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Table 7 Proportion of times the posterior credible interval widths attain the target widths when the target assurance is 0.9

From: Sample size determination for point-of-care COVID-19 diagnostic tests: a Bayesian approach

 

Same

1% smaller

5% smaller

10% smaller

\(\rho _T\)

0.05

0.1

0.2

0.3

0.05

0.1

0.2

0.3

0.05

0.1

0.2

0.3

0.05

0.1

0.2

0.3

\(n_c\)

Sensitivity

10

1.00

0.95

0.92

0.91

1.00

0.94

0.90

0.89

0.99

0.91

0.84

0.82

0.98

0.86

0.74

0.71

30

0.99

0.96

0.93

0.92

0.99

0.95

0.92

0.90

0.98

0.91

0.86

0.84

0.97

0.85

0.77

0.74

50

0.99

0.97

0.96

0.96

0.98

0.96

0.95

0.96

0.98

0.95

0.94

0.94

0.97

0.93

0.92

0.92

\(n_c\)

Specificity

10

1.00

1.00

1.00

1.00

1.00

1.00

1.00

1.00

1.00

1.00

1.00

1.00

0.94

0.94

0.93

0.93

30

0.96

0.96

0.96

0.96

0.94

0.94

0.94

0.94

0.75

0.76

0.76

0.75

0.38

0.38

0.38

0.38

50

0.96

0.96

0.96

0.96

0.94

0.94

0.93

0.93

0.75

0.75

0.75

0.74

0.37

0.37

0.37

0.37

\(n_c\)

Both

10

1.00

0.95

0.97

1.00

1.00

0.94

0.96

1.00

0.99

0.90

0.92

1.00

0.98

0.85

0.84

0.94

30

0.99

0.96

0.98

0.99

0.99

0.95

0.97

0.97

0.98

0.92

0.91

0.82

0.96

0.85

0.70

0.41

50

0.98

0.97

0.96

0.96

0.96

0.95

0.95

0.94

0.88

0.84

0.77

0.74

0.70

0.55

0.37

0.36