References

Burdick, R. K., Borror, C. M., and Montgomery, D. C. (2003), “A Review of Methods for Measurement Systems Capability Analysis,” Journal of Quality Technology, 35, 342–354.

Burdick, R. K., Borror, C. M., and Montgomery, D. C. (2005), Design and Analysis of Gauge R&R Studies: Making Decisions with Confidence Intervals in Random and Mixed ANOVA Models, Philadelphia, PA and Alexandria, VA: SIAM and ASA.

Gaylor, D. W., Lucas, H. L., and Anderson, R. L. (1970), “Calculation of Expected Mean Squares by the Abbreviated Doolittle and Square Root Methods,” Biometrics, 26, 641–655.

Goodnight, J. (1978), Computing MIVQUE0 Estimates of Variance Components, Technical report, SAS Institute Inc, Cary, NC, SAS Technical Report R-105 Edition.

Goodnight, J. H. and Hemmerle, W. J. (1979), “A Simplified Algorithm for the W-Transformation in Variance Component Estimation,” Technometrics, 21, 265–268.

Hartley, H. O., Rao, J. N. K., and LaMotte, L. (1978), “A Simple Synthesis-Based Method of Variance Component Estimation,” Biometrics, 34, 233–244.

Hemmerle, W. J. and Hartley, H. O. (1973), “Computing Maximum Likelihood Estimates for the Mixed AOV Model Using the W-Transformation,” Technometrics, 15, 819–831.

Hicks, C. R. (1973), Fundamental Concepts in the Design of Experiments, New York: Holt, Rinehart and Winston.

Hocking, R. R. (1983), “A Diagnostic Tool for Mixed Models with Applications to Negative Estimates of Variance Components,” in Proceedings of the Eighth Annual SAS Users Group International Conference, Cary, NC: SAS Institute Inc.

Hocking, R. R. (1984), Analysis of Linear Models, Monterey, CA: Brooks/Cole.

Houf, R. E. and Burman, D. B. (1988), “Statistical Analysis of Power Module Thermal Test Equipment Performance,” IEEE Transactions on Components Hybrids, and Manufacturing Technology, 11, 516–520.

Patterson, H. D. and Thompson, R. (1971), “Recovery of Inter-Block Information When Block Sizes Are Unequal,” Biometrika, 58, 545–554.

Rao, C. R. (1971), “Minimum Variance Quadratic Unbiased Estimation of Variance Components,” Journal of Multivariate Analysis, 1, 445–456.

Rao, C. R. (1972), “Estimation of Variance and Covariance Components in Linear Models,” Journal of the American Statistical Association, 67, 112–115.

Searle, S. R., Casella, G., and McCulloch, C. E. (1992), Variance Components, New York: John Wiley & Sons.