影响图在非线性回归异方差检验中的应用

解锋昌1,李勇2

南京林业大学学报(自然科学版) ›› 2005, Vol. 29 ›› Issue (04) : 69-72.

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南京林业大学学报(自然科学版) ›› 2005, Vol. 29 ›› Issue (04) : 69-72. DOI: 10.3969/j.jssn.1000-2006.2005.04.017
研究论文

影响图在非线性回归异方差检验中的应用

  • 解锋昌1,李勇2
作者信息 +

Influence Graph for the Nonlinear Regression with Heteroscedasticity

  • XIE Feng-chang1, LI Yong2
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文章历史 +

摘要

<正>采用气一质联用仪对云南梁河的思茅松松脂及松节油进行组成成分分析。发现其含较高3一蒈烯,其林分松脂的3蒈烯含量为8.2%~10.0%,平均值为9.1%(n=4);3-蒈烯在单萜十倍半萜中的质量分数为17.5%~27.9%,平均值为21.7%。单株松脂3蒈烯含量最大值为21.1%,高于高山松6%,单株中3一蒈烯在单萜+倍半萜中质量分数为45.2%(1一12)。实验室甘油法蒸馏所得松节油中3-蒈烯含量为27.0%~30.0%,与松脂中3-蒈烯在单萜+倍半萜中的质量分数相近。

Abstract

In ordinary regression analysis, the homoscedasticity of random error is a basic assumption. But the rationality of these assumptions for variance is doubtable. This paper takes the weighted nonlinear regression model as a perturbed version of a homoscedastic regression model and develops the tests for heteroscedasticity based on normal curvature of its influence graph. Based on this fact,the modified score statistic was discussed in detail. Final-[y these new statistics was applied to two concrete numerical examples.

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解锋昌1,李勇2. 影响图在非线性回归异方差检验中的应用[J]. 南京林业大学学报(自然科学版). 2005, 29(04): 69-72 https://doi.org/10.3969/j.jssn.1000-2006.2005.04.017
XIE Feng-chang1, LI Yong2. Influence Graph for the Nonlinear Regression with Heteroscedasticity[J]. Journal of Nanjing Forestry University (Natural Sciences Edition). 2005, 29(04): 69-72 https://doi.org/10.3969/j.jssn.1000-2006.2005.04.017
中图分类号: O212   

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