Statistical Methods in Medical Research 4ed

Table 9.3 Clotting times (min) of plasma from eight subjects, treated by four methods.
Treatment
Subject 1 2 3 4 Total Mean
1 8 4 9 4 9 8 12 2 39 8 9 95
2 12 8 15 2 12 9 14 4 55 3 13 82
3 9 6 9 1 11 2 9 8 39 7 9 92
4 9 8 8 8 9 9 12 0 40 5 10 12
5 8 4 8 2 8 5 8 5 33 6 8 40
6 8 6 9 9 9 8 10 9 39 2 9 80
7 8 9 9 0 9 2 10 4 37 5 9 38
8 7 9 8 1 8 2 10 0 34 2 8 55
Total 74 4 77 7 79 5 88 2 319 8
Mean 9 30 9 71 9 94 11 02 (9 99)
Correction term, CT ˆ…319 8† 2 =32 ˆ 3 196 0013
Between-Subjects SSq ˆ‰…39 8† 2 ‡ ...‡…34 2† 2 Š=4 CT ˆ 78 9888
Between-Treatments SSq ˆ‰…74 4† 2 ‡ ...‡…88 2† 2 Š=8 CT ˆ 13 0163
Total SSq ˆ…8 4† 2 ‡ ...‡…10 0† 2 CT ˆ 105 7788
Residual SSq ˆ 105 7788 78 9888 13 0163 ˆ 13 7737
Analysis of variance
SSq DF MSq VR
Subjects 78 9888 7 11 2841 17 20 (P < 0 001)
Treatments 13 0163 3 4 3388 6 62 (P ˆ 0 003)
Residual 13 7737 21 0 6559 1 00
Total 105 7788 31
For purposes of illustration the residuals are shown below:
Treatment
9.2 Two-way analysis of variance: randomized blocks 243
Subject 1 2 3 4 Total
1 0 86 0 27 0 10 1 22 0 01
2 0 33 1 66 0 87 0 45 0 01
3 0 37 0 54 1 33 1 15 0 01
4 0 37 1 04 0 17 0 85 0 01
5 0 69 0 08 0 15 0 93 0 01
6 0 51 0 38 0 05 0 07 0 01
7 0 21 0 10 0 13 0 01 0 03
8 0 04 0 17 0 30 0 42 0 01
Total 0 02 0 00 0 04 0 02 0 04