Replication package for: "Global and local technical changes: A new decomposition of the Malmquist Productivity Index using virtual units"

This replication package contains the files required for replicating the results presented in the paper “Global and local technical changes: A new decomposition of the Malmquist Productivity Index using virtual units” co-authored by Juan Aparicio and Daniel Santín and accepted for publication by January 2024 in Economic Modelling. The package contains: - The well-known database of 42 Swedish pharmacies between 1980 and 1989 previously analyzed in the seminal paper of Färe et al. (1992). They showed how to implement and decompose the Malmquist productivity index (MPI) using data envelopment analysis (DEA). This decomposition of total factor productivity changes consists of two terms; the catching-up effect or efficiency change and the frontier-shift effect or technical change (TC). This dataset was also used in other seminal papers as in Balk and Althin (1996), and Althin (2001). - R code with the data in Table 1 and the steps for doing the numerical analysis and achieving the results showed in Table 2 and Fig. 4. It also allows to obtain results in Table 3 changing K. - R code with the steps for doing the numerical analysis and obtaining GTC and LTC reproducing Tables 4 and 5 and Fig. 5. - A README file basic instructions for running the R scripts and the definition of variables (for more details see the papers above). References: Althin, R. (2001). Measurement of productivity changes: Two Malmquist index approaches. Journal of Productivity Analysis, 16(2), 107-128. Balk, B. M., & Althin, R. (1996). A new, transitive productivity index. Journal of Productivity Analysis, 7(1), 19-27. Färe, R., Grosskopf, S., Lindgren, B., & Roos, P. (1992). Productivity changes in Swedish pharmacies 1980-1989: A non-parametric Malmquist approach. Journal of Productivity Analysis, 3(1), 85-101.本复现套件包含复现论文"Global and local technical changes: A new decomposition of the Malmquist Productivity Index using virtual units"（由胡安·阿帕里西奥（Juan Aparicio）与丹尼尔·桑廷（Daniel Santín）合著，2024年1月被《Economic Modelling》期刊录用）中展示结果所需的全部文件。 本套件包含以下内容： - 1980至1989年间瑞典42家药房的经典数据集，该数据集曾被Färe等人1992年的奠基性研究采用并分析。该研究阐明了如何利用数据包络分析（Data Envelopment Analysis，DEA）实现曼奎斯特生产率指数（Malmquist Productivity Index，MPI）的测算与分解。全要素生产率变动的该分解包含两个组成部分：追赶效应（亦称效率变动）与前沿移动效应（亦称技术变动（Technical Change，TC））。该数据集还被Balk与Althin（1996）、Althin（2001）等其他奠基性学术研究所使用。 - 搭载表1数据的R代码，以及完成数值分析、复现表2与图4结果的完整步骤；修改参数K后，还可生成表3的相关结果。 - 用于完成数值分析、复现表4、表5与图5结果，并得到全局技术变动（Global Technical Change，GTC）与局部技术变动（Local Technical Change，LTC）的R代码。 - 一份README文件，包含运行R脚本的基础说明与变量定义（更多细节可参阅上述论文）。 参考文献： Althin, R. (2001). 生产率变动的测度：两种曼奎斯特指数方法. 《生产率分析期刊》, 16(2), 107-128. Balk, B. M., & Althin, R. (1996). 一种新型可传递生产率指数. 《生产率分析期刊》, 7(1), 19-27. Färe, R., Grosskopf, S., Lindgren, B., & Roos, P. (1992). 1980-1989年瑞典药房的生产率变动：一种非参数曼奎斯特方法. 《生产率分析期刊》, 3(1), 85-101.