The Simultaneous Assessment of Normality and Homoscedasticity in One-Way Random Effects Models

dc.contributor.authorYang, Ye
dc.contributor.authorMathew, Thomas
dc.date.accessioned2021-01-20T19:01:15Z
dc.date.available2021-01-20T19:01:15Z
dc.date.issued2020-06-28
dc.description.abstractThe article investigates the simultaneous assessment of normality and homoscedasticity in a one-way random effects model. Test procedures are developed assuming a smooth alternative to the normal distribution, specified using Legendre polynomials and Hermite polynomials. Score statistics are derived under both classes of alternatives, and a data driven approach is used to determine the order of the polynomials. Numerical results are reported in order to assess the accuracy of the chisquare distribution as the null distribution of the score statistics. Estimated powers are reported in order to compare the score tests derived under the alternatives based on Legendre polynomials and Hermite polynomials. An example and the corresponding data analysis are reported in order to illustrate the results. Possible extensions to other models involving random effects are briefly indicated.en_US
dc.description.urihttps://www.ssca.org.in/media/9_Vol._18_No_2_2020_SA_Yang-Mathew.pdfen_US
dc.format.extent23 pagesen_US
dc.genrejournal articlesen_US
dc.identifierdoi:10.13016/m2yb7h-vgam
dc.identifier.citationYang, Ye; Mathew, Thomas; The Simultaneous Assessment of Normality and Homoscedasticity in One-Way Random Effects Models; Statistics and Applications, Volume 18, No. 2, 2020 (New Series), pp 97–119; https://www.ssca.org.in/media/9_Vol._18_No_2_2020_SA_Yang-Mathew.pdfen_US
dc.identifier.urihttp://hdl.handle.net/11603/20568
dc.language.isoen_USen_US
dc.publisherSociety of Statistics, Computer and Applicationsen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.relation.ispartofUMBC Student Collection
dc.relation.ispartofUMBC Faculty Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
dc.subjecthermite polynomialsen_US
dc.subjectlegendre polynomialsen_US
dc.subjectscore testen_US
dc.subjectsmooth alternativeen_US
dc.titleThe Simultaneous Assessment of Normality and Homoscedasticity in One-Way Random Effects Modelsen_US
dc.typeTexten_US

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