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收集所有交通大學研究人員與學生個人或團體所發表之各項學術著作，涵蓋期刊論文、教師專書、學位論文等項。;;Collections of Publications of NCTU Researchers and Students Like Journal Papers and Thesis.

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Author: search.filters.author.Lin, PCSubject: search.filters.subject.critical value

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    Testing process performance based on capability index C-pk with critical values
    (2004-12-01)
    Pearn, WL
    ;
    Lin, PC
    ;
    工業工程與管理學系
    ;
    Department of Industrial Engineering and Management
    Process capability index C-pk has been widely used in the manufacturing industry as a process performance measure. In this paper, we investigate the natural estimator of the index C-pk, and show that under the assumption of normality its distribution can be expressed as a mixture of the chi-square and the normal distributions. We also implement the theory of hypothesis testing using the natural estimator of C-pk, and provide efficient Maple programs to calculate the p-values as well as the critical values for various values of alpha-risk, capability requirements, and sample sizes. The behavior of the p-values and critical values as functions of the distribution parameters are investigated to obtain tight critical values for reliable testing. Based on the test, we develop a simple and practical procedure for in-plant applications. The practitioners can use the proposed procedure to determine whether their process meets the preset capability requirement, and make reliable decisions. (C) 2004 Elsevier Ltd. All rights reserved.
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    Computer program for calculating the p-value in testing process capability index C-pmk
    (2002-07-01)
    Pearn, WL
    ;
    Lin, PC
    ;
    工業工程與管理學系
    ;
    Department of Industrial Engineering and Management
    Many process capability indices, including C-p, C-pk, and C-pm, have been proposed to provide numerical measures on the process potential and performance. Combining the advantages of these indices, Pearn et al. (1992) introduced a new capability index called C-pmk, which has been shown to be a useful capability index for processes with two-sided specification limits. In this paper, we implement the theory of a testing hypothesis using the natural estimator of C-pmk, and provide an efficient Maple computer program to calculate the p-values. We also provide tables of the critical values for some commonly used capability requirements. Based on the test we develop a simple step-by-step procedure for in-plant applications. The practitioners can use the proposed procedure to determine whether their process meets the preset capability requirement, and make reliable decisions. Copyright (C) 2002 John Wiley Sons, Ltd.
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    Item type:Item,
    Assessing process performance based on the incapability index C-pp
    (2005-06-01)
    Lin, PC
    ;
    Pearn, WL
    ;
    工業工程與管理學系
    ;
    Department of Industrial Engineering and Management
    Process incapability index C-pp has been introduced to the manufacturing industry to measure process performance. But all existing methods for testing C-pp require further estimation of the distribution parameters when calculating the p-values and critical values causing additional sampling errors, which is unreliable. In this paper, an efficient SAS computer program is provided to calculate the p-values. Extensive calculations were performed to examine the behavior of the p-values and the critical values c(0) against the distribution parameter. Useful critical values for commonly used capability requirements are also tabulated. A simple but practical step-by-step hypothesis-testing procedure is developed for in-plant applications. Significance: Complicated statistical theory for the uniformly minimum variance unbiased estimator (UMVUE) of C-pp is implemented for testing normal processes. An efficient computer program and useful critical values are given. A practical procedure is developed for the practitioners to determine whether their process meets the preset capability requirement. Since the proposed procedure does not require further estimation of the distribution parameter, the decisions made are more reliable than that using other approaches.