A researcher studies the effect of three practice methods on memory. A sample of

Question

A researcher studies the effect of three practice methods on memory. A sample of n=3 subjects memorizes a list of nonsense syllables (e.g. ZOK) using method A. During a recall tests, the number of errors are recorded. This procedure is repeated for methods B and C. The data are presented below. Subject A B C 1 3 0 0 2 6 3 0 3 6 3 3 Source SS df MS F Between Treat Within Treat Between subj Error Total Are there significant differences among the three methods? Set alpha at .05 Also write up the results in APA style.

Explanation / Answer

subject---A---B--C 1----------3----0--0 2----------6----3---0 3----------6----3---3 Source--------------------SS----------------D.F.-------M.S.---------F between treatment-----8.66666667-------2-----4.3333333------0.6842 within treatments-------18-----------------2----------9-----------1.4210 between subjects-------4.666666667------2------2.3333333-----0.3684 error----------------------12.666666667-----2-----6.3333333-------1 total-----------------------44-----------------8-------5.5-------------0.8684 now we want to test if there is significant difference between the 3 methods.. the test statistic is F ( between treatment ) = 0.6842 and we reject the null ( there is no difference between the treatments) at 0.05 level if F > F0.05,2,2 where F0.05,2,2= 19 is the 0.95th quantile of F(2,2) distribution... since F

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