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Diagnostics for Linear Models With Functional Responses

Summary: [This abstract is based on the authors' abstract.]Residual analysis and diagnostics are considered for linear models with functional responses. Studentized residuals are defined and investigated. Chi-squared quantile-quantile plots are proposed to verify the assumption of Gaussian error process and outliers. Jackknife residuals and an associated test are proposed to detect outliers. Cook's distance is defined to detect influential cases. An example from a robust design study illustrates the methodology.

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  • Topics:
  • Keywords: Cook's distance,Jackknife,Regression analysis,Residual analysis
  • Author: Shen, Qing; Xu, Hongquan
  • Journal: Technometrics