Published by the Foundation for Open Access Statistics
Editors-in-chief: Bettina Grün, Torsten Hothorn, Edzer Pebesma, Achim Zeileis    ISSN 1548-7660; CODEN JSSOBK
A Set of Nonparametric Tests for Experiments with Lattice-Ordered Means: Theory, Programs, and Applications | Strand | Journal of Statistical Software
Authors: Matthew Strand, Shalender Bhasin, Hsiao-Pin Liu
Title: A Set of Nonparametric Tests for Experiments with Lattice-Ordered Means: Theory, Programs, and Applications
Abstract: In many factorial experiments where the factors have levels that are ordinal or quantitative, a researcher may predict that the mean response in certain treatments will be higher or lower than those in other treatments. One type of order that may be anticipated is called lattice order, where average response tends to increase (or decrease) as the levels of any one of the factors is increased, holding the others fixed. A Kendall-type statistic, which measures the degree of lattice order in the data, can also be used to carry out a test involving lattice-ordered means. In this article, tests for individual factors are developed to complement the overall test of lattice order, and the methods are then applied to relevant and current data.

Programs in R and FORTRAN are included to carry out the tests.

Page views:: 5704. Submitted: 2003-07-09. Published: 2004-03-20.
Paper: A Set of Nonparametric Tests for Experiments with Lattice-Ordered Means: Theory, Programs, and Applications     Download PDF (Downloads: 5600)
Supplements:
lattests.f.zip: lattersts.f: program code Download (Downloads: 1162; 2KB)
lattests_r.txt.zip: latterst_r: R program for lattice order tests Download (Downloads: 1246; 2KB)
myostatin.txt: data in text format Download (Downloads: 1293; 182B)

DOI: 10.18637/jss.v009.i06

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Paper: Creative Commons Attribution 3.0 Unported License
Code: GNU General Public License (at least one of version 2 or version 3) or a GPL-compatible license.