How To Calculate Pooled Variance In Excel
Statistics Definitions >
Pooled variance (also chosen combined, composite, or overall variance) is a way to estimate common variance when you believe that dissimilar populations have the same variances.
The pooled sample variance formula is:
Where:
- n = the sample size for the offset sample,
- k = the sample size for the 2d sample,
- S2 ten = sample variance for sample one,
- Southwardii y = sample variance for sample two.
Information technology's unlikely you lot'll actually need to apply the formula though. Virtually statistical software has an option for pooled variance, like R or SPSS. Yous can as well endeavor this online calculator for Pooling the Means, and Variances.
The foursquare root of pooled variance is the pooled standard divergence.
When Tin I Use Pooled Variance?
If you believe the population variances are the aforementioned, one way to check that you might be able to use pooled variance is to calculate a ratio of sample standard deviations: 
If this ratio is close to 1, then you can probably utilize pooled variance. This is a judgment call, but in general a ratio of 0.5 to 3 is a reasonable indication the variances are shut enough (Penn State).
References
Penn State Eberly College of Science Department of Statistics. 7.iii.1.1 – Pooled Variances. Retrieved February 25, 2020 from: https://online.stat.psu.edu/stat500/lesson/7/vii.3/7.3.ane/7.three.i.ane
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Source: https://www.statisticshowto.com/pooled-variance/
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