| A Longitudinal Study of the Effects of Family Background Factors on Mathematics Achievements Using Quantile Regression |
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| 作者姓名： | Xi-zhi Wu Mao-zai Tian |
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| 作者单位： | [1]Center for Applied Statistics, School of Statistics, Renmin University of China, Beijing 100872, China [2]School of Statistics, Renmin University of China, Beijing 100872, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （No. 10431010）, Education Ministry Key Project （No. 05JJD910001） and National Philosophy and Social Science Foundation grant （No. 07BTJ002）, 2006 New Century Excellent Talent Program and Funds
supported by Renmin University of China （No. 2006031611） Acknowledgements. The authors would like to the thank Canadian Center for Advanced Studies of National Databases for providing the data. |
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| 摘 要： | Quantile regression is gradually emerging as a powerful tool for estimating models of conditional quantile functions, and therefore research in this area has vastly increased in the past two decades. This paper, with the quantile regression technique, is the first comprehensive longitudinal study on mathematics participation data collected in Alberta, Canada. The major advantage of longitudinal study is its capability to separate the so-called cohort and age effects in the context of population studies. One aim of this paper is to study whether the family background factors alter performance on the mathematical achievement of the strongest students in the same way as that of weaker students based on the large longitudinal sample of 2000, 2001 and 2002 mathematics participation longitudinal data set. The interesting findings suggest that there may be differential family background factor effects at different points in the mathematical achievement conditional distribution.
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| 关 键 词： | 数理统计 分位数回归 估计模型 数学研究 |
| 收稿时间： | 2006-04-02 |
| 修稿时间： | 2007-05-15 |
A longitudinal study of the effects of family background factors on mathematics achievements using quantile regression |
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| Xi-zhi Wu Mao-zai Tian.A Longitudinal Study of the Effects of Family Background Factors on Mathematics Achievements Using Quantile Regression[J].Acta Mathematicae Applicatae Sinica,2008,24(1):85-98. |
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| Authors: | Xi-zhi Wu Mao-zai Tian |
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| Institution: | (1) Center for Applied Statistics, School of Statistics, Renmin University of China, Beijing, 100872, China;(2) School of Statistics, Renmin University of China, Beijing, 100872, China |
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| Abstract: | Quantile regression is gradually emerging as a powerful tool for estimating models of conditional quantile functions, and therefore research in this area has vastly increased in the past two decades. This paper, with the quantile regression technique, is the first comprehensive longitudinal study on mathematics participation data collected in Alberta, Canada. The major advantage of longitudinal study is its capability to separate the so-called cohort and age effects in the context of population studies. One aim of this paper is to study whether the family background factors alter performance on the mathematical achievement of the strongest students in the same way as that of weaker students based on the large longitudinal sample of 2000, 2001 and 2002 mathematics participation longitudinal data set. The interesting findings suggest that there may be differential family background factor effects at different points in the mathematical achievement conditional distribution. |
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| Keywords: | Mathematical achievement family background factors quantile regression confidence intervals longitudinal study |
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