9. Another researcher wanted to understand the rel surveyed unemployed, retired.

Question

9. Another researcher wanted to understand the rel surveyed unemployed, retired. part-time, and full-time employees. Unf Below is an incomplete source/summary table for his study. Fill out missing informat Source Between Within Total ip life satisfaction and employment. He ely, he lost some of his data. ion (10 points) DF 16 36 128 Based on these data, what percent of variance in life satisfaction is explained by employmen status? ls large effect? (4 points) of uorious tunes of social power used by

Explanation / Answer

K= 4-Groups

SS(Total)= 128, MS(Between)= 16 and DF(Within)= 36

DF(Between) =K-1 =4-1 =3

DF(Within) =N-K= 36

=> N= 36+4 =40

SS(Between) => SS(Between)/ DF(Between) = 16=>SSB= 16*3 =48

SS(Within) =SS(Total) -SS(Between) =128-48= 80

MS(Within) =SS(Within) / DF(Within) =80/ 36 = 2.222

F= MS(Between) / MS(Within) = 16/2.222 =7.2

B) Percent of variation explained by employment status:

R-squared(Coefficient of determination)= SS(between) / SS(Total) = 48/ 128 =0.375 or 37.5%

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