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Control charts based on randomized quantile residuals

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  • Kayoung Park
  • Dongmin Jung
  • Jong‐Min Kim

Abstract

In practice, quality characteristics do not always follow a normal distribution, and quality control processes sometimes generate non‐normal response outcomes, including continuous non‐normal data and discrete count data. Thus, achieving better results in such situations requires a new control chart derived from various types of response variables. This study proposes a procedure for monitoring response variables that uses control charts based on randomized quantile residuals obtained from a fitted regression model. Simulation studies demonstrate the performance of the proposed control charts under various situations. We illustrate the procedure using two real‐data examples, based on normal and negative binomial regression models, respectively. The simulation and real‐data results support our proposed procedure.

Suggested Citation

  • Kayoung Park & Dongmin Jung & Jong‐Min Kim, 2020. "Control charts based on randomized quantile residuals," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 36(4), pages 716-729, July.
    • Handle: RePEc:wly:apsmbi:v:36:y:2020:i:4:p:716-729
    DOI: 10.1002/asmb.2527
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