Some competitors of the mood test for the two-sample scale problem
Titel:
Some competitors of the mood test for the two-sample scale problem
Auteur:
Subhash, Kochar C. Gupta, R.P.
Verschenen in:
Communications in statistics
Paginering:
Jaargang 15 (1986) nr. 1 pagina's 231-239
Jaar:
1986
Inhoud:
Let Xl,…,Xn (Yl,…,Ym) be a random sample from an absolutely continuous distribution with distribution function F(G).A class of distribution-free tests based on U-statistics is proposed for testing the equality of F and G against the alternative that X's are more dispersed then Y's. Let 2 ? C ? n and 2 ? d ? m be two fixed integers. Let ?c,d(Xil,…,Xic ; Yjl,…,Xjd)=1(-1)when max as well as min of {Xil,…,Xic ; Yjl,…,Yjd } are some Xi's (Yj's)and zero oterwise. Let Sc,d be the U-statistic corresponding to ?c,d.In case of equal sample sizes, S22 is equivalent to Mood's Statistic.Large values of Sc,d are significant and these tests are quite efficient