One-Way RM ANOVA

Question 1

RM

Answer 1

Repeated Measures

Question 2

Ss

Answer 2

Subjects

Question 3

One-Way RM ANOVA

Answer 3

Analysis of variance when you have one nominal IV, one interval/ratio DV, and the levels of the IV are related. You use the same subjects/participants at each level.

Question 4

One-Way RM ANOVA example

Answer 4

Recruit athletes and have them attempt to score as many goals as possible while being watched by 0 people, 5 people, and 100 people.

Question 5

Source table labels

Answer 5

Sources: Between, IV, Ss, Within, and Total.

Question 6

Calculating F-ratio

Answer 6

1. Calculate SS:
   a. Calculate SS(b/w). You will be provided SS(IV) and SS(Ss)
   b. Calculate SS(Total)
   c. Calculate SS(w/in)
2. Calculate dfs (5):
   a. Calculate df(IV)
   b. Calculate df(Ss)
   c. Calculate df(b/w)
   d. Calculate df(Total)
   e. Calculate df(w/in)
3. Calculate MS (2):
   a. Calculate MS(IV)
   b. Calculate MS(w/in)
4. Calculate F-ratio (1)

Question 7

One-Way RM ANOVA hypothesis testing steps

Answer 7

1. Compute F ratio
2. Set criteria for decision: using df(IV), df(w/in), and α level
3. Make a decision: if F > F[crit], results are sig and you can conclude that the IV has an effect on the DV; if F < F[crit], results are nonsig (IV does not have an effect on DV)!!
4. Compute comparisons: Run a Tukey test if needed (only for sig results)

Question 8

SS(b/w) formula

Answer 8

SS(IV) + SS(Ss)

Question 9

SS(IV) definition

Answer 9

Group’s difference from GM

Question 10

SS(Ss) definition

Answer 10

Ss’s difference from GM

Question 11

SS(w/in) formula

Answer 11

SS(total) – SS(b/w)

Question 12

SS(total) formula

Answer 12

SS(b/w) + SS(w/in)

Question 13

df(b/w) formula

Answer 13

df(IV) + df(Ss)

Question 14

df(IV) formula

Answer 14

k - 1

Question 15

df(Ss) formula

Answer 15

N - 1

Question 16

df(w/in) formula

Answer 16

df(total) - df(b/w)

Question 17

df(total) formula

Answer 17

(N * k) - 1

Question 18

MS(IV) formula

Answer 18

SS(IV)/df(IV)

Question 19

MS(w/in) formula

Answer 19

SS(w/in)/df(w/in)

Question 20

F-ratio formula

Answer 20

MS(b/w)/MS(w/in)

Question 21

F[crit] components

Answer 21

df(IV) as numerator df, df(w/in) as denominator df, α (alpha level)

Question 22

Post-hoc tests

Answer 22

Compare all means after conducting ANOVA

Question 23

Tukey test formula

Answer 23

q(x,y) = [M(x) - M(y)]/√(MS(within)/n). Use critical q-table to locate q(crit) after computing formula for each pairing of your IV levels.

Question 24

Tukey test steps

Answer 24

1. Calculate denominator term
2. Calculate q(x,y) - Tukey test formula
3. Locate q(crit): use k, df(w/in), and α (alpha level)
4. ID significant differences between means (interpret meaning in context of problem)

Question 25

Eta squared (η2)

Answer 25

Percentage of variance in the DV that can be attributed to the IV.

Question 26

η2 formula

Answer 26

η2 = SS(IV)/SS(total)