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The American Statistician Volume 30, 1976 - Issue 1
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The Teacher's Corner

The Use of the R( )-Notation with Unbalanced Data

F. M. Speed Dept. of Computer Science and Statistics, Mississippi State Univ., Mississippi State, MS, 39762, USA
&
R. R. Hocking Dept. of Computer Science and Statistics, Mississippi State Univ., Mississippi State, MS, 39762, USA
Pages 30-33 | Published online: 12 Mar 2012

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Lynn Roy LaMotte. (2020) A formula for Type III sums of squares. Communications in Statistics - Theory and Methods 49:13, pages 3126-3136.
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G. Vallejo, M. P. Fernández & P. E. Livacic-Rojas. (2010) Analysis of unbalanced factorial designs with heteroscedastic data. Journal of Statistical Computation and Simulation 80:1, pages 75-88.
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Ronald Bremer. (1989) Numerical Study of Small Sample Variances of Estimators of Variance Components in the Two-Way Factorial Model. Communications in Statistics - Simulation and Computation 18:3, pages 985-1009.
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Toshiaki Ashihara, Akira Takeshita, Tsutomu Imaizumi, Kunihiko Yamamoto, Sumio Hoka & Motoomi Nakamura. (1988) Decreased Hindquarters Venous Distensibility During High Salt Intake in Stroke-Prone Spontaneously Hypertensive Rats. Clinical and Experimental Hypertension. Part A: Theory and Practice 10:1, pages 59-78.
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Ronald W. Helms. (1988) Comparisons of parameter and hypothesis definitions in a general linear model. Communications in Statistics - Theory and Methods 17:8, pages 2725-2753.
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Julio L. Peixoto. (1986) Testable hypotheses in singular fixed linear models. Communications in Statistics - Theory and Methods 15:6, pages 1957-1973.
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DavidW. Smith & L.W. Murray. (1983) A Simplified Treatment of the Estimation of Parameters and Tests of Hypotheses in Constrained Design Models with Unbalanced Data. The American Statistician 37:2, pages 156-158.
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. (1983) Letters to the Editor. The American Statistician 37:1, pages 92-97.
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K. E. Kemp & Mervyn G. Marasinghe. (1983) Computational efficiency of anova programs based on a reparameterization . Journal of Statistical Computation and Simulation 17:2, pages 79-89.
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S.R. Searle, F.M. Speed & H.V. Henderson. (1981) Some Computational and Model Equivalences in Analyses of Variance of Unequal-Subclass-Numbers Data. The American Statistician 35:1, pages 16-33.
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. (1980) Book Reviews. Journal of the American Statistical Association 75:372, pages 1031-1044.
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S.R. Searle. (1980) Arbitrary hypotheses in linear mod fi.S with unbalanced data. Communications in Statistics - Theory and Methods 9:2, pages 181-200.
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J.H. Goodnight. (1980) Tests of hypotheses in fixed effects linear models. Communications in Statistics - Theory and Methods 9:2, pages 167-180.
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James W. Frane. (1980) Some computing methods for unbalanced analysis of variance and covariance. Communications in Statistics - Theory and Methods 9:2, pages 151-166.
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R.R. Hocking, F.M. Speed & A.T. Coleman. (1980) Hypotheses to be tested with unbalanced data. Communications in Statistics - Theory and Methods 9:2, pages 117-129.
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WilliamJ. Hemmerle. (1979) Balanced Hypotheses and Unbalanced Data. Journal of the American Statistical Association 74:368, pages 794-798.
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CharlesJ. Monlezun. (1979) Two-Dimensional Plots for Interpreting Interactions in the Three-Factor Analysis of Variance Model. The American Statistician 33:2, pages 63-69.
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F.M. Speed & CharlesJ. Monlezun. (1979) Exact F Tests for the Method of Unweighted Means in a 2 Experiment. The American Statistician 33:1, pages 15-18.
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R. Clifford Blair. (1978) I’ve been Testing Some Statistical Hypotheses— Can you Guess What they Are?. The Journal of Educational Research 72:2, pages 116-118.
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F.M. Speed, R.R. Hocking & O.P. Hackney. (1978) Methods of Analysis of Linear Models with Unbalanced Data. Journal of the American Statistical Association 73:361, pages 105-112.
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KennethN. Berk & IvorS. Francis. (1978) A Review of the Manuals for BMDP and SPSS. Journal of the American Statistical Association 73:361, pages 65-71.
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Ronald M. Schrader & Joseph W. Mc Kean. (1977) Robust analysis of variance. Communications in Statistics - Theory and Methods 6:9, pages 879-894.
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I. J. Good, S. R. Searle & A. I. Khuri. (1976) Minicommunications. Communications in Statistics - Simulation and Computation 5:4, pages 207-211.
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