Adequacy of approximations to distributions of test statistics in complex mixed linear models

G. Bruce Schaalje1, Justin B. McBride2, Gilbert W. Fellingham1
1Department of Statistics, Brigham Young University, Provo
23M Electronic Handling and Protection Division, Austin

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Fai, A. H. T., and Cornelius, P. L. (1996), “Approximate F-tests of Multiple Degree of Freedom Hypotheses in Generalized Least Squares Analyses of Unbalanced Split-plot Experiments,” Journal of Statistical Computing and Simulation, 54, 363–378.

Giesbrecht, F. G., and Burns, J. C. (1985), “Two-Stage Analysis Based on a Mixed Model: Large-sample Asymptotic Theory and Small-Sample Simulation Results,” Biometrics, 41, 853–862.

Hamilton, R. M., Dogan, E. B., Schaalje, G. B., and Booth, G. M. (1999), “Olfactory Response Of The Lady Beetle Hippodamia Convergens (Coleoptera: coccinellidae) To Prey Related Odors, Including A SEM Study Of The Antennal Sensilla,” Environmental Entomology, 28, 812–822.

Jeske, D. R., and Harville, D. A. (1988), “Prediction Interval Procedures and (Fixed-Random) Confidence-Inverval Procedures For Mixed Linear Model,” Communications in Statistics A. Theory and Methods, 17, 1053–1087.

Kackar, R. N., and Harville, D. A. (1984), “Approximations for Standard Errors of Estimators of Fixed and Random Effects in Mixed Linear Models,” Journal of the American Statistical Association, 79, 853–862.

Kenward, M. G., and Roger, J. H. (1997), “Small Sample Inference for Fixed Effects from Restricted Maximum Likelihood,” Biometrics, 53, 983–997.

Lehmann, E. (1998), Elements of Large Sample Theory, New York: Springer-Verlag.

Littell, R. C., Milliken, G. A., Stroup, W. W., and Wolfinger, R. D. (1996), SAS System for Mixed Models, New York: SAS Institute Inc.

McCulloch, C. E., and Searle, S. R. (2001), Generalized, Linear, and Mixed Models, New York: Wiley.

McLean, R. A., and Sanders, W. L. (1988), “Approximating Degrees of Freedom for Standard Errors in Mixed Linear Models,” in Proceedings of the Statistical Computing Section, Alexandria, VA: American Statistical Association, pp. 50–59.

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

Ripley, B. E. (1987), Stochastic Simulation, New York: Wiley.

SAS Institute, Inc. (1999), SAS version 8, Online Help, Cary, NC: SAS Institute.

Satterthwaite, F. E. (1941), “Synthesis of Variance,” Psychometrika, 6, 309–316.