A developmental psychologist is examining the development of language skills fro

Question

A developmental psychologist is examining the development of language skills from age 2 to age 4. Three different groups of children are obtained, one for each age, with n=18 children in each group. Each child is given a language-skills assessment test. The resulting data were analyzed with an ANOVA to test for mean differences between age groups. The results of the ANOVA are presented in the following table. Fill in all missing values.

Between

treatments

Within

treatments

Source SS df MS

Between

treatments

48 _____ _____ F=____

Within

treatments

_____ _____ _____ Total 252 _____

Explanation / Answer

SS within treatments = 252-48 = 204

df of treatments (k-1) = 3 groups - 1 = 2

df of within treatments = N - k = 3*18 - 3 = 51

df of Total = N - 1 = 3*18 - 1 = 53

MS between treatments = 48/2 = 24

MS within treatments = 204 / 51 = 4

F = 24 / 4 = 6

Anova table is

Source SS df MS F-Ratio Between Treatments 48 2 24 6 With in Treatments 204 51 4 Total 252 53

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