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Table 2 The estimates of ORSCL, ORVF, 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