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- W1981852505 abstract "This article by Hamada and Wu, as well as previous ones by Nair (1986), Agresti (1986), and Box and Jones (1986), has indicated that multifactor experiments are frequently used in industry and that the data from them often have an ordered categorical nature. Accounting for the ordering of such data is important in statistical analysis so that the roles of the factors in producing more favorable response is more informatively evaluated. With appropriate motivation from this theme, Taguchi (1974) proposed accumulation analysis (AA) as a method that was straightforward to apply and provided more reasonable results than methods that ignored any ordering of response outcomes (e.g., Pearson's chi-squared test for two-way contingency tables). Although these virtues may apply to some degree, the extensive study of AA by Hamada and Wu has identified sufficiently many limitations to support a clear recommendation against its application to multifactor studies in industry. Consequently, the extent to which other methods can provide useful analyses of multifactor studies in industry becomes of interest. In this discussion, the roles that three general methods can serve are reviewed. They are Mantel-Haenszel tests (Sec. 5.1), methods for fitting models to linear statistics (Sec. 5.2), and methods for fitting models to distributions (Sec. 5.3). Aspects of the use of these methods are illustrated with three examples from industry; they are the arc-welding experiment (Sec. 2) and the contact-stain experiment (Sec. 3) that are discussed in Hamada and Wu's article and the postetch window-size experiment (Sec. 4) discussed by Nair (1986). Moreover, for these examples, attention is given to issues concerning small sample sizes and tendencies for distributions of data to be concen" @default.
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- W1981852505 date "1990-05-01" @default.
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- W1981852505 title "Discussion: Strategies and Issues for the Analysis of Ordered Categorical Data From Multifactor Studies in Industry" @default.
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- W1981852505 doi "https://doi.org/10.1080/00401706.1990.10484628" @default.
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