נגישות

תפריט נגישות

ניגודיות עדינהניגודיות גבוההמונוכרוםהדגשת קישוריםחסימת אנימציהפונט קריאסגוראיפוס הגדרות נגישותלהורדת מודול נגישות חינםניהול

קהילה:

אסיף מאגר המחקר החקלאי

Further results on testing homogeneity of normal means against simple tree alternatives

Year:

1992

Source of publication :

Communications in Statistics - Theory and MethodsAuthors :

טלפז, חובב

;

.

מרכוס, רות

;

.

Volume :

21

Co-Authors:

Marcus, R., Department of Statistics and Operations Research, Agricultural Research Organization, Bet Dagan,50250, Israel

Talpaz, H., Department of Statistics and Operations Research, Agricultural Research Organization, Bet Dagan,50250, Israel

Talpaz, H., Department of Statistics and Operations Research, Agricultural Research Organization, Bet Dagan,50250, Israel

Facilitators :

From page:

2135

To page:

2149

(

Total pages:

15

)

Abstract:

We consider an experimental setup when one is interested in comparing several treatment means pi,„.,Pk with a control mean po, with prior knowledge that the treatments are at least as effective as the control. The problem is to determine if any treatments are significantly better than the control. Several test procedures were proposed for this problem, such as Dunnett’s (1955) multiple comparisons procedure and the likelihood ratio test developed by Bartholomew (1961). Mukerjee etal (1987) developed a class of multiple contrasts tests for this problem and recommended the use of an orthogonal contrast test. XV XV In this paper a test procedure based on the statistic maxi i pi - po is proposed, where po,pi,.,Pk denote the maximum likelihood estimators of po,pi,.,Pk under the simple tree ordering po £ Pi (i = l,.,k). Its null distribution under Ho: Po = Pi =.= Pk is derived and some upper percentage points are tabulated. These percentiles can also be used in forming simultaneous confidence bounds for contrasts between normal means when the contrasts’ coefficients are restricted to simple tree ordering. Some values of power estimates of the test proposed are provided and compared with other relevant test procedures. © 1992, Taylor & Francis Group, LLC. All rights reserved.

Note:

Related Files :

Dunnett's test

Likelihood ratio tests

עוד תגיות

תוכן קשור

More details

DOI :

10.1080/03610929208830903

Article number:

0

Affiliations:

Database:

סקופוס

Publication Type:

מאמר

;

.

Language:

אנגלית

Editors' remarks:

ID:

20270

Last updated date:

02/03/2022 17:27

Creation date:

16/04/2018 23:35

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Further results on testing homogeneity of normal means against simple tree alternatives

21

Marcus, R., Department of Statistics and Operations Research, Agricultural Research Organization, Bet Dagan,50250, Israel

Talpaz, H., Department of Statistics and Operations Research, Agricultural Research Organization, Bet Dagan,50250, Israel

Talpaz, H., Department of Statistics and Operations Research, Agricultural Research Organization, Bet Dagan,50250, Israel

Further results on testing homogeneity of normal means against simple tree alternatives

We consider an experimental setup when one is interested in comparing several treatment means pi,„.,Pk with a control mean po, with prior knowledge that the treatments are at least as effective as the control. The problem is to determine if any treatments are significantly better than the control. Several test procedures were proposed for this problem, such as Dunnett’s (1955) multiple comparisons procedure and the likelihood ratio test developed by Bartholomew (1961). Mukerjee etal (1987) developed a class of multiple contrasts tests for this problem and recommended the use of an orthogonal contrast test. XV XV In this paper a test procedure based on the statistic maxi i pi - po is proposed, where po,pi,.,Pk denote the maximum likelihood estimators of po,pi,.,Pk under the simple tree ordering po £ Pi (i = l,.,k). Its null distribution under Ho: Po = Pi =.= Pk is derived and some upper percentage points are tabulated. These percentiles can also be used in forming simultaneous confidence bounds for contrasts between normal means when the contrasts’ coefficients are restricted to simple tree ordering. Some values of power estimates of the test proposed are provided and compared with other relevant test procedures. © 1992, Taylor & Francis Group, LLC. All rights reserved.

Scientific Publication

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