7118 Lecture Notes - Lecture 4: Repeated Measures Design, Analysis Of Variance
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LECTURE 4A
FACTORIAL BETWEEN GROUPS ANOVA
Factorial anova
- When more than one IV
- 1 DV
- Eg
oEffect of exercise on depression
3 lvls of exercise
None
15mins
1hr
2nd IV time
Measure depression
oFactorial design
First IV = exercise (b/n groups; 3 lvls – none, 15, 1 hour) 3
2nd IV = time (w/n groups; 2 levels – before/after) 2
DV = depression level
o3x2 mixed design
- A x b x c type design
oHow many numbers and how many levels there are in each
oThe type tells the reader whether the IVs are
Between groups
Within groups
Mixed
- Eg effect of volume on advertising (low, medium, high; manipulated btw subjects) and
gender on ad persuasiveness
o3 x 2 between groups design
Terminology
- Eg a 3x2 btw groups deign analysed with a 3x2 between groups anova
Advantages
- Increase generalisability of results
- Interaction effects
oEffect of IV on DV dependant on other IV
- Economy
oCombination of studies
Factorial anova
- Three types
oFactorial between groups anova
oFactorial repeated measures anova
oMixed (split pot) factorial anova
- Depends on how you manipulate the variables you want to analyse
BETWEEN GROUPS FACTORIAL ANOVA
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- MS treatment and MS error
oWe have 3 versions of MS treatment, 1 for each IV and 1 for the interaction between
the IVs
oStill only 1 MS error
oDivide MS treatment by MS error to get F value
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Document Summary
First iv = exercise (b/n groups; 3 lvls none, 15, 1 hour) 3. 2nd iv = time (w/n groups; 2 levels before/after) 2. Dv = depression level: 3x2 mixed design. A x b x c type design: how many numbers and how many levels there are in each, the type tells the reader whether the ivs are. Eg effect of volume on advertising (low, medium, high; manipulated btw subjects) and gender on ad persuasiveness: 3 x 2 between groups design. Eg a 3x2 btw groups deign analysed with a 3x2 between groups anova. Interaction effects: effect of iv on dv dependant on other iv. Three types: factorial between groups anova, factorial repeated measures anova, mixed (split pot) factorial anova. Depends on how you manipulate the variables you want to analyse. If interaction between the variables is significant you interpret the findings in terms of that interactions. Best way to proceed is to look at the graph.