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Calculating SSTotal in Speed Between-Subject Design: An ANOVA Practical Guide

Learn how to partition Y into independent components and calculate SSTotal using fixed and random factors in a two-way ANOVA design with simple effects tests and multiple comparisons.

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Calculating SSTotal in Speed Between-Subject Design: An ANOVA Practical Guide

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  1. Definitional Formulae B 8 A 9 7 means are listed in BLUE 3 5 1 7 4 5.5

  2. Summary Table How could we calculate SSTotal?

  3. Fixed Model I. Partitioning Yirc into independent components II. III. are randomly sampled from a normal population All are independent Homogeneity of variance; all

  4. Means Fixed Model

  5. C = Fixed Variable R = Random Variable

  6. Means

  7. OR (Pooled) Only if CANNOT be rejected

  8. 2 Between-Subject Factors E(MS) Fixed Model r = c = rc = error = Mixed Model (r=fixed, c=random) r = c = rc = error =

  9. Descriptive Statistics Speed

  10. Between Subject Design Simple Effects Speed No Strategy 5.69=GMs Strategy 5.06=GMn 172=GT 5.38=GM Totals Summary Table

  11. Simple Effects Tests for Significance Why is this the appropriate error term?

  12. Additivity of Simple Effects SS(STRAT) at Speed = SS(STRAT) + SSSXS 8.0 + 4.5 + 2.0 + 8.0 = 22.5 Interaction 3.125 + 19.375 = 22.5 SS(Speed) at STRATS = SS(Speed) + SSSXS 54.6875 + 159.1875 = 213.875 194.500 + 19.375 = 213.875 Simple Effect is another partition Of What?? Experimental wise = ? Familywise = ?

  13. Multiple Comparisons Levels of STRATS were already tested Speed n replaced with (nx2) W2 = q.05 (2,24) = W3 = (3,24) W4 (4,24) = Tukey Multiple Comparisons between cells

  14. Fixed Model For One-way ANOVA (Fixed Model) Where, For factorial Design (two-way)

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