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which is an unbiased estimator of the variance of the mean in terms of the observed sample variance and known quantities. If the autocorrelations are identically zero, this expression reduces to the well-known result for the variance of the mean for independent data. The effect of the expectation operator in these expressions is that the ...
In that case, the result of the original formula would be called the sample standard deviation and denoted by instead of . Dividing by rather than by gives an unbiased estimate of the variance of the larger parent population. This is known as Bessel's correction.
It is a commonly used format produced by automatic test equipment (ATE) platforms from companies such as Cohu, Roos Instruments, Teradyne, Advantest, SPEA S.p.A, and others. STDF is a binary format, but can be converted either to an ASCII format known as ATDF or to a tab delimited text file. Decoding the STDF variable length binary field data ...
Several non parametric tests have been proposed: these include the Barton–David–Ansari–Freund–Siegel–Tukey test, the Capon test, Mood test, the Klotz test and the Sukhatme test. The Sukhatme test applies to two variances and requires that both medians be known and equal to zero. The Mood, Klotz, Capon and Barton–David–Ansari ...
("This is a specific test. Because the result is positive, we can confidently say that the patient has the condition.") See sensitivity and specificity and type I and type II errors for exhaustive definitions. Significance level of a test (α) p-value; Statistical significance test: A predecessor to the statistical hypothesis test (see the ...
Given an r-sample statistic, one can create an n-sample statistic by something similar to bootstrapping (taking the average of the statistic over all subsamples of size r). This procedure is known to have certain good properties and the result is a U-statistic. The sample mean and sample variance are of this form, for r = 1 and r = 2.
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