A Study on the Nonparametric Tests for the Two-Sample Problem

• 발행기관: 한국자료분석학회
• 저자명: Hyo-Il Park
• 간행물 정보: 『Journal of The Korean Data Analysis Society (JKDAS)』Vol.12 No.5, 2431~2442쪽, 전체 12쪽
• 주제분류: 자연과학 > 통계학
• 파일형태: PDF
• 발행일자: 2010.10.30

영문 초록

In this paper, we consider nonparametric test procedures based on a group of quantile test statistics. Since we do not assume any specific model, this new nonparametric tests may be useful when the underlying distributions are completely unknown. We consider the quadratic form of statistic for the general alternatives and derive the chi-square distribution as the limiting distribution for the large sample case. Then we illustrate our procedure with an example and compare the proposed tests with the individual quantile tests by obtaining empirical powers through simulation study by applying the permutation principle. Also we comment on the related discussions to this testing procedure as concluding remarks.

목차

1. Introduction

2. New nonparametric tests

3. An example, simulation study and some concluding remarks

References

키워드

Nonparametric test Permutation principle Quantile test