Influence of an Observation on the t-statistic

Title & Authors
Influence of an Observation on the t-statistic
Kim, Hong-Gie; Kim, Kyung-Hee;

Abstract
We derive the influence function on t statistic and find its feature; the influence function on t statistic has two forms depending on the value of $\small{{\mu}_0}$. Sample influence functions are used to verify the validity of the derived influence function. We use random samples from normal distribution to show the validity of the function. The simulation study proves that the obtained influence function is very accurate to in estimating changes in t statistic when an observation is added or deleted.
Keywords
influence function;t statistic;
Language
Korean
Cited by
1.
변이계수에 대한 영향함수,이윤희;김홍기;

Communications for Statistical Applications and Methods, 2008. vol.15. 4, pp.509-516
2.
세 집단 판별분석 상황에서의 영향함수 유도 및 그 응용,이혜정;김홍기;

응용통계연구, 2011. vol.24. 5, pp.941-949
1.
Derivation and Application of In uence Function in Discriminant Analysis for Three Groups, Korean Journal of Applied Statistics, 2011, 24, 5, 941
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