>>> 1) Success in two identical trials with N patients each and a p-value threshold in each trial of 0.05.
2) Success in a single trial with N patients identical in design to the trials in option #1 except that the p-value threshold is 0.01.
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Which option would a reasonable person select?
Option #2, of course. <<<
I have to admit I wasn't thinking about this aspect of the GTOP discussion , and since the single trial has a greater chance of a Type 1 error than the combo of two trials , it makes sense that it has a reduced chance of a Type 2 error , but it's not intuitively obvious to me that N could remain the same. If the two single trials each had a power of .9 with N patients each and the combined power ( for the needed two successes ) was .9x.9=.81 , does it follow that the single trial , with the same N , would have a power > .81 ?
I could definitely use a statistics refresher course. The problem is that there's a list of refresher courses I need , and the list is growing daily.