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We were unable to perform a formal meta-analysis because several critical components (e.g., variance estimates, sample size, repeated sampling of each reef, etc).
Few studies have examined the accuracy of estimates, sample size or power analysis in binary multilevel regression [ 5, 15].
The assumptions included 50% prevalence of Helicobacter pylori colonization and a 95% CI for the estimates: Sample size n = [DEFF*Np 1-p)]/[DEFF*Np 1-p*(N-1)+p*(1-p)].
Utilising these estimates, sample size calculations reveal that in a conventional RCT, n = 33 patients per group would be required to detect a mean difference of 8 on the FACIT-F scale between treatment arms with 5% significance (2-sided) and 80% power.
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The binomial-proportion estimates, sample sizes, observed success rates, null-hypothesis confidence limits, and calculated P values for each test scenario are given in the main text.
No statistical measures were used to estimate sample size since effect size was unknown.
Methods to estimate sample size depend on statistical theory.
Desmond, J. E. & Glover, G. H. Estimating sample size in functional MRI (fMRI) neuroimaging studies: statistical power analyses.
Assuming a two-group, two-tailed t-test, type 1 error rate of 0.05 and 80% power, we estimated sample size of 40 to detect an effect size of 0.64.
Aligning the method used to estimate sample size with the planned analytic method ensures the sample size needed to achieve the planned power.
Web users on internet can use the system to make blinded variance estimate, sample size adjustment and randomization test for internal pilot study.
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