Method evidence record

Full Factorial Design

A full factorial design is a parametric experimental method in which every combination of factor levels is tested simultaneously, enabling the estimation of all main effects and all interaction effects in a single study. Rooted in R. A. Fisher's foundational work on designed experiments (1926) and systematically developed by Box, Hunter, and Hunter (2005) and Montgomery (2017), the 2^k form tests k two-level factors across 2^k experimental runs and is the benchmark against which all other factorial designs are measured.

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Full Factorial Experimental Design (2^k)

Taxonomic method record · hypothesis-test / experimental-design

Box, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley. · ISBN 978-0471718130
Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. · ISBN 978-1119113478

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Related methods

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Same method familyFractional Factorial Designmachine-suggested · Relational suggestion, not evidence.Same method familyOne-way ANOVAmachine-suggested · Relational suggestion, not evidence.Same method familyResponse Surface Methodologymachine-suggested · Relational suggestion, not evidence.Same method familyTaguchi Methodmachine-suggested · Relational suggestion, not evidence.Same method familyTwo-Way ANOVAmachine-suggested · Relational suggestion, not evidence.