Combination of distribution-free tests for the general two-sample problem with application to the social sciences

被引：2

作者：

Marozzi, Marco ^{[1
,2
]}

机构：

[1] Univ Calabria, Dept Econ Stat & Finance, Via Bucci 0C, I-87036 Arcavacata Di Rende, CS, Italy

[2] Ca Foscari Univ Venice, Dept Environm Sci Informat & Stat, Via Torino 155, I-30172 Venice, Italy

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2016年 / 45卷 / 21期

关键词：

Alcoholism; Combined testing; General two-sample problem; Non parametric testing; Permutation testing; LOCATION;

D O I：

10.1080/03610926.2014.919398

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The problem of detecting any differences between the distributions of two populations is addressed within the non parametric permutation framework of combined tests. Combined testing has been very useful to address the location, the scale, and the location/scale problems. The aim of the paper is to see whether combined testing is useful also for the general two-sample problem. The framework of combined testing for the general two-sample problem is presented and some tests are proposed. These tests are valid even when a non random sample of units is randomized into two groups. Type 1 error rate and power characteristics of the new tests are investigated and compared to former tests. It is shown that the new tests compare favorably with the former ones. An application to a very important socioeconomic problem is discussed.

引用

页码：6421 / 6435

页数：15

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