vtem edi

REPEATED-MEASUREMENT AND OTHER EXPERIMENTAL DESIGNS

Applying the appropriate computation formulas, the following sums of oš
sguares are obtained: ij

ROWS
dna BDS USTI
COLUMNS
h bo Tao 195756. (LENI o 7,ss3.10
INTERACTION
žžae-cžnio naret
— 122,984 — doga ali (2% MATA mati /la sze
z 16,843.40
TOTAL |
y s, Xi RO 122,984 — LL970- 5 961.50 |

r<l ez]

Table 19.2 summarizes the analysis-of-variance data for this example.
Because this is a mixed model with n< | and F, < s,?|s, — .279, no
meaningful test of row effects is possible. The proper error term for cal-
umn effects is s,,2. The F ratio for column effects is found to be 4.04.
The F ratios reguired for significance with 3 and 27 degrees of freedom as-
sociated with the numerator and denominator, respectively, are 2.96 at the
S percent and 4.60 at the | percent levels. Thus the column differences

Bb:
Bb:

čo ačak čaki

A RE EEEAEEEROEEEEWAREEEEEEERE

Tabie 19.2
Analysis of variance for data of Table 19.1

Source of Sum of Degrees of Variance
variation sguares freedom estimate
NA EI NE JE ENENNI
Rows 1,565.00 9 173,89 — s,?
Columns 7,553.10 3 2,517.70< 5?
Interaction 16,843.40 27 623.83 — s, ?
o NI RR
Total 25,961.50

o o zen nn
2 2

F,- 75404 F,< a 279

o, vv AM Ni —UI