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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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Presentation Transcript
slide1

Definitional Formulae

B

8

A

9

7

means are listed in BLUE

3

5

1

7

4

5.5

summary table
Summary Table

How could we calculate SSTotal?

fixed model
Fixed Model

I.

Partitioning Yirc into independent components

II.

III.

are randomly sampled from a normal population

All are independent

Homogeneity of variance; all

slide5

C = Fixed Variable

R = Random Variable

slide7

OR

(Pooled)

Only if

CANNOT be rejected

slide8

2 Between-Subject Factors

E(MS)

Fixed Model

r

=

c

=

rc

=

error

=

Mixed Model

(r=fixed, c=random)

r

=

c

=

rc

=

error

=

slide11

Between Subject Design

Simple Effects

Speed

No

Strategy

5.69=GMs

Strategy

5.06=GMn

172=GT

5.38=GM

Totals

Summary Table

slide12

Simple Effects

Tests for Significance

Why is this the appropriate error term?

slide13

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

= ?

slide14

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

slide15

Fixed Model

For One-way ANOVA (Fixed Model)

Where,

For factorial Design (two-way)