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The calculation of a 95% confidence interval, as described above, relies on two assumptions: that the distribution of sample means is approximately Normal and that the population SD can be approximated by the sample SD.
In practice, the statistical covariance matrix can only be computed using a limited number of signal samples, where can be approximated by the sample covariance matrix defined as (32).
The expected uncovered demand f2 is then approximated by the sample average f ¯ 2 = 1 N ∑ ν = 1 N R (y, z, ξ.
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We apply the logit function that models the probability, Pr(CSi=1), of reporting coercive sex for an individual living in a household i nested within a neighborhood j approximated by the sampling cluster.
In large samples, the mean of U/N is approximately the ratio of the mean of U to the mean of N and the variance of U/N is approximated by the large sample variance formula for a ratio.
The ingenuity of the approach is in trying to choose the function F so that f ∈ B σ 2 (unknown part) and can be approximated by the WKS sampling theorem if its values at some equally spaced points are known; see [9 12].
The temperature for the gas close to the sample was approximated by the measured temperature of the sample holder.
Over R recorded outputs from the MCMC algorithm, with parameter values denoted, the marginal likelihood f(b, s| M) is approximated by the harmonic mean of sampled likelihood values [Newton and Raftery, 1994].
The expression of a given biomarker in a given patient sample is approximated by the projection of the biomarker vector onto the direction of the patient sample vector, multiplied by the length of the patient sample vector.
In this approach the integration space is sampled according to a Markovian process and the integral is approximated by the average of the corresponding sampled states.
The mean or median of the posterior distribution can then be approximated by the mean or median of the sampled η-values, and approximate credibility regions can be determined in a similar way.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com