QUESTION:

1. Based on the ANOVA output, was there a significant main effect of sex on self-esteem scores? Indicate whether the F-ratio for the main effect of weight status was statistically significant or not, and report the F-ratio results in statistical notation.

2. Based on the ANOVA output, was there a significant weight status by sex interaction on self-esteem scores? Indicate whether the F-ratio for the interaction effect was statistically significant or not, and report the F-ratio results in statistical notation.

PLEASE SEE DATA PROVIDED BELOW

Univariate Analysis of Variance BetweenSubjects Factors Participant Weight Status 1 Participant Sex NlIUJN Value Label Healthy Weight Overweight Obese Fe male Male 20 20 20 30 3O Descriptive Statistics Dependent Variable: Overall Score on SelfEsteem Scale (Sum of 10 Items) Std. Participant Weight Status Participant Sex Mean Deviation Healthy Weight Female 31.80 3.938 Male 27.40 3.893 Total 29.60 4.430 Overweight Female 26.20 6.730 Male 31.20 5.903 Total 28.70 6.674 Obese Female 26.20 3.584 Male 24.40 3.777 Total 25.30 3.701 Total Female 28.07 5.483 Male 27.67 5.287 Total 27.87 5.344 10 10 20 10 10 20 10 10 20 30 30 60 Levene's Test of Equality of Error Variancesa,b Levene Statistic df1 df2 Sig. Overall Score on Self- Based on Mean 1.341 UT 54 261 Esteem Scale (Sum of 10 Items) Based on Median 1.169 5 54 .336 Based on Median and 1.169 43.499 .340 with adjusted df Based on trimmed 1.349 5 54 258 mean Tests the null hypothesis that the error variance of the dependent variable is equal across groups. a. Dependent variable: Overall Score on Self-Esteem Scale (Sum of 10 Items) b. Design: Intercept + WeightStatus + Sex + WeightStatus * Sex Tests of Between-Subjects Effects Dependent Variable: Overall Score on Self-Esteem Scale (Sum of 10 Items) Type Ill Sum Partial Eta Source of Squares df Mean Square F Sig. Squared Corrected Model 443.733a 5 88.747 3.861 005 263 Intercept 46593.067 46593.067 2027.091 000 974 WeightStatus 205.733 N 102.867 4.475 016 142 Sex 2.400 H 2.400 104 748 002 WeightStatus * Sex 235.600 2 117.800 5.125 .009 .160 Error 1241.200 54 22.985 Total 48278.000 60 Corrected Total 1684.933 59 a. R Squared = .263 (Adjusted R Squared = .195)Estimated Marginal Means 1. Grand Mean Dependent Variable: Mean Std. Error 27.867 .619 Overall Score on SelfEsteem Scale (Sum of 10 Items) 95% Condence Interval Lower Bound Upper Bound 26.626 29.108 2. Participant Weight Status Dependent Variable: Participant Weight Status Mean Std- Error Lower Bound Upper Bound Estimates Overall Score on SelfEsteem Scale (Sum of 10 Items) 95% Condence Interval Healthy Weight 29.600 1.072 27.45 1 3 1.749 Overweight 28.700 1.072 26.551 30.849 Obese 25.300 1.072 23.151 27.449 Dependent Variable: (I) Participant Weight Status Healthy Weight Overweight Obese Pairwise Comparisons Overall Score on SelfEsteem Scale (Sum of 10 Items) 95% Condence IntDerval for Mean Difference (J) Participant Weight Difference \" Status J) Std. Error Sig.I3 Lower Bound Upper Bound Overweight .900 1.5 16 1.000 2.846 4.646 Obese 4.300% 1.516 .019 .554 8.046 Healthy Weight .900 1.5 16 1.000 4.646 2.846 Obese 3.400 1.516 .087 .346 7.146 Healthy Weight 4.300* 1.516 .019 8.046 .554 Overweight 3.400 1.516 .087 7.146 .346 Based on estimated marginal means Univariate Tests Dependent Variable: Overall Score on SelfEsteem Scale (Sum of 10 Items) Sum of Squares Contrast 205.733 Error 1241.200 Partial Eta df Mean Square F Sig. Squared 2 102.867 4.475 .016 .142 54 22.985 The F tests the effect of Participant Weight Status . This test is based on the linearly independent paimrise comparisons among the estimated marginal means. 3. Participant Weight Status * Participant Sex Estimates Dependent Variable: Overall Score on SelfEsteem Scale (Sum of 10 Items) Participant Weight Status Healthy Weight Ove meight Obese 95% Condence Interval Participant Sex Mean Std. Error Lower Bound Upper Bound Female 31.800 1.516 28.760 34.840 Male 27.400 1.516 24.360 30.440 Female 26.200 1.516 23.160 29.240 Male 31.200 1.516 28.160 34.240 Female 26.200 1.516 23.160 29.240 Male 24.400 1.516 21.360 27.440 Pairwise Comparisons Dependent Variable: Overall Score on SelfEsteem Scale (Sum of 10 Items) Mean (I) Participant Weight (J) Participant Weight Difference \"- Participant Sex Status Status J) Std . Error Sig.b 95% Condence lntterval for Difference Lower Bound Upper Bound Female Healthy Weight Ovemieight 5.600' Obese 1600* Ovenilieight Healthy Weight 5.600* Obese 1.066E14 Obese Healthy Weight 5.600* Overweight 1.066E14 .144 .144 .144 .144 .144 .144 .035 .035 .035 1.000 .035 1.000 .302 10.898 .302 10.898 -10.898 -.302 5.298 5.298 10.898 .302 -5.298 5.298 Healthy Weight Oveniveight 3.800 .144 .246 9.098 1.498 Obese 3.000 Oveniveight Healthy Weight 3.800 Obese 6.800' Obese Healthy Weight 3.000 Overweight 6.800* .144 .144 .144 .144 .144 2 2 2 2 2 2 2 2 2 2 2 2 .502 .246 .008 .502 .008 2.298 8.298 1.498 9.098 1.502 12.098 -8.298 2.298 12.098 1.502 Based on estimated marginal means *. The mean difference is signicant at the .05 level. b. Adjustment for multiple comparisons: Bonferroni. Univariate Tests Dependent Variable: Overall Score on SelfEsteem Scale (Sum of 10 Items) Sum of Partial Eta Participant Sex Squares df Mean Square F Sig. Squared Female Contrast 209.067 2 104.533 4.548 .015 .144 Error 1241.200 54 22.985 Male Contrast 232.267 2 116.133 5.053 .010 .158 Error 1241.200 54 22.985 Each F tests the simple effects of Participant Weight Status within each level combination of the other effects shown. These tests are based on the linearly independent painivise comparisons among the estimated marginal means. 4. Participant Weight Status * Participant Sex Estimates Dependent Variable: Overall Score on Self-Esteem Scale (Sum of 10 Items) 95% Confidence Interval Participant Weight Status Participant Sex Mean Std. Error Lower Bound Upper Bound Healthy Weight Female 31.800 1.516 28.760 34.840 Male 27.400 1.516 24.360 30.440 Overweight Female 26.200 1.516 23.160 29.240 Male 31.200 1.516 28.160 34.240 Obese Female 26.200 1.516 23.160 29.240 Male 24.400 1.516 21.360 27.440 Pairwise Comparisons Dependent Variable: Overall Score on Self-Esteem Scale (Sum of 10 Items) 95% Confidence Interval for Mean Difference Difference (1- Participant Weight Status (1) Participant Sex () Participant Sex J) Std. Error Sig, b Lower Bound Upper Bound Healthy Weight Female Male 4.400 2.144 045 101 8.699 Male Female -4.400 2.144 045 -8.699 -.101 Overweight Female Male -5.000 2.144 023 -9.299 -.701 Male Female 5.000 2.144 023 701 9.299 Obese Female Male 1.800 2.144 .405 -2.499 6.099 Male Female -1.800 2.144 .405 -6.099 2.499 Based on estimated marginal means *. The mean difference is significant at the .05 level. b. Adjustment for multiple comparisons: Bonferroni.Univariate Tests Dependent Variable: Overall Score on SelfEsteem Scale (Sum of 10 Items) Sum of Participant Weight Status Squares df Mean Square F Healthy Weight Contrast 96.800 1 96.800 4.211 Error 1241.200 54 22.985 Overweight Contrast 125.000 1 125.000 5.438 Error 1241.200 54 22.985 Obese Contrast 16.200 1 16.200 .705 Error 1241.200 54 22.985 Sig. .045 .023 .405 Partial Eta Sq uared .072 .091 .013 Each F tests the simple effects of Participant Sex within each level combination of the other effects shown. These tests are based on the linearly independent painrvise comparisons among the estimated marginal means. Profile Plots Estimated Marginal Means of Overall Score on SelfEsteem Scale (Sum of 10 Items) Participant 32 Sex Female Male 313 28 Estimated Marginal Means 2'5 24 Healthy Weight Overweight Obese Participant Weight Status GGraph Participant 35 Sex Female Male 30 25 Mean Self-Esteem Score 20 15 10 Participant Weight Status Error Bars: 95% CI Error Bars: +/- 1 SE