品質屬性生產力指數之衡量

On Productivity and Quality Changes

Färe et al. (1995)提出了一種包含品質屬性產出的DEA分析方法，定義了包含品質屬性的生產力指數，且該指數可以被分解為品質變動指數、效率變動指數和技術變動指數。本研究指出，原包含品質屬性的Malmquist生產力指數，可能會產生錯誤結果，因為其距離函數分離關係式裡的可分離乘數只考慮了參考技術期，而忽略了相應時期的資料。本文針對該問題，提出了品質屬性生產力指數模型的修正模式，並驗證了修正模式的正確性。

Färe et al. (1995) proposed an attribute-incorporated data envelopment analysis where a Malmquist productivity index including attributes was formulated. The attribute-incorporated Malmquist productivity index was decomposed into quality change, efficiency change, and technical change. In this paper, we use a counterexample to show that the original attribute-incorporated Malmquist productivity index may yield incorrect results due to the fact that its separable multiplier only considers the reference technology and ignores the corresponding period data, and we give a correct version of the decomposition.