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Only the 50 g sample size appeared different from other sample sizes in minimum detectable contrast at a power value of 0.8.
Our and other sample sizes make reliable statistical analysis unreliable and larger sample sizes collected in a prospective fashion based on a standardised protocol will be required to make more reliable conclusions in this regard.
The results with other sample sizes and with analysis restricted to the five partitions induced by the tree in Figure 1 are shown in Figure S1, Figure S2, Figure S3, Figure S4, Figure S5, and Figure S6.
For other sample sizes (100, 200, and 500 patients) a stratified analysis using fixed effects had type I error rates that were too large (range across three different randomisation methods 7.4-8.5 7.4-8.5.7%, and 5.5-5.8% for 100, 200, and 500 patients respectively).
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For the wage analysis, 79 MSAs/PMSAs meet this criterion and other sample size restrictions.
Values for sample sizes were randomly drawn from ~ N 5000, 1000) for 20 groups; every other sample size from the 20-group pool was assigned to the 10-group.
Once the model with the lowest BIC was chosen for each circular area the amount of variation explained was graphed relative to each other sample size (Figure 5b).
But for any other sample size, the relative frequencies n j /n would have to be carefully approximated, allowing for a sufficient reproduction of the marginals with increasing n.
However, for the other sample size combinations, the coverage probability often deviated markedly, and in both directions, from the nominal level.
Once the model with the lowest BIC was chosen for each circular area the amount of variation explained was graphed relative to each other sample size.
The sample size requirements for the time to event endpoints were estimated by the method of Freedman [ 13], and the other sample size estimates were estimated by Sample Power Version 2 (SPSS 2000, SPSS Inc., Chicago, USA) using classic methods [ 14].
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