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The sampling process is adaptive, using the sample variance as a criterion for whether to sample further.
Our intention is to develop tools useful in the setting of nonlinear statistics, using the sample variance as a test statistic.
Typically the variance of the average treatment effect estimator is estimated using the sample variance of the within-pair differences.
If desired, (lambda ) and (sigma ) can be updated at each step using the sample variance of the (u_{t}^{prime }s).
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The proposed method uses the row vector of the sampling covariance matrix as the sample, and then uses the sample variance to construct the detection statistics.
Therefore we have just used the sample variance without taking into account the different number of counts across lanes as a visual demonstration.
Repeat the above procedures one then generates a random sample of Θ from the posterior distribution of Θ given Y = ; then one uses the sample mean as the estimates of and use the sample variances and covarainces as estimates of the variances and covariances of these estimates.
When caliper matching was used, the sampling variance of the estimated treatment effect was minimized in 46 of the 96 scenarios when 2 1 matching was employed; in 46 of the 96 scenarios when 3 1 matching was employed; in 3 of 96 scenarios when 4 1 matching was employed; and in 1 of the 96 scenarios when 5 1 matching was employed.
When nearest-neighbor matching was used, the sampling variance was minimized in 7 of the 96 scenarios when 3 1 matching was employed; in 14 of the 96 scenarios when 4 1 matching was employed; and in 75 of the 96 scenarios when 5 1 matching was employed.
The above estimates of the mean of the mutant fitness by using the sample means were supplemented by evaluating their sample variances using the formulas for variances of the products and ratios of independent random variables [57].
If we assume that X ~ N μX, σX) and Y ~ N μY, σY) then a parametric estimate of Pr Y > X) using the sample estimates of the mean and variance is given by [ 15]: where Φ is the Normal cumulative distribution function.
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