
Estimator and tests for common coefficients of variation in normal distributions
Forkman, Johannes
(2009).
Estimator and tests for common coefficients of variation in normal distributions.
Communications in statistics. Theory and methods. 38
:2
, 233251
[Research article]
Official URL: http://dx.doi.org/10.1080/03610920802187448 AbstractInference for the coefficient of variation in normal distributions is considered. An explicit estimator of a coefficient of variation that is shared by several populations with normal distributions is proposed. Methods for making confidence intervals and statistical tests, based on McKay's approximation for the coefficient of variation, are provided. Exact expressions for the first two moments of McKay's approximation are given. An approximate Ftest for equality of a coefficient of variation that is shared by several normal distributions and a coefficient of variation that is shared by several other normal distributions is introduced. Authors/Creators:  Forkman, Johannes 

Title:  Estimator and tests for common coefficients of variation in normal distributions 

Series Name/Journal:  Communications in statistics. Theory and methods 

Year of publishing :  January 2009 

Volume:  38 

Number:  2 

Page range:  233251 

Publisher:  Taylor & Francis 

ISSN:  1532415X 

Language:  English 

Additional Information:  Originally published by Taylor & Francis, in Communications in Statistics  Theory and Methods. DOI: 10.1080/03610920802187448 

Publication Type:  Research article 

Refereed:  Yes 

Article category:  Scientific peer reviewed 

Version:  Accepted version 

Full Text Status:  Public 

Subjects:  Obsolete subject words > MATHEMATICS > Applied mathematics > Mathematical statistics 

Keywords:  coefficient of variation, confidence interval, hypothesis test, McKay's approximation, normal distribution, statistical inference 

URN:NBN:  urn:nbn:se:slu:epsilon8967 

Permanent URL:  http://urn.kb.se/resolve?urn=urn:nbn:se:slu:epsilon8967 

Additional ID:  Type of ID  ID 

DOI  10.1080/03610920802187448 


ID Code:  4489 

Department:  (NL, NJ) > Dept. of Crop Production Ecology 

Deposited By: 
Johannes Forkman


Deposited On:  14 Feb 2011 00:00 

Metadata Last Modified:  02 Dec 2014 10:31 

Repository Staff Only: item control page Related resources Related document*  Forkman, Johannes (2011). Linear mixed models for series of variety trials. Biuletyn Oceny odmian. 33, 6372  Related document*  Forkman, Johannes (2008). A method for designing nonlinear univariate calibration. Technometrics. 50:2008:4, 479486  Related document*  The distribution of McKay's approximation for the coefficient of variation  Related document*  Gupta, R.C. & Ma, S. 1996, "Testing the equality of coefficients of variation in K normal populations", Communications in Statistics  Theory and Methods, vol. 25, no. 1, pp. 115132  Related document*  Vangel, M.G. 1996, "Confidence Intervals for a Normal Coefficient of Variation", American Statistician, vol. 50, no. 1, pp. 2126  References*  Verrill, S. & Johnson, R.A. 2007, "Confidence bounds and hypothesis tests for normal distribution coefficients of variation", Communications in Statistics  Theory and Methods, vol. 36, no. 12, pp. 21872206  References*  Vangel, M.G. 1996, "Confidence Intervals for a Normal Coefficient of Variation", American Statistician, vol. 50, no. 1, pp. 2126  References*  Umphrey, G.J. 1983, "A comment on McKay's approximation for the coefficient of variation", Communicational Statistics  Simulation and Computing, vol. 12, no. 5, pp. 629635  References*  Tsui, K.W. & Weerahandi, S. 1989, "Generalized pvalues in significance testing of hypotheses in the presence of nuisance parameters", J.Amer.Statist.Assoc., vol. 84, no. 406, pp. 602607  References*  Tian, L. 2005, "Inferences on the common coefficient of variation", Statistics in medicine, vol. 24, no. 14, pp. 22132220  References*  Shafer, N.J. & Sullivan, J.A. 1986, "A simulation study of a test for the equality of the coefficients of variation", Commun.Statist.Simul.Computat, vol. 15, no. 3, pp. 681695  References*  Carroll, R.J. 2003, "Variances are not always nuisance parameters", Biometrics, vol. 59, no. 2, pp. 211220  References*  Cole, T.J. 2000, "Sympercents: Symmetric percentage differences on the 100 log(e) scale simplify the presentation of log transformed data", Statistics in medicine, vol. 19, no. 22, pp. 31093125  References*  Gupta, R.C. & Ma, S. 1996, "Testing the equality of coefficients of variation in K normal populations", Communications in Statistics  Theory and Methods, vol. 25, no. 1, pp. 115132  References*  Marchand, É. 1997, "On moments of beta mixtures, the noncentral beta distribution, and the coefficient of determination", Journal of Statistical Computation and Simulation, vol. 59, no. 2, pp. 161178  Is referenced by*  Forkman, J., Amiri, S., & von Rosen, D. (2012). Effect of region on the uncertainty in crop variety trial programs with a reduced number of trials. Euphytica, 186(2), 489500  Is referenced by*  Andersohn, F., Schlattmann, P., Roll, S., MüllerRiemenschneider, F., Binting, S. & Willich, S.N. 2010, "Regional variation of mortality from ischemic heart disease in Germany from 1998 to 2007", Clinical Research in Cardiology, vol. 99, no. 8, pp. 51151 

