Repeated measures ANOVA

Question 1

If sphericity is not satisfied

Answer 1

Results from RM ANOVA are not robust.
* Increases chances of TYPE II error.

Question 2

Mauchly’s test estimates

Answer 2

the degree of sphericity

Question 3

Sphericity implies

Answer 3

that all pairwise interaction will be equally large

Question 4

What is sphericity

Answer 4

It is the condition of equal variances among the differences between all possible pairs of
within-subject conditions (i.e., levels of the independent variable). Sphericity refers
to the condition where the variances of the differences between all combinations
of related groups are equal.

Question 5

Assumptions of RM ANOVA

Answer 5

• Independent random sampling
• Normal distributions
• Homogeneity of variances
• Homogeneity of co-variance

Question 6

Compound symmetry

Answer 6

• Homogeneity of variances
• Homogeneity of co-variance

Question 7

Homogeneity of covariance exists only when

Answer 7

all pairs of treatment levels have the same amount of covariance

Question 8

Epsilon

Answer 8

estimate of the degree of sphericity in the experimental data.
ε can be multiplied by the df of RM ANOVA to calculate adjusted degree of freedom to get adjusted critical F ratio.

Question 9

How is epsilon valuated

Answer 9

via various pairwise interactions in the experimental data.

Question 10

How is epsilon evaluated

Answer 10

• Greenhouse and Geisser method.
  *
  Huynh and Feldt method

Question 11

Value ranges of epsilon

Answer 11

Its value ranges from 1 to 1/(c-1).
1 is maximum value and represents presence of sphericity.
1/(c-1) total lack of sphericity.

Question 12

Repeated measures design

Answer 12

research design that involves multiple measures
of the same variable taken on the same or matched subjects either under
different conditions or more than two time periods.

Question 13

An ANOVA with repeated measures is

Answer 13

used to compare three or more group
means where the participants are the same in each group.

Question 14

The matched pairs (or repeated measures) ANOVA compares means across

Answer 14

three or more levels of the treatment (or conditions) that are based on repeated
observations.

Question 15

Applicable in data-sets where

Answer 15

at least 1 dependent variable that has more than
one observation, and when at least one of the factors is related (i.e., matched
pairs IV has been used).