On testing the homogeneity of coefficients of variation
Stanisław Czajka
sekretariat.kmmis@up.poznan.plKatedra Metod Matematycznych i Statystycznych Akademii Rolniczej, Poznań (Poland)
Zygmunt Kaczmarek
Instytut Genetyki Roślin PAN, Poznań (Poland)
Abstract
An approximate test for homogeneity of coefficients of variation given by Bennett (1976) is described. The approximate Z statistic for testing the null hypothesis of homogeneity for k coefficients of variation is proposed. It is approximately distributed as χ2 with (k-1) degrees of freedom. Additional information concerning usefulness of the Z test in different practical situations, obtained on the basis of simulation study, is also given.
Supporting Agencies
Keywords:
coefficient of variation, critical region, variance, Z statisticReferences
Bennett B. M. 1976. On an approximate test for homogeneity of coefficients of variation,. In: Contributions to applied statistics (ed. W. I. Ziegler). Birkhäuser Verlag: 169 — 171.
DOI: https://doi.org/10.1007/978-3-0348-5513-6_16
Google Scholar
Elandt R. 1964. Statystyka matematyczna w zastosowaniu do doświadczalnictwa rolniczego. PWN, Warszawa.
Google Scholar
Greń J. 1987. Statystyka matematyczna. PWN. Warszawa.
Google Scholar
Authors
Stanisław Czajkasekretariat.kmmis@up.poznan.pl
Katedra Metod Matematycznych i Statystycznych Akademii Rolniczej, Poznań Poland
Authors
Zygmunt KaczmarekInstytut Genetyki Roślin PAN, Poznań Poland
Statistics
Abstract views: 146PDF downloads: 17
License
Copyright (c) 2003 Stanisław Czajka, Zygmunt Kaczmarek
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Upon submitting the article, the Authors grant the Publisher a non-exclusive and free license to use the article for an indefinite period of time throughout the world in the following fields of use:
- Production and reproduction of copies of the article using a specific technique, including printing and digital technology.
- Placing on the market, lending or renting the original or copies of the article.
- Public performance, exhibition, display, reproduction, broadcasting and re-broadcasting, as well as making the article publicly available in such a way that everyone can access it at a place and time of their choice.
- Including the article in a collective work.
- Uploading an article in electronic form to electronic platforms or otherwise introducing an article in electronic form to the Internet or other network.
- Dissemination of the article in electronic form on the Internet or other network, in collective work as well as independently.
- Making the article available in an electronic version in such a way that everyone can access it at a place and time of their choice, in particular via the Internet.
Authors by sending a request for publication:
- They consent to the publication of the article in the journal,
- They agree to give the publication a DOI (Digital Object Identifier),
- They undertake to comply with the publishing house's code of ethics in accordance with the guidelines of the Committee on Publication Ethics (COPE), (http://ihar.edu.pl/biblioteka_i_wydawnictwa.php),
- They consent to the articles being made available in electronic form under the CC BY-SA 4.0 license, in open access,
- They agree to send article metadata to commercial and non-commercial journal indexing databases.
Most read articles by the same author(s)
- Laurencja Szała, Zygmunt Kaczmarek, Elżbieta Adamska, Teresa Cegielska-Taras, Influence of the direction of crossing on the expression of seed colour and yield components in DH line populations of winter oilseed rape , Bulletin of Plant Breeding and Acclimatization Institute: No. 264 (2012): Regular issue
- Tadeusz Adamski, Andrzej Bichoński, Zdzisław Biliński, Zbigniew Bystry, Piotr Jarosz, Dorota Jasińska, Zygmunt Kaczmarek, Karolina Krystkowiak, Anetta Kuczyńska, Wojciech Mikulski, Barbara Nowak, Wanda Orłowska-Job, Zdzisław Paszkiewicz, Michał Rębarz, Maria Surma, Anna Sybilska, Renata Trzeciak, The genotype-environment interaction for barley lines from different breeding stations , Bulletin of Plant Breeding and Acclimatization Institute: No. 249 (2008): Regular issue
- Tadeusz Adamski, Zygmunt Kaczmarek, Maria Surma, Anetta Kuczyńska, Karolina Krystkowiak, Bolesław Salmanowicz, Renata Trzeciak, Zofia Banaszak, Bogusława Ługowska, Małgorzata Majcher, Wiktor Obuchowski, Multivariate analysis of some quality traits of winter wheat grain , Bulletin of Plant Breeding and Acclimatization Institute: No. 260/261 (2011): Regular issue
- Katarzyna Pankiewicz, Wojciech Rybiński, Zygmunt Kaczmarek, Estimation of variability on phenotypic and molecular level of spherical-seeded form of grasspea (Lathyrus sativus L.) , Bulletin of Plant Breeding and Acclimatization Institute: No. 260/261 (2011): Regular issue
- Maria Surma, Tadeusz Adamski, Zygmunt Kaczmarek, Paweł Krajewski, Quantitative genetics —review through the century , Bulletin of Plant Breeding and Acclimatization Institute: No. 250 (2008): Regular issue
- Tadeusz Adamski, Maria Surma, Zygmunt Kaczmarek, Anetta Kuczyńska, Krzysztof Mikołajczak, Michał Kempa, Piotr Ogrodowicz, Elżbieta Adamska, Renata Trzeciak, Alina Anioła, Renata Holewińska , Studies on the effect of 1B/1R translocations on the efficiency of obtaining wheat DH lines and their technological value , Bulletin of Plant Breeding and Acclimatization Institute: No. 286 (2019): Special issue
- Karolina Krystkowiak, Tadeusz Adamski, Maria Surma, Zygmunt Kaczmarek, Anetta Kuczyńska, Variation of wheat cultivars with regard to agronomic traits estimated by uni- and multivariate analysis , Bulletin of Plant Breeding and Acclimatization Institute: No. 253 (2009): Regular issue
- Zygmunt Kaczmarek, Dariusz R. Mańkowski, An introduction to multivariate statistical analyses. Part I. Theoretical background , Bulletin of Plant Breeding and Acclimatization Institute: No. 259 (2011): Regular issue
- Karolina Krystkowiak, Tadeusz Adamski, Maria Surma, Zygmunt Kaczmarek, Anetta Kuczyńska, Agata Burtna, Renata Trzeciak, Variability of chosen technological traits of winter wheat hybrids in relation to composition of HMW glutenin subunits in parental forms , Bulletin of Plant Breeding and Acclimatization Institute: No. 260/261 (2011): Regular issue
- Zygmunt Kaczmarek, Laurencja Szała, Elżbieta Adamska, Teresa Cegielska-Taras, Statistical and genetic evaluation of winter oilseed rape DH lines based on the results of an unreplicated experiment with standards , Bulletin of Plant Breeding and Acclimatization Institute: No. 253 (2009): Regular issue
