metals Article A Quantitative Validation Method of Kriging Metamodel for Injection Mechanism Based on Bayesian Statistical Inference Dongdong You 1,2,3,* , Xiaocheng Shen 1,3, Yanghui Zhu 1,3, Jianxin Deng 2,* and Fenglei Li 1,3 1 National Engineering Research Center of Near-Net-Shape Forming for Metallic Materials, South China University of Technology, Guangzhou 510640, China;
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[email protected] (F.L.) 2 Guangxi Key Lab of Manufacturing System and Advanced Manufacturing Technology, Guangxi University, Nanning 530003, China 3 Guangdong Key Laboratory for Advanced Metallic Materials processing, South China University of Technology, Guangzhou 510640, China * Correspondence:
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[email protected] (J.D.); Tel.: +86-20-8711-2933 (D.Y.); +86-137-0788-9023 (J.D.) Received: 2 April 2019; Accepted: 24 April 2019; Published: 27 April 2019 Abstract: A Bayesian framework-based approach is proposed for the quantitative validation and calibration of the kriging metamodel established by simulation and experimental training samples of the injection mechanism in squeeze casting. The temperature data uncertainty and non-normal distribution are considered in the approach. The normality of the sample data is tested by the Anderson–Darling method. The test results show that the original difference data require transformation for Bayesian testing due to the non-normal distribution. The Box–Cox method is employed for the non-normal transformation. The hypothesis test results of the calibrated kriging model are more reliable after data transformation. The reliability of the kriging metamodel is quantitatively assessed by the calculated Bayes factor and confidence.