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                                      Taguchi Methods
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        Table 18.5 Approaches and concerns in experimental design applications.
        Mainstream statistics                 Taguchi methods
        How experiments can be conducted outside  How experiments can be tied to engineering
          the laboratory for the study of an    design and cost optimization
          operating system
        How to understand the true nature of the  How to translate data into engineering
          object of study by means of inductive  conclusions and hence specific actions
          reasoning
        How to secure valid theoretical foundations  How to reduce the entire methodology into
          for the resulting conclusions and decisions  practical procedures for nonstatisticians
        How to represent significant cause-and-effect  How to insulate a product or process from
          relationships in a product or process by  both present and future external causes of
          mathematical models for performance   performance deterioration
          optimization
        How to obtain the optimal -- not suboptimal  How to obtain a working solution



        the strategic ideas behind each modern practice such as Taguchi’s should well ex-
        plained and not drowned in a plethora of technical details and analysis procedures.
        Bearing in mind the difference in perspectives between statisticians and engineers, 62
        a discussion along the lines of Table 18.5 would serve a useful purpose.
          Admittedly, at one point or other, the question of ‘brand selection’ will surface, but
        one should not feel obliged to declare one’s affinity or loyalty to any, inasmuch as there
        is considerable common ground among the alternatives. For example, techniques
        propounded by the Taguchi and Box schools are by no means mutually exclusive,
        and a clearer understanding of both can be gained by means of a presentation such
        as Figure 18.10. Indeed the figure reflects but a facet of two overlapping yet different
        approaches, one stressing robustness in the engineering sense, another robustness
        with its traditional meaning in statistical inference. Polarization of approaches taken
        by engineering-based Taguchi methods (TM) and statistics-oriented methodologies
                                            2
        typified by Box, Hunter and Hunter (BH ) has created different routes to quality and
        reliability improvement. To return to the fishing and mountaineering analogy, there




                    QUALITY DEFINITION                   SEQUENTIAL EXPERIMENTATION
                     LOSS FUNCTION                   SCREENING/CHARACTERIZATION/OPTIMIZATION
                 PERFORMANCE LEVEL & SPREAD                 RANDOMIZATION
                    ON-LINE/OFF-LINE QC                      REPLICATION
                QUALITY AND RELIABILITY BY DESIGN  ORTHOGONAL DESIGNS  ALTERNATIVE LATIN SQUARE CONSTRUCTIONS
                COST-EFFECTIVE PRODUCT/PROCESS  FACTORIAL DESIGNS  COMPLETE CONFOUNDING ANALYSIS
               CONTROL PARAMETERS/NOISE PARAMETERS  FRACTIONAL/SATURATED FACTORIALS  t TEST FOR TWO-LEVEL FACTORS
                                        ANALYSIS OF VARIANCE
                    STANDARD ARRAYS     TESTS OF SIGNIFICANCE  CURVATURE TESTS
                     LINEAR GRAPHS                        MATHEMATICAL MODELING
                  INNER ARRAY/OUTER ARRAY  PERFORMANCE OPTIMIZATION  MODEL VALIDITY CHECKING
                    SIGNAL/NOISE RATIOS               DESCRIPTION, PREDICTION AND CONTROL
                    MARGINAL ANALYSIS                    BREAKAWAY EXPERIMENTATION
                                                          OPTIMALITY SEEKING (RSM)
                   ACCUMULATION ANALYSIS                 OPTIMALITY TRACKING (EVOP)
                     MINUTE ANALYSIS
                              Taguchi                   Box
        Figure 18.10 Overlapping and distinct areas of Taguchi methods and mainstream statisticians’
        methodologies.
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