Enter the sample standard deviation and sample size to compute the standard error of the mean SE = s / sqrt(n), used in confidence intervals and significance tests.
样本均值分布的标准差。
| Item | Formula / Note | Source / Standard |
|---|---|---|
| Standard error of the mean | SE = s / sqrt(n) | NIST/SEMATECH e-Handbook of Statistical Methods §1.3.5.2 |
| Central limit theorem basis | For large n the sample mean is approximately N(mu, sigma^2/n) | de Moivre-Laplace CLT; NIST/SEMATECH e-Handbook §1.3.5.2 |
| Finite population correction | SE = (s / sqrt(n)) · sqrt((N - n) / (N - 1)) | Cochran WG, Sampling Techniques (3rd ed., 1977) |
| Difference from standard deviation | SD describes spread of individuals; SE describes precision of the mean and shrinks as n grows | NIST/SEMATECH e-Handbook of Statistical Methods §1.3.5.2 |