Table 3. MAR example: Results from a hypothetical clinical trial evaluating the effect of treatment on improvement in body fat (Outcome).
a. Results from the whole study population. | ||||
Men | Outcome | |||
| ||||
Treatment | Y | N | ||
• Outcome in A = 225/300 = 0.75 | ||||
A | 225 | 75 | 300 | • Outcome in B = 150/300 = 0.50 |
B | 150 | 150 | 300 | • Risk Ratio = 1.5 |
375 | 225 | 600 | ||
| ||||
Women | Outcome | |||
| ||||
Treatment | Y | N | ||
• Outcome in A = 90/300 = 0.30 | ||||
A | 90 | 210 | 300 | • Outcome in B = 60/300 = 0.20 |
B | 60 | 240 | 300 | • Risk Ratio = 1.5 |
150 | 450 | 600 | ||
| ||||
Total | Outcome | |||
| ||||
Treatment | Y | N | • Outcome in A = 315/600 = 0.525 | |
• Outcome in B = 210/600 = 0.35 | ||||
A | 315 | 285 | 600 | • Risk Ratio =1.5 |
B | 210 | 390 | 600 | • 95%CI=1.31, 1.71 |
525 | 675 | 1200 | • Mantel Haenszel RR=1.5 | |
• 95% CI=1.33, 1.70 | ||||
| ||||
b. Results from completers following missing data from a Missing
At Random Mechanism (MAR)*.
| ||||
Men | Outcome | |||
| ||||
Treatment | Y | N | ||
• Outcome in A = 180/240 = 0.75 | ||||
A | 180 | 60 | 240 | • Outcome in B = 120/240 = 0.50 |
B | 120 | 120 | 240 | • Risk Ratio = 1.5 |
300 | 180 | 480 | ||
| ||||
Women | Outcome | |||
| ||||
Treatment | Y | N | ||
• Outcome in A = 81/270 = 0.30 | ||||
A | 81 | 189 | 270 | • Outcome in B = 27/135 = 0.20 |
B | 27 | 108 | 135 | • Risk Ratio =1.5 |
108 | 360 | 405 | ||
| ||||
Total | Outcome | |||
| ||||
Treatment | Y | N | • Outcome in A = 261/510 = 0.51 | |
• Outcome in B = 147/375 = 0.39 | ||||
A | 261 | 249 | 510 | • Risk Ratio = 1.31 |
B | 147 | 228 | 375 | • 95% CI=1.12, 1.52 |
408 | 477 | 885 | • Mantel Haenszel RR=1.5 | |
• 95% CI=1.30, 1.73 |
*Probabilities of missing are dependent on the combination of treatment and gender to mimic an MAR mechanism
Probability Missing for Men in Trt A = 0.20
Probability Missing for Men in Trt B = 0.20
Probability Missing for Women in Trt A = 0.10
Probability Missing for Women in Trt B = 0.55