An Interactive Program for the Analysis of Data from Two-Level Factorial Experiments via Probability Plotting

Abstract

An interactive computer program that expedites the analysis for unreplicated two-level factorial and fractional factorial experimental designs advocated by Daniel (1976) and Box, Hunter, and Hunter (1978) is presented. The program calculates estimated effects via the Yates algorithm, identifies statistically detectable effects via normal plots and half normal plots, fits candidate models via the reverse Yates algorithm, and enables evaluation of candidate models through residual plots. The program can handle the analysis of standard 2p-q fractional factorial experiments where p - q √ 7 and can be modified to allow p - q \u3e 7