Conditional power assessment
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Conditional Power Assessment for Binomial Event
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Study Planning Parameters
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False Postive Rate (Alpha) =5.00%
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False Negative Rate (Beta) =20.00%
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1 sided/2 sided test =2
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% Randomized to Arm with Higher event rate =50.00%
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Higher Event Arm (ARM A) Rate =60.00%
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Lower Event Arm (ARM B) Rate =45.00%
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Sample Size in Higher Event Rate Group =171
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Sample Size in Lower Event Rate Group =171
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Expected value of Final Test Statistic under alternate hypothesis =2.802
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Interim Results
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Interim Sample in ARM A =60
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Number of Events in ARM A =37
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Interim Sample in ARM B =62
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Number of Events in ARM B =31
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Interim Estimated Test Statistic =1.307
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B-value at Interim =0.781
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Frequentist Conditional Power
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Information Fraction at Interim =0.358
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Projected Expected value of Final Test Statistic given B-value at Interim on assuming null hypothesis effect =0.781
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Conditional Power Under Null Effect =7.07%
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Projected Expected value of Final Test Statistic given B-vallue at Interim on assuming current trend continues =2.185
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Conditional Power Under Current Trend =61.06%
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Projected Expected value of Final Test Statistic given B-vallue at Interim on assuming future alternate hypothesis effects =2.581
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Conditional Power Under Alternate =78.08%
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Bayesian Predictive Power
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Weight on Prior Hypothesized Opinion =20.00%
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Predictive Power =63.21%
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Predictive Power under a weight of 100*(1-information fraction) =72.85%
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