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Tests of Linearity, Multivariate Normality and the Adequacy of Linear Scores
Author(s) -
Cox D. R.,
Wermuth Nanny
Publication year - 1994
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.2307/2986025
Subject(s) - normality , mathematics , multivariate statistics , statistics , linearity , multivariate normal distribution , econometrics , normality test , multivariate analysis , statistical hypothesis testing , engineering , electrical engineering
SUMMARY After some discussion of the purposes of testing multivariate normality, the paper concentrates on two different approaches to testing linearity: on repeated regression tests of nonlinearity and on exploiting properties of a dichotomized normal distribution. Regression tests of linearity are used to examine the adequacy of linear scoring systems for explanatory variables, initially recorded on an ordinal scale. Examples from recent psychological and medical research are given in which the methods have led to some insight into subject‐matter.