Analysis of variance | Statistical deviation and dispersion

Pooled variance

In statistics, pooled variance (also known as combined variance, composite variance, or overall variance, and written ) is a method for estimating variance of several different populations when the mean of each population may be different, but one may assume that the variance of each population is the same. The numerical estimate resulting from the use of this method is also called the pooled variance. Under the assumption of equal population variances, the pooled sample variance provides a higher precision estimate of variance than the individual sample variances. This higher precision can lead to increased statistical power when used in statistical tests that compare the populations, such as the t-test. The square root of a pooled variance estimator is known as a pooled standard deviation (also known as combined standard deviation, composite standard deviation, or overall standard deviation). (Wikipedia).

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The pooled variance is “a weighted mean of the two samples’ variances.” This video explains the concept simply. You have two samples. Each sample has its own variance. When you combine the two samples in the t tests, you need to account for the relative amounts of variance. I will use the

From playlist WK11 Independent Sample t Tests and Paired t Tests - Online Statistics for the Flipped Classroom

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More resources available at www.misterwootube.com

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How to calculate a pooled standard error for a difference in sample means (used in two sample t tests). Step by step example of working the formula. Check out my Statistics Handbook: https://www.statisticshowto.com/the-practically-cheating-statistics-handbook/ Thanks for your support!

From playlist t-test

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This video is brought to you by the Quantitative Analysis Institute at Wellesley College. The material is best viewed as part of the online resources that organize the content and include questions for checking understanding: https://www.wellesley.edu/qai/onlineresources

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This video is brought to you by the Quantitative Analysis Institute at Wellesley College. The material is best viewed as part of the online resources that organize the content and include questions for checking understanding: https://www.wellesley.edu/qai/onlineresources

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This video is brought to you by the Quantitative Analysis Institute (QAI) at Wellesley College as part of its Blended Learning Initiative. More information on the QAI's online resources can be found here: www.wellesley.edu/qai/onlineresources. To see more videos on applied statistics, chec

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More resources available at www.misterwootube.com

From playlist Random Variables

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Efficiency (statistics) | Estimation theory | Variance | Bessel's correction | Degrees of freedom (statistics) | Precision (statistics) | Standard deviation | Mean | Statistics | Effect size | Chi-squared distribution | Random error | Statistical hypothesis testing | Sample variance | Arithmetic mean | Covariance