A Set of Nonparametric Tests for Experiments with Lattice-Ordered Means: Theory, Programs, and Applications
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Foundation for Open Access Statistics
2004-03-01
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| Series: | Journal of Statistical Software |
| Online Access: | http://www.jstatsoft.org/index.php/jss/article/view/2325 |
| _version_ | 1828433931204034560 |
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| author | Matthew Strand Shalender Bhasin Hsiao-Pin Liu |
| author_facet | Matthew Strand Shalender Bhasin Hsiao-Pin Liu |
| author_sort | Matthew Strand |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T18:42:53Z |
| format | Article |
| id | doaj.art-573d8aac29904504b73de53cc62113e3 |
| institution | Directory Open Access Journal |
| issn | 1548-7660 |
| language | English |
| last_indexed | 2024-12-10T18:42:53Z |
| publishDate | 2004-03-01 |
| publisher | Foundation for Open Access Statistics |
| record_format | Article |
| series | Journal of Statistical Software |
| spelling | doaj.art-573d8aac29904504b73de53cc62113e32022-12-22T01:37:36ZengFoundation for Open Access StatisticsJournal of Statistical Software1548-76602004-03-019111610.18637/jss.v009.i06929A Set of Nonparametric Tests for Experiments with Lattice-Ordered Means: Theory, Programs, and ApplicationsMatthew StrandShalender BhasinHsiao-Pin LiuIn 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.http://www.jstatsoft.org/index.php/jss/article/view/2325 |
| spellingShingle | Matthew Strand Shalender Bhasin Hsiao-Pin Liu A Set of Nonparametric Tests for Experiments with Lattice-Ordered Means: Theory, Programs, and Applications Journal of Statistical Software |
| title | A Set of Nonparametric Tests for Experiments with Lattice-Ordered Means: Theory, Programs, and Applications |
| title_full | A Set of Nonparametric Tests for Experiments with Lattice-Ordered Means: Theory, Programs, and Applications |
| title_fullStr | A Set of Nonparametric Tests for Experiments with Lattice-Ordered Means: Theory, Programs, and Applications |
| title_full_unstemmed | A Set of Nonparametric Tests for Experiments with Lattice-Ordered Means: Theory, Programs, and Applications |
| title_short | A Set of Nonparametric Tests for Experiments with Lattice-Ordered Means: Theory, Programs, and Applications |
| title_sort | set of nonparametric tests for experiments with lattice ordered means theory programs and applications |
| url | http://www.jstatsoft.org/index.php/jss/article/view/2325 |
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