| | |
σ = exp(-0.35)
|
σ = exp(-0.25)
|
|---|
|
Analysis method(*)
|
Relative bias (%)
|
SE log(OR)
|
Coverage 95% CI (%)
|
VIF
|
Relative bias (%)
|
SE log(OR)
|
Coverage 95% CI (%)
|
VIF
|
|---|
|
μ = log(1.5/12)
|
1:1 CC
| | | | | | | | |
|
True expo
|
0.0
|
0.027
|
95.7
|
1.00
|
0.0
|
0.027
|
95.8
|
1.00
|
|
CC WTD
|
0.9
|
0.029
|
94.2
|
1.15
|
0.5
|
0.029
|
95.1
|
1.18
|
|
WTD prob
|
22.6
|
0.040
|
0.0
|
2.24
|
18.0
|
0.038
|
0.1
|
2.05
|
|
90 days
|
-6.0
|
0.027
|
33.2
|
1.06
|
-8.1
|
0.028
|
11.2
|
1.13
|
|
30 days
|
-11.1
|
0.035
|
6.7
|
1.69
|
-13.3
|
0.038
|
2.4
|
2.02
|
|
1:10 CC
| | | | | | | | |
|
True expo
|
0.0
|
0.036
|
95.4
|
1.00
|
0.0
|
0.036
|
95.2
|
1.00
|
|
CC WTD
|
0.6
|
0.038
|
94.9
|
1.08
|
0.5
|
0.038
|
95.2
|
1.10
|
|
WTD prob
|
11.2
|
0.049
|
28.7
|
1.78
|
8.6
|
0.047
|
48.5
|
1.68
|
|
90 days
|
-6.5
|
0.037
|
52.2
|
1.04
|
-9.5
|
0.038
|
20.6
|
1.09
|
|
30 days
|
-16.8
|
0.044
|
1.1
|
1.45
|
-19.6
|
0.048
|
0.3
|
1.70
|
|
μ = log(2/12)
|
1:1 CC
| | | | | | | | |
|
True expo
|
-0.1
|
0.027
|
94.2
|
1.00
|
0.0
|
0.027
|
95.8
|
1.00
|
|
CC WTD
|
1.7
|
0.029
|
90.1
|
1.21
|
1.6
|
0.030
|
91.5
|
1.25
|
|
WTD prob
|
18.8
|
0.039
|
0.1
|
2.13
|
14.4
|
0.037
|
0.9
|
1.97
|
|
90 days
|
-8.0
|
0.029
|
13.7
|
1.16
|
-10.2
|
0.030
|
3.5
|
1.26
|
|
30 days
|
-13.4
|
0.038
|
3.4
|
2.09
|
-15.2
|
0.042
|
2.6
|
2.50
|
|
1:10 CC
| | | | | | | | |
|
True expo
|
0.0
|
0.036
|
94.6
|
1.00
|
0.1
|
0.036
|
95.3
|
1.00
|
|
CC WTD
|
1.4
|
0.038
|
92.9
|
1.11
|
1.7
|
0.039
|
92.7
|
1.14
|
|
WTD prob
|
8.5
|
0.048
|
49.2
|
1.71
|
5.9
|
0.046
|
71.5
|
1.63
|
|
90 days
|
-9.9
|
0.038
|
18.4
|
1.10
|
-12.8
|
0.039
|
4.7
|
1.17
|
|
30 days
|
-20.0
|
0.048
|
0.4
|
1.74
|
-22.1
|
0.052
|
0.2
|
2.05
|
- The datasets had a sample size of 39,600, and on average 80% of patients continue treatment at the index date, 25% of patients have a prescription redemption in the year before the index date and the true OR is 3. For each setting 2,500 datasets were generated and analyzed. The Weibull Backward Recurrence Density used to generate data corresponded to a Weibull distribution with the same mean and variance as a Log-Normal distribution with \(\mu\) and \(\sigma\) as its parameters, see text for details
- (*) Analysis methods:
- 1:1 CC indicates 1 control per case, 1:10 CC indicates 10 controls per case
- True expo – logistic regression with the actual exposure status as covariate (the reference analysis)
- CC WTD – estimation based on joint likelihood for case–control status and the reverse WTD, Log-Normal Backward Recurrence Density
- WTD prob – a reverse WTD with Log-Normal Backward Recurrence Density is estimated to predict the probability of an individual being exposed and this exposure probability is used as covariate in logistic regression
- 90 days – individuals are considered exposed if they have a redemption < 90 days before index date
- 30 days – individuals are considered exposed if they have a redemption < 30 days before index date, logistic regression
