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Table 2 Minimum and maximum values of \(\text {V}^{\text {exp}}_{s}\) and values for the equal spacing model \(\tilde{\text {V}}^{\text {exp}}_{s}\), for \(\gamma =0.5\) for early (\(t_{1}\)), mid (\(t_{2}\)) and late (\(t_{3}\)) interim analyses, where \(\tau \text {0}_{1}=0.15\), \(\tau \text {0}_{2}=0.30\) and \(\tau \text {0}_{3}=0.45\) respectively, for s from two to six for the fixed, increasing and decreasing rate recruitment models. Also shown are values of \(n_{s1}\) for each setting

From: Group sequential designs for pragmatic clinical trials with early outcomes: methods and guidance for planning and implementation

 

Early \((t_{1})\)

Mid \((t_{2})\)

Late \((t_{3})\)

s

\(n_{s1}\)

\(\tilde{\text {V}}^{\text {exp}}_{s}\)

\(\text {V}^{\text {exp}}_{s}\)

\(n_{s1}\)

\(\tilde{\text {V}}^{\text {exp}}_{s}\)

\(\text {V}^{\text {exp}}_{s}\)

\(n_{s1}\)

\(\tilde{\text {V}}^{\text {exp}}_{s}\)

\(\text {V}^{\text {exp}}_{s}\)

   

min - max

  

min - max

  

min - max

[a] Fixed

 2

0.55

-

0.89-0.89

0.71

-

0.93-0.93

0.78

-

0.95-0.95

 3

0.55

0.81

0.80-0.89

0.71

0.88

0.88-0.93

0.78

0.92

0.91-0.95

 4

0.55

0.78

0.78-0.89

0.71

0.87

0.86-0.93

0.78

0.90

0.90-0.95

 5

0.55

0.77

0.76-0.89

0.71

0.86

0.85-0.93

0.78

0.90

0.90-0.95

 6

0.55

0.76

0.75-0.89

0.71

0.85

0.85-0.93

0.78

0.89

0.89-0.95

[b] Increasing

 2

0.59

-

0.90-0.90

0.68

-

0.92-0.92

0.72

-

0.93-0.93

 3

0.59

0.83

0.83-0.90

0.68

0.87

0.87-0.92

0.72

0.89

0.89-0.93

 4

0.59

0.81

0.80-0.90

0.68

0.85

0.85-0.92

0.72

0.88

0.87-0.93

 5

0.59

0.80

0.79-0.90

0.68

0.84

0.84-0.92

0.72

0.87

0.87-0.93

 6

0.59

0.79

0.79-0.90

0.68

0.84

0.84-0.92

0.72

0.86

0.86-0.93

[c] Decreasing

 2

0.42

-

0.86-0.86

0.62

-

0.91-0.91

0.74

-

0.93-0.93

 3

0.42

0.75

0.73-0.86

0.62

0.84

0.84-0.91

0.74

0.89

0.89-0.93

 4

0.42

0.71

0.69-0.86

0.62

0.82

0.82-0.91

0.74

0.88

0.88-0.93

 5

0.42

0.69

0.68-0.86

0.62

0.81

0.80-0.91

0.74

0.87

0.87-0.93

 6

0.42

0.67

0.67-0.86

0.62

0.80

0.80-0.91

0.74

0.87

0.86-0.93