Testing hypothesis for a simple ordering in incomplete contingency tables

Li, Hui-Qiong1; Tian, Guo-Liang2; Jiang, Xue-Jun3; Tang, Nian-Sheng1

2016-07

10.1016/j.csda.2016.01.003

COMPUTATIONAL STATISTICS & DATA ANALYSIS   影响因子和分区

0167-9473

1872-7352

A test for ordered categorical variables is of considerable importance, because they are frequently encountered in biomedical studies. This paper introduces a simple ordering test approach for the two-way r x c contingency tables with incomplete counts by developing six test statistics, i.e., the likelihood ratio test statistic, score test statistic, global score test statistic, Hausman-Wald test statistic,Wald test statistic and distance-based test statistic. Bootstrap resampling methods are also presented. The performance of the proposed tests is evaluated with respect to their empirical type I error rates and empirical powers. The results show that the likelihood ratio test statistic based on the bootstrap resampling methods perform satisfactorily for small to large sample sizes. A real example from a wheeze study in six cities is used to illustrate the proposed methodologies. (C) 2016 Elsevier B.V. All rights reserved.

EM algorithm Incomplete contingency tables Ordering Statistical inferences

SCI ; EI

英语

其他

Natural Science Foundation of China (NSFC)[11101432]

Computer Science ; Mathematics

Computer Science, Interdisciplinary Applications ; Statistics & Probability

WOS:000373653700003

ELSEVIER SCIENCE BV

20160701953670

Statistical tests

Mathematical Statistics:922.2

MATHEMATICS

Web of Science

1.Yunnan Univ, Dept Stat, Kunming 650091, Yunnan, Peoples R China
2.Univ Hong Kong, Dept Stat & Actuarial Sci, Pokfulam Rd, Hong Kong, Hong Kong, Peoples R China
3.South Univ Sci & Technol China, Dept Math, Shenzhen 518055, Guangdong, Peoples R China

Li, Hui-Qiong,Tian, Guo-Liang,Jiang, Xue-Jun,et al. Testing hypothesis for a simple ordering in incomplete contingency tables[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS,2016,99:25-37.

Li, Hui-Qiong,Tian, Guo-Liang,Jiang, Xue-Jun,&Tang, Nian-Sheng.(2016).Testing hypothesis for a simple ordering in incomplete contingency tables.COMPUTATIONAL STATISTICS & DATA ANALYSIS,99,25-37.

Li, Hui-Qiong,et al."Testing hypothesis for a simple ordering in incomplete contingency tables".COMPUTATIONAL STATISTICS & DATA ANALYSIS 99(2016):25-37.