# UW-Madison PSYCH 210 - Within-Subjects and Factorial ANOVA (3 pages)

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## Within-Subjects and Factorial ANOVA

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## Within-Subjects and Factorial ANOVA

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Lecture number:
22
Pages:
3
Type:
Lecture Note
School:
Course:
Psych 210 - Basic Statistics for Psychology
Edition:
1
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PSYCH 210 Lecture 22 Outline of Last Lecture I Within Subjects ANOVA a Calculations for F observed b Hypothesis testing steps Outline of Current Lecture I Finish Within subjects ANOVA a Hypothesis testing steps b Post hoc test c Assumptions II Factorial ANOVA Current Lecture I Continue counterfactual conditioning example a Return to steps of hypothesis testing i We cannot necessarily say our hypothesis is correct even if we reject H0 1 Calculate the critical value for Tukey a Tukey critical qt MS error n b See Tukey handout from last class i Conclusion 1 Do not state significant difference between IV and DV rather significant difference in DV according to IV state conditions 2 Include results of omnibus F 3 Include results of post hoc test 4 Describe pattern of means 5 Handout a Will not have to write paragraph on exam ii Assumptions for Within Ss ANOVA Interval or ratio data iii Independent observations iv Normal distribution v Homogeneity of variance vi Homogeneity of covariance These notes represent a detailed interpretation of the professor s lecture GradeBuddy is best used as a supplement to your own notes not as a substitute 1 Fits assumption a Individual ppl maintaining rank order across conditions A B C P1 9 1 10 1 12 1 P2 8 2 9 2 10 2 P3 6 3 7 3 9 3 2 Does NOT fit assumption II III A B B P1 9 1 2 3 7 3 P2 8 2 6 2 15 1 P3 6 3 15 1 10 2 Compare Between Ss and Within Ss designs a Example on handout i Not significant for Between Ss but YES significant for Within Ss 1 What accounts for the difference in significance for each test in the example a Same idea as difference between related and independentsample t tests b Between Ss i Fobs MSB MSw 67 6 19 25 3 512 NOT SIGNIFICANT c Within Ss i Fobs MSB MSE 9 197 SIGNIFICANT Factorial ANOVA a Why do we need a new test i So Far 1 ANOVA a Ability to test 2 Tx groups b Use different Ps in each group between Ss or the same Ps in all groups within Ss ii What if we want to test more than one IV or attribute variable at the same time 1 Example sociability in dogs a Adult Dogs Sociability to people i Factors IV 1 Prior treatment by people 2 Early socialization with other dogs people 3 Genetics 4 Current Context 5 Breed ii Testing single Independent Variable only looking at effect of one slice of the pie on the entire situation 1 Empty part of pie unexplained variability iii General definition 1 Two of more Independent Variables not just levels conditions of one IV 2 For each IV can also have 2 levels

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