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Nonnormalities and Tests of Asset Pricing Theories
Author(s) -
AFFLECKGRAVES JOHN,
MCDONALD BILL
Publication year - 1989
Publication title -
the journal of finance
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 18.151
H-Index - 299
eISSN - 1540-6261
pISSN - 0022-1082
DOI - 10.1111/j.1540-6261.1989.tb02629.x
Subject(s) - multivariate statistics , normality , econometrics , statistics , mathematics , normality test , multivariate analysis , covariance matrix , population , sample size determination , robustness (evolution) , multivariate normal distribution , test (biology) , statistical hypothesis testing , demography , biology , ecology , biochemistry , sociology , gene
The robustness of the multivariate test of Gibbons, Ross, and Shanken (1986) to nonnormalities in the residual covariance matrix is examined. After considering the relative performance of various tests of normality, simulation techniques are used to determine the effects of nonnormalities on the multivariate test. It is found that, where the sample nonnormalities are severe, the size and/or power of the test can be seriously misstated. However, it is also shown that these extreme sample values may overestimate the population parameters. Hence, we conclude that the multivariate test is reasonably robust with respect to typical levels of nonnormality.