Weibull Distribution Inverse CDF Calculator Weibull Distribution Inverse CDF Calculator Calculate the quantile for a Weibull distribution using: $$ Q(p;k,\lambda)=\lambda\left[-\ln(1-p)\right]^{\frac{1}{k}},\quad 0

ANOVA F-Test Calculator ANOVA F-Test Calculator Calculate the ANOVA F statistic and one-tailed p-value: $$ F = \frac{SSB/dfB}{SSW/dfW}. $$ * Enter the between-group sum of squares (SSB) with its degrees of freedom (dfB) and the within-group sum of squares (SSW) with its degrees of freedom (dfW). Step 1: Enter ANOVA Parameters Between-group Sum of Squares […]

ANOVA F-Score Calculator Calculate the ANOVA F statistic: $$ F = \frac{SSB/dfB}{SSW/dfW}. $$ * Enter the Between-group Sum of Squares (SSB) and its degrees of freedom (dfB), as well as the Within-group Sum of Squares (SSW) and its degrees of freedom (dfW). Step 1: Enter ANOVA Parameters Between-group Sum of Squares (SSB): e.g., 30 Degrees […]

T-Test Calculator T-Test Calculator Calculate the t statistic and two-tailed p-value for a hypothesis test using: $$ t = \frac{\bar{x}-\mu_0}{s/\sqrt{n}}. $$ * Enter the sample mean (\( \bar{x} \)), hypothesized mean (\( \mu_0 \)), sample standard deviation (\( s > 0 \)), and sample size (\( n \ge 2 \)). Degrees of freedom: \( n-1 […]

T-Score Calculator T-Score Calculator Calculate the t-score and two-tailed p-value for a hypothesis test using: $$ t = \frac{\bar{x}-\mu_0}{s/\sqrt{n}}. $$ * Enter the sample mean \( \bar{x} \), hypothesized mean \( \mu_0 \), sample standard deviation \( s \) (with \( s>0 \)), and sample size \( n \). Step 1: Enter Parameters Sample Mean, […]

Poisson Distribution Variance Calculator Poisson Distribution Variance Calculator For a Poisson distribution with parameter \( \lambda \), the variance is given by: $$ \sigma^2 = \lambda. $$ * Enter a value for \( \lambda \) (λ > 0). Step 1: Enter Parameter \( \lambda \): e.g., 5 (λ must be > 0) Calculate Variance Calculated […]

Poisson Distribution Sample Generator Poisson Distribution Sample Generator Generate random samples from a Poisson distribution with rate parameter \(\lambda > 0\). Samples are generated using the inverse transform method (Knuth’s algorithm). * Enter the rate parameter \(\lambda\) and the desired number of samples. Step 1: Enter Parameters Rate Parameter, \(\lambda\): e.g., 3 Number of Samples: […]

Poisson Distribution Mean Calculator Poisson Distribution Mean Calculator For a Poisson distribution with rate parameter \(\lambda > 0\), the mean is given by: $$ \mu = \lambda. $$ * Enter the rate parameter \(\lambda\). Step 1: Enter Parameter Rate Parameter, \(\lambda\): e.g., 2 Calculate Mean Calculated Mean Mean of the Poisson Distribution: Recalculate In a […]

Poisson Distribution CDF Calculator Poisson Distribution CDF Calculator For a Poisson distribution with rate parameter \(\lambda > 0\), the cumulative distribution function is: $$ F(x;\lambda)= \sum_{i=0}^{x}\frac{\lambda^i\,e^{-\lambda}}{i!},\quad x=0,1,2,\dots $$ * Enter a nonnegative integer \(x\) and a rate \(\lambda\). Step 1: Enter Parameters \(x\) (nonnegative integer): e.g., 3 Rate Parameter, \(\lambda\): e.g., 2 Calculate CDF Calculated […]

Poisson Distribution PDF Calculator Poisson Distribution PDF Calculator For a Poisson distribution with rate parameter \(\lambda > 0\), the probability mass function is given by: $$ P(X=x)= \frac{\lambda^x\,e^{-\lambda}}{x!},\quad x=0,1,2,\dots $$ * Enter a nonnegative integer \(x\) and a rate \(\lambda\). Step 1: Enter Parameters \(x\) (nonnegative integer): e.g., 3 Rate Parameter, \(\lambda\): e.g., 2 Calculate […]