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PSYC3010 > Three-Way ANOVAs > Flashcards

Three-Way ANOVAs Flashcards

1
Q

What is a strength of a three-way ANOVA?

A

Higher external validity as the world is complicated and has many variables and interactions

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2
Q

What is a main effect in a three-way ANOVA?

A

A difference between marginal means of one factor averaging over levels of the other two factors

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3
Q

What is a two-way interaction in a three-way ANOVA?

A

When the effect of one factor changes depending on the level of another factor, averaging over the levels of the third factor

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4
Q

What is a simple interaction?

A

A two-way interaction within the level of a moderator

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5
Q

How do you identify a three-way interaction from simple interactions?

A

If the pattern of one simple interaction within one level of a moderator is different from the pattern of the other simple interaction within the other level of the moderator

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6
Q

What is a simple simple effect?

A

The effect of a focal IV in one level of each moderator

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7
Q

What is a three-way interaction?

A

When the two-way interaction between two factors changes depending on the level of the third factor

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8
Q

How many omnibus tests does a three-way ANOVA have?

A

7: 3 main effects, 3 two-way interactions and 1 three-way interaction

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9
Q

What are the parts of the structural model of a three-way ANOVA?

A

Grand mean
Main effect of A
Main effect of B
Main effect of C
AB interaction
AC interaction
BC interaction
ABC interaction
Error

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10
Q

What is dftotal?

A

N - 1

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11
Q

What are the degrees of freedom for the main effects in a three-way ANOVA?

A

j-1
k-1
l-1

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12
Q

What are the degrees of freedom for the two-way interactions in a three-way ANOVA?

A

(j - 1)(k - 1)
(j - 1)(l- 1)
(k - 1)(l - 1)

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13
Q

What is the degrees of freedom for the three-way interaction in a three-way ANOVA?

A

(j - 1)(k - 1)(l -1)

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14
Q

What follow-up test is required for a significant main effect in a three-way ANOVA?

A

Main effect comparisons (pairwise comparisons)

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15
Q

What follow-up tests are required for a significant 2- way interaction?

A
  1. Simple effect tests
  2. Simple comparisons (if 2+ levels)
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16
Q

What follow up test is required for a significant simple effect test in a three-way ANOVA?-

A

Simple comparisons (if 2+ levels)

17
Q

What follow-up tests are required for a significant 3-way interaction in a three-way ANOVA?

A
  1. Simple interaction effects
  2. Simple simple effects
  3. Simple simple comparisons (if 2+ levels)
18
Q

What follow-up tests are required for a significant simple interaction effect in a three-way ANOVA?

A
  1. Simple simple effects
  2. Simple simple comparisons (if 2+ levels)
19
Q

What follow-up tests are required for a significant simple simple effect in a three-way ANOVA?

A

Simple simple comparisons (if 2+ levels)

20
Q

What do simple interactions effects do?

A

Break down the 3-way interaction into a series of 2-way interactions at each level of the least interesting factor

21
Q

What variable are simple simple effects and simple simple comparisons only conducted for?

A

The focal IV

22
Q

What is the advantage of doing a three-way ANOVA as opposed to 2 two-way ANOVAs?

A

The error term is more powerful and smaller as variance is accounted for by 3 main effects, 3 two-way interactions and 1 three-way interaction

23
Q

What is the difference between doing simple interaction effects and doing a two-way ANOVA?

A

Simple interaction effects uses a pooled error term from the 3-way omnibus ANOVA as opposed to two seperate MSerrors from the 2-way omnibus ANOVA for each level of the moderator

24
Q

What do simple simple effects do?

A

Examine the effect of the focal IV at each level of each moderator

25
Q

How many simple simple effects are done?

A

One for every level of the two moderators

PSYC3010 (15 decks)

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