GLM Heb Eng Mat by Gender

GLM heb eng mat BY gender

/WSFACTOR=measures 3 Polynomial

/METHOD=SSTYPE(3)

/PLOT=PROFILE(gender*measures)

/EMMEANS=TABLES(OVERALL)

/EMMEANS=TABLES(measures) COMPARE ADJ(BONFERRONI)

/EMMEANS=TABLES(gender) COMPARE ADJ(BONFERRONI)

/EMMEANS=TABLES(gender*measures)

/PRINT=DESCRIPTIVE ETASQ

/CRITERIA=ALPHA(.05)

/WSDESIGN=measures

/DESIGN=gender.

General Linear Model

[DataSet1] G:\קורסים\בר אילן סטט מא 2013\סמסטר ב\datar.sav

Within-Subjects Factors
Measure: MEASURE_1
measures / Dependent Variable
1 / heb
2 / eng
3 / mat
Between-Subjects Factors
Value Label / N
gender / 1 / בנים / 30
2 / בנות / 30
Descriptive Statistics
gender / Mean / Std. Deviation / N
heb / בנים / 82.20 / 14.521 / 30
בנות / 82.40 / 10.849 / 30
Total / 82.30 / 12.708 / 60
eng / בנים / 77.97 / 15.524 / 30
בנות / 79.97 / 15.041 / 30
Total / 78.97 / 15.188 / 60
mat / בנים / 78.87 / 14.338 / 30
בנות / 79.27 / 12.329 / 30
Total / 79.07 / 13.259 / 60
Multivariate Testsa
Effect / Value / F / Hypothesis df / Error df / Sig. / Partial Eta Squared
measures / Pillai's Trace / .054 / 1.611b / 2.000 / 57.000 / .209 / .054
Wilks' Lambda / .946 / 1.611b / 2.000 / 57.000 / .209 / .054
Hotelling's Trace / .057 / 1.611b / 2.000 / 57.000 / .209 / .054
Roy's Largest Root / .057 / 1.611b / 2.000 / 57.000 / .209 / .054
measures * gender / Pillai's Trace / .004 / .115b / 2.000 / 57.000 / .892 / .004
Wilks' Lambda / .996 / .115b / 2.000 / 57.000 / .892 / .004
Hotelling's Trace / .004 / .115b / 2.000 / 57.000 / .892 / .004
Roy's Largest Root / .004 / .115b / 2.000 / 57.000 / .892 / .004
a. Design: Intercept + gender
Within Subjects Design: measures
b. Exact statistic
Mauchly's Test of Sphericitya
Measure: MEASURE_1
Within Subjects Effect / Mauchly's W / Approx. Chi-Square / df / Sig. / Epsilonb
Greenhouse-Geisser / Huynh-Feldt / Lower-bound
measures / .995 / .269 / 2 / .874 / .995 / 1.000 / .500
Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix.
a. Design: Intercept + gender
Within Subjects Design: measures
b. 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.
Tests of Within-Subjects Effects
Measure: MEASURE_1
Source / Type III Sum of Squares / df / Mean Square / F / Sig. / Partial Eta Squared
measures / Sphericity Assumed / 431.511 / 2 / 215.756 / 1.739 / .180 / .029
Greenhouse-Geisser / 431.511 / 1.991 / 216.773 / 1.739 / .180 / .029
Huynh-Feldt / 431.511 / 2.000 / 215.756 / 1.739 / .180 / .029
Lower-bound / 431.511 / 1.000 / 431.511 / 1.739 / .192 / .029
measures * gender / Sphericity Assumed / 29.200 / 2 / 14.600 / .118 / .889 / .002
Greenhouse-Geisser / 29.200 / 1.991 / 14.669 / .118 / .888 / .002
Huynh-Feldt / 29.200 / 2.000 / 14.600 / .118 / .889 / .002
Lower-bound / 29.200 / 1.000 / 29.200 / .118 / .733 / .002
Error(measures) / Sphericity Assumed / 14392.622 / 116 / 124.074
Greenhouse-Geisser / 14392.622 / 115.456 / 124.659
Huynh-Feldt / 14392.622 / 116.000 / 124.074
Lower-bound / 14392.622 / 58.000 / 248.149
Tests of Within-Subjects Contrasts
Measure: MEASURE_1
Source / measures / Type III Sum of Squares / df / Mean Square / F / Sig. / Partial Eta Squared
measures / Linear / 313.633 / 1 / 313.633 / 2.525 / .117 / .042
Quadratic / 117.878 / 1 / 117.878 / .951 / .333 / .016
measures * gender / Linear / .300 / 1 / .300 / .002 / .961 / .000
Quadratic / 28.900 / 1 / 28.900 / .233 / .631 / .004
Error(measures) / Linear / 7204.067 / 58 / 124.208
Quadratic / 7188.556 / 58 / 123.941
Tests of Between-Subjects Effects
Measure: MEASURE_1
Transformed Variable: Average
Source / Type III Sum of Squares / df / Mean Square / F / Sig. / Partial Eta Squared
Intercept / 1155202.222 / 1 / 1155202.222 / 3516.294 / .000 / .984
gender / 33.800 / 1 / 33.800 / .103 / .750 / .002
Error / 19054.644 / 58 / 328.528

Estimated Marginal Means

1. Grand Mean
Measure: MEASURE_1
Mean / Std. Error / 95% Confidence Interval
Lower Bound / Upper Bound
80.111 / 1.351 / 77.407 / 82.815

2. measures

Estimates
Measure: MEASURE_1
measures / Mean / Std. Error / 95% Confidence Interval
Lower Bound / Upper Bound
1 / 82.300 / 1.655 / 78.988 / 85.612
2 / 78.967 / 1.973 / 75.017 / 82.917
3 / 79.067 / 1.726 / 75.611 / 82.522
Pairwise Comparisons
Measure: MEASURE_1
(I) measures / (J) measures / Mean Difference (I-J) / Std. Error / Sig.a / 95% Confidence Interval for Differencea
Lower Bound / Upper Bound
1 / 2 / 3.333 / 2.093 / .350 / -1.826 / 8.493
3 / 3.233 / 2.035 / .352 / -1.783 / 8.250
2 / 1 / -3.333 / 2.093 / .350 / -8.493 / 1.826
3 / -.100 / 1.972 / 1.000 / -4.961 / 4.761
3 / 1 / -3.233 / 2.035 / .352 / -8.250 / 1.783
2 / .100 / 1.972 / 1.000 / -4.761 / 4.961
Based on estimated marginal means
a. Adjustment for multiple comparisons: Bonferroni.
Multivariate Tests
Value / F / Hypothesis df / Error df / Sig. / Partial Eta Squared
Pillai's trace / .054 / 1.611a / 2.000 / 57.000 / .209 / .054
Wilks' lambda / .946 / 1.611a / 2.000 / 57.000 / .209 / .054
Hotelling's trace / .057 / 1.611a / 2.000 / 57.000 / .209 / .054
Roy's largest root / .057 / 1.611a / 2.000 / 57.000 / .209 / .054
Each F tests the multivariate effect of measures. These tests are based on the linearly independent pairwise comparisons among the estimated marginal means.
a. Exact statistic

3. gender

Estimates
Measure: MEASURE_1
gender / Mean / Std. Error / 95% Confidence Interval
Lower Bound / Upper Bound
בנים / 79.678 / 1.911 / 75.853 / 83.502
בנות / 80.544 / 1.911 / 76.720 / 84.369
Pairwise Comparisons
Measure: MEASURE_1
(I) gender / (J) gender / Mean Difference (I-J) / Std. Error / Sig.a / 95% Confidence Interval for Differencea
Lower Bound / Upper Bound
בנים / בנות / -.867 / 2.702 / .750 / -6.275 / 4.542
בנות / בנים / .867 / 2.702 / .750 / -4.542 / 6.275
Based on estimated marginal means
a. Adjustment for multiple comparisons: Bonferroni.
Univariate Tests
Measure: MEASURE_1
Sum of Squares / df / Mean Square / F / Sig. / Partial Eta Squared
Contrast / 11.267 / 1 / 11.267 / .103 / .750 / .002
Error / 6351.548 / 58 / 109.509
The F tests the effect of gender. This test is based on the linearly independent pairwise comparisons among the estimated marginal means.
4. gender * measures
Measure: MEASURE_1
gender / measures / Mean / Std. Error / 95% Confidence Interval
Lower Bound / Upper Bound
בנים / 1 / 82.200 / 2.340 / 77.516 / 86.884
2 / 77.967 / 2.791 / 72.381 / 83.553
3 / 78.867 / 2.441 / 73.980 / 83.753
בנות / 1 / 82.400 / 2.340 / 77.716 / 87.084
2 / 79.967 / 2.791 / 74.381 / 85.553
3 / 79.267 / 2.441 / 74.380 / 84.153

Profile Plots

SORT CASES BY gender.

SPLIT FILE SEPARATE BY gender.

GLM heb eng mat

/WSFACTOR=measures 3 Polynomial

/METHOD=SSTYPE(3)

/PLOT=PROFILE(measures)

/EMMEANS=TABLES(OVERALL)

/EMMEANS=TABLES(measures) COMPARE ADJ(BONFERRONI)

/PRINT=DESCRIPTIVE ETASQ

/CRITERIA=ALPHA(.05)

/WSDESIGN=measures.

General Linear Model

[DataSet1] G:\קורסים\בר אילן סטט מא 2013\סמסטר ב\datar.sav

Within-Subjects Factors
Measure: MEASURE_1
measures / Dependent Variable
1 / heb
2 / eng
3 / mat

gender = בנים

Between-Subjects Factorsa
a. gender = בנים
Descriptive Statisticsa
Mean / Std. Deviation / N
heb / 82.20 / 14.521 / 30
eng / 77.97 / 15.524 / 30
mat / 78.87 / 14.338 / 30
a. gender = בנים
Multivariate Testsa,b
Effect / Value / F / Hypothesis df / Error df / Sig. / Partial Eta Squared
measures / Pillai's Trace / .051 / .755c / 2.000 / 28.000 / .480 / .051
Wilks' Lambda / .949 / .755c / 2.000 / 28.000 / .480 / .051
Hotelling's Trace / .054 / .755c / 2.000 / 28.000 / .480 / .051
Roy's Largest Root / .054 / .755c / 2.000 / 28.000 / .480 / .051
a. gender = בנים
b. Design: Intercept
Within Subjects Design: measures
c. Exact statistic
Mauchly's Test of Sphericitya,b
Measure: MEASURE_1
Within Subjects Effect / Mauchly's W / Approx. Chi-Square / df / Sig. / Epsilonc
Greenhouse-Geisser / Huynh-Feldt / Lower-bound
measures / .943 / 1.651 / 2 / .438 / .946 / 1.000 / .500
Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix.
a. gender = בנים
b. Design: Intercept
Within Subjects Design: measures
c. 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.
Tests of Within-Subjects Effectsa
Measure: MEASURE_1
Source / Type III Sum of Squares / df / Mean Square / F / Sig. / Partial Eta Squared
measures / Sphericity Assumed / 298.422 / 2 / 149.211 / .967 / .386 / .032
Greenhouse-Geisser / 298.422 / 1.892 / 157.752 / .967 / .382 / .032
Huynh-Feldt / 298.422 / 2.000 / 149.211 / .967 / .386 / .032
Lower-bound / 298.422 / 1.000 / 298.422 / .967 / .334 / .032
Error(measures) / Sphericity Assumed / 8947.578 / 58 / 154.269
Greenhouse-Geisser / 8947.578 / 54.860 / 163.099
Huynh-Feldt / 8947.578 / 58.000 / 154.269
Lower-bound / 8947.578 / 29.000 / 308.537
a. gender = בנים
Tests of Within-Subjects Contrastsa
Measure: MEASURE_1
Source / measures / Type III Sum of Squares / df / Mean Square / F / Sig. / Partial Eta Squared
measures / Linear / 166.667 / 1 / 166.667 / 1.074 / .309 / .036
Quadratic / 131.756 / 1 / 131.756 / .859 / .362 / .029
Error(measures) / Linear / 4501.333 / 29 / 155.218
Quadratic / 4446.244 / 29 / 153.319
a. gender = בנים
Tests of Between-Subjects Effectsa
Measure: MEASURE_1
Transformed Variable: Average
Source / Type III Sum of Squares / df / Mean Square / F / Sig. / Partial Eta Squared
Intercept / 571369.344 / 1 / 571369.344 / 1637.703 / .000 / .983
Error / 10117.656 / 29 / 348.885
a. gender = בנים

Estimated Marginal Means

1. Grand Meana
Measure: MEASURE_1
Mean / Std. Error / 95% Confidence Interval
Lower Bound / Upper Bound
79.678 / 1.969 / 75.651 / 83.705
a. gender = בנים

2. measures

Estimatesa
Measure: MEASURE_1
measures / Mean / Std. Error / 95% Confidence Interval
Lower Bound / Upper Bound
1 / 82.200 / 2.651 / 76.778 / 87.622
2 / 77.967 / 2.834 / 72.170 / 83.763
3 / 78.867 / 2.618 / 73.513 / 84.220
a. gender = בנים
Pairwise Comparisonsa
Measure: MEASURE_1
(I) measures / (J) measures / Mean Difference (I-J) / Std. Error / Sig.b / 95% Confidence Interval for Differenceb
Lower Bound / Upper Bound
1 / 2 / 4.233 / 3.519 / .716 / -4.708 / 13.175
3 / 3.333 / 3.217 / .926 / -4.840 / 11.507
2 / 1 / -4.233 / 3.519 / .716 / -13.175 / 4.708
3 / -.900 / 2.850 / 1.000 / -8.142 / 6.342
3 / 1 / -3.333 / 3.217 / .926 / -11.507 / 4.840
2 / .900 / 2.850 / 1.000 / -6.342 / 8.142
Based on estimated marginal means
a. gender = בנים
b. Adjustment for multiple comparisons: Bonferroni.
Multivariate Testsa
Value / F / Hypothesis df / Error df / Sig. / Partial Eta Squared
Pillai's trace / .051 / .755b / 2.000 / 28.000 / .480 / .051
Wilks' lambda / .949 / .755b / 2.000 / 28.000 / .480 / .051
Hotelling's trace / .054 / .755b / 2.000 / 28.000 / .480 / .051
Roy's largest root / .054 / .755b / 2.000 / 28.000 / .480 / .051
Each F tests the multivariate effect of measures. These tests are based on the linearly independent pairwise comparisons among the estimated marginal means.
a. gender = בנים
b. Exact statistic

Profile Plots

gender = בנות

Between-Subjects Factorsa
a. gender = בנות
Descriptive Statisticsa
Mean / Std. Deviation / N
heb / 82.40 / 10.849 / 30
eng / 79.97 / 15.041 / 30
mat / 79.27 / 12.329 / 30
a. gender = בנות
Multivariate Testsa,b
Effect / Value / F / Hypothesis df / Error df / Sig. / Partial Eta Squared
measures / Pillai's Trace / .066 / .986c / 2.000 / 28.000 / .386 / .066
Wilks' Lambda / .934 / .986c / 2.000 / 28.000 / .386 / .066
Hotelling's Trace / .070 / .986c / 2.000 / 28.000 / .386 / .066
Roy's Largest Root / .070 / .986c / 2.000 / 28.000 / .386 / .066
a. gender = בנות
b. Design: Intercept
Within Subjects Design: measures
c. Exact statistic
Mauchly's Test of Sphericitya,b
Measure: MEASURE_1
Within Subjects Effect / Mauchly's W / Approx. Chi-Square / df / Sig. / Epsilonc
Greenhouse-Geisser / Huynh-Feldt / Lower-bound
measures / .955 / 1.283 / 2 / .526 / .957 / 1.000 / .500
Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix.
a. gender = בנות
b. Design: Intercept
Within Subjects Design: measures
c. 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.
Tests of Within-Subjects Effectsa
Measure: MEASURE_1
Source / Type III Sum of Squares / df / Mean Square / F / Sig. / Partial Eta Squared
measures / Sphericity Assumed / 162.289 / 2 / 81.144 / .864 / .427 / .029
Greenhouse-Geisser / 162.289 / 1.914 / 84.779 / .864 / .423 / .029
Huynh-Feldt / 162.289 / 2.000 / 81.144 / .864 / .427 / .029
Lower-bound / 162.289 / 1.000 / 162.289 / .864 / .360 / .029
Error(measures) / Sphericity Assumed / 5445.044 / 58 / 93.880
Greenhouse-Geisser / 5445.044 / 55.513 / 98.086
Huynh-Feldt / 5445.044 / 58.000 / 93.880
Lower-bound / 5445.044 / 29.000 / 187.760
a. gender = בנות
Tests of Within-Subjects Contrastsa
Measure: MEASURE_1
Source / measures / Type III Sum of Squares / df / Mean Square / F / Sig. / Partial Eta Squared
measures / Linear / 147.267 / 1 / 147.267 / 1.580 / .219 / .052
Quadratic / 15.022 / 1 / 15.022 / .159 / .693 / .005
Error(measures) / Linear / 2702.733 / 29 / 93.198
Quadratic / 2742.311 / 29 / 94.562
a. gender = בנות
Tests of Between-Subjects Effectsa
Measure: MEASURE_1
Transformed Variable: Average
Source / Type III Sum of Squares / df / Mean Square / F / Sig. / Partial Eta Squared
Intercept / 583866.678 / 1 / 583866.678 / 1894.613 / .000 / .985
Error / 8936.989 / 29 / 308.172
a. gender = בנות

Estimated Marginal Means