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Table 4 Mean coverage of the 95% confidence interval by the true value over the three sample sizes for outcome Birthweight

From: Binomial outcomes in dataset with some clusters of size two: can the dependence of twins be accounted for? A simulation study comparing the reliability of statistical methods based on a dataset of preterm infants

 

Death 4 covar.

Death 2 covar.

O2 dep. 4 covar

O2 dep 2 covar

Perc.

Random inter. var

Random inter. var

Random inter. var

Random inter. var

Twins

0.5

1

2

0.5

1

2

0.5

1

2

0.5

1

2

Logistic regression

 

2%

0.99

1.00

1.00

0.93

0.92

0.91

1.00

1.00

1.00

0.99

0.99

0.99

5%

0.99

1.00

1.00

0.95

0.94

0.94

1.00

1.00

1.00

0.99

0.99

0.99

10%

0.99

1.00

1.00

0.98

0.98

0.98

1.00

1.00

1.00

1.00

1.00

1.00

20%

0.99

1.00

1.00

0.99

0.98

0.98

1.00

1.00

1.00

1.00

1.00

1.00

Mixed logistic regression, PQL

 

2%

0.67

0.66

0.68

0.79

0.79

0.82

0.69

0.71

0.76

0.95

0.96

0.97

5%

0.59

0.58

0.58

0.91

0.91

0.92

0.76

0.79

0.85

1.00

1.00

0.99

10%

0.57

0.56

0.58

0.96

0.96

0.97

0.87

0.89

0.93

1.00

1.00

1.00

20%

0.56

0.55

0.60

0.99

0.99

0.99

0.95

0.96

0.97

1.00

1.00

1.00

Mixed logistic regression, Gauss-Hermite

 

2%

0.99

1.00

1.00

0.94

0.96

0.97

1.00

1.00

1.00

0.99

1.00

1.00

5%

0.98

0.99

0.99

0.94

0.96

0.98

1.00

1.00

1.00

0.99

1.00

1.00

10%

0.98

0.98

0.99

0.94

0.97

0.99

1.00

1.00

1.00

0.99

1.00

1.00

20%

0.97

0.97

0.98

0.95

0.98

0.99

1.00

1.00

1.00

0.99

1.00

1.00

GEE

 

2%

0.98

0.98

0.98

0.50

0.56

0.60

0.99

0.99

0.99

0.59

0.67

0.77

5%

0.98

0.98

0.98

0.54

0.63

0.68

1.00

1.00

1.00

0.66

0.76

0.86

10%

0.98

0.98

0.98

0.58

0.71

0.84

1.00

1.00

1.00

0.71

0.83

0.93

20%

0.98

0.98

0.98

0.65

0.80

0.92

1.00

1.00

1.00

0.78

0.90

0.97