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Post Hoc Tests in ANOVA Analysis: Tukey's HSD

Learn about post hoc tests in ANOVA analysis, specifically focusing on Tukey's HSD method. Understand how to test pairwise differences and interpret the results. Explore complex hypotheses within Tukey's HSD framework. Discover the significance of MSW and QCV in post hoc testing.

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Post Hoc Tests in ANOVA Analysis: Tukey's HSD

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  1. Finals Schedule • Section 1: 9:00 AM Monday, May 15

  2. Post Hoc Tests Chapter 14 Homework: problem 1

  3. Interpreting ANOVA • ANOVA: testing omnibus null hypothesis • H0 : m1 = m2 = m3 = … = mk • Accept H0 • all possible pairwise and complex H0 are true • RejectH0 • at least one is false • do not know which one(s) ~

  4. Post Hoc Tests • Post hoc: after the fact • only after rejecting ANOVA H0 • Hypothesis tests • Determine which means differ from each other • or combination of means • complex hypotheses • several different types of post hoc tests ~

  5. Post Hoc Tests • Cannot use t test • must set abefore collecting and examining data • e.g., flip a coin • P(heads), before you flip? • P(heads) if you flip and peek? • ANOVA then t test is like peeking • P(Type 1 error) no longer a = .05 ~

  6. Post Hoc Test: Tukey’s HSD • HSD: honestly significant difference • Use to test pairwise H0 • only after significant ANOVA • Test statistic is Q • studentized range statistic (A.5, p480) ~

  7. Post Hoc Test: Tukey’s HSD • MSW is mean squared within groups • s2pooled • unequal n use MSW from ANOVA ~

  8. Tukey’s HSD: QCV • Table A.5, p. 480 (a = .05) • p. 481 (a = .01) • need 2 pieces of information • 1st column: dfW • (nG - k) • 1st row: k = # groups • NOTdfB = k - 1 • Find QCV same as others ~

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