SECTION 8.14 TYPE SPF-p.gr DESIGN 305

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TABLE 8.14-5 Formulas for Testing Simple Effects

(i) AB interaction significant: Error Term (A, B, and C Fixed Efjects, Subjects Random)
(Es)
B.
SS, at b, -$ (AB,)? — NI H MS,; w.groups bt MS, subj w.groups(4 TI l
1 npr 4

4 2
so (ža)
SS, at a, - $ 4Bu? o Mr 7

h nr ngr MS, X subj w.groups

(ii) AC interaction significant:

Cc,
SS, atc, — y (aC,,)? (ž ) MS,.sj w.gtoups t MS, ,ubj w groupsi? Nm l)
A 1 n —
1 a npg r

r 2
2 (ža)
SS, at a, < pati (AC? AT?)

ng ngr MS« x subj w.grovps

(iii) BC interaction significant:

4
ci)
ss — : (BC, (ž ji MS,, subj w.groups - MSc x subj w.groups (F TT |)
g at Cl, — Ne — —
1 P npg r

rj

SS, at b, s y (BC) žeš | MS«, zubi w.groups t MSyc x subj w.groups(g — b

TO np npr 4
(iv) ABC interaction significant:

. (ABC,,," — (BC,,)? MS

S tb — dl 11 w.ceil

S,atbe,, a EP —- np

SS; at ac,, < y (ABGa" dia, s, 1 MS, subj w.groups 7 MSyc x subi w.groups(' — |)

1 ng . r
2 a , ; —- 1

SS, at ab,, ti y baBč, u) — 25 MS, ti w.groups t a subj w.sroups(4 )

1

sumov (ča)

SS, atc, < pa
11 hpg
— SS, al - SS, atc, MS, x subj w.groups ka MS;yc x subj w groups" TT |)
r
(ga)
SS, at b, m zz ET.
Ž. ž npr
— SS, at b, T SS« at b, MS«. ubi w.groups t MSyc x subj w.groups(4 - h
ra |
4)
SSe at a, — py (ABC? (ABC !

ri ngr

— SSyata, — SScata, MSyc x subj w.grovps

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