One-Way ANOVA

Question 1

When to use one-way ANOVA

Answer 1

When you are comparing 3+ unrelated sample means.

Question 2

Analysis of Variance (ANOVA)

Answer 2

Hypothesis test used to determine whether there is a significant difference between 3+ means.

Question 3

Factor

Answer 3

Independent variable (IV)

Question 4

Level

Answer 4

Condition within IV.

Question 5

Calculate F-Ratio

Answer 5

1. Calculate SS
2. Calculate df
3. Calculate MS
4. Calculate F-ratio

Question 6

SS(between)

Answer 6

Includes effect of IV and random things (sampling error). Researchers want to maximize between-group variability.

Question 7

SS(within)

Answer 7

Includes random things (sampling error), aka error variance. Researchers want to minimize within-group variability.

Question 8

SS(total) variability

Answer 8

SS(between) + SS(within)

Question 9

df(Total)

Answer 9

N - 1 (also df(between) + df(within))

Question 10

df(within)

Answer 10

N - k

Question 11

df(between)

Answer 11

k - 1

Question 12

MS(between)

Answer 12

SS(between)/df(between)

Question 13

MS(within)

Answer 13

SS(within)/df(within)

Question 14

F-ratio formula

Answer 14

MS(between)/MS(within)

Question 15

Hypothesis testing steps

Answer 15

1. State hypotheses
2. Set the criteria for a decision (find F[crit])
3. Compute F-ratio
4. Make a decision

Question 16

Null hypothesis

Answer 16

H0: μ1 = … = μn

Question 17

Alternative hypothesis

Answer 17

At least one mean is different.

Question 18

Eta squared definition

Answer 18

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

Question 19

Eta squared formula

Answer 19

η2 = SS(between)/SS(total)