unbiased sample variance
estimates the population variance corrected with degrees of freedom.
symbols, variables and units
x_i: observation; x̄: sample mean; n: sample size; s²: square of the observation unit.
applicable conditions and boundaries
n≥2, independently and identically distributed and unbiased when the variance is limited.
formula source code
The following is a copyable LaTeX expression.
s^2=\frac1{n-1}\sum_{i=1}^n(x_i-\bar x)^2Reference and Extended Learning
NIST/SEMATECH · e-Handbook of Statistical Methods ↗is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.
sample varianceexperimental design