1. In order to see the effect of different exercise programs on working memory performance, researchers assigned participants into three different exercise programs, Program A, B, and C. After one session of the exercise program, they collected the data of a working memory task. Program A: 4, 2, 8, 7 Program B: 9, 12, 12 Program C: 20, 16, 18, 8, 14   a.) What kind of research design did they use here (between-groups or within-groups)? b.) Which statistical test to choose in this example? c.) Dfbetween = Ngroups - 1 =?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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1. In order to see the effect of different exercise programs on working memory performance, researchers assigned participants into three different exercise programs, Program A, B, and C. After one session of the exercise program, they collected the data of a working memory task.

Program A: 4, 2, 8, 7

Program B: 9, 12, 12

Program C: 20, 16, 18, 8, 14

 

a.) What kind of research design did they use here (between-groups or within-groups)?

b.) Which statistical test to choose in this example?

c.) Dfbetween = Ngroups - 1 =?

d.) Dfwithin = df1 + df2 + (however many df) + dflast =?

e.)Dftotal = dfbetween + dfwithin =?

f.) The critical value, assuming a p value of .05

 

 

g.) The mean for each group and the grand mean

Mprogram A =?

Mprogram B =?

Mprogram C =?

 GM = ∑ (x) / Ntotal =?

 

h.) The within-groups sum of squares = SSwithin = ∑ (X - M)2 =?

i.) The between-groups sum of squares = SSbetween = ∑ (M - GM)2 =?

 

j.) The rest of the ANOVA source table for these data

MSbetween = SSbetween / dfbetween =?

MSwithin = SSwithin / dfwithin =?

F = MSbetween / MSwithin =?

Your conclusion based on the results? (Whether the result is significant? Whether the exercise program has different effect on working memory task in the experiment?)

 

 

k.)  The effect size and an indication of its size

SStotal = SSbetween + SSwithin = ?

R2 = SSbetween / SStotal =?

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