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ISSN 0168-9673 CN 11-2041/O1
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22 February 2006, Volume 20 Issue 4
    

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  • Original Articles
    Some Properties of A Lack-of-Fit Test for a Linear Errors in Variables Model
    Li-xing Zhu, Heng-jian Cui, K.W. Ng
    Acta Mathematicae Applicatae Sinica(English Series). 2004, 20(4): 533-540.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    The relationship between the linear errors-in-variables model and the corresponding ordinary linear model in statistical inference is studied. It is shown that normality of the distribution of covariate is a necessary and sufficient condition for the equivalence. Therefore, testing for lack-of-fit in linear errors-in-variables model can be converted into testing for it in the corresponding ordinary linear model under normality assumption. A test of score type is constructed and the limiting chi-squared distribution is derived under the null hypothesis. Furthermore, we discuss the power of the test and the choice of the weight function involved in the test statistic.
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ISSN 0168-9673 
CN 11-2041/O1
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