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. Author manuscript; available in PMC: 2017 Jun 13.
Published in final edited form as: Epidemiology. 2017 Jul;28(4):529–536. doi: 10.1097/EDE.0000000000000579

Table 2.

Comparison of the estimated causal odds ratio using the trend-in-trend design and the cohort study method. The population is stratified into five subgroups for the trend-in-trend algorithm. Confounders are sampled independently for each calendar period. CPE indicates cumulative probability of exposure, SD standard deviation.

Number of Unmeasured Confounders C-statistic of the CPE Model Trend-in-Trend Odds Ratio Cohort Study Odds Ratio
Mean (% bias) SD* Mean (% bias) SD*

2.5 0 0.62 2.46 (−1.6) 0.0198 2.50 (0.0) 0.0101
2.5 2 0.57 2.45 (−2.0) 0.0207 4.79 (91.6) 0.0104
2.5 4 0.41 2.41 (−3.6) 0.0212 4.91 (96.4) 0.0104

2.0 0 0.62 2.03 (−1.5) 0.0184 2.01 (0.5) 0.0091
2.0 2 0.57 1.94 (−3.0) 0.0191 4.28 (114) 0.0089
2.0 4 0.41 1.93 (−3.5) 0.0177 4.32 (116) 0.0090

1.5 0 0.62 1.53 (2.0) 0.0124 1.51 (0.7) 0.0092
1.5 2 0.57 1.53 (2.0) 0.0132 3.24 (116) 0.0088
1.5 4 0.41 1.46 (−2.7) 0.0129 3.38 (125) 0.0094

1.0 0 0.62 1.02 (2.0) 0.0098 0.99 (−1.0) 0.0087
1.0 2 0.57 1.03 (3.0) 0.0111 2.11 (111) 0.0083
1.0 4 0.41 0.97 (−3.0) 0.0112 2.27 (127) 0.0084