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<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@839977fd2e3a8d0b5cdd9aa567ce53a5979ceed5/lib/node_modules/@stdlib/stats/base/svariance/docs/img/equation_population_variance.svg" alt="Equation for the population variance.">
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<br>
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<!-- </equation> -->
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where the population mean is given by
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<!-- <equation class="equation" label="eq:population_mean" align="center" raw="\mu = \frac{1}{N} \sum_{i=0}^{N-1} x_i" alt="Equation for the population mean."> -->
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@839977fd2e3a8d0b5cdd9aa567ce53a5979ceed5/lib/node_modules/@stdlib/stats/base/svariance/docs/img/equation_population_mean.svg" alt="Equation for the population mean.">
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<br>
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<!-- </equation> -->
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Often in the analysis of data, the true population [variance][variance] is not known _a priori_ and must be estimated from a sample drawn from the population distribution. If one attempts to use the formula for the population [variance][variance], the result is biased and yields a **biased sample variance**. To compute an **unbiased sample variance** for a sample of size `n`,
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<!-- <equation class="equation" label="eq:unbiased_sample_variance" align="center" raw="s^2 = \frac{1}{n-1} \sum_{i=0}^{n-1} (x_i - \bar{x})^2" alt="Equation for computing an unbiased sample variance."> -->
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@839977fd2e3a8d0b5cdd9aa567ce53a5979ceed5/lib/node_modules/@stdlib/stats/base/svariance/docs/img/equation_unbiased_sample_variance.svg" alt="Equation for computing an unbiased sample variance.">
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<!-- </equation> -->
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where the sample mean is given by
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<!-- <equation class="equation" label="eq:sample_mean" align="center" raw="\bar{x} = \frac{1}{n} \sum_{i=0}^{n-1} x_i" alt="Equation for the sample mean."> -->
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@839977fd2e3a8d0b5cdd9aa567ce53a5979ceed5/lib/node_modules/@stdlib/stats/base/svariance/docs/img/equation_sample_mean.svg" alt="Equation for the sample mean.">
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