8 Multifactor designs: 2-way between-subjects ANOVA Flashcards

1
Q

For a 2x2x2 ANOVA, how many effects (including interactions) would there be in the equation?

A

3 main effects
3 two-way interactions
1 three-way interaction

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2
Q

In the ANOVA equation, what is μ (mu)?

A

The grand mean

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3
Q

How many groups will there be in a 2x2x2 design?

A

8

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4
Q

How can you make a three-way design into a one-way design?

A

By averaging over two of the IVs.

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5
Q

What are the 6 assumptions of ANOVA?

A
  1. Quantitative DV (interval or ratio scaling)
  2. Random sampling
  3. Random allocation to conditions (independence of observations)
  4. Homoscedasticity*
    - For each level of A, the variance is equal.
  5. Balanced design*
  6. Normal distribution*
    within conditions
    * the last three can be violated
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6
Q

Homoscedasticity –is it about gay skiers?

A

Yes.

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7
Q

Partial η (eta) squared is the same as R-squared when there is…

A

Only one predictor (or IV) in the model.

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8
Q

Marginal means will differ from descriptives if…

A

Marginal means will differ from descriptives if you include a covariate.

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9
Q

In a 2x2 design, what do significant main effects, but no significant interaction, mean?

A

There are differences between the levels of each IV, and that these differences are consistent across the levels of the other IV.

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10
Q

How is partial eta squared calculated?

A

The SS for that condition over the SS for that condition plus error.

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11
Q

Why is partial eta squared partial?

A

Because the denominator is not the total SS – it doesn’t account for the SS of other conditions in the model or of interactions.

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12
Q

In a three-way design, where the two-way interactions are not significant, but the three-way IS significant, what does this mean?

A

That each of the two-way interactions differ depending on the level of the third variable.

AxB @ C1 is different from AxB @C2
AxC @B1 is different from AxC @B2
BxC @A1 is different from BxC @A2

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13
Q

How do you get an F value from a contrast estimate?

A

Divide contrast estimate by std. error to get t, then square to get F.

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14
Q

How do you describe a significant three-way interaction in a 2x2x2 model for variables A, B and C?

A

The difference between A1 and A2 is different between B1 and B2 depending on whether C1 or C2.

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15
Q

_____-order interactions qualify _____-order interactions and ____ effects.

A

Higher-order interactions qualify lower-order interactions and main effects.

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