Category: statistics

F-Distribution PDF Calculator F‑Distribution PDF Calculator Calculate the PDF for an F‑distribution with degrees of freedom \( d_1 \) and \( d_2 \): $$ f(x;…

Binomial Confidence Interval Calculator Calculate the confidence interval for a binomial proportion using the Wilson score method: $$ \text{CI}=\frac{\hat{p}+\frac{z^2}{2n}\pm z\sqrt{\frac{\hat{p}(1-\hat{p})}{n}+\frac{z^2}{4n^2}}}{1+\frac{z^2}{n}}, $$ where \( \hat{p}=\frac{k}{n} \).…

Enter the degrees of freedom (df) and significance level (alpha) to find the critical chi-square value. This is the chi-square quantile where P(X ≤ χ²)…

F-Distribution Variance Calculator F‑Distribution Variance Calculator Calculate the variance of an F‑distribution with numerator degrees of freedom \(d_1\) and denominator degrees of freedom \(d_2\): $$…

This calculator computes the t-value from a given correlation coefficient (r) and sample size (n). Use this tool to assess the statistical significance of the…

Poisson Confidence Interval Calculator Given an observed count \( k \), the \( (1-\alpha) \times 100\% \) confidence interval for the Poisson mean \( \lambda…

Enter a chi-square value (x) and the degrees of freedom (df) to find the cumulative probability. This calculator provides an approximate CDF of the Chi-Square…

Lower Incomplete Gamma Function Calculator Lower Incomplete Gamma Function Calculator Compute the lower incomplete gamma function: $$ \gamma(s,x)=\int_0^x t^{s-1}e^{-t}\,dt = P(s,x)\,\Gamma(s). $$ * Enter the…

Enter the chi-square statistic (x) and degrees of freedom (df) to find the p-value (upper-tail probability). This tool uses approximations. For critical analyses, please use…

Indirect Mediation Effect Variance Calculator Indirect Mediation Effect Variance Calculator Enter the coefficients \(a\) and \(b\) along with their standard errors \(s_a\) and \(s_b\) to…