CAJ | 학술논문

考虑纵向数据的线性误差模型，其中协变量含有测量误差。使用2次函数推断方法得到回归参数的估计，证明所得到的估计渐近地服从正态分布；对参数的假设检验问题，证明所得统计量渐近地服从χ2分布，并通过数值模拟讨论方法的有限样本性质。最后，该方法被用于1组艾滋病数据的实证分析中。
고필종향수거적선성오차모형，기중협변량함유측량오차。사용2차함수추단방법득도회귀삼수적고계，증명소득도적고계점근지복종정태분포；대삼수적가설검험문제，증명소득통계량점근지복종χ2분포，병통과수치모의토론방법적유한양본성질。최후，해방법피용우1조애자병수거적실증분석중。
A linear model for longitudinal data with continuous responses and error-prone covariates via quadratic in-ference functions methods is considered. Asymptotic normality of the parameter estimators is established by quadratic inference functions. In order to testing interested parameter,the statistic that proposed asymptotically follows a chi-squared distribution. The finite-sample properties of the procedures are studied through Monte Carlo simulations. At last,an application to a longitudinal study is used to illustrate the procedure developed here.