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One way to assess how well the estimation goes is by comparing the mean of the samples and the true posterior mean.
The multiple comparison method was applied to determine statistical differences between the mean of the samples using Fisher's lower significant difference (LSD) method.
The averaged value of the GSI for each sample is presented in Tables 1 and 2. The multiple comparison method was applied to determine statistical differences between the mean of the samples.
First, the initial state is obtained as the mean of the samples in k - 1, s k 0 = ∑ r s k - 1 ( r ) / N. New samples for the chain are generated from a proposal distribution Q.
The statistical analysis indicate that the mean of the samples may or may not be different from each other, depending upon several factors such as the age of the effluent waste that was disposed, the nature of the effluent waste, the scenario of waste disposal, and the amount of waste disposed.
According to Hoeffding bounds, n independent observations of a real-valued random variable r with range R, with confidence 1 - δ, the true mean of r is at least r ¯ - ε, where r ¯ is the observed mean of the samples and ε = R 2 ln 1 δ 2 n (1).
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The blue line in each box plot indicates mean of the sample population.
Here stochastic persistence is defined as the mean of the sample paths of the solution in time.
The mean of the sample is 3.22, its median is 3.0, and a negative skewness value (-0.249).
Mean used the mean of the sample followed for missing data.
This strategy does not change the mean of the sample and prevents reduction of statistical power.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com