Designs Robust against Violation of Normality Assumption in the Standard F-test
In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-nor...
Ausführliche Beschreibung
Autor*in: |
Biswas, A [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2015 |
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Rechteinformationen: |
Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2015 |
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Schlagwörter: |
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Übergeordnetes Werk: |
Enthalten in: Communications in statistics / Theory and methods - London : Taylor and Francis, 1982, 44(2015), 14, Seite 2898 |
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Übergeordnetes Werk: |
volume:44 ; year:2015 ; number:14 ; pages:2898 |
Links: |
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DOI / URN: |
10.1080/03610926.2013.799697 |
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Katalog-ID: |
OLC1968779973 |
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10.1080/03610926.2013.799697 doi PQ20160617 (DE-627)OLC1968779973 (DE-599)GBVOLC1968779973 (PRQ)c2402-1caf742526ef4d80da3f62d0bf15adb913d5851d2e97bd07715ac23eb7e3e32e0 (KEY)0108848320150000044001402898designsrobustagainstviolationofnormalityassumption DE-627 ger DE-627 rakwb eng 510 DNB 31.73 bkl Biswas, A verfasserin aut Designs Robust against Violation of Normality Assumption in the Standard F-test 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-normality in the observations. Here an attempt has been made to identify other designs robust in this sense. In particular, it is observed that for testing relevant hypothesis, a partially balanced incomplete block design in block design setup, under certain conditions, is robust. Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied. Moreover, a new measure of robustness is introduced for further study. The performance of the F-test in presence of non-normality in the observations for a quadratically balanced design is also examined. Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2015 BTIBD 62K10 PBIBD PBTIBD Quadratically balanced designs Robust designs Das, P oth Mandal, N. K oth Enthalten in Communications in statistics / Theory and methods London : Taylor and Francis, 1982 44(2015), 14, Seite 2898 (DE-627)129862290 (DE-600)283673-7 (DE-576)015173747 0361-0926 nnns volume:44 year:2015 number:14 pages:2898 http://dx.doi.org/10.1080/03610926.2013.799697 Volltext http://www.tandfonline.com/doi/abs/10.1080/03610926.2013.799697 http://search.proquest.com/docview/1702890025 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_100 31.73 AVZ AR 44 2015 14 2898 |
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Biswas, A |
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10.1080/03610926.2013.799697 |
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designs robust against violation of normality assumption in the standard f-test |
title_auth |
Designs Robust against Violation of Normality Assumption in the Standard F-test |
abstract |
In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-normality in the observations. Here an attempt has been made to identify other designs robust in this sense. In particular, it is observed that for testing relevant hypothesis, a partially balanced incomplete block design in block design setup, under certain conditions, is robust. Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied. Moreover, a new measure of robustness is introduced for further study. The performance of the F-test in presence of non-normality in the observations for a quadratically balanced design is also examined. |
abstractGer |
In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-normality in the observations. Here an attempt has been made to identify other designs robust in this sense. In particular, it is observed that for testing relevant hypothesis, a partially balanced incomplete block design in block design setup, under certain conditions, is robust. Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied. Moreover, a new measure of robustness is introduced for further study. The performance of the F-test in presence of non-normality in the observations for a quadratically balanced design is also examined. |
abstract_unstemmed |
In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-normality in the observations. Here an attempt has been made to identify other designs robust in this sense. In particular, it is observed that for testing relevant hypothesis, a partially balanced incomplete block design in block design setup, under certain conditions, is robust. Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied. Moreover, a new measure of robustness is introduced for further study. The performance of the F-test in presence of non-normality in the observations for a quadratically balanced design is also examined. |
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title_short |
Designs Robust against Violation of Normality Assumption in the Standard F-test |
url |
http://dx.doi.org/10.1080/03610926.2013.799697 http://www.tandfonline.com/doi/abs/10.1080/03610926.2013.799697 http://search.proquest.com/docview/1702890025 |
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Das, P Mandal, N. K |
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Das, P Mandal, N. K |
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10.1080/03610926.2013.799697 |
up_date |
2024-07-04T04:09:46.965Z |
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