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50269 9778<br />

An Approximate Test for 0utliers in Linear Models<br />

78 III Re2r':-78<br />

L11<br />

Unlverslly of Southempton<br />

Department of Mathematica<br />

Highfield, Soufhampton<br />

England 509 5NH<br />

0 4 n 0 n 0 2 2 I G<br />

If. ia 9 _ 3a<br />

gtr Woetro<br />

l.iuesr mo+k ls<br />

Rrpe°t°°ar lyeu<br />

Rpidus^<br />

Outlien<br />

A teut etatiatie for deteeting nntliern in linear models involviug rcvidnuln+teud^irdixed<br />

by their indiriduul utanderd deviuNuru is cuosidered end it ir eurgeated Wut ft. edticul<br />

teluee are edequately appmxuneted by npper bnnndr for the rrhicul ruh- ot..inJlur<br />

te+t atxtiatic iuvulviug re,lduela aruudaNised by a cnu.rwnt utandurd deviutiun. The<br />

tert proc<strong>edu</strong>re ir applicable to any liucar model and daes uae requVre a re-ane^yAs with<br />

t6e suapected outlier omitted or treated as a musing value. Two regremion enalyxs are<br />

pven to Jlmtrnte the pror<strong>edu</strong>re.<br />

They show the "hullraminR" cRrct of the etnndord<br />

devintiona if the rcaiduala trom a lirut order model<br />

and coosider configurations di the X matt:x which<br />

(give risc to large variations in thNe standard<br />

deviutionY. It is »uga ^eted that if the. vnriuucea of<br />

S,hq_resitLfaLr vnried x¢rext dcal it would be werth-<br />

<strong>http</strong>://<strong>legacy</strong>.<strong>library</strong>.<strong>ucsf</strong>.<strong>edu</strong>/<strong>tid</strong>/<strong>hvk78d00</strong>/<strong>pdf</strong>

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