72
Views
21
CrossRef citations to date
0
Altmetric
Original Articles

Mixed models and unbalanced data: wherefrom, whereat and whereto?

Pages 935-968 | Published online: 27 Jun 2007

Bibliography

  • Aity , G.B. 1861 . On the Algebraical and Numerical Theory of Errors of Observations and the Combinations of Observations , London : MacMillan .
  • Anderson , R.D. 1978 . Studies on the estimation of variance components , Ithaca, New York : Cornell University .
  • Anderson , R.L. 1975 . “ Designs and estimators for variance components ” . In Statistical Design and Linear Models , Edited by: Srivastava , J.N. 1 – 30 . Amsterdam : North Holland .
  • Anderson , R.L. and Bancroft , T.A. 1952 . Statistical Theory in Research , New York : McGraw-Hill .
  • Anderson , R.L. and Crump , P.P. 1967 . Comparisons of designs and estimation procedures for estimating parametersw in a two-stage nested process . Technometrics , 9 : 499 – 416 .
  • Babb , J.S. 1986 . Pooling maximum likelihood estimates of variance components obtained from subsets of unbalanced data , Ithaca, New York : Cornell University . M.S. Thesis, Biometrics Unit
  • Bainbridge , T.R. Staggered nested designs for estimating variance components . American Society for Quality Control Annual Conference Transactions . pp. 93 – 103 .
  • Berk , K. 1987 . Computing for incomplete repeated measures . Biometrics , 43 : 385 – 398 .
  • Bessel , I. 1820 . “ Beschreiburg des auf der Könisgberger Sternwarr aufgestellten Reichenbachschen Meridiankrieses, dessen Anwendung und Geranigkeit imgleichen der Repoldschen Uhr ” . In Astronomisches Jahrbuch für das Jahr Berlin
  • Blischke , W.R. 1968 . Variances of estimates of variance components in a three-way classification . Biometrics , 22 : 553 – 565 .
  • Brown , K.G. 1976 . Asymptotic behavior of MINQUE-TYPE estimators of variance components . Annals of Statistics , 4 : 746 – 754 .
  • Chauvenet , W. 1863 . A manual of Spherical and Parctical Astronomy, 2: Theory and use of Astronomical Instruments , Philadelphia : Lippincott .
  • Cochran , W.G. 1939 . The use of analysis of variance in enumeration by sampling . Journal of the American Statistical Association , 34 : 492 – 510 .
  • Cochran , W.G. Improvement by means of selection . Proceedings Second Berkeley Symposium .
  • Crump , S.L. 1951 . The present status of variance components analysis . Biometrics , 7 : 1 – 16 .
  • Daniels , H.E. 1939 . The estimation of components of variance . Journal of the Royal Statistical Society, Supplemennt , 6 : 186 – 197 .
  • Eisenhart , C. 1947 . The assumptions underlying the analysis of variance . Biometrics , 3 : 1 – 21 .
  • Fisher , R.A. 1918 . The correlations between relatives on the supposition of Mendelian inheritance . Trans. R. Soc., Edinburgh , 52 : 399 – 433 .
  • Fisher , R.A. 1925 . Statistical Methods for Research Workers , London : Oliver and Boyd . Edinburgh
  • Fisher , R.A. 1935 . Discussion of Neyman . Journal of the Royal Statistical Society Series B , 2 : 154 – 155 .
  • Ganguli , M. 1941 . A note on nested sampling . Sankya , : 449 – 452 .
  • Gauss , K.F. 1809 . Theoria Motus Corporum Celestrium in Sectionibus Conics Solem Ambientium , Hamburg : Perthes and Besser .
  • Grayhill , F.A. and Hultquist , R.A. 1961 . Theorems concerning Eisenhart's Model II . Annals of Mathematicals Statistics , 32 : 261 – 269 .
  • Grayhill , F.A. and Wortham , A.W. 1956 . A note on uniformly best unbiased estimators for variance components . Journal of the American Statistical Association , 51 : 266 – 268 .
  • Hartley , H.O. and Rao , J.N.K. 1967 . Maximum likelihood estimation for the mixed analysis of variance model . Biometrika , 54 : 93 – 108 .
  • Hendorson , C.R. 1953 . Estimation of variance and covariance components . Biometrics , 9 : 226 – 252 .
  • Henderson , C.R. 1955 . Personal Communication
  • Henderson , C.R. 1963 . “ Selection index and expected genetic advance ” . In Statistical Genetics in plant Breeding , National Academy of Sciences . National Research Council Publication No.982
  • Herbach , L.R. 1959 . Properties of Model II type analysis of variance tests, At optimum of the F-test for Model II in the balanced case . Annals of Mathematical Statistics , 30 : 939 – 959 .
  • Hirolsu , C. 1966 . Estimating variance compents in a two-way layout with unequal numers of observations . reports of Statistical Applications , 13 ( 2 ) : 29 – 34 .
  • Hocking , R.R. , Green , J.W. and Bremer , R.H. Estimation of variance components in mixed factorical models including model-based diagnostics . Paper persented at American Statistical Association Meetings . Chicago, Illinois
  • Jackson , R.W.B. 1939 . Reliability of metal tests . British Journal of Psychology , 29 : 267 – 287 .
  • Jennrich , R.I. and Schlucter , M.D. 1986 . Unbalanced repeatedmeasure models with structured covariance martices . Biometrics , 42 : 805 – 820 .
  • Kackar , R.N. and Harville , D.A. 1981 . Unbiasedness of two-stage estimation an prediction procedures for mixed linear models . Communications in Statistics A: Theory an Mehtods , 10 : 1249 – 1261 .
  • 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 , 79 : 853 – 861 .
  • Khuri , A.I. and Sahai , H. 1985 . Variance components analysis: a selective literature survey . International Statistics , 53 : 279 – 300 .
  • Snedecor , G.W. and Cochran , W.C. 1969 . Statistical Methods , Ames, Iowa : Iowa State College Press .
  • Thompson , W.A. Jr . 1962 . The problem of negative estimates of variance components . Annals of Mathematical Statistics , 33 : 273 – 289 .
  • Tippett , L.H.C. 1940 . The methods of Statistics , London : Williams and Norgate .
  • Winsor , C.P. and Clarke , G.L. 1940 . Statistical study of variation in the catch of plankton nets . Journal of Marine , 3 : 1 – 34 .
  • Yates , F. and Zacopanay , I. 1935 . The estimation of the efficiency of sampling with special reference to sampling for yield in cereal experiments . Journal of Agricultural Science , 25 : 545 – 577 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.