ONEWAY Fate BY class
  /STATISTICS DESCRIPTIVES HOMOGENEITY
  /PLOT MEANS
  /MISSING ANALYSIS
  /POSTHOC=LSD ALPHA(0.05).


Oneway


Notes
Output Created 2008-11-12T15:15:24.000
Comments
Input Data /Users/superuser/Desktop/ANOVA_HW.sav
Active Dataset DataSet1
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 49
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics for each analysis are based on cases with no missing data for any variable in the analysis.
Syntax ONEWAY Fate BY class
/STATISTICS DESCRIPTIVES HOMOGENEITY
/PLOT MEANS
/MISSING ANALYSIS
/POSTHOC=LSD ALPHA(0.05).
Resources Processor Time 0:00:02.401
Elapsed Time 0:00:03.000


[DataSet1] /Users/superuser/Desktop/ANOVA_HW.sav
Descriptives
Attitude toward fate
  N Mean Std. Deviation Std. Error 95% Confidence Interval for Mean Minimum Maximum
Lower Bound Upper Bound
Lower Class 7 13.1429 6.09449 2.30350 7.5064 18.7793 4.00 21.00
Middle Class 7 10.0000 4.32049 1.63299 6.0042 13.9958 3.00 17.00
Upper Class 7 5.4286 2.76026 1.04328 2.8758 7.9814 2.00 9.00
Total 21 9.5238 5.43709 1.18647 7.0489 11.9987 2.00 21.00

Test of Homogeneity of Variances
Attitude toward fate
Levene Statistic df1 df2 Sig.
2.299 2 18 .129

ANOVA
Attitude toward fate
  Sum of Squares df Mean Square F Sig.
Between Groups 210.667 2 105.333 4.982 .019
Within Groups 380.571 18 21.143    
Total 591.238 20      


Post Hoc Tests


Multiple Comparisons
Attitude toward fate
LSD
(I) SES (J) SES Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
Lower Class Middle Class 3.14286 2.45781 .217 -2.0208 8.3065
Upper Class 7.71429* 2.45781 .006 2.5506 12.8779
Middle Class Lower Class -3.14286 2.45781 .217 -8.3065 2.0208
Upper Class 4.57143 2.45781 .079 -.5922 9.7351
Upper Class Lower Class -7.71429* 2.45781 .006 -12.8779 -2.5506
Middle Class -4.57143 2.45781 .079 -9.7351 .5922
*. The mean difference is significant at the 0.05 level.


Means Plots




GLM Red Blue Green
  /WSFACTOR=Hue 3 Polynomial
  /METHOD=SSTYPE(3)
  /PLOT=PROFILE(Hue)
  /EMMEANS=TABLES(Hue) COMPARE ADJ(LSD)
  /PRINT=DESCRIPTIVE HOMOGENEITY
  /CRITERIA=ALPHA(.05)
  /WSDESIGN=Hue.


General Linear Model


Notes
Output Created 2008-11-12T15:47:02.000
Comments
Input Data /Users/superuser/Desktop/ANOVA_HW.sav
Active Dataset DataSet1
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 49
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax GLM Red Blue Green
/WSFACTOR=Hue 3 Polynomial
/METHOD=SSTYPE(3)
/PLOT=PROFILE(Hue)
/EMMEANS=TABLES(Hue) COMPARE ADJ(LSD)
/PRINT=DESCRIPTIVE HOMOGENEITY
/CRITERIA=ALPHA(.05)
/WSDESIGN=Hue.
Resources Processor Time 0:00:01.793
Elapsed Time 0:00:02.000


[DataSet1] /Users/superuser/Desktop/ANOVA_HW.sav
Warnings
The HOMOGENEITY specification in the PRINT subcommand will be ignored because there are no between-subjects factors.

Within-Subjects Factors
Measure:MEASURE_1
Hue Dependent Variable
1 Red
2 Blue
3 Green

Descriptive Statistics
  Mean Std. Deviation N
red light 61.8889 8.17686 9
blue light 75.1111 7.18409 9
green light 64.6667 8.67468 9

Multivariate Testsb
Effect Value F Hypothesis df Error df Sig.
Hue Pillai's Trace .941 5.623E1 2.000 7.000 .000
Wilks' Lambda .059 5.623E1 2.000 7.000 .000
Hotelling's Trace 16.065 5.623E1 2.000 7.000 .000
Roy's Largest Root 16.065 5.623E1 2.000 7.000 .000
a. Exact statistic
b. Design: Intercept
Within Subjects Design: Hue

Mauchly's Test of Sphericityb
Measure:MEASURE_1
Within Subjects Effect Mauchly's W Approx. Chi-Square df Sig. Epsilona
Greenhouse-Geisser Huynh-Feldt Lower-bound
Hue .299 8.441 2 .015 .588 .629 .500
Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix.
a. May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table.
b. Design: Intercept
Within Subjects Design: Hue

Tests of Within-Subjects Effects
Measure:MEASURE_1
Source Type III Sum of Squares df Mean Square F Sig.
Hue Sphericity Assumed 874.889 2 437.444 30.285 .000
Greenhouse-Geisser 874.889 1.176 743.893 30.285 .000
Huynh-Feldt 874.889 1.258 695.430 30.285 .000
Lower-bound 874.889 1.000 874.889 30.285 .001
Error(Hue) Sphericity Assumed 231.111 16 14.444    
Greenhouse-Geisser 231.111 9.409 24.563    
Huynh-Feldt 231.111 10.064 22.963    
Lower-bound 231.111 8.000 28.889    

Tests of Within-Subjects Contrasts
Measure:MEASURE_1
Source Hue Type III Sum of Squares df Mean Square F Sig.
Hue Linear 34.722 1 34.722 6.494 .034
Quadratic 840.167 1 840.167 35.688 .000
Error(Hue) Linear 42.778 8 5.347    
Quadratic 188.333 8 23.542    

Tests of Between-Subjects Effects
Measure:MEASURE_1
Transformed Variable:Average
Source Type III Sum of Squares df Mean Square F Sig.
Intercept 122008.333 1 122008.333 740.192 .000
Error 1318.667 8 164.833    


Estimated Marginal Means



Hue


Estimates
Measure:MEASURE_1
Hue Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 61.889 2.726 55.604 68.174
2 75.111 2.395 69.589 80.633
3 64.667 2.892 57.999 71.335

Pairwise Comparisons
Measure:MEASURE_1
(I) Hue (J) Hue Mean Difference (I-J) Std. Error Sig.a 95% Confidence Interval for Differencea
Lower Bound Upper Bound
1 2 -13.222* 1.640 .000 -17.003 -9.441
3 -2.778* 1.090 .034 -5.292 -.264
2 1 13.222* 1.640 .000 9.441 17.003
3 10.444* 2.399 .002 4.913 15.976
3 1 2.778* 1.090 .034 .264 5.292
2 -10.444* 2.399 .002 -15.976 -4.913
Based on estimated marginal means
*. The mean difference is significant at the .05 level.
a. Adjustment for multiple comparisons: Least Significant Difference (equivalent to no adjustments).

Multivariate Tests
  Value F Hypothesis df Error df Sig.
Pillai's trace .941 5.623E1 2.000 7.000 .000
Wilks' lambda .059 5.623E1 2.000 7.000 .000
Hotelling's trace 16.065 5.623E1 2.000 7.000 .000
Roy's largest root 16.065 5.623E1 2.000 7.000 .000
Each F tests the multivariate effect of Hue. These tests are based on the linearly independent pairwise comparisons among the estimated marginal means.
a. Exact statistic


Profile Plots




UNIANOVA Maze BY Strain Environment
  /METHOD=SSTYPE(3)
  /INTERCEPT=INCLUDE
  /POSTHOC=Strain(LSD)
  /PLOT=PROFILE(Environment*Strain)
  /EMMEANS=TABLES(OVERALL)
  /EMMEANS=TABLES(Strain)
  /EMMEANS=TABLES(Environment)
  /EMMEANS=TABLES(Strain*Environment)
  /PRINT=HOMOGENEITY DESCRIPTIVE
  /CRITERIA=ALPHA(.05)
  /DESIGN=Strain Environment Strain*Environment.


Univariate Analysis of Variance


Notes
Output Created 2008-11-12T16:14:29.000
Comments
Input Data /Users/superuser/Desktop/ANOVA_HW.sav
Active Dataset DataSet1
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 49
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA Maze BY Strain Environment
/METHOD=SSTYPE(3)
/INTERCEPT=INCLUDE
/POSTHOC=Strain(LSD)
/PLOT=PROFILE(Environment*Strain)
/EMMEANS=TABLES(OVERALL)
/EMMEANS=TABLES(Strain)
/EMMEANS=TABLES(Environment)
/EMMEANS=TABLES(Strain*Environment)
/PRINT=HOMOGENEITY DESCRIPTIVE
/CRITERIA=ALPHA(.05)
/DESIGN=Strain Environment Strain*Environment.
Resources Processor Time 0:00:01.961
Elapsed Time 0:00:03.000


[DataSet1] /Users/superuser/Desktop/ANOVA_HW.sav
Between-Subjects Factors
  Value Label N
Strain of Rat 1 Holtzman 16
2 Wistar 16
3 Sprague-Dawley 16
Environment raised in: 1 Enriched 24
2 Normal 24

Descriptive Statistics
Dependent Variable:Maze Learning to Criterion Scores
Strain of Rat Environment raised in: Mean Std. Deviation N
Holtzman Enriched 34.6250 24.69203 8
Normal 55.1250 30.42761 8
Total 44.8750 28.78628 16
Wistar Enriched 49.3750 24.52368 8
Normal 94.0000 30.60812 8
Total 71.6875 35.33972 16
Sprague-Dawley Enriched 72.1250 36.78679 8
Normal 137.6250 72.73030 8
Total 104.8750 65.14689 16
Total Enriched 52.0417 32.07394 24
Normal 95.5833 57.98119 24
Total 73.8125 51.30910 48

Levene's Test of Equality of Error Variancesa
Dependent Variable:Maze Learning to Criterion Scores
F df1 df2 Sig.
3.539 5 42 .009
Tests the null hypothesis that the error variance of the dependent variable is equal across groups.
a. Design: Intercept + Strain + Environment + Strain * Environment

Tests of Between-Subjects Effects
Dependent Variable:Maze Learning to Criterion Scores
Source Type III Sum of Squares df Mean Square F Sig.
Corrected Model 55715.938a 5 11143.188 6.881 .000
Intercept 261517.688 1 261517.688 161.484 .000
Strain 28908.375 2 14454.187 8.925 .001
Environment 22750.521 1 22750.521 14.048 .001
Strain * Environment 4057.042 2 2028.521 1.253 .296
Error 68017.375 42 1619.461    
Total 385251.000 48      
Corrected Total 123733.313 47      
a. R Squared = .450 (Adjusted R Squared = .385)


Estimated Marginal Means


1. Grand Mean
Dependent Variable:Maze Learning to Criterion Scores
Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
73.812 5.809 62.090 85.535

2. Strain of Rat
Dependent Variable:Maze Learning to Criterion Scores
Strain of Rat Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
Holtzman 44.875 10.061 24.572 65.178
Wistar 71.688 10.061 51.384 91.991
Sprague-Dawley 104.875 10.061 84.572 125.178

3. Environment raised in:
Dependent Variable:Maze Learning to Criterion Scores
Environment raised in: Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
Enriched 52.042 8.214 35.464 68.619
Normal 95.583 8.214 79.006 112.161

4. Strain of Rat * Environment raised in:
Dependent Variable:Maze Learning to Criterion Scores
Strain of Rat Environment raised in: Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
Holtzman Enriched 34.625 14.228 5.912 63.338
Normal 55.125 14.228 26.412 83.838
Wistar Enriched 49.375 14.228 20.662 78.088
Normal 94.000 14.228 65.287 122.713
Sprague-Dawley Enriched 72.125 14.228 43.412 100.838
Normal 137.625 14.228 108.912 166.338


Post Hoc Tests



Strain of Rat


Multiple Comparisons
Maze Learning to Criterion Scores
LSD
(I) Strain of Rat (J) Strain of Rat Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
Holtzman Wistar -26.8125 14.22788 .066 -55.5255 1.9005
Sprague-Dawley -60.0000* 14.22788 .000 -88.7130 -31.2870
Wistar Holtzman 26.8125 14.22788 .066 -1.9005 55.5255
Sprague-Dawley -33.1875* 14.22788 .025 -61.9005 -4.4745
Sprague-Dawley Holtzman 60.0000* 14.22788 .000 31.2870 88.7130
Wistar 33.1875* 14.22788 .025 4.4745 61.9005
Based on observed means.
The error term is Mean Square(Error) = 1619.461.
*. The mean difference is significant at the .05 level.


Profile Plots