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The calculated Minimum Detectable Effect Size (MDES) ranges for 3-level MSCRTs reflect that, under the best case scenario of smaller Intra-Class Correlations (ICC) and larger variances explained by blocking and covariates, there was at least 80% power to detect a true population effect as small as 0.37 for hypotheses associated with the study's specific aims.
A two-sample power analysis shows the minimum detectable effect size (i.e., the estimated magnitude of difference between Bd+ vs. Bd− prey consumed) is 0.44 given our sample sizes for each predator-prey combination (power = 0.8, significance level = 0.05).
Minimum detectable effect size with a statistical power of 80% was calculated for each SNP in all studied samples and linkage disequilibrium was assessed between genetic variants located in the same locus (Table S2).
The corresponding minimum detectable effect size in men is OR > 2.9.
As an additional check we will do ex post power calculations for minimum detectable effect sizes for key outcomes.
This is a very conservative estimate of the minimum detectable effect size (MDEF) given the proposed sample size.
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The minimum detectable effects, at 80% power, ranged from OR (odds ratio) 1.44 for a SNP with a MAF of 5% to OR 1.08 for a SNP with a MAF 50% in the case-noncase analyses and from regression coefficient 88 g/year to β 40 g/year in random subcohort analyses.
The minimum detectable force and detectable strain for NRR configuration 1 is derived as small as 0.0757 μN and 0.0023%.
The minimum detectable force is found to be 9 nN for 0.1 nm wavelength resolution.
Responsiveness was assessed by distribution methods (minimum detectable change [MDC], effect size [ES], standardized response mean [SRM]) and anchor-based methods (ROC curves).
Using these assumptions we conducted Monte Carlo (using SAS IML and MPLUS) simulations to determine the minimum detectable within-person effect assuming an initial sample of 300 and attrition rate of 20%% at burst 2, and 10%% at each burst thereafter.
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