Statistical Analysis for Education and Psychology Researchers

(Jeff_L) #1

(repeated


measures)—8.27


where:
Trm=Total score over repeated measurements for each subject
nrm=Number of repeated measures
nt=Number of treatments (conditions)
ns=Number of subjects
xi=Individual score

c) Corrected total sums of squares SS(ct)
The corrected total sums of squares are given in the usual way:


Corrected total sums


of squares (repeated


measures)—8.28


Where:
xi=Individual score
nt=Number of treatments (conditions)
ns=Number of subjects

SS(ct)=948–777.6=170.40
d) Error sums of squares SS(error)
The error sums of squares are obtained by subtraction,


SS(error)=SS(ct)−SS(subj)−SS(bet)


SS(error)=170.400–33.733–107.20=29.467


Step 2: Evaluate degrees of freedom

The df for SS(bet) are number of conditions−1=2; df for SS(subj) are the number of
subjects−1=4; the df SS(ct) are the total number of scores−1= 14; and the df for SS(error) are
obtained by subtraction of (df(bet)+df(subj)) from df(ct)=(14−(2+4))=8.


Step 3: Evaluate mean squares

Inferences involving continuous data 329
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