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

2. Summary Table How could we calculate SSTotal? Source SS df MS F p B 1
W/cells 8
Total 11
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. Fixed Model
Means

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 5 15 25 35
No Strat
Mean
8.00
7.00
4.00
3.75 SD
.88 SE
.44
Strat
10.00
5.50
3.00
1.75
Total
9.00
6.25
3.50
2.75
.31

11. Between Subject Design
Simple Effects
Between Subject Design
Speed 5 15 25 35 7 4 3 8 6 9 32 28 16
(8.0)
(7.0)
(4)
(3.75) No
Strategy
5.69=GMs 10 5 2 1 6 3 9 4 11 40 22 12 7
(10.00)
(5.50)
(3.00)
(1.75)
(9) 72
(6.25) 50
(3.5) 28
(2.75) 22
Strategy
5.06=GMn
172=GT
5.38=GM
Totals
Summary Table
Source SS df MS F p
STRATS
3.125 1
4.05
M.S.
SPEED 3
64.833
84.09
<0.01
SXS
19.375
6.458
8.38
W/cells
18.500 24
.771
Total 31

12. Tests for Significance
Simple Effects
Tests for Significance df MS F p
SS(STRAT) at (5) 1
8.000
10.38
<0.01
“ (15)
4.500
5.84
<0.025
“ (25)
2.000
2.59
M.S.
“ (35)
SS(speed) at STRAT 3
18.229
23.64
“ NO STRAT
53.062
68.82
W/cells 24
.771
Why is this the appropriate error term?

13. Additivity of Simple Effects
SS(STRAT) at Speed = SS(STRAT) + SSSXS
= 22.5
Interaction
= 22.5
SS(Speed) at STRATS = SS(Speed) + SSSXS = =
Simple Effect is another partition
Of What??
Experimental wise
= ?
Familywise
= ?

14. Multiple Comparisons Levels of STRATS were already tested
Speed 5 15 25 35 9
6.25
3.5
2.75
n replaced with (nx2)
W2 = q.05 (2,24) = W3
(3,24) = W4
(4,24) =
Tukey
Multiple Comparisons between cells

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