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Table 2 The estimates of ORSCLORVF, ORMH, and ORG from simulated data with a binary exposure only (study period = M + 1 days). Results are shown graphically in Fig. 3a

From: A novel weighting method to remove bias from within-subject exposure dependency in case-crossover studies

M ORSCL (95%CI) ORVF (95%CI) ORMH (95%CI) ORG (2.5–97.5pct)
1 4.00 (2.45–6.53) 4.00 (2.45–6.53) 4.00 (2.45–6.53) 4.00 (2.57–7.33)
2 4.00 (2.74–5.85) 4.00 (2.74–5.85) 4.00 (2.74–5.85) 4.00 (2.80–6.00)
3 3.55 (2.47–5.10) 4.00 (2.64–6.06) 4.00 (2.73–5.86) 4.00 (2.80–5.72)
4 3.84 (2.72–5.41) 4.00 (2.80–5.71) 4.00 (2.81–5.69) 4.00 (2.82–5.64)
5 4.28 (3.04–6.03) 4.00 (2.86–5.59) 4.00 (2.85–5.61) 4.00 (2.84–5.73)
6 4.60 (3.27–6.48) 4.00 (2.80–5.71) 4.00 (2.89–5.53) 4.00 (2.84–5.70)
7 4.38 (3.10–6.20) 4.00 (2.87–5.57) 4.00 (2.85–5.66)
8 4.73 (3.34–6.70) 4.00 (2.34–6.84) 4.00 (2.89–5.54) 4.00 (2.88–5.63)
9 5.01 (3.53–7.10) 4.00 (2.58–6.20) 4.00 (2.91–5.50) 4.00 (2.83–5.65)
10 4.86 (3.41–6.94) 4.00 (2.89–5.54) 4.00 (2.84–5.70)
11 5.09 (3.57–7.26) 4.00 (2.00–8.00) 4.00 (2.91–5.51) 4.00 (2.84–5.64
12 5.33 (3.73–7.62) 4.00 (2.49–6.42) 4.00 (2.92–5.48) 4.00 (2.85–5.60)
13 5.54 (3.88–7.92) 4.00 (2.64–6.06) 4.00 (2.93–5.46) 4.00 (2.85–5.67)
14 5.39 (3.75–7.73) 4.00 (2.92–5.49) 4.00 (2.85–5.66)
15 5.60 (3.90–8.05) 4.00 (2.34–6.84) 4.00 (2.92–5.47) 4.00 (2.87–5.61)
16 5.79 (4.02–8.33) 4.00 (2.58–6.20) 4.00 (2.93–5.46) 4.00 (2.84–5.60)
17 5.66 (3.92–8.18) 4.00 (2.92–5.48) 4.00 (2.84–5.65)
18 5.83 (4.03–8.43) 4.00 (2.00–8.00) 4.00 (2.93–5.46) 4.00 (2.84–5.64)
19 6.00 (4.14–8.69) 4.00 (2.49–6.42) 4.00 (2.93–5.45) 4.00 (2.84–5.61)
20 6.16 (4.25–8.92) 4.00 (2.64–6.06) 4.00 (2.94–5.44) 4.00 (2.85–5.65)
21 6.02 (4.14–8.75) 4.00 (2.93–5.46) 4.00 (2.85–5.66)
  1. M is the number of control periods and study period = (M + 1) days. 1 period = 1 day for all values of M
  2. ORSCL: odds ratio by the standard conditional logistic regression; ORVF: odds ratio by the Vines and Farrington’s method; ORMH: odds ratio by the Mantel-Haenszel method; ORG: odds ratio by the Greenland’s method; 95%CI: 95% confidence interval; 2.5–97.5pct: 2.5 to 97.5 percentiles