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Definitional Formulae. B. 8. A. 9. 7. means are listed in BLUE. 3. 5. 1. 7. 4. 5.5. Summary Table. How could we calculate SS Total ?. Fixed Model. I. Partitioning Y irc into independent components. II. III. are randomly sampled from a normal population.
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Definitional Formulae B 8 A 9 7 means are listed in BLUE 3 5 1 7 4 5.5
Summary Table How could we calculate SSTotal?
Fixed Model I. Partitioning Yirc into independent components II. III. are randomly sampled from a normal population All are independent Homogeneity of variance; all
Means Fixed Model
C = Fixed Variable R = Random Variable
OR (Pooled) Only if CANNOT be rejected
2 Between-Subject Factors E(MS) Fixed Model r = c = rc = error = Mixed Model (r=fixed, c=random) r = c = rc = error =
Descriptive Statistics Speed
Between Subject Design Simple Effects Speed No Strategy 5.69=GMs Strategy 5.06=GMn 172=GT 5.38=GM Totals Summary Table
Simple Effects Tests for Significance Why is this the appropriate error term?
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 = ?
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
Fixed Model For One-way ANOVA (Fixed Model) Where, For factorial Design (two-way)