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OTE/SPH
 OTE/SPH
                               Char Count= 0
                         2:55
 JWBK119-06
          August 31, 2006
                                       References                             83
                 Table 6.5 ANOVA table for oxide thickness.
                 Source              df           SS             MS
                 Measurements        84         10 155.00       120.89
                 Wafers              63         36 014.50       571.66
                 Lots                20         61 442.29      3072.11
                 Total              167        107,611.79



        The mean squares for lots, wafers, and measurements are respectively,

               SS L          SS W          SS M
        MS L =     ,  MS W =     ,  MS M =     .
               df L          df W          df M
      The variance components are given by

          2
         σ    = MS M ,
          meas
         2
        σ wafers  =  MS W − MS M  ,
                     M
           2    MS L − MS M
          σ   =             .
           lots
                    WM
      The ANOVA table for the oxide thickness is given in Table 6.5.


                                    REFERENCES

      1. Harry, M. and Schroeder, R. (2000) Six Sigma: The Breakthrough Management Strategy Revolu-
        tionizing the World’s Top Corporations. New York: Doubleday.
      2. Montgomery, D.C. (2005) Introduction to Statistical Quality Control, 5th edition. Hoboken, NJ:
        John Wiley & Sons, Inc.
      3. Pearson, K. (1894) Contributions to the mathematical theory of evolution I. On the dissection
        of asymmetrical frequency curves. Philosophical Transactions of the Royal Society of London A,
        185, 71--110.
      4. Mood, A.M., Graybill, F.A., and Boes, D.C. (1974) Introduction to the Theory of Statistics. New
        York: McGraw-Hill.
      5. Alwan, L.C. (2000) Statistical Process Analysis. Boston: Irwin/McGraw-Hill.
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