Category: statistics

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…

Enter a chi-square value (x) and the degrees of freedom (df) to find the probability density (PDF) of the Chi-Square distribution at that point. This…

Enter the Pearson correlation coefficient (r) and sample size (n) to compute the t-statistic and two-tailed p-value, helping you assess the significance of the observed…