This calculator computes the F-statistic and an approximate p-value for a one-way ANOVA, given the sum of squares between (SSB), sum of squares within (SSW), and their respective degrees of freedom. Enter SSB, dfBetween, SSW, and dfWithin to obtain the F-statistic and p-value. Results are for educational and preliminary use only. ANOVA F‑Value Calculator ANOVA […]

Beta Distribution CDF Calculator Beta Distribution CDF Calculator Calculate the Beta Distribution CDF: $$ F(x; \alpha, \beta) = I_x(\alpha,\beta) = \frac{B_x(\alpha,\beta)}{B(\alpha,\beta)} $$ * Enter the shape parameters \( \alpha \) and \( \beta \) (both > 0) and a value \( x \) (0 ≤ \( x \) ≤ 1). Step 1: Enter Parameters Alpha […]

Beta Distribution PDF Calculator Beta Distribution PDF Calculator Calculate the Beta Distribution PDF: $$ f(x; \alpha, \beta) = \frac{x^{\alpha-1}(1-x)^{\beta-1}}{B(\alpha,\beta)} $$ * Enter the shape parameters \( \alpha \) and \( \beta \) (both > 0) and a value \( x \) (0 ≤ \( x \) ≤ 1). Step 1: Enter Parameters Alpha ( \( […]

Beta Function Calculator Beta Function Calculator Calculate the Beta Function: $$ B(a,b) = \frac{\Gamma(a)\Gamma(b)}{\Gamma(a+b)} $$ * Enter parameters \( a \) and \( b \) (both > 0). Step 1: Enter Parameters \( a \): e.g., 2 \( b \): e.g., 2 Calculate Beta Function Calculated Beta Function \( B(a,b) \): Recalculate Formula: $$ B(a,b) […]

Lower Incomplete Beta Function Calculator Lower Incomplete Beta Function Calculator Calculate the lower incomplete beta function: $$ B_x(a,b) = \int_0^x t^{a-1}(1-t)^{b-1} dt $$ * Enter parameters \( a \) and \( b \) (both > 0) and a value \( x \) (0 ≤ \( x \) ≤ 1). Step 1: Enter Parameters \( a […]

Regularized Lower Incomplete Beta Function Calculator Regularized Lower Incomplete Beta Function Calculator Calculate the regularized lower incomplete beta function: $$ I_x(a,b)=\frac{1}{B(a,b)}\int_0^x t^{a-1}(1-t)^{b-1}\,dt $$ * Enter parameters \( a \) and \( b \) (both > 0) and a value \( x \) (0 ≤ \( x \) ≤ 1). Step 1: Enter Parameters \( a […]

Binomial Coefficient Calculator Binomial Coefficient Calculator Calculate the Binomial Coefficient: $$ C(n,k) = \frac{n!}{k!(n-k)!} $$ * Enter values for \( n \) and \( k \) (with \( n \ge k \) and both non-negative integers). Step 1: Enter Parameters \( n \): e.g., 10 \( k \): e.g., 3 Calculate Binomial Coefficient Calculated Binomial […]

Binomial Probability Calculator Calculate the probability of exactly \( k \) successes in \( n \) trials: $$ P(X=k) = \binom{n}{k} p^k (1-p)^{n-k} $$ * Enter the total number of trials \( n \), the number of successes \( k \), and the success probability \( p \) (0 ≤ \( p \) ≤ 1). […]

Use this calculator to determine the confidence interval for a Binomial proportion ( p ). Input your number of trials ( n ), number of successes ( x ), and desired confidence level to compute the confidence interval. Binomial Probability Confidence Interval Calculator Binomial Confidence Interval Calculator Compute the confidence interval for the probability of […]

Cumulative Binomial Probability Calculator Cumulative Binomial Probability Calculator Use this calculator to determine the cumulative probability of obtaining up to a certain number of successes in a fixed number of trials. Input the number of trials, probability of success, and number of successes to compute the cumulative binomial probability. Number of Trials (( n )): […]