$F$ tests for the strip-split plot design

TL;DR

This paper details the structure of F tests, variance components, and degrees of freedom for various models in the strip-split plot design, providing a comprehensive framework for analysis.

Contribution

It introduces a detailed framework for F tests and variance components specific to the strip-split plot design, expanding on traditional experimental design analysis.

Findings

Provides explicit formulas for F tests in strip-split plot models

Illustrates the application with a practical example

Compares the strip-split plot design to other experimental designs

Abstract

In this article we present the structure of the $F$ tests, the variance components and the approximate degrees of freedom for each of the eight possible mixed models of the strip-split plot design. We present an example to illustrate the model and compare it to more traditional settings like a three-way factorial design and a split-split plot model.