Psych 291 - Lecture 18 Factorial design variations

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Last updated 6:12 PM on 11/18/25
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13 Terms

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Review of Factorial Designs

Describe the difference between:

Independent Variable

Level

Condition

What is the minimum number of IVs in a factorial design?

What do you know about a study if you are told it is a 3 x 2 x 4 factorial design?

What is a main effect?

How many main effects are possible in a factorial design?

What is an interaction effect?

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Interactions - food

A crossover interaction:

The effect of IV1 on the DV is positive at one level of IV2 but negative at another level of IV2

A spreading interaction:

The effect of IV1 on the DV is stronger at one level of IV2 than at another level of IV2

  • parallel lines means no interactions 

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Interactions - drivers 

A crossover interaction:

The effect of IV1 on the DV is positive at one level

of IV2 but negative at another level of IV2

A spreading interaction:

The effect of IV1 on the DV is stronger at one

level of IV2 than at another level of IV2

Note: When the lines run parallel to each other (instead of

crossing over or spreading), this indicates there is no interaction.

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Example - Are there any main effects? Is there an interaction?

Main affects cell: (left) cell phone use makes you more likely to get into accidents

Age: (left) Older drivers get into more accidents 

Interaction: (left) Spreading (effect of cell phone use is stronger for older drivers than younger)

Main affects cell: (right) no main affect of cell phone use 

Age: (right) No main affect of age 

Interaction: (right) no interaction - parallel lines 

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Example - Are there any main effects? Is there an interaction?

Main Effects cell : left - yes on average, ppl on cell got into more accidents (have to take average of both)

Age:  left - old ppl get into more accidents

Interaction:  left -  for young no, but for old yes

cross over

Main Effects cell: right - on avg ppl had 5 accidents on cell, and 5 not on cell

Age:  right - avg of young on cell and not on cell (7 accidents) , avg of old on cell and not on cell (4 aciidents) - so yes

Interaction:  right - when ppl are on their phone it doesn’t matter

spreading

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Test your knowledge

There appears to be a main effect of training on test score in this graph.

A. yes

B. no

C. I can’t tell.

A: There is a main effect of training condition on test scores,

such that the vocabulary-training group scored higher than the

no-training group.

  • on avg. ppl did better with training than without

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Test your knowledge

There appears to be an interaction effect between training and subject on

test score in this graph.

A. yes

B. no

C. I can’t tell.

A: There is an interaction between training type and subject, such

that on the verbal test, the vocabulary-training group did better

than the no-training group, but on the math test, the two groups

did not significantly differ

  • did not do better on math but yes on vocab

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Factorial Variations

Independent Groups Factorial Designs

or between-subjects factorial

Within-Groups Factorial Designs

or repeated-measures factorial

Both IVs are manipulated as within groups

Mixed Factorial Designs

One IV is manipulated as independent groups and

one IV is manipulated as within groups

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Practice Problem

Researchers were interested in understanding how children with autism see and understand the world. Participants included children diagnosed with autism and typically developing children, who were all approximately the same age. All children were presented with several different stimuli on a large computer screen for one minute. Some of the stimuli on the screen were social (i.e., people’s faces), whereas other stimuli were nonsocial (i.e., inanimate objects). The percentage of time children spent looking at the social versus nonsocial stimuli was recorded (ranging from 0 to 100). The results are presented below:

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