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Applied Mathematics-A Journal of Chinese Universities  2020, Vol. 35 Issue (2): 203-219    DOI: 10.1007/s11766-020-3957-x
    
A new two-part test based on density ratio model for zero-inflated continuous distributions
LU Ya-hui, LIU Ai-yi, JIANG Meng-jie, JIANG Tao
1School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China.
2Biostatistics and Bioinformatics Branch, Eunice Kennedy Shriver National Institute of China Health and Human Development, Bethesda, MD 20817, USA.
3Hangzhou Commercial College, Zhejiang Gongshang University, Hangzhou 311508, China.
A new two-part test based on density ratio model for zero-inflated continuous distributions
LU Ya-hui, LIU Ai-yi, JIANG Meng-jie, JIANG Tao
1School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China.
2Biostatistics and Bioinformatics Branch, Eunice Kennedy Shriver National Institute of China Health and Human Development, Bethesda, MD 20817, USA.
3Hangzhou Commercial College, Zhejiang Gongshang University, Hangzhou 311508, China.
 全文: PDF 
摘要： In this paper, we consider testing the hypothesis concerning the means of two independent semicontinuous distributions whose observations are zero-inflated, characterized by
a sizable number of zeros and positive observations from a continuous distribution. The continuous parts of the two semicontinuous distributions are assumed to follow a density ratio model.
A new two-part test is developed for this kind of data. The proposed test takes the sum of
one test for equality of proportions of zero values and one conditional test for the continuous
distribution. The test is proved to follow a χ
2 distribution with two degrees of freedom. Simulation studies show that the proposed test controls the type I error rates at the desired level,
and is competitive to, and most of the time more powerful than two popular tests. A real data
example from a dietary intervention study is used to illustrate the usefulness of the proposed test.
关键词： two-part test;  zero-inflated continuous distributions;  density ratio model    
Abstract: In this paper, we consider testing the hypothesis concerning the means of two independent semicontinuous distributions whose observations are zero-inflated, characterized by
a sizable number of zeros and positive observations from a continuous distribution. The continuous parts of the two semicontinuous distributions are assumed to follow a density ratio model.
A new two-part test is developed for this kind of data. The proposed test takes the sum of
one test for equality of proportions of zero values and one conditional test for the continuous
distribution. The test is proved to follow a χ
2 distribution with two degrees of freedom. Simulation studies show that the proposed test controls the type I error rates at the desired level,
and is competitive to, and most of the time more powerful than two popular tests. A real data
example from a dietary intervention study is used to illustrate the usefulness of the proposed test.
Key words: two-part test    zero-inflated continuous distributions    density ratio model
出版日期: 2020-07-06
CLC:  62F03  
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LU Ya-hui
LIU Ai-yi
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JIANG Tao

引用本文:

LU Ya-hui, LIU Ai-yi, JIANG Meng-jie, JIANG Tao. A new two-part test based on density ratio model for zero-inflated continuous distributions[J]. Applied Mathematics-A Journal of Chinese Universities, 2020, 35(2): 203-219.

LU Ya-hui, LIU Ai-yi, JIANG Meng-jie, JIANG Tao. A new two-part test based on density ratio model for zero-inflated continuous distributions. Applied Mathematics-A Journal of Chinese Universities, 2020, 35(2): 203-219.

链接本文:

http://www.zjujournals.com/amjcub/CN/10.1007/s11766-020-3957-x    或    http://www.zjujournals.com/amjcub/CN/Y2020/V35/I2/203

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