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 5. Four different groups of children are obtained, one for each age, with n=15 children in each group. Each child is given a language skills assessment test. The test resulting data were analyzed with an ANOVA to test the mean differences between age groups. The results of the ANOVA are presented in the following table. Fill in the missing values.  Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all missing values.

Source SS df MS Between 81 F = 9 Within Total 249

Explanation / Answer

We have

No.of treatments T=4

Total students N=15*4 =60

We know that

SST=SSBetween+SSWithin

MSB=SSB/(degrees of freedom)

MSE=SSE/(df)

F=MSB/MSE

Source SS df MS Between 81 3 27 F = 9 Within 168 56 3 Total 249 59

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