Inter and Total Variability [Power / Sample Size]

posted by Helmut Homepage – Vienna, Austria, 2011-09-11 13:55 (5046 d 20:23 ago) – Posting: # 7346
Views: 13,773

Dear Benjamin,

answering only your first question (now) …

❝ […] But what about just taking intra variance to be half of the total variance (when only total variance is given)? This approach seems to be a conservative estimate.


Not always (see below).

❝ Usually intra variance is less than or equal to inter variance.


What it your drug/formulation is ‘unusual’? If you have only a parallel study you simply don’t know.

❝ It also makes sense coming from the correlation between two responses on the same subject, which is equal to 1/2 if and only if the within variance equals the between variance. Based on this one can calculate CVs. Or not? (the Lansoprazole example should also fulfill this)


OK, here are the complete data of the previous post (only the two extremes):*
Study           CVintra  CVinter  CVtotal intra/total   MSEw     MSEB     MSEt
Methylphenidate  7.00%  19.13%  20.41%    34.27%     0.004882 0.076746 0.039225
Lansoprazole    47.01%  25.14%  54.60%    86.09%     0.199667 0.322229 0.262708


If you base the sample size estimation in a X-over on \(\sigma_{intra}^2\approx\sigma_{total}^2/2\) you would end up with CVintra of 14.07% () for methyphenidate and 37.47% () for lansoprazole. In the former case you waste money – in the latter you blew the study.



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