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The Application of Robust Regression to a Production Function Comparison

机译:稳健回归在生产函数比较中的应用

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The adequate representation of crop response functions is crucial for agronomic as well as agricultural economicmodeling and analysis. So far, the evaluation of such functions focused on the comparison of different functionalforms. In this article, the perspective is expanded also by considering different regression methods. This is motivated bythe fact that exceptional crop yield observations (outliers) can cause misleading results if least squares regression is applied.In order to address this problem we also apply robust regression techniques that are not affected by such outliers.We evaluate the quadratic, the square root and the Mitscherlich-Baule function using the example of Swiss corn (Zeamays L.) yields. It shows that the use of robust regression narrows the range of optimal input levels across different functionalforms and reduces potential costs of misspecification compared to least squares estimation. Thus, differences betweenfunctional forms are reduced by applying robust regression.
机译:作物响应功能的充分代表对于农艺以及农业经济建模和分析至关重要。到目前为止,对此类功能的评估着重于对不同功能形式的比较。在本文中,还通过考虑不同的回归方法来扩展视角。这是由以下事实引起的:如果应用最小二乘回归,异常的农作物产量观察值(离群值)可能导致误导性结果。为了解决此问题,我们还应用了不受此类离群值影响的稳健回归技术。以瑞士玉米(Zeamays L.)产量为例,求平方根和Mitscherlich-Baule函数。结果表明,与最小二乘估计相比,鲁棒回归的使用缩小了不同功能形式之间最佳输入水平的范围,并减少了误指定的潜在成本。因此,通过应用鲁棒回归可以减少功能形式之间的差异。

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