Sensitivity analysis of censored output through polynomial, logistic, and tobit regression meta-models: theory and case study

  • Authors:
  • Jack P. C. Kleijnen;Antonie Vonk Noordegraaf;Mirjam Nielen

  • Affiliations:
  • Tilburg University, 5000 LE Tilburg, THE NETHERLANDS;Wageningen University, 6706 KN Wageningen, THE NETHERLANDS;Wageningen University, 6706 KN Wageningen, THE NETHERLANDS

  • Venue:
  • Proceedings of the 33nd conference on Winter simulation
  • Year:
  • 2001

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Abstract

This paper focuses on simulation output that may be censored; that is, the output has a limited range (examples are simulations that have as output the time to occurrence of a specific event - such as a 'rare' event - within a fixed time horizon). For sensitivity analysis of such simulations we discuss three alternatives: (i) traditional polynomial regression models, (ii) logistic or logit regression, and (iii) tobit analysis. The case study concerns the control of a specific animal disease (namely, IBR) in The Netherlands. The simulation experiment has 31 environmental factors or inputs, combined into 64 scenarios - each replicated twice. Traditional polynomial regression gives some estimated main effects with wrong signs. Logit regression correctly predicts whether simulation output is censored or not, for 92% of the scenarios. Tobit analysis does not give effects with wrong signs; it correctly predicts censoring, for 89% of the scenarios.