Definitions

recurrence formulae

Shayle R. Searle

Shayle Robert Searle Ph.D. (b. 1928) is Professor Emeritus of Biological Statistics at Cornell University. He is a leader in the field of linear and mixed models in statistics, and has published widely on the topics of linear models, mixed models, and variance component estimation. Searle is one of the first statisticians to use matrix algebra in statistical methodology, and was an early proponent of the use of applied statistical techniques in animal breeding.

Education

Employment

  • Research Statistician - New Zealand Dairy Board - 1953 to 1955, 1959 to 1962
  • Statistician - University Computing Center, Cornell University - 1962 to 1965
  • Professor of Biological Statistics - Cornell University - 1965 to 1996

Honors

Bibliography

Books

Selected journal articles

2000s

  • Paul Cowpertwait, Graeme Wake, Robert D. Anderson, Howard Edwards, and Shayle Searle (2007). "Statistics and Applied Probability: A Tribute to Jeffrey J. Hunter". Journal of Applied Mathematics and Decision Sciences 2007 1.
  • Searle, Shayle R. (2005). "Recollections from a 50-year random walk midst matrices, statistics and computing". Research Letters in the Information and Mathematical Sciences 8 45–52.
  • Costa CN, Blake RW, Pollak EJ, Oltenacu PA, Quaas RL, Searle SR (2000). "Genetic analysis of Holstein cattle populations in Brazil and the United States". J. Dairy Sci. 83 (12): 2963–74.
  • Searle, Shayle R. (2000). "The infusion of matrices into statistics". Image: the Bulletin of the International Linear Algebra Society 24 25–32. 1990s
  • Searle, Shayle R. (1999). "Comments from thirty years of teaching matrix algebra to applied statisticians". Image: the Bulletin of the International Linear Algebra Society 3–5.
  • Searle, Shayle R. (1998). "Winning probabilities of lotto in the United States". Chance, New Directions for Statistics and Computers 11 20–24.
  • Searle, Shayle R. (1997). "Built-in restrictions on best linear unbiased predictors (BLUP) of random effects in mixed models". The American Statistician 51 19–21.
  • Searle, Shayle R. (1997). "Selecting high-producing farm animals -- With help from statistics". Chance, New Directions for Statistics and Computers 10 15–18.
  • Searle, Shayle R. (1997). "The matrix handling of BLUE and BLUP in the mixed linear model". Linear Algebra and its Applications 264 291–311.
  • McCulloch, C. E., Searle, S. R. (1995). "On an identity derived from unbiasedness in linear models". The American Statistician 49 39–42.
  • Searle, Shayle R. (1995). "An overview of variance component estimation". Metrika 42 215–230.
  • Searle, S. R. (1994). "Extending some results and proofs for the singular linear model". Linear Algebra and its Applications 210 139–151.
  • Searle, Shayle R. (1994). "Analysis of variance computing package output for unbalanced data from fixed-effect models with nested factors (Ref: 92V46 p240)". The American Statistician 48 148–153.
  • Yu, Hongjian, Searle, Shayle R., McCulloch, Charles E. (1994). "Properties of maximum likelihood estimators of variance components in the one-way lassification, balanced data". Communications in Statistics, Part B -- Simulation and Computation 23 897–914.
  • Searle SR (1991). "C. R. Henderson, the statistician; and his contributions to variance components estimation". J. Dairy Sci. 74 (11): 4035–44.
  • Henderson, Harold V., Searle, Shayle R. (1990). "Generalized dispersion matrices for covariance structural analysis". Linear Algebra and its Applications 127 543–565. 1980s
  • Searle, Shayle R. (1989). "Obituary: Charles Roy Henderson, 1911-1989". Biometrics 45 1333–1335.
  • Searle, Shayle R. (1989). "Obituary: Charles Roy Henderson, 1911-1989". Bulletin of the Institute of Mathematical Statistics 18 338–338.
  • Searle, Shayle R. (1989). "Statistical computing packages: Some words of caution (Com: 90V44 p263)". The American Statistician 43 189–190.
  • Searle, S. R. (1988). "Annotated computer output, Second Edition: ACO_2". The American Statistician 42 272–272.
  • Searle, Shayle R. (1988). "Mixed models and unbalanced data: Wherefrom, whereat and whereto?". Communications in Statistics, Part a -- Theory and Methods 17 935–968.
  • Searle, Shayle R. (1988). "Parallel lines in residual plots (C/R: 89V43 p129; 89V43 p187)". The American Statistician 42 211–211.
  • Searle, Shayle R., Pukelsheim, Friedrich (1986). "Effects of intraclass correlation on weighted averages". The American Statistician 40 103–105.
  • Searle, Shayle R., Pukelsheim, Friedrich (1985). "Establishing chi^2 properties of sums of squares using induction". The American Statistician 39 301–303.
  • Anderson, R. D., Henderson, H. V., Pukelsheim, F., Searle, S. R. (1984). "Best estimation of variance components from balanced data, with arbitrary kurtosis". Mathematische Operationsforschung und Statistik, Series Statistics 15 163–176.
  • Manfredi EJ, Everett RW, Searle SR (1984). "Phenotypic and genetic statistics of components of milk and two measures of somatic cell concentration". J. Dairy Sci. 67 (9): 2028–33.
  • Searle, S. R. (1984). "Restrictions and generalized inverses in linear models". The American Statistician 38 53–54.
  • Searle, Shayle R., Swallow, William H., McCulloch, Charles E. (1984). "Nontestable hypotheses in linear models". SIAM Journal of Algebraic and Discrete Methods 5 486–496.
  • Searle, S. R., Henderson, Harold V. (1983). "Faults in a computing algorithm for reparameterizing linear models". Communications in Statistics, Part B -- Simulation and Computation 12 67–76.
  • Searle, S. R., Hudson, G. F. S., Federer, W. T. (1983). "Annotated computer output for analysis of covariance". The American Statistician 37 172–173.
  • Searle, Shayle R. (1983). "The recurrence formulae for means and variances". Teaching Statistics 5 7–10.
  • Searle, S. R., Hudson, G. F. S. (1982). "Some distinctive features of output from statistical computing packages for analysis of covariance". Biometrics 38 737–745.
  • Henderson, H.V. and Searle, S.R. (1981). "On deriving the inverse of a sum of matrices". SIAM Review 23 53–60.
  • Henderson, H.V. and Searle, SR (1981). "The vec-permutation matrix, the vec operator and Kronecker products: a review". Linear and Multilinear Algebra 9 271–288.
  • Searle, S. R. (1981). "Annotated computer output for variance components". The American Statistician 35 111–112.
  • Searle, S. R., Speed, F. M., Henderson, H. V. (1981). "Some computational and model equivalences in analyses of variance of unequal-subclass-numbers data". The American Statistician 35 16–33.
  • Searle, S. R. (1980). "Arbitrary hypotheses in linear models with unbalanced data". Communications in Statistics, Part a -- Theory and Methods 9 181–200.

  • Searle, S. R., Firey, P. A. (1980). "Computer generation of data sets for homework exercises in simple regression". The American Statistician 34 51–54.
  • Searle, S. R., Speed, F. M., Milliken, G. A. (1980). "Population marginal means in the linear model: An alternative to least squares means". The American Statistician 34 216–221. 1970s
  • Henderson, Harold V., Searle, S. R. (1979). "Vec and vech operators for matrices, with some uses in Jacobians and multivariate statistics". The Canadian Journal of Statistics 7 65–81.
  • Searle, S. R. (1979). "Alternative covariance models for the 2-way crossed classification". Communications in Statistics, Part a -- Theory and Methods 8 799–818.
  • Searle, S. R. (1979). "Annotated computer output for analysis of variance of unequal-subclass-numbers data". The American Statistician 33 222–223.
  • Searle, S. R. (1979). "Discussion of H. Ahrens' ``An invariance property for first and second order moments of stimated variance-covariance components'' (19th Session on Stochastics)". Biometrical Journal. Journal of Mathematical Methods in Biosciences. [Continues: iometrische Zeitschrift. Zeitschrift für mathematische Methoden in den Biowissenschaften] 21 389–398.
  • Searle, S. R., Henderson, Harold V. (1979). "Dispersion matrices for variance components models". Journal of the American Statistical Association 74 465–470.
  • Swallow, William H., Searle, S. R. (1978). "Minimum variance quadratic unbiased estimation (MIVQUE) of variance components". Technometrics 20 265–272.
  • Searle, S. R. (1977). "Proof". International Journal of Mathematical Education in Science and Technology 8 185–192.
  • Corbeil, R. R., Searle, S. R. (1976). "A comparison of variance component estimators". Biometrics 32 779–791.
  • Corbeil, R. R., Searle, S. R. (1976). "Restricted maximum likelihood (REML) estimation of variance components in the mixed model". Technometrics 18 31–38.
  • Henderson, C. R., Searle, S. R., Schaeffer, L. R. (1974). "The invariance and calculation of Method 2 for estimating variance components". Biometrics 30 583–588.
  • Searle, S. R., Rounsaville, T. R. (1974). "A note on estimating covariance". The American Statistician 28 67–68.
  • Searle, S. R. (1973). "On publishing extended abstracts and reviews". The American Statistician 27 155–157.
  • Rudan, J. W., Searle, S. R. (1971). "Large sample variances of maximum likelihood estimators of variance components in the 3-way ested classification, random model, with unbalanced data". Biometrics 27 1087–1091.
  • Searle, S. R. (1971). "Topics in variance component estimation (Com: V27 p750)". Biometrics 27 1–76.
  • Townsend, E. C., Searle, S. R. (1971). "Best quadratic unbiased estimation of variance components from unbalanced data in the 1-way lassification". Biometrics 27 643–657.
  • Searle, S. R. (1970). "Large sample variances of maximum likelihood estimators of variance components using nbalanced data". Biometrics 26 505–524.
  • Searle, S. R., Fawcett, R. F. (1970). "Expected mean squares in variance components models having finite populations". Biometrics 26 243–254. 1960s
  • Hartley, H. O., Searle, S. R. (1969). "A discontinuity in mixed model analysis". Biometrics 25 573–576.
  • Searle, S. R. (1969). "Correlation between means of parts and wholes (Ref: 68V22/4 p41)". The American Statistician 23 23–24.
  • Searle, S. R. (1968). "A remark on solving equations in sums of powers". Journal of the Royal Statistical Society, Series B, Methodological 30 567–569.
  • Searle, S. R. (1968). "Another look at Henderson's methods of estimating variance components". Biometrics 24 749–778.
  • Searle, S. R. (1965). "The value of indirect selection: I. Mass selection". Biometrics 21 (3): 682–707.
  • Searle, S. R. (1965). "Additional results concerning estimable functions and generalized inverse matrices". Journal of the Royal Statistical Society, Series B, Methodological 27 486–490.
  • Searle SR (1963). "The efficiency of ancestor records in animal selection". Heredity 18 351–60.
  • Searle, S. R. (1961). "Variance components in the unbalanced 2-way nested classification". The Annals of Mathematical Statistics 32 1161–1166.
  • Searle, S. R., Henderson, C. R. (1961). "Computing procedures for estimating components of variance in the two-way classification, mixed model (Corr: V23 p852-853)". Biometrics 17 607–616.
  • Searle, SR and Henderson, CR (1960). "Judging the Effectiveness of Age-Correction Factors". Journal of Dairy Science 43 966.
  • VanVleck, LD and Searle, SR and Henderson, CR (1960). "The Number of Daughter-Dam Pairs Needed for Estimating Heritability". Journal of Animal Science 19 916. 1950s
  • Henderson, C.R. and Kempthorne, O. and Searle, S.R. and von Krosigk, CM (1959). "The estimation of environmental and genetic trends from records subject to culling". Biometrics 15 192–218.
  • Searle, SR (1959). "Use of the Selection Index Method to Account for the Number of Daughters and Records in Progeny-Testing a Dairy Bull". Journal of Dairy Science 42 1666.
  • Searle, SR and Henderson, CR (1959). "Establishing Age-Correction Factors Related to the Level of Herd Production". Journal of Dairy Science 42 824.
  • Searle, SR (1958). "Sampling variances of estimates of variance components". Annals of Mathematical Statistics 29 167–178.
  • Castle, OM and Searle, SR (1957). "Repeatability of Dairy Cow Butterfat Records in New Zealand". Journal of Dairy Science 40 1277.
  • Callow, EH and Searle, SR (1956). "Comparative studies of meat. V. Factors affecting iodine numbers of fat from the fatty and muscular tissue of cattle". J. Agr. Sci 48 61.
  • Searle, SR (1956). "Matrix methods in components of variance and covariance analysis". Annals of Mathematical Statistics 27 737–748.

References

External links

Search another word or see recurrence formulaeon Dictionary | Thesaurus |Spanish
Copyright © 2014 Dictionary.com, LLC. All rights reserved.
  • Please Login or Sign Up to use the Recent Searches feature
FAVORITES
RECENT

;