Question

3) A researcher collected data from 724 students. The researcher wants to test whether the students' self-esteem scores change according to the course achievements categorized as good, medium and bad. According to the following SPSS output: a) Test the researcher's hypothesis by writing Ho and H1 hypotheses b) Calculate a, b, c, d, e and f values c) Write down the 'benlik saygisi' of those with good, medium and bad lecture success. Oneway [DataSet41 /Users/apple/Dropbox/Analiz/Aybüke/Numeric_veri.sav ANOVA Benlik Saygisi_Puani Square F Sio .000 d f Between Groups Within Groups Total Sum of Squares 1300,252 18916,698b 20216,950s e Post Hoc Tests Multiple Comparisons Dependent Variable: Benlik Sayg's Puani Tukey HD Mean Difference - Ders Basarisi Ders Basarisi Std. Error Kotu Orta -2,27551 .70769 ly -4,38440 .72108 Orta Kotu 2,27551 ,70769 -2.10890 .40071 Kotu 4,38440 .72108 Orta 2,10890 .40071 The mean difference is significant at the 0.05 level. Sig ,004 ,000 ,004 ,000 ,000 .000 95% Confidence interval Lower Bound Upper Bound -3.9376 -,6134 -6,0779 -2,6909 .6134 3,9376 -3.0500 -1,1678 2,6909 6,0779 1,1678 3,0500 Homogeneous Subsets Benlik Saygisi Puani Tukey HSDAL Subset for alpha 0.05 Ders Basaris N 1 2 3 Kotu 61 16,5574 Orta 371 18.8329 ly 292 20,9418 Sig 1,000 1,000 1,000 Means for groups in homogeneous subsets are displayed. a. Uses Harmonic Mean Sample Size = 133,253. b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed

Answer 1

a)

H0: The mean self-esteem scores of students are equal for all course achievements.

H1: Not all mean self-esteem scores of students are equal for all course achievements.

b)

a = Number of groups - 1 = 3 -1 = 2

b = Number of observations - Number of groups = 724 - 3 = 721

c = Number of observations - 1 = 724 - 1 = 723

d = SS Between / a = 1300.252 / 2 = 650.126

e = SS Within / b = 18916.698 / 721 = 26.23675

f = d / e = 650.126 / 26.23675 = 24.77921

c)

From the Tukey HSD table, the ‘benlik saygisi’ of good, medium and bad lecture success are significantly different.

The mean ‘benlik saygisi’ for kotu is 16.5574

The mean ‘benlik saygisi’ for orta is 18.8329

The mean ‘benlik saygisi’ for lyi is 20.9418