Equivalency p-Value Calculator • cmstatrExt

This page provides an online calculator to a p-value for two-sample equivalency. Based on the qualification sample statistics and the equivalency sample statistics, this calculator computes the p-value. The basis of this method is the following paper. More details are given at the bottom of this page.

S. Kloppenborg, “Lot acceptance testing using sample mean and extremum with finite qualification samples,” Journal of Quality Technology, 2023. DOI: 10.1080/00224065.2022.2147884

This calculator is provided as-is without any warranty. Users are advised to review the code to verify correctness.

Calculator

Input

Qualification Sample Mean (\(\bar{x}_{qual}\)):

Qualification Sample Standard Deviation (\(s_{qual}\)):

Qualification Sample Size (\(n\)):

Equivalency Sample Minimum (\(x_{min\,equiv}\)):

Equivalency Sample Mean (\(\bar{x}_{equiv}\)):

Equivalency Sample Size (\(m\)):

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p-Value

Details

Based on a user selected qualification sample statistics (\(\bar{x}_{qual}\), \(s_{qual}\), and \(n\)), equivalency sample statistics (\(x_{min\,equiv}\), \(\bar{x}_{equiv}\), and \(m\)), the following two statistics are computed:

\[ t_1 = \frac{\bar{x}_{qual} - x_{min\,equiv}}{s_{qual}} \\ t_2 = \frac{\bar{x}_{qual} - \bar{x}_{equiv}}{s_{qual}} \]

From these statistics, a p-Value is computed.

The functionality of this page is provided by the same C++ code that is used by the cmstatrExt R package. This code is compiled to WebAssembly so that it can run inside a web browser without the user installing any special software. This software is licensed under the AGPL-3 license. Source code is available here.