Test 4 one way repeated measures anova Flashcards
An inferential statistical test for comparing the means of 3 or more groups using a correlated-groups design and one IV.
one-way repeated measures anova
the one way repeated measures anova can be used with what 2 correlated group designs?
within subjects and matched subjects designs
The _________ is the total amount of variability in the entire data set (across all conditions)
total sum of squares
In the one way repeated measures anove, what was refered to as the between groups ss is called ______.
between treatments or simply a between, sum of squares.
not between GROUPS sum of squares
The within-groups sum of squares, for the repeated measures anova is split into two sources of variance:
subject variance and error (residual)
how do you find the within groups ss for repeated measures anova?
same formula for sswithin: ∑(X-Xt)^2
t is the same as g, but instead of group means, it is called treatment means.
then you find the subject ss.
∑[Xs-XG)^2xk]
Xs is the mean across treatments for each participant. k is the number of treatments.
after the variability due to individual differences (sssubjects) has been removed from the within groups ss, the error sum of squares is left
SS within- SS subjects = sserror
df total =
N-1
N = total number of scores in the study
df subjects =
n-1
n=number of subjects
df error
df between x df subjects
df between =
k-1
k is number of conditions
f-ration =
MS between / MS error
to determine the F critical, we use
df between and df error
if f ratio is less than 1
we fail to reject, no effect of IV and no systematic variance, if greater than 1, support Ha
A design with more than IV
factoral design
all levels of each IV are paired with all levels of every other IV
complete factorial design
