Pooled Standard Deviation Calculator
Calculate the pooled standard deviation for two independent samples under the equal-variance model.
Calculate the pooled standard deviation for two independent samples under the equal-variance model.
Move between weighted summaries, t statistics, chi-square goodness-of-fit and one-way ANOVA calculations.
Calculate a weighted arithmetic mean from values and their non-negative weights.
Open calculatorCalculate the pooled standard deviation for two independent samples under the equal-variance model.
Calculate a one-sample t statistic and its degrees of freedom from summary statistics.
Open calculatorCalculate Welch’s two-sample t statistic and approximate degrees of freedom without assuming equal variances.
Open calculatorCalculate a paired-sample t statistic from the mean and standard deviation of paired differences.
Open calculatorCalculate the chi-square goodness-of-fit statistic from observed and expected category counts.
Open calculatorCalculate a one-way ANOVA F statistic from summary statistics for three independent groups.
Open calculatorCalculate the pooled standard deviation for two independent samples under the equal-variance model.
Enter compatible statistical values. The calculator validates the inputs and applies sₚ = √(((n₁−1)s₁² + (n₂−1)s₂²) / (n₁+n₂−2)).
Variables: n₁ = Sample size 1; s₁ = Standard deviation 1; n₂ = Sample size 2; s₂ = Standard deviation 2.
Example: n₁=20, s₁=4, n₂=30 and s₂=5 give a pooled standard deviation of approximately 4.6301.
It is an educational tool for descriptive and inferential statistical calculations from supplied values or summary statistics.
No. Where a test statistic is calculated, the tool does not automatically replace study design, assumption checks, p-value interpretation, confidence intervals or subject-matter judgment.
These sources are used to verify terminology, formulas, and information related to this calculator.