Use our Negative Binomial Distribution Calculators to calculate Negative Binomial Distribution variance, mode, median, mean, CDF, PDF, and PMF Negative Binomial Distribution Calculator For parameters \( r \) (number of successes) and \( p \) (probability of success), the PMF for the number of failures \( x \) (before the \( r^{\text{th}} \) success) is: […]
Read MoreUse our Hypergeometric Distribution Calculator to determine the probability of achieving a specific number of successes when items are randomly drawn from a finite population without replacement. Hypergeometric Distribution Calculator Enter the parameters for the hypergeometric distribution to calculate PDF, CDF, expected value, variance, and to generate a random sample. * \(N\): population size, \(K\): […]
Read MoreUse our Poisson Distribution Calculators to models the probability of a given number of events occurring within a fixed interval of time, given a constant mean rate of occurrence and independence between events. Poisson Distribution Calculator For the Poisson distribution with rate parameter \( \lambda \) (where \( \lambda > 0 \)), the PMF is: […]
Read MoreProjectile Motion Calculator Projectile Motion Calculator Calculate time of flight, maximum height, and range for a projectile. Using the formulas: Time of Flight: \( T = \frac{2v_0\sin\theta}{g} \) Maximum Height: \( H = \frac{v_0^2\sin^2\theta}{2g} \) Range: \( R = \frac{v_0^2\sin(2\theta)}{g} \) * Enter initial speed (m/s), launch angle (°), and gravitational acceleration (m/s²). Step 1: […]
Read MoreUse our Triangular Distribution Calculators to calculate the PDF, CDF, Mean, Mode, Median, Variance and generate sample Triangular Distribution Calculator Triangular Distribution Calculator For parameters \(a\) (lower bound), \(b\) (upper bound) and \(c\) (mode with \(a < c < b\)), the PDF is given by: $$ f(x) = \begin{cases} 0, & x < a \text{ […]
Read MoreUnderstanding the Statistical Instance Functionality Calculators The Statistical Instance Functionality calculators provide tools for performing various statistical analyses on your data sets. These include calculating Z-scores, performing Z-tests and T-tests, and conducting ANOVA tests. Below is a brief overview of each calculator:
Read MoreTukey’s HSD Test Calculator Tukey’s HSD Test Calculator Enter the number of groups, error degrees of freedom, MSE, sample size per group, and significance level. HSD is computed as: HSD = q₍crit₎ × √(MSE/n), where q₍crit₎ is the Studentized Range critical value. Step 1: Enter Parameters Number of Groups (k): e.g., 3 Error Degrees of […]
Read MoreTotal Effect Calculator for Mediation Models Total Effect Calculator for Mediation Models Path Coefficient a (X → M): Path Coefficient b (M → Y): Direct Effect (c’ – X → Y, excluding M): Calculate Total Effect Reset
Read MoreDerivative Calculator Derivative Calculator Function: Differentiation Variable: xtyz Point (optional, leave blank for symbolic differentiation): Calculate Derivative
Read MoreBeta Distribution Calculator Beta Distribution Calculator For shape parameters \( \alpha \) and \( \beta \) (both > 0), the Beta distribution is defined on the interval \([0,1]\) with the PDF: $$ f(x;\alpha,\beta) = \frac{x^{\alpha-1}(1-x)^{\beta-1}}{B(\alpha,\beta)}, \quad 0 \le x \le 1, $$ where \( B(\alpha,\beta)=\frac{\Gamma(\alpha)\Gamma(\beta)}{\Gamma(\alpha+\beta)} \). Step 1: Enter Parameters \( \alpha \): Enter a […]
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