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Some multiple comparison procedures for comparing treatments within several groups
Year:
1994
Authors :
Genizi, Abraham
;
.
Marcus, Ruth
;
.
Volume :
23
Co-Authors:
Genizi, A., Department of Statistics and Operations Research, Agricultural Research Organization, Bet Dagan 50 250, Israel
Marcus, R., Department of Statistics and Operations Research, Agricultural Research Organization, Bet Dagan 50 250, Israel
Facilitators :
From page:
763
To page:
779
(
Total pages:
17
)
Abstract:
Multiple comparison procedures are extended to designs consisting of several groups, where the treatment means are to be compared within each group. This may arise in two-factor experiments, with a significant interaction term, when one is interested in comparing the levels of one factor at each level of the other factor. A general approach is presented for deriving the distributions and calculating critical points, following three papers which dealt with two specific procedures. These points are used for constructing simultaneous confidence intervals over some restricted set of contrasts among treatment means in each of the groups. Tables of critical values are provided for two procedures and an application is demonstrated. Some extensions are presented for the case of possible different sets of contrasts and also for unequal variances in the various groups. © 1994, Taylor & Francis Group, LLC. All rights reserved.
Note:
Related Files :
experiment-wise error
simultaneous confidence intervals
tables of critical values
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More details
DOI :
10.1080/03610929408831285
Article number:
Affiliations:
Database:
Scopus
Publication Type:
article
;
.
Language:
English
Editors' remarks:
ID:
24716
Last updated date:
02/03/2022 17:27
Creation date:
17/04/2018 00:09
Scientific Publication
Some multiple comparison procedures for comparing treatments within several groups
23
Genizi, A., Department of Statistics and Operations Research, Agricultural Research Organization, Bet Dagan 50 250, Israel
Marcus, R., Department of Statistics and Operations Research, Agricultural Research Organization, Bet Dagan 50 250, Israel
Some multiple comparison procedures for comparing treatments within several groups
Multiple comparison procedures are extended to designs consisting of several groups, where the treatment means are to be compared within each group. This may arise in two-factor experiments, with a significant interaction term, when one is interested in comparing the levels of one factor at each level of the other factor. A general approach is presented for deriving the distributions and calculating critical points, following three papers which dealt with two specific procedures. These points are used for constructing simultaneous confidence intervals over some restricted set of contrasts among treatment means in each of the groups. Tables of critical values are provided for two procedures and an application is demonstrated. Some extensions are presented for the case of possible different sets of contrasts and also for unequal variances in the various groups. © 1994, Taylor & Francis Group, LLC. All rights reserved.
Scientific Publication
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