RT Journal Article T1 Choosing the best Rukhin goodness-of-fit statistics A1 Marhuenda García, Yolanda A1 Morales González, Domingo A1 Pardo Llorente, Julio Ángel A1 Pardo Llorente, María del Carmen AB The testing for goodness-of-fit in multinomial sampling contexts is usually based on the asymptotic distribution of Pearson-type chi-squared statistics. However, approximations are not justified for those cases where sample size and number of cells permit the use of adequate algorithms to calculate the exact distribution of test statistics in a reasonable time. In particular, Rukhin statistics, containing chi(2) and Neyman's modified chi(2) statistics, are considered for testing uniformity. Their exact distributions are calculated for different sample sizes and number of cells. Several exact power comparisons are carried out to analyse the behaviour of selected statistics. As a result of the numerical study some recommendations are given. Conclusions may be extended to testing the goodness of fit to a given absolutely continuous cumulative distribution function. PB Elsevier Science SN 0167-9473 YR 2005 FD 2005-06-01 LK https://hdl.handle.net/20.500.14352/50242 UL https://hdl.handle.net/20.500.14352/50242 LA eng DS Docta Complutense RD 5 jul 2025