This study comprehensively compares three efficiency measurement methods—chance-constrained data envelopment analysis (CCDEA), stochastic nonparametric envelopment of data (StoNED), and the bootstrap method—in the context of the cultural regeneration performance of cities. The research examines these methods’ methodological differences, advantages, and disadvantages with a focus on uncertainty handling, production function assumptions, and computational requirements. The analysis reveals that CCDEA and the bootstrap method yield similar efficiency scores, while StoNED tends to produce lower efficiency scores. Furthermore, regions exhibit higher value-creation efficiency of cultural and creative industry than operational management efficiency, thus highlighting the untapped potential for improving value creation in cultural regeneration projects. This comprehensive comparison enables researchers and practitioners to further understand the nuances among these methods and select the most suitable method for their specific needs and objectives when evaluating the performance of cultural regeneration projects or other applications.

中文翻译：

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机会约束数据包络分析、随机非参数包络数据和引导法的比较：城市文化再生绩效的案例研究

本研究在城市文化再生绩效的背景下，全面比较了机会约束数据包络分析（CCDEA）、随机非参数数据包络（StoNED）和引导法三种效率测量方法。该研究探讨了这些方法的方法差异、优点和缺点，重点是不确定性处理、生产函数假设和计算要求。分析表明，CCDEA 和 bootstrap 方法产生相似的效率分数，而 StoNED 往往产生较低的效率分数。此外，各地区的文化创意产业价值创造效率高于运营管理效率，凸显文化再生项目提升价值创造的潜力。这种全面的比较使研究人员和从业者能够进一步了解这些方法之间的细微差别，并在评估文化再生项目或其他应用的绩效时选择最适合其特定需求和目标的方法。