Correction to Sequential Comparison ofdPopulations and Related Tables

This art icle was downloaded by: [ Tuft s Universit y] On: 29 Oct ober 2014, At : 07: 20 Publisher: Taylor & Francis I nform a Lt d Regist ered in England and Wales Regist ered Num ber: 1072954 Regist ered office: Mort im er House, 37- 41 Mort im er St reet , London W1T 3JH, UK Communications in Statistics - Simulation and Computation Publicat ion det ails, including inst ruct ions f or aut hors and subscript ion inf ormat ion: ht t p: / / www. t andf online. com/ loi/ lssp20 Correction to Sequential Comparison of d Populations and Related Tables Edit Gombay a & Daniel Serban a a Depart ment of Mat hemat ical and St at ist ical Sciences , Universit y of Albert a , Edmont on, Albert a, Canada Published online: 20 Feb 2008. To cite this article: Edit Gombay & Daniel Serban (2008) Correct ion t o Sequent ial Comparison of d Populat ions and Relat ed Tables, Communicat ions in St at ist ics - Simulat ion and Comput at ion, 37: 3, 629-629, DOI: 10. 1080/ 03610910701656338 To link to this article: ht t p: / / dx. doi. org/ 10. 1080/ 03610910701656338 PLEASE SCROLL DOWN FOR ARTI CLE Taylor & Francis m akes every effort t o ensure t he accuracy of all t he inform at ion ( t he “ Cont ent ” ) cont ained in t he publicat ions on our plat form . However, Taylor & Francis, our agent s, and our licensors m ake no represent at ions or warrant ies what soever as t o t he accuracy, com plet eness, or suit abilit y for any purpose of t he Cont ent . Any opinions and views expressed in t his publicat ion are t he opinions and views of t he aut hors, and are not t he views of or endorsed by Taylor & Francis. The accuracy of t he Cont ent should not be relied upon and should be independent ly verified wit h prim ary sources of inform at ion. Taylor and Francis shall not be liable for any losses, act ions, claim s, proceedings, dem ands, cost s, expenses, dam ages, and ot her liabilit ies what soever or howsoever caused arising direct ly or indirect ly in connect ion wit h, in relat ion t o or arising out of t he use of t he Cont ent . This art icle m ay be used for research, t eaching, and privat e st udy purposes. Any subst ant ial or syst em at ic reproduct ion, redist ribut ion, reselling, loan, sub- licensing, syst em at ic supply, or dist ribut ion in any form t o anyone is expressly forbidden. Term s & Condit ions of access and use can be found at ht t p: / / www.t andfonline.com / page/ t erm sand- condit ions Communications in Statistics—Simulation and Computation® , 37: 629, 2008 Copyright © Taylor & Francis Group, LLC ISSN: 0361-0918 print/1532-4141 online DOI: 10.1080/03610910701656338 Letter to the Editor Correction to Sequential Comparison of d Populations and Related Tables Downloaded by [Tufts University] at 07:20 29 October 2014 EDIT GOMBAY AND DANIEL SERBAN Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada Keywords ANOVA; Rao’s statistic; Sequential test; Strong approximations. Mathematics Subject Classification Primary 62L10; Secondary 62F05, 62H15. An unfortunate double meaning of letter d has made the understanding and applications of the results difficult. In the title and Secs. 1 and 2, symbol d denotes the number of groups/populations that has to be compared sequentially. In Sec. 3, d is the dimension of
, the parameter of interest, and in turn, the dimension of the Bessel process for which Tables 1 and 2, and tables in the Appendix are to be used. The two meanings are not the same as can be seen from the examples of Sec. 4. When three normal populations are compared, then the dimension of
is d = 2, when four populations are compared, then d = 3. In Rao-statistic based sequential tests this second meaning of d should be used for finding the critical values in Tables 1 or 2. Similarly, for reading the p-value, the table in the Appendix with d equal to the dimension of parameter
has to be used. Reference Gombay, E., Serban, D. (2007). Sequential comparison of d populations and related tables. Communications in Statistics—Simulation and Computation 36:55–72. Received August 20, 2007; Accepted August 29, 2007 Address correspondence to Edit Gombay, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB T6G 2G1, Canada; E-mail: egombay@ ualberta.ca 629