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非线性半相依回归模型在生长曲线研究中的应用
引用本文:赵俊康,梁洪川,王彤.非线性半相依回归模型在生长曲线研究中的应用[J].中国卫生统计,2012,29(3):348-350.
作者姓名:赵俊康  梁洪川  王彤
作者单位:山西医科大学公共卫生学院 030001
基金项目:国家自然科学基金,全国统计科研计划重点项目
摘    要:目的探讨非线性半相依回归模型在医学研究领域中的应用。方法以毒理学试验中对四氯化碳CCl4肝细胞毒性的研究为例,应用非线性回归模型分析CCl4肝细胞毒性剂量-反应关系及其与时间的关系。结果 CCl4浓度及时间对乳脱酸氢酶渗出率的影响有统计学意义,且CCl4浓度与时间之间存在交互作用。结论当生长曲线资料中变量之间的关系不满足线性或近似线性关系时,采用非线性半相依回归模型的参数估计方法可以更好的解决这类问题。

关 键 词:非线性半相依回归模型  生长曲线  重复测量设计

Seemingly Unrelated Nonlinear Regression Model with Its Application in Growth Curve Analysis
Zhao Junkang , Liang Hongchuan , Wang Tong.Seemingly Unrelated Nonlinear Regression Model with Its Application in Growth Curve Analysis[J].Chinese Journal of Health Statistics,2012,29(3):348-350.
Authors:Zhao Junkang  Liang Hongchuan  Wang Tong
Affiliation:.Department of Health Statistics,Shanxi Medical University(030001),Taiyuan
Abstract:Objective To explore the application of non-linear seemingly unrelated regression model in the field of medical research.Methods Taked the CCl4 carbon with tetrachloride hepatotoxicity ’s study in toxicology tests for example and use non-linear seemingly unrelated regression model to analysis the dose-response relationship of CCl4 carbon with tetrachloride hepatotoxicity and time.Results The concentration of CCl4 and time had influences on the rate of lactate dehydrogenase leakage and there existed the interaction of them.Conclusion The relationship between the variables not satisfied with linear or nearly linear relationship,using nonlinear seemingly unrelated regression model can be a better solution to such problems.
Keywords:Seemingly unrelated nonlinear regression  Growth curve analysis  Repeated measurements
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