Skip to main content

Table 1 Simulation results, data generated with a log-normal backward recurrence density

From: A new likelihood model for analyses of pharmacoepidemiologic case–control studies which avoids decision rules for determining latent exposure status

  

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

95.6

1.00

0.0

0.027

95.3

1.00

CC WTD

0.4

0.029

95.1

1.15

0.8

0.029

93.5

1.19

WTD prob

17.0

0.037

0.0

1.91

17.1

0.038

0.0

2.00

90 days

-6.7

0.028

24.3

1.08

-7.8

0.028

14.2

1.12

30 days

-12.1

0.037

5.4

1.90

-12.9

0.038

3.8

2.01

1:10 CC

        

True expo

0.0

0.036

95.1

1.00

0.0

0.036

94.5

1.00

CC WTD

0.3

0.038

95.0

1.09

0.7

0.038

94.2

1.11

WTD prob

8.7

0.046

46.4

1.61

8.3

0.047

51.4

1.66

90 days

-7.5

0.038

40.0

1.06

-9.1

0.038

25.6

1.08

30 days

-18.2

0.046

1.0

1.60

-19.2

0.047

0.7

1.69

μ = log(2/12)

1:1 CC

        

True expo

0.0

0.027

94.4

1.00

0.0

0.027

94.4

1.00

CC WTD

1.0

0.029

93.6

1.19

1.7

0.030

90.2

1.24

WTD prob

14.4

0.036

0.8

1.84

14.1

0.037

1.3

1.91

90 days

-8.1

0.029

14.1

1.18

-9.2

0.030

7.6

1.23

30 days

-13.9

0.041

3.8

2.35

-14.5

0.042

3.9

2.48

1:10 CC

        

True expo

0.0

0.036

94.8

1.00

0.1

0.036

94.7

1.00

CC WTD

0.8

0.038

94.6

1.11

1.4

0.039

93.6

1.14

WTD prob

6.7

0.045

62.6

1.56

6.1

0.046

68.9

1.60

90 days

-10.2

0.038

17.2

1.12

-11.7

0.039

8.2

1.15

30 days

-21.1

0.051

0.5

1.94

-21.5

0.052

0.3

2.03

  1. 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. \(\mu\) and \(\sigma\) are parameters of the assumed Log-Normal Backward Recurrence Density used for generating data, see text for details
  2. (*) Analysis methods:
  3. 1:1 CC indicates 1 control per case, 1:10 CC indicates 10 controls per case
  4. True expo – logistic regression with the actual exposure status as covariate (the reference analysis)
  5. CC WTD – estimation based on joint likelihood for case–control status and the reverse WTD, Log-Normal Backward Recurrence Density
  6. 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
  7. 90 days – individuals are considered exposed if they have a redemption < 90 days before index date
  8. 30 days – individuals are considered exposed if they have a redemption < 30 days before index date, logistic regression