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# means are listed in BLUE - PowerPoint PPT Presentation

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

=

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?

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)