Parametric and non-parametric methods of measuring departmental performance: An application to higher education

Lei Chen
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Abstract

To evaluate the departmental performance in higher education system, we take an example of departments in a large public university in the United States. We include 19 departments for six consecutive academic years (2002-2008). Using both parametric distance function approach and non-parametric Data Envelopment Analysis approach, we estimate the technical efficiency for each department in each academic year. The result shows that social science departments on average are more efficient than natural science departments in terms of saving on input usage. We then estimate the marginal rate of substitution between inputs. We find that holding everything else constant, one faculty member's contribution to the output production is approximately equivalent to that of four graduate assistants. Both parametric and non-parametric analyses provide us with reasonably consistent result.
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衡量部门绩效的参数与非参数方法:在高等教育中的应用
为了评估高等教育系统中院系的绩效,我们以美国一所大型公立大学的院系为例。我们有19个系,连续六个学年(2002-2008)。采用参数距离函数法和非参数数据包络分析法,对各专业在各学年的技术效率进行了估计。结果表明,社会科学部门在节约投入使用方面的平均效率高于自然科学部门。然后我们估计投入之间的边际替代率。我们发现,在保持其他条件不变的情况下,一名教员对产出的贡献大约相当于四名研究生助理的贡献。参数分析和非参数分析都为我们提供了合理一致的结果。
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