NM A

D OTHER EXPERIMENTAL DESIGNS 19.9 ILLUSTRATIVE EXAMPLE OF A TWO-FACTOR EXPERIMENT WITH REPEATED MEASUREMENTS ON ONE FACTOR 319

SIR

LA LI R

| measuremenis rabi MA Ti — —- Ty; < 2,405.20 — 2,193.30 < 211.90

WITHIN SUBJECTS

; ROC m n l RO on IH IH
; ba x ba Xi. — ral hI 5 Ti, < 2,664.00 — 2,405.20 < 258.80
3  COLUMNS
to T:
: EST: e. —Ipe — 287-00— 2,160.90 — 126. 10
RxC

4 ae
4 aaa Ti re. ze 7 Mi x T:

— 2,347.50 — 219330. — 2287.00 - 2,160.90 <— 28.10

zalculated as follows: 4 ko Cc n Roni LAC
— 2,405.20 E NžžXu cxžTu- ax Te tje x Tr.
3 j <— 2,664.00 — 2,405.20 — 2,347.50 -- 2,193.30 — 104.60
3.30 4
4 TOTAL

/74)'] < 2,287.00 r:
y y y Xi — Zag — 2,664.00 — 2,160.90 — 503.10

— 2,347.50 . . . .
The analysis-of-variance table for these data is shown in Table 19.6.
4 The degrees of freedom for rows are R—1<2—1< 1; for columns
54.00 Eo | are, C— 1 <5—1<4; and for R X C interaction are, (R — 1XC — 1) <
E | Table 19.6
zc. 19.8, the reguired 4 Analysis of variance for the data of Table 19.5
Noi
e Sum of Degrees of Variance
J Source sguares freedom estimate
s Between subjects 244.30
d Rows 32.40 1 32.40— s,
SIR 211.90 6 35.32 — si,
z 244. kal prina
o 44.30 Within subjects 258.80
4 ZI5S3Syz
RxC 28.10 4 7.03 5,2
SCIR 104.60 24 4.36 — sz

scir

Total 503.10 39
—— z nan a

2
Ro 5
J | Columns 426.10