The VARCOMP Procedure


  • 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. H. (1978). Computing MIVQUE0 Estimates of Variance Components. Technical Report R-105, SAS Institute Inc., Cary, NC.

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

  • Graybill, F. A., and Wang, C. M. (1980). “Confidence Intervals on Nonnegative Linear Combinations of Variances.” Journal of the American Statistical Association 75:869–873.

  • Hartley, H. O., Rao, J. N. K., and LaMotte, L. R. (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 & 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, 711–716. Cary, NC: SAS Institute Inc.

  • Hocking, R. R. (1985). The 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.

  • Weerahandi, S. (1993). “Generalized Confidence Intervals.” Journal of the American Statistical Association 88:899–905.