 -3.981 .000 -.196866 -.063512
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .326121 .019429 16.785 .000 .290180 .366514
Intercept + time1 [subject = ClassID] UN (1,1) .026921 .016622 1.620 .105 .008026 .090296
UN (2,1) .021271 .008873 2.397 .017 .003880 .038662
UN (2,2) .022765 .008924 2.551 .011 .010558 .049086
Intercept + time1 [subject = ClassID * StudentID] UN (1,1) .406431 .044438 9.146 .000 .328035 .503563
UN (2,1) -.005826 .020641 -.282 .778 -.046282 .034629
UN (2,2) .049292 .016374 3.010 .003 .025705 .094521
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Correlations


CorrelationsCorrelations, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 8 rows
  close: Time-Varying Student-Teacher Closeness Fixed Predicted Values
close: Time-Varying Student-Teacher Closeness Pearson Correlation 1 .114
Sig. (2-tailed)   .000
N 1731 1731
Fixed Predicted Values Pearson Correlation .114 1
Sig. (2-tailed) .000  
N 1731 1731


Ch 11a: Add Class Grade and Class Size; Predicting Student Closeness



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 14 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
time1 1   1  
grade35 1   1  
time1 * grade35 1   1  
size23 1   1  
time1 * size23 1   1  
Random Effects Intercept + time1b 2 Unstructured 3 ClassID
Intercept + time1b 2 Unstructured 3 ClassID * StudentID
Residual     1  
Total 10   13  
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 4144.283
Akaike's Information Criterion (AIC) 4158.283
Hurvich and Tsai's Criterion (AICC) 4158.348
Bozdogan's Criterion (CAIC) 4203.453
Schwarz's Bayesian Criterion (BIC) 4196.453
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 9 rows
Source Numerator df Denominator df F Sig.
Intercept 1 29.705 3729.282 .000
time1 1 30.693 8.119 .008
grade35 1 28.965 .249 .621
time1 * grade35 1 30.128 .258 .615
size23 1 28.665 3.673 .065
time1 * size23 1 29.549 3.157 .086
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 10 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 4.319969 .070740 29.705 61.068 .000 4.175437 4.464500
time1 -.149017 .052298 30.693 -2.849 .008 -.255722 -.042311
grade35 .045625 .091346 28.965 .499 .621 -.141208 .232458
time1 * grade35 .034347 .067666 30.128 .508 .615 -.103820 .172515
size23 -.032632 .017028 28.665 -1.916 .065 -.067476 .002212
time1 * size23 -.022370 .012591 29.549 -1.777 .086 -.048100 .003361
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .326244 .019440 16.782 .000 .290283 .366661
Intercept + time1 [subject = ClassID] UN (1,1) .023112 .016420 1.408 .159 .005742 .093023
UN (2,1) .016826 .008611 1.954 .051 -5.097107E-5 .033702
UN (2,2) .021543 .008836 2.438 .015 .009643 .048130
Intercept + time1 [subject = ClassID * StudentID] UN (1,1) .406714 .044490 9.142 .000 .328230 .503966
UN (2,1) -.005832 .020652 -.282 .778 -.046310 .034646
UN (2,2) .049155 .016372 3.002 .003 .025589 .094422
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Ch 11a: Add Class Size Only; Predicting Student Closeness



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 12 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
time1 1   1  
size23 1   1  
time1 * size23 1   1  
Random Effects Intercept + time1b 2 Unstructured 3 ClassID
Intercept + time1b 2 Unstructured 3 ClassID * StudentID
Residual     1  
Total 8   11  
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 4138.189
Akaike's Information Criterion (AIC) 4152.189
Hurvich and Tsai's Criterion (AICC) 4152.254
Bozdogan's Criterion (CAIC) 4197.368
Schwarz's Bayesian Criterion (BIC) 4190.368
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 7 rows
Source Numerator df Denominator df F Sig.
Intercept 1 30.371 10209.517 .000
time1 1 30.933 16.196 .000
size23 1 30.267 3.516 .070
time1 * size23 1 30.573 2.974 .095
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 8 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 4.347624 .043028 30.371 101.042 .000 4.259794 4.435453
time1 -.128118 .031835 30.933 -4.024 .000 -.193051 -.063185
size23 -.030869 .016462 30.267 -1.875 .070 -.064477 .002738
time1 * size23 -.020952 .012149 30.573 -1.725 .095 -.045745 .003841
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .326205 .019437 16.783 .000 .290249 .366614
Intercept + time1 [subject = ClassID] UN (1,1) .021896 .015670 1.397 .162 .005385 .089029
UN (2,1) .017026 .008284 2.055 .040 .000789 .033263
UN (2,2) .020762 .008490 2.445 .014 .009315 .046276
Intercept + time1 [subject = ClassID * StudentID] UN (1,1) .406527 .044463 9.143 .000 .328089 .503718
UN (2,1) -.005796 .020646 -.281 .779 -.046263 .034670
UN (2,2) .049188 .016371 3.005 .003 .025618 .094442
a. Dependent Variable: close: Time-Varying Student-Teacher Closeness.


Ch 11a: Saturated Means, Unstructured Model Predicting Class Emotional Support; Using Only Level-1 Ocasions Within Level-3 Classes



Mixed Model Analysis



[ClassPerWave11a] 


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 7 columns and 7 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
wave 3   2    
Repeated Effects wave 3 Unstructured 6 ClassID 33
Total 7   9    
a. Dependent Variable: emosup.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 199.192
Akaike's Information Criterion (AIC) 211.192
Hurvich and Tsai's Criterion (AICC) 212.136
Bozdogan's Criterion (CAIC) 232.578
Schwarz's Bayesian Criterion (BIC) 226.578
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: emosup.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 5 rows
Source Numerator df Denominator df F Sig.
Intercept 1 32.000 2216.366 .000
wave 2 32 .975 .388
a. Dependent Variable: emosup.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 9 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 5.089962 .107488 32 47.354 .000 4.871016 5.308908
[wave=1] -.160871 .127932 32 -1.257 .218 -.421460 .099718
[wave=2] -.142992 .126690 32 -1.129 .267 -.401052 .115067
[wave=3] 0b 0 . . . . .
a. Dependent Variable: emosup.
b. This parameter is set to zero because it is redundant.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 10 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Repeated Measures UN (1,1) .596096 .149024 4.000 .000 .365187 .973008
UN (2,1) .355108 .128815 2.757 .006 .102635 .607581
UN (2,2) .679229 .169807 4.000 .000 .416117 1.108706
UN (3,1) .218635 .092715 2.358 .018 .036917 .400354
UN (3,2) .265418 .101461 2.616 .009 .066558 .464277
UN (3,3) .381272 .095318 4.000 .000 .233579 .622351
a. Dependent Variable: emosup.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 4 columns and 7 rows
  [wave = 1] [wave = 2] [wave = 3]
[wave = 1] .596096 .355108 .218635
[wave = 2] .355108 .679229 .265418
[wave = 3] .218635 .265418 .381272
Unstructured
a. Dependent Variable: emosup.


Estimated Marginal Means



wave: Wave of Study (1-3)


EstimatesaEstimates, table, 2 levels of column headers and 1 levels of row headers, table with 6 columns and 7 rows
wave: Wave of Study (1-3) Mean Std. Error df 95% Confidence Interval
Lower Bound Upper Bound
1 4.929 .134 32 4.655 5.203
2 4.947 .143 32.000 4.655 5.239
3 5.090 .107 32 4.871 5.309
a. Dependent Variable: emosup.
Pairwise ComparisonsaPairwise Comparisons, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 12 rows
(I) wave: Wave of Study (1-3) (J) wave: Wave of Study (1-3) Mean Difference (I-J) Std. Error df Sig.b 95% Confidence Interval for Differenceb
Lower Bound Upper Bound
1 2 -.018 .131 32 .892 -.284 .249
3 -.161 .128 32 .218 -.421 .100
2 1 .018 .131 32 .892 -.249 .284
3 -.143 .127 32 .267 -.401 .115
3 1 .161 .128 32 .218 -.100 .421
2 .143 .127 32 .267 -.115 .401
Based on estimated marginal means
a. Dependent Variable: emosup.
b. Adjustment for multiple comparisons: Least Significant Difference (equivalent to no adjustments).
Univariate TestsaUnivariate Tests, table, 1 levels of column headers and 0 levels of row headers, table with 4 columns and 5 rows
Numerator df Denominator df F Sig.
2 32 .975 .388
The F tests the effect of wave: Wave of Study (1-3). This test is based on the linearly independent pairwise comparisons among the estimated marginal means.
a. Dependent Variable: emosup.


Ch 11a: Saturated Means, Random Intercept Model Predicting Class Emotional Support; Using Only Level-1 Ocasions Within Level-3 Classes



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 2 rows
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 8 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
wave 3   2  
Random Effects Intercept 1 Identity 1 ClassID
Residual     1  
Total 5   5  
a. Dependent Variable: emosup.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 203.100
Akaike's Information Criterion (AIC) 207.100
Hurvich and Tsai's Criterion (AICC) 207.229
Bozdogan's Criterion (CAIC) 214.229
Schwarz's Bayesian Criterion (BIC) 212.229
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: emosup.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 5 rows
Source Numerator df Denominator df F Sig.
Intercept 1 32 2216.366 .000
wave 2 64 .942 .395
a. Dependent Variable: emosup.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 9 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 5.089962 .129357 63.442 39.348 .000 4.831498 5.348427
[wave=1] -.160871 .128506 64 -1.252 .215 -.417592 .095849
[wave=2] -.142992 .128506 64 -1.113 .270 -.399713 .113728
[wave=3] 0b 0 . . . . .
a. Dependent Variable: emosup.
b. This parameter is set to zero because it is redundant.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 6 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .272478 .048168 5.657 .000 .192690 .385305
Intercept [subject = ClassID] Variance .279720 .094018 2.975 .003 .144752 .540536
a. Dependent Variable: emosup.


Ch 11a: Piecewise Means, Level-3 and Level-2 Random Intercepts; Three-Level Model Predicting Student Victimization



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
The covariance structure for random effect with only one level will be changed to Identity.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 10 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
time1 1   1  
w3 1   1  
Random Effects Intercept 1 Identity 1 ClassID
Intercept 1 Identity 1 ClassID * StudentID
Residual     1  
Total 5   6  
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 4169.541
Akaike's Information Criterion (AIC) 4175.541
Hurvich and Tsai's Criterion (AICC) 4175.555
Bozdogan's Criterion (CAIC) 4194.905
Schwarz's Bayesian Criterion (BIC) 4191.905
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 6 rows
Source Numerator df Denominator df F Sig.
Intercept 1 42.327 3584.796 .000
time1 1 1138.321 1.491 .222
w3 1 1137.634 .096 .756
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 3.081970 .051475 42.327 59.873 .000 2.978113 3.185827
time1 .042273 .034622 1138.321 1.221 .222 -.025657 .110203
w3 .018562 .059763 1137.634 .311 .756 -.098696 .135819
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .341912 .014373 23.788 .000 .314870 .371275
Intercept [subject = ClassID] Variance .032972 .018990 1.736 .083 .010664 .101948
Intercept [subject = ClassID * StudentID] Variance .611040 .043861 13.931 .000 .530848 .703346
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Ch 11a: Piecewise Means, Add Level-2 Random Time Slope; Three-Level Model Predicting Student Victimization



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 2 rows
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 11 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
time1 1   1  
w3 1   1  
Random Effects Intercept 1 Identity 1 ClassID
Intercept + time1b 2 Unstructured 3 ClassID * StudentID
Residual     1  
Total 6   8  
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 4167.900
Akaike's Information Criterion (AIC) 4177.900
Hurvich and Tsai's Criterion (AICC) 4177.935
Bozdogan's Criterion (CAIC) 4210.173
Schwarz's Bayesian Criterion (BIC) 4205.173
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 6 rows
Source Numerator df Denominator df F Sig.
Intercept 1 40.291 3684.973 .000
time1 1 945.943 1.526 .217
w3 1 586.038 .099 .754
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 3.081986 .050771 40.291 60.704 .000 2.979397 3.184574
time1 .042445 .034365 945.943 1.235 .217 -.024995 .109885
w3 .018483 .058889 586.038 .314 .754 -.097176 .134142
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 9 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .331734 .019666 16.868 .000 .295344 .372607
Intercept [subject = ClassID] Variance .032204 .018810 1.712 .087 .010250 .101179
Intercept + time1 [subject = ClassID * StudentID] UN (1,1) .592492 .054772 10.817 .000 .494305 .710182
UN (2,1) .006144 .020685 .297 .766 -.034399 .046687
UN (2,2) .010192 .014426 .707 .480 .000636 .163312
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Ch 11a: Piecewise Means, Add Level-3 Random Time Slope; Three-Level Model Predicting Student Victimization



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 11 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
time1 1   1  
w3 1   1  
Random Effects Intercept + time1b 2 Unstructured 3 ClassID
Intercept + time1b 2 Unstructured 3 ClassID * StudentID
Residual     1  
Total 7   10  
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 4166.940
Akaike's Information Criterion (AIC) 4180.940
Hurvich and Tsai's Criterion (AICC) 4181.005
Bozdogan's Criterion (CAIC) 4226.123
Schwarz's Bayesian Criterion (BIC) 4219.123
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 6 rows
Source Numerator df Denominator df F Sig.
Intercept 1 32.464 4027.292 .000
time1 1 301.939 1.469 .226
w3 1 586.068 .106 .745
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 3.080961 .048549 32.464 63.461 .000 2.982126 3.179797
time1 .042276 .034876 301.939 1.212 .226 -.026355 .110908
w3 .019136 .058883 586.068 .325 .745 -.096511 .134783
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .331660 .019661 16.869 .000 .295280 .372522
Intercept + time1 [subject = ClassID] UN (1,1) .024844 .019299 1.287 .198 .005420 .113874
UN (2,1) .003351 .005332 .628 .530 -.007099 .013801
UN (2,2) .001214 .002781 .436 .662 1.361755E-5 .108213
Intercept + time1 [subject = ClassID * StudentID] UN (1,1) .596110 .055446 10.751 .000 .496767 .715319
UN (2,1) .004837 .021017 .230 .818 -.036357 .046030
UN (2,2) .009060 .014609 .620 .535 .000384 .213647
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Ch 11a: Fixed Linear Time, Level-3 and Level-2 Random Intercepts; Three-Level Model Predicting Student Victimization



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
The covariance structure for random effect with only one level will be changed to Identity.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 9 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
time1 1   1  
Random Effects Intercept 1 Identity 1 ClassID
Intercept 1 Identity 1 ClassID * StudentID
Residual     1  
Total 4   5  
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 4165.840
Akaike's Information Criterion (AIC) 4171.840
Hurvich and Tsai's Criterion (AICC) 4171.854
Bozdogan's Criterion (CAIC) 4191.206
Schwarz's Bayesian Criterion (BIC) 4188.206
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 5 rows
Source Numerator df Denominator df F Sig.
Intercept 1 39.120 3721.088 .000
time1 1 1143.516 8.784 .003
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 6 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 3.078831 .050472 39.120 61.001 .000 2.976751 3.180910
time1 .051568 .017400 1143.516 2.964 .003 .017429 .085707
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .341651 .014356 23.799 .000 .314642 .370979
Intercept [subject = ClassID] Variance .032983 .018992 1.737 .082 .010670 .101959
Intercept [subject = ClassID * StudentID] Variance .611074 .043856 13.934 .000 .530890 .703369
a. Dependent Variable: victim: Time-Varying Student-Perceived Victimization.