Linear Regression Diagnostics

Cover Linear Regression Diagnostics
Linear Regression Diagnostics
Roy E Welsch
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- y. , and escecially large residuals, has been used ro orovide indications of suspect data that in t'. Jrn niay unduly affect regression results. It is test to have a scalar' covariance matrix, so rhat detection of heteroscedasticity or autocorrelation (and later on, eliminating the. Ti) is desirable.
Approximate normality is another desirable property in te2ms of estimation efficiency and the ability to test hypotheses. Harmful departures fron normality include pronounced skewness, multiple m
.... Odes and rhick-tailed error distributions. D/en moderate departures from normality can noticeably im. Pair estimation efficiency. At the sar. E tim. E, large outliers in error space will often be associated v;ith m. Cdest-sized residuals in least squares estimates since zhe squared error ^criterion heavily weights extreme values.
It will often be difficult in practice to distinguish between heteroscedasticity and thick-tailed error distributions ; to observe the former, a number of dependent variable values must be associated with (at least) several given configurations of explanatory variables.


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