shape

Author: akawak

free online calculators > Articles by: akawak

Studentized Range Distribution PDF Calculator

Studentized Range Distribution PDF Calculator Studentized Range Distribution PDF Calculator This calculator computes the PDF of the Studentized Range distribution used in multiple comparisons (e.g., Tukey’s HSD test). The PDF is given by: $$ f(q; r, v)=\frac{2\,\Gamma\Bigl(\frac{v+1}{2}\Bigr)}{\sqrt{\pi}\,\Gamma\Bigl(\frac{v}{2}\Bigr)}\,r\,q^{v-1}\int_{0}^{\infty}t^{v}e^{-t^2}\Bigl[\Phi\Bigl(\frac{q}{2}+\frac{t}{\sqrt{2}}\Bigr)-\Phi\Bigl(\frac{t}{\sqrt{2}}-\frac{q}{2}\Bigr)\Bigr]^{r-2}dt. $$ * Enter \( q \) (q ≥ 0), number of groups \( r \) (integer ≥ 2), […]

Read More

Inverse Gamma Distribution Sample Generator

Inverse Gamma Distribution Sample Generator Inverse Gamma Distribution Sample Generator Generate random samples from an Inverse Gamma distribution. * Enter the shape parameter \(\alpha>0\), scale parameter \(\beta>0\), and the number of samples. Step 1: Enter Parameters Shape Parameter, \( \alpha \): e.g., 2 Scale Parameter, \( \beta \): e.g., 3 Number of Samples: e.g., 10 […]

Read More

Inverse Gamma Distribution Mode Calculator

Inverse Gamma Distribution Mode Calculator Inverse Gamma Distribution Mode Calculator For an Inverse Gamma distribution with shape parameter \( \alpha \) and scale parameter \( \beta \), the mode is given by: $$ \text{Mode} = \frac{\beta}{\alpha+1}. $$ * Enter \( \alpha \) (must be \(>0\)) and \( \beta \) (must be \(>0\)). Step 1: Enter […]

Read More

Inverse Gamma Distribution Inverse CDF Calculator

Inverse Gamma Distribution Inverse CDF Calculator Inverse Gamma Distribution Inverse CDF Calculator For an Inverse Gamma distribution with shape parameter \(\alpha\) and scale parameter \(\beta\), the CDF is $$ F(x;\alpha,\beta)=1-P\left(\alpha,\frac{\beta}{x}\right), $$ where \(P(\alpha,z)\) is the regularized lower incomplete gamma function. This calculator finds the quantile \( x \) such that \( F(x;\alpha,\beta)=q \). * Enter […]

Read More

Inverse Gamma Distribution CDF Calculator

Inverse Gamma Distribution CDF Calculator Inverse Gamma Distribution CDF Calculator For an inverse gamma distribution with shape parameter \(\alpha\) and scale parameter \(\beta\), the CDF is given by: $$ F(x;\alpha,\beta)=\frac{\Gamma\left(\alpha,\frac{\beta}{x}\right)}{\Gamma(\alpha)}=Q\left(\alpha,\frac{\beta}{x}\right). $$ * Enter \( x \) (with \( x > 0 \)), \(\alpha > 0\), and \(\beta > 0\). Step 1: Enter Parameters \( x […]

Read More

Inverse Gamma Distribution PDF Calculator

Inverse Gamma Distribution PDF Calculator Inverse Gamma Distribution PDF Calculator For an Inverse Gamma distribution with shape parameter \(\alpha\) and scale parameter \(\beta\), the PDF is: $$ f(x;\alpha,\beta)=\frac{\beta^\alpha}{\Gamma(\alpha)}\,x^{-\alpha-1}e^{-\beta/x},\quad x>0. $$ * Enter \( x \) (with \( x>0 \)), \(\alpha>0\), and \(\beta>0\). Step 1: Enter Parameters \( x \): Enter a value for \( x […]

Read More

Z-Test & Z-Score Calculators: Using Value, Array, Mean, SD, Sides, and Flag

Quickly perform accurate Z-Tests and calculate Z-Scores using our specialized online calculators. Whether you need calculations based on data arrays, individual values, mean, standard deviation (SD), testing sides, or flags, these tools simplify complex statistical analyses. What is Z-Statistics (Z-Test & Z-Score)? Z-Statistics involve calculations that measure how far data points or sample means deviate […]

Read More

Z-Test Calculator Using Value, Array, Sides, Flag

Quickly and accurately perform Z-Test calculations by entering specific values, data arrays, test direction (sides), and custom flags. This versatile calculator is suitable for statisticians, researchers, and students who require flexible data analysis tools. Z-Test Calculator (Value, Array, Sides, Flag) Z-Test Calculator Calculate the z‑score and p‑value using a given value and an array of […]

Read More