影响因子：0.0
DOI码：10.3969/j.issn.1005-3085.2018.01.004
发表刊物：Chinese Journal of Engineering Mathematics
关键字：concentration-time curves; change point; comparative test of two groups
摘要：Aiming at two groups of samples from different populations in the pharmacokinetics, we developed a comparative test of two groups. Firstly, we provided the likelihood function when the null hypothesis and the alternative hypothesis are given. Then the likelihood ratio statistic is constructed, and we proved that the limit distribution of the statistic is ${\chi ^2}\left(3 \right)$ when null hypothesis is true. Lastly the numerical simulation is conducted to confirm the truth of the theory through data verification. The results show that for the two groups with the same parameters, the empirical distribution and the limit distribution fitting well when the sample size is large. On the contrary, the more differences parameters with the smaller values of the $p$-value, and the evidence to refuse the null hypothesis will be more sufficient.
论文类型：期刊论文
论文编号：1005-3085 (2018) 01-0033-12
卷号：35
期号：1
页面范围：33-44
ISSN号：1005-3085
是否译文：否
第一作者：Liping Zhao
通讯作者：Zhiming Xia