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An Intuitive Graphical Approach to Understanding the Split-Plot Experiment

Authors :
Robinson, Timothy J.
Brenneman, William A.
Myers, William R.
Source :
Journal of Statistics Education. Mar 2009 17(1).
Publication Year :
2009

Abstract

While split-plot designs have received considerable attention in the literature over the past decade, there seems to be a general lack of intuitive understanding of the error structure of these designs and the resulting statistical analysis. Typically, students learn the proper error terms for testing factors of a split-plot design via "expected mean squares". This does not provide any true insight as far as why a particular error term is appropriate for a given factor effect. We provide a way to intuitively understand the error structure and resulting statistical analysis in split-plot designs through building on concepts found in simple designs, such as completely randomized and randomized complete block designs, and then provide a way for students to "see" the error structure graphically. The discussion is couched around an example from paper manufacturing. (Contains 9 tables and 3 figures.)

Details

Language :
English
ISSN :
1069-1898
Volume :
17
Issue :
1
Database :
ERIC
Journal :
Journal of Statistics Education
Publication Type :
Academic Journal
Accession number :
EJ841532
Document Type :
Journal Articles<br />Reports - Evaluative