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Table 2 Sequential testing on population standard deviation σ

From: Group-sequential analysis may allow for early trial termination: illustration by an intra-observer repeatability study

Number of interim analyses

Observed standard deviation, P value (sample size), respective significance level, and upper confidence limit at analysis time point

Interim analysis 1

Interim analysis 2

Interim analysis 3

Final analysis

0

SD = 1.060

P = 0.0022 (N = 45)

α 1  = 0.05

95% uCL 1.288

1

SD = 1.415

P = 0.3900 (N = 23)

α0.5 = 0.025

97.5% uCL 2.002

SD = 1.060

P = 0.0022 (N = 45)

α 1  = 0.05

95% uCL 1.288

2

SD = 0.909

P = 0.0162 (N = 15)

α 0.33  = 0.0167

98.33% uCL 1.495

SD = 1.255

P = 0.1162 (N = 30)

α0.67 = 0.0333

96.67% uCL 1.653

SD = 1.060

P = 0.0022 (N = 45)

α 1  = 0.05

95% uCL 1.288

3

SD = 1.044

P = 0.0984 (N = 11)

α0.25 = 0.0125

98.75% uCL 2.006

SD = 1.415

P = 0.3900 (N = 23)

α0.5 = 0.025

97.5% uCL 2.002

SD = 1.185

P = 0.0452 (N = 34)

α0.75 = 0.0375

96.25% uCL 1.519

SD = 1.060

P = 0.0022 (N = 45)

α 1  = 0.05

95% uCL 1.288

  1. SD standard deviation, uCL upper confidence limit, italics rejection of null hypothesis