psy300 / Bizer / Factorial Analyses: 2 x 3 Between-Subjects Factorial Design

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1 psy300 / Bizer / Factorial Analyses: 2 x 3 Between-Subjects Factorial Design Univariate Analysis of Variance Between-Subjects Factors öòòòòòûòòòòûòòòòòòòòòòòûòòø Value LabelN ùòòòòòôòòòòôòòòòòòòòòòòôòòú age 1.00age groupùòòòòôòòòòòòòòòòòôòòú 2.00age ùòòòòôòòòòòòòòòòòôòòú 3.00age ùòòòòòôòòòòôòòòòòòòòòòòôòòú sex 1 male 12 ùòòòòôòòòòòòòòòòòôòòú 2 female 12 õòòòòòüòòòòüòòòòòòòòòòòüòò Tests of Between-Subjects Effects öòòòòòòòòòòòòòòòûòòòòòòòòòòòòòòòûòòûòòòòòòòòòòòûòòòòòòòûòòòòø Source Type III Sum ofdfmean SquareF Sig. Squares Corrected Model (a) Intercept age sex age * sex Error Total Corrected Total õòòòòòòòòòòòòòòòüòòòòòòòòòòòòòòòüòòüòòòòòòòòòòòüòòòòòòòüòòòò a R Squared =.961 (Adjusted R Squared =.950) Estimated Marginal Means 1. age group öòòòòòòòòòûòòòòòòûòòòòòûòòòòòòòòòòòòòòòòòòòòòòòòòòòø age groupmean Std. 95% Confidence Interval Errorùòòòòòòòòòòòòòòòûòòòòòòòòòòòú Lower Bound Upper Bound age age age õòòòòòòòòòüòòòòòòüòòòòòüòòòòòòòòòòòòòòòüòòòòòòòòòòò

2 2. sex öòòòòòòûòòòòòòûòòòòòûòòòòòòòòòòòòòòòòòòòòòòòòòòòø sex Mean Std. 95% Confidence Interval Errorùòòòòòòòòòòòòòòòûòòòòòòòòòòòú Lower Bound Upper Bound ùòòòòòòôòòòòòòôòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú male ùòòòòòòôòòòòòòôòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú female õòòòòòòüòòòòòòüòòòòòüòòòòòòòòòòòòòòòüòòòòòòòòòòò 3. age group * sex öòòòòòûòòòòòòûòòòòòòûòòòòòûòòòòòòòòòòòòòòòòòòòòòòòòòòòø age sex Mean Std. 95% Confidence Interval group Errorùòòòòòòòòòòòòòòòûòòòòòòòòòòòú Lower Bound Upper Bound ùòòòòòôòòòòòòôòòòòòòôòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú age male ùòòòòòòôòòòòòòôòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú female ùòòòòòôòòòòòòôòòòòòòôòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú age male ùòòòòòòôòòòòòòôòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú female ùòòòòòôòòòòòòôòòòòòòôòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú age male ùòòòòòòôòòòòòòôòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú female õòòòòòüòòòòòòüòòòòòòüòòòòòüòòòòòòòòòòòòòòòüòòòòòòòòòòò Post Hoc Tests age group Multiple Comparisons öòòòòòòòûòòòòòòòòòûòòòòòòòòòòòòòòòûòòòòòûòòòòûòòòòòòòòòòòòòòòòòòòòòòòòòòòø (I) age(j) age Mean DifferenceStd. Sig.95% Confidence Interval group group (I-J) Error ùòòòòòòòòòòòòòòòûòòòòòòòòòòòú Lower Bound Upper Bound age 2-3age ùòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú age (*) age 8-9age ùòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú age (*) age age (*) ùòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú age (*) õòòòòòòòüòòòòòòòòòüòòòòòòòòòòòòòòòüòòòòòüòòòòüòòòòòòòòòòòòòòòüòòòòòòòòòòò Based on observed means. * The mean difference is significant at the.05 level. First, there was an effect of age: F(2, 18) = 17.60, p <.001. Post-hoc Tukey tests revealed that adults wore significantly less pink (M = 12.88%) than did either toddlers (M = 25.25%) or children (M = 23.00%). Amount of pink clothes worn by toddlers and children did not differ. There was also a significant effect of sex, F(1, 18) = , p <.001, such that males wore less pink clothes (M = 5.17%) than did females (M = 35.58%). Importantly, these main effects were qualified by an age x sex interaction, F(2, 18) = 62.88, p <.001

3 Profile Plots USE ALL. COMPUTE filter_$=(age=1). VARIABLE LABEL filter_$ 'age=1 (FILTER)'. T-TEST GROUPS = sex(1 2) /MISSING = ANALYSIS /VARIABLES = pink /CRITERIA = CI(.95). T-Test Group Statistics öòòòòòòòòòòòòûòòòòòòûòûòòòòòûòòòòòòòòòòòòòòûòòòòòòòòòòòòòòòø sex NMean Std. DeviationStd. Error Mean ùòòòòòòòòòòòòôòòòòòòôòôòòòòòôòòòòòòòòòòòòòòôòòòòòòòòòòòòòòòú pct of male clothes pinkùòòòòòòôòôòòòòòôòòòòòòòòòòòòòòôòòòòòòòòòòòòòòòú female õòòòòòòòòòòòòüòòòòòòüòüòòòòòüòòòòòòòòòòòòòòüòòòòòòòòòòòòòòò Independent Samples Test öòòòòòòòòòòòòûòòòòòòòòòòòòòòòûòòòòòòòòòòòòòòòòòòòòûòòòòòòòòòòòòòòòòòòòòòòòòòòòòòòòòò Levene's Test for t-test for Equality of Means Equality of Variances ùòòòòòòòòòòòòòòòûòòòòôòòòòòòòòòòòòòòòûòòòòòûòòòòòòòòòòû F Sig.t df Sig. (2-tailed) ùòòòòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòòòòòòòô pct of Equal variances clothes pinkassumed ùòòòòòòòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòòòòòòòô Equal variances not assumed õòòòòòòòòòòòòüòòòòòòòòòòòòòòòüòòòòòòòòòòòòòòòüòòòòüòòòòòòòòòòòòòòòüòòòòòüòòòòòòòòòòü Among toddlers aged 2 to 3, boys (M = 1.75%) wore less pink clothes than girls (M = 48.75%), t(6) = 13.79, p <.001.

4 USE ALL. COMPUTE filter_$=(age=2). VARIABLE LABEL filter_$ 'age=2 (FILTER)'. T-TEST GROUPS = sex(1 2) /MISSING = ANALYSIS /VARIABLES = pink /CRITERIA = CI(.95). T-Test Group Statistics öòòòòòòòòòòòòûòòòòòòûòûòòòòòûòòòòòòòòòòòòòòûòòòòòòòòòòòòòòòø sex NMean Std. DeviationStd. Error Mean ùòòòòòòòòòòòòôòòòòòòôòôòòòòòôòòòòòòòòòòòòòòôòòòòòòòòòòòòòòòú pct of male clothes pinkùòòòòòòôòôòòòòòôòòòòòòòòòòòòòòôòòòòòòòòòòòòòòòú female õòòòòòòòòòòòòüòòòòòòüòüòòòòòüòòòòòòòòòòòòòòüòòòòòòòòòòòòòòò Independent Samples Test öòòòòòòòòòòòòûòòòòòòòòòòòòòòòûòòòòòòòòòòòòòòòòòòòòûòòòòòòòòòòòòòòòòòòòòòòòòòòòòòòòòò Levene's Test for t-test for Equality of Means Equality of Variances ùòòòòòòòòòòòòòòòûòòòòôòòòòòòòòòòòòòòòûòòòòòûòòòòòòòòòòû F Sig.t df Sig. (2-tailed) ùòòòòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòòòòòòòô pct of Equal variances clothes pinkassumed ùòòòòòòòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòòòòòòòô Equal variances not assumed õòòòòòòòòòòòòüòòòòòòòòòòòòòòòüòòòòòòòòòòòòòòòüòòòòüòòòòòòòòòòòòòòòüòòòòòüòòòòòòòòòòü Among children aged 8 to 9, boys (M = 1.75%) wore less pink clothes than girls (M = 44.25%), t(3) = 10.58, p =.001. USE ALL. COMPUTE filter_$=(age=3). VARIABLE LABEL filter_$ 'age=3 (FILTER)'. T-TEST GROUPS = sex(1 2) /MISSING = ANALYSIS /VARIABLES = pink /CRITERIA = CI(.95). T-Test Group Statistics öòòòòòòòòòòòòûòòòòòòûòûòòòòòûòòòòòòòòòòòòòòûòòòòòòòòòòòòòòòø sex NMean Std. DeviationStd. Error Mean ùòòòòòòòòòòòòôòòòòòòôòôòòòòòôòòòòòòòòòòòòòòôòòòòòòòòòòòòòòòú pct of male clothes pinkùòòòòòòôòôòòòòòôòòòòòòòòòòòòòòôòòòòòòòòòòòòòòòú female õòòòòòòòòòòòòüòòòòòòüòüòòòòòüòòòòòòòòòòòòòòüòòòòòòòòòòòòòòò

5 Independent Samples Test öòòòòòòòòòòòòûòòòòòòòòòòòòòòòûòòòòòòòòòòòòòòòòòòòòûòòòòòòòòòòòòòòòòòòòòòòòòòòòòòòòòò Levene's Test for t-test for Equality of Means Equality of Variances ùòòòòòòòòòòòòòòòûòòòòôòòòòòòòòòòòòòòòûòòòòòûòòòòòòòòòòû F Sig.t df Sig. (2-tailed) ùòòòòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòòòòòòòô pct of Equal variances clothes pinkassumed ùòòòòòòòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòòòòòòòô Equal variances not assumed õòòòòòòòòòòòòüòòòòòòòòòòòòòòòüòòòòòòòòòòòòòòòüòòòòüòòòòòòòòòòòòòòòüòòòòòüòòòòòòòòòòü Among adults aged 35 to 36, men (M = %) and women (M = 13.75%) wore the same amount of pink clothes, t(6) = 1.27, p =.25 USE ALL. COMPUTE filter_$=(sex=1). VARIABLE LABEL filter_$ 'sex=1 (FILTER)'. UNIANOVA pink BY age /METHOD = SSTYPE(3) /INTERCEPT = INCLUDE /POSTHOC = age ( TUKEY ) /EMMEANS = TABLES(age) /CRITERIA = ALPHA(.05) /DESIGN = age. Univariate Analysis of Variance Between-Subjects Factors öòòòòòûòòòòûòòòòòòòòòòòûòø Value LabelN ùòòòòòôòòòòôòòòòòòòòòòòôòú age 1.00age groupùòòòòôòòòòòòòòòòòôòú 2.00age ùòòòòôòòòòòòòòòòòôòú 3.00age õòòòòòüòòòòüòòòòòòòòòòòüò Tests of Between-Subjects Effects öòòòòòòòòòòòòòòòûòòòòòòòòòòòòòòòûòòûòòòòòòòòòòòûòòòòòòòûòòòòø Source Type III Sum ofdfmean SquareF Sig. Squares Corrected Model (a) Intercept age Error Total Corrected Total õòòòòòòòòòòòòòòòüòòòòòòòòòòòòòòòüòòüòòòòòòòòòòòüòòòòòòòüòòòò a R Squared =.923 (Adjusted R Squared =.905)

6 Estimated Marginal Means age group öòòòòòòòòòûòòòòòòûòòòòòûòòòòòòòòòòòòòòòòòòòòòòòòòòòø age groupmean Std. 95% Confidence Interval Errorùòòòòòòòòòòòòòòòûòòòòòòòòòòòú Lower Bound Upper Bound age age age õòòòòòòòòòüòòòòòòüòòòòòüòòòòòòòòòòòòòòòüòòòòòòòòòòò Post Hoc Tests age group Multiple Comparisons öòòòòòòòûòòòòòòòòòûòòòòòòòòòòòòòòòûòòòòòûòòòòòûòòòòòòòòòòòòòòòòòòòòòòòòòòòø (I) age(j) age Mean DifferenceStd. Sig. 95% Confidence Interval group group (I-J) Error ùòòòòòòòòòòòòòòòûòòòòòòòòòòòú Lower Bound Upper Bound ùòòòòòòòôòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú age 2-3age ùòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú age (*) ùòòòòòòòôòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú age 8-9age ùòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú age (*) ùòòòòòòòôòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú age age (*) ùòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú age (*) õòòòòòòòüòòòòòòòòòüòòòòòòòòòòòòòòòüòòòòòüòòòòòüòòòòòòòòòòòòòòòüòòòòòòòòòòò Based on observed means. * The mean difference is significant at the.05 level. Homogeneous Subsets pct of clothes pink öòòòòòòòòòûòûòòòòòòòòòòòø age groupnsubset ùòòòòòûòòòòòú 1 2 age age age Sig õòòòòòòòòòüòüòòòòòüòòòòò Means for groups in homogeneous subsets are displayed. Based on Type III Sum of Squares The error term is Mean Square(Error) = a Uses Harmonic Mean Sample Size = b Alpha =.05. Among males, there was a significant effect of age on amount of pink clothes worn, F(2, 9) = 53.65, p <.001. Post-hoc Tukey tests revealed that males aged 35 to 36 wore more pink clothes (M = 12.00%) than either males aged 2 to 3 (M = 1.75%) or aged 8 to 9 (M = 1.75%). Amount of pink clothes worn did not differ between the two younger age groups.

7 USE ALL. COMPUTE filter_$=(sex=2). VARIABLE LABEL filter_$ 'sex=2 (FILTER)'. UNIANOVA pink BY age /METHOD = SSTYPE(3) /INTERCEPT = INCLUDE /POSTHOC = age ( TUKEY ) /EMMEANS = TABLES(age) /CRITERIA = ALPHA(.05) /DESIGN = age. Univariate Analysis of Variance Between-Subjects Factors öòòòòòûòòòòûòòòòòòòòòòòûòø Value LabelN ùòòòòòôòòòòôòòòòòòòòòòòôòú age 1.00age groupùòòòòôòòòòòòòòòòòôòú 2.00age ùòòòòôòòòòòòòòòòòôòú 3.00age õòòòòòüòòòòüòòòòòòòòòòòüò Tests of Between-Subjects Effects öòòòòòòòòòòòòòòòûòòòòòòòòòòòòòòòûòòûòòòòòòòòòòòûòòòòòòòûòòòòø Source Type III Sum ofdfmean SquareF Sig. Squares Corrected Model (a) Intercept age Error Total Corrected Total õòòòòòòòòòòòòòòòüòòòòòòòòòòòòòòòüòòüòòòòòòòòòòòüòòòòòòòüòòòò a R Squared =.897 (Adjusted R Squared =.874) Estimated Marginal Means age group öòòòòòòòòòûòòòòòòûòòòòòûòòòòòòòòòòòòòòòòòòòòòòòòòòòø age groupmean Std. 95% Confidence Interval Errorùòòòòòòòòòòòòòòòûòòòòòòòòòòòú Lower Bound Upper Bound age age age õòòòòòòòòòüòòòòòòüòòòòòüòòòòòòòòòòòòòòòüòòòòòòòòòòò Post Hoc Tests

8 age group Multiple Comparisons öòòòòòòòûòòòòòòòòòûòòòòòòòòòòòòòòòûòòòòòûòòòòûòòòòòòòòòòòòòòòòòòòòòòòòòòòø (I) age(j) age Mean DifferenceStd. Sig.95% Confidence Interval group group (I-J) Error ùòòòòòòòòòòòòòòòûòòòòòòòòòòòú Lower Bound Upper Bound age 2-3age ùòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú age (*) age 8-9age ùòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú age (*) age age (*) ùòòòòòòòòòôòòòòòòòòòòòòòòòôòòòòòôòòòòôòòòòòòòòòòòòòòòôòòòòòòòòòòòú age (*) õòòòòòòòüòòòòòòòòòüòòòòòòòòòòòòòòòüòòòòòüòòòòüòòòòòòòòòòòòòòòüòòòòòòòòòòò Based on observed means. * The mean difference is significant at the.05 level. Homogeneous Subsets pct of clothes pink öòòòòòòòòòûòûòòòòòòòòòòòø age groupnsubset ùòòòòòûòòòòòú 1 2 age age age Sig õòòòòòòòòòüòüòòòòòüòòòòò Among females, there was a significant effect of age on amount of pink clothes worn, F(2, 9) = 39.29, p <.001. Post-hoc Tukey tests revealed that females aged 35 to 36 wore less pink clothes (M = 13.75%) than either females aged 2 to 3 (M = 48.75%) or aged 8 to 9 (M = 44.25%). Amount of pink clothes worn did not differ between the two younger age groups.