- 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 instatistics , 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 inanimal breeding .Education
* B.A. -
Victoria University of Wellington - 1949
* M.Sc. - Victoria University of Wellington - 1950
* Ph.D. - Cornell University - 1958
* D.Sc. (h.c.) - Victoria University of Wellington - 2005Employment
* 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 1996Honors
*Winner, Humboldt Research Award of the
Alexander von Humboldt Foundation
*Fellow,American Statistical Association
*Fellow,Royal Statistical Society
*Honorary Fellow,Royal Society of New Zealand , 1999Bibliography
Books
*cite book | author = Neuhaus, John William; McCulloch, Charles E.; Shayle R. Searle | title = Generalized, Linear, and Mixed Models (Wiley Series in Probability and Statistics) | publisher = Wiley-Interscience | location = New York | year = 2008 | pages = | isbn = 0-470-07371-3
*cite book | author = Shayle R. Searle | title = Linear Models for Unbalanced Data (Wiley Series in Probability and Statistics) | publisher = Wiley-Interscience | location = New York | year = 2006 | pages = | isbn = 0-470-04004-1
*cite book | author = McCulloch, Charles E.; Shayle R. Searle; Casella, George | title = Variance Components (Wiley Series in Probability and Statistics) | publisher = Wiley-Interscience | location = New York | year = 2006 | pages = | isbn = 0-470-00959-4
*cite book | author = Shayle R. Searle | title = Matrix Algebra Useful for Statistics (Wiley Series in Probability and Statistics) | publisher = Wiley-Interscience | location = New York | year = 2006 | pages = | isbn = 0-470-00961-6
*cite book | author = Willett, Lois Schertz; Searle, S. R. | title = Matrix algebra for applied economics | publisher = John Wiley & Sons | location = Chichester | year = 2001 | pages = | isbn = 0-471-32207-5
*cite book | author = Searle, S. R. | title = Linear models | publisher = Wiley | location = New York | year = 1971 | pages = | isbn = 0-471-18499-3
*cite book | author = Hausman, Warren H.; Searle, S. R. | title = Matrix algebra for business and economics | publisher = Wiley-Interscience | location = New York | year = 1970 | pages = | isbn = 0-471-76941-X
*cite book | author = Shayle R. Searle | title = Matrix Algebra for the Biological Sciences (Series on Quantitative Methods for Biologists & Medical Scientists) | publisher = John Wiley & Sons Inc | location = | year = 1966 | pages = | isbn = 0-471-76930-4elected journal articles
;2000s
*cite journal | year = 2007 | author = Paul Cowpertwait, Graeme Wake, Robert D. Anderson, Howard Edwards, and Shayle Searle | title = Statistics and Applied Probability: A Tribute to Jeffrey J. Hunter | journal = Journal of Applied Mathematics and Decision Sciences | doi = 10.1155/2007/57619 | volume = 2007 | pages = 1
*cite journal | year = 2005 | author = Searle, Shayle R. | title = Recollections from a 50-year random walk midst matrices, statistics and computing | journal = Research Letters in the Information and Mathematical Sciences | issn = 1175-2777| volume = 8 | pages = 45–52 | url = http://www-ub.massey.ac.nz/~wwiims/research/letters/volume8/index.html
*cite journal | year = 2000 | author = Costa CN, Blake RW, Pollak EJ, Oltenacu PA, Quaas RL, Searle SR | title = Genetic analysis of Holstein cattle populations in Brazil and the United States | journal = J. Dairy Sci. | volume = 83 | issue = 12 | pages = 2963–74 | month = December| pmid = 11132868 | doi =
*cite journal | year = 2000 | author = Searle, Shayle R. | title = The infusion of matrices into statistics | journal =;1990s
*cite journal | year = 1999 | author = Searle, Shayle R. | title = Comments from thirty years of teaching matrix algebra to applied statisticians | journal =
*cite journal | year = 1998 | author = Searle, Shayle R. | title = Winning probabilities of lotto in the United States | journal = Chance, New Directions for Statistics and Computers | volume = 11 | number = 1 | pages = 20–24
*cite journal | year = 1997 | author = Searle, Shayle R. | title = Built-in restrictions on best linear unbiased predictors (BLUP) of random effects in mixed models | journal = The American Statistician | volume = 51 | pages = 19–21 | doi = 10.2307/2684686
*cite journal | year = 1997 | author = Searle, Shayle R. | title = Selecting high-producing farm animals -- With help from statistics | journal = Chance, New Directions for Statistics and Computers | volume = 10 | number = 2 | pages = 15–18
*cite journal | year = 1997 | author = Searle, Shayle R. | title = The matrix handling of BLUE and BLUP in the mixed linear model | journal = Linear Algebra and its Applications | volume = 264 | pages = 291–311 | doi = 10.1016/S0024-3795(96)00400-4
*cite journal | year = 1995 | author = McCulloch, C. E., Searle, S. R. | title = On an identity derived from unbiasedness in linear models | journal = The American Statistician | volume = 49 | pages = 39–42 | doi = 10.2307/2684809
*cite journal | year = 1995 | author = Searle, Shayle R. | title = An overview of variance component estimation | journal = Metrika | volume = 42 | pages = 215–230 | doi = 10.1007/BF01894301
*cite journal | year = 1994 | author = Searle, S. R. | title = Extending some results and proofs for the singular linear model | journal = Linear Algebra and its Applications | volume = 210 | pages = 139–151 | doi = 10.1016/0024-3795(94)90469-3
*cite journal | year = 1994 | author = Searle, Shayle R. | title = Analysis of variance computing package output for unbalanced data from fixed-effect models with nested factors (Ref: 92V46 p240) | journal = The American Statistician | volume = 48 | pages = 148–153 | doi = 10.2307/2684275
*cite journal | year = 1994 | author = Yu, Hongjian, Searle, Shayle R., McCulloch, Charles E. | title = Properties of maximum likelihood estimators of variance components in the one-way lassification, balanced data | journal = Communications in Statistics, Part B -- Simulation and Computation | volume = 23 | pages = 897–914 | doi = 10.1080/03610919408813207
*cite journal | year = 1991 | author = Searle SR | title = C. R. Henderson, the statistician; and his contributions to variance components estimation | journal = J. Dairy Sci. | volume = 74 | issue = 11 | pages = 4035–44| month = November| pmid = 1757641 | doi =
*cite journal | year = 1990 | author = Henderson, Harold V., Searle, Shayle R. | title = Generalized dispersion matrices for covariance structural analysis | journal = Linear Algebra and its Applications | volume = 127 | pages = 543–565 | doi = 10.1016/0024-3795(90)90361-F;1980s
*cite journal | year = 1989 | author = Searle, Shayle R. | title = Obituary: Charles Roy Henderson, 1911-1989 | journal = Biometrics | volume = 45 | pages = 1333–1335
*cite journal | year = 1989 | author = Searle, Shayle R. | title = Obituary: Charles Roy Henderson, 1911-1989 | journal = Bulletin of the Institute of Mathematical Statistics | volume = 18 | pages = 338–338
*cite journal | year = 1989 | author = Searle, Shayle R. | title = Statistical computing packages: Some words of caution (Com: 90V44 p263) | journal = The American Statistician | volume = 43 | pages = 189–190 | doi = 10.2307/2685064
*cite journal | year = 1988 | author = Searle, S. R. | title = Annotated computer output, Second Edition: ACO_2 | journal = The American Statistician | volume = 42 | pages = 272–272 | doi = 10.2307/2685138
*cite journal | year = 1988 | author = Searle, Shayle R. | title = Mixed models and unbalanced data: Wherefrom, whereat and whereto? | journal = Communications in Statistics, Part a -- Theory and Methods | volume = 17 | pages = 935–968 | doi = 10.1080/03610928808829667
*cite journal | year = 1988 | author = Searle, Shayle R. | title = Parallel lines in residual plots (C/R: 89V43 p129; 89V43 p187) | journal = The American Statistician | volume = 42 | pages = 211–211 | doi = 10.2307/2685008
*cite journal | year = 1986 | author = Searle, Shayle R., Pukelsheim, Friedrich | title = Effects of intraclass correlation on weighted averages | journal = The American Statistician | volume = 40 | pages = 103–105 | doi = 10.2307/2684865
*cite journal | year = 1985 | author = Searle, Shayle R., Pukelsheim, Friedrich | title = Establishing chi^2 properties of sums of squares using induction | journal = The American Statistician | volume = 39 | pages = 301–303 | doi = 10.2307/2683710
*cite journal | year = 1984 | author = Anderson, R. D., Henderson, H. V., Pukelsheim, F., Searle, S. R. | title = Best estimation of variance components from balanced data, with arbitrary kurtosis | journal = Mathematische Operationsforschung und Statistik, Series Statistics | volume = 15 | pages = 163–176
*cite journal | year = 1984 | author = Manfredi EJ, Everett RW, Searle SR | title = Phenotypic and genetic statistics of components of milk and two measures of somatic cell concentration | journal = J. Dairy Sci. | volume = 67 | issue = 9 | pages = 2028–33 | month = September| pmid = 6541666 | doi =
*cite journal | year = 1984 | author = Searle, S. R. | title = Restrictions and generalized inverses in linear models | journal = The American Statistician | volume = 38 | pages = 53–54 | doi = 10.2307/2683560
*cite journal | year = 1984 | author = Searle, Shayle R., Swallow, William H., McCulloch, Charles E. | title = Nontestable hypotheses in linear models | journal = SIAM Journal of Algebraic and Discrete Methods | volume = 5 | pages = 486–496 | doi = 10.1137/0605047
*cite journal | year = 1983 | author = Searle, S. R., Henderson, Harold V. | title = Faults in a computing algorithm for reparameterizing linear models | journal = Communications in Statistics, Part B -- Simulation and Computation | volume = 12 | pages = 67–76 | doi = 10.1080/03610918308812300
*cite journal | year = 1983 | author = Searle, S. R., Hudson, G. F. S., Federer, W. T. | title = Annotated computer output for analysis of covariance | journal = The American Statistician | volume = 37 | pages = 172–173 | doi = 10.2307/2685886
*cite journal | year = 1983 | author = Searle, Shayle R. | title = The recurrence formulae for means and variances | journal = Teaching Statistics | volume = 5 | pages = 7–10 | doi = 10.1111/j.1467-9639.1983.tb00481.x
*cite journal | year = 1982 | author = Searle, S. R., Hudson, G. F. S. | title = Some distinctive features of output from statistical computing packages for analysis of covariance | journal = Biometrics | volume = 38 | pages = 737–745 | doi = 10.2307/2530053
*cite journal | year = 1981 | author = Henderson, H.V. and Searle, S.R. | title = On deriving the inverse of a sum of matrices | journal = SIAM Review | volume = 23 | number = 1 | pages = 53–60 | doi = 10.1137/1023004
*cite journal | year = 1981 | author = Henderson, H.V. and Searle, SR | title = The vec-permutation matrix, the vec operator and Kronecker products: a review | journal = Linear and Multilinear Algebra | volume = 9 | number = 4 | pages = 271–288 | doi = 10.1080/03081088108817379
*cite journal | year = 1981 | author = Searle, S. R. | title = Annotated computer output for variance components | journal = The American Statistician | volume = 35 | pages = 111–112 | doi = 10.2307/2683158
*cite journal | year = 1981 | author = Searle, S. R., Speed, F. M., Henderson, H. V. | title = Some computational and model equivalences in analyses of variance of unequal-subclass-numbers data | journal = The American Statistician | volume = 35 | pages = 16–33 | doi = 10.2307/2683578
*cite journal | year = 1980 | author = Searle, S. R. | title = Arbitrary hypotheses in linear models with unbalanced data | journal = Communications in Statistics, Part a -- Theory and Methods | volume = 9 | pages = 181–200 | doi = 10.1080/03610928008827870
*cite journal | year = 1980 | author = Searle, S. R., Firey, P. A. | title = Computer generation of data sets for homework exercises in simple regression | journal = The American Statistician | volume = 34 | pages = 51–54 | doi = 10.2307/2682999
*cite journal | year = 1980 | author = Searle, S. R., Speed, F. M., Milliken, G. A. | title = Population marginal means in the linear model: An alternative to least squares means | journal = The American Statistician | volume = 34 | pages = 216–221 | doi = 10.2307/2684063;1970s
*cite journal | year = 1979 | author = Henderson, Harold V., Searle, S. R. | title = Vec and vech operators for matrices, with some uses in Jacobians and multivariate statistics | journal = The Canadian Journal of Statistics | volume = 7 | pages = 65–81 | doi = 10.2307/3315017
*cite journal | year = 1979 | author = Searle, S. R. | title = Alternative covariance models for the 2-way crossed classification | journal = Communications in Statistics, Part a -- Theory and Methods | volume = 8 | pages = 799–818 | doi = 10.1080/03610927908827800
*cite journal | year = 1979 | author = Searle, S. R. | title = Annotated computer output for analysis of variance of unequal-subclass-numbers data | journal = The American Statistician | volume = 33 | pages = 222–223 | doi = 10.2307/2683742
*cite journal | year = 1979 | author = Searle, S. R. | title = Discussion of H. Ahrens' ``An invariance property for first and second order moments of stimated variance-covariance components" (19th Session on Stochastics) | journal = Biometrical Journal. Journal of Mathematical Methods in Biosciences. [Continues: iometrische Zeitschrift. Zeitschrift für mathematische Methoden in den Biowissenschaften] | volume = 21 | pages = 389–398
*cite journal | year = 1979 | author = Searle, S. R., Henderson, Harold V. | title = Dispersion matrices for variance components models | journal = Journal of the American Statistical Association | volume = 74 | pages = 465–470 | doi = 10.2307/2286357
*cite journal | year = 1978 | author = Swallow, William H., Searle, S. R. | title = Minimum variance quadratic unbiased estimation (MIVQUE) of variance components | journal = Technometrics | volume = 20 | pages = 265–272 | doi = 10.2307/1268135
*cite journal | year = 1977 | author = Searle, S. R. | title = Proof | journal = International Journal of Mathematical Education in Science and Technology | volume = 8 | pages = 185–192 | doi = 10.1080/0020739770080207
*cite journal | year = 1976 | author = Corbeil, R. R., Searle, S. R. | title = A comparison of variance component estimators | journal = Biometrics | volume = 32 | pages = 779–791 | doi = 10.2307/2529264
*cite journal | year = 1976 | author = Corbeil, R. R., Searle, S. R. | title = Restricted maximum likelihood (REML) estimation of variance components in the mixed model | journal = Technometrics | volume = 18 | pages = 31–38 | doi = 10.2307/1267913
*cite journal | year = 1974 | author = Henderson, C. R., Searle, S. R., Schaeffer, L. R. | title = The invariance and calculation of Method 2 for estimating variance components | journal = Biometrics | volume = 30 | pages = 583–588 | doi = 10.2307/2529223
*cite journal | year = 1974 | author = Searle, S. R., Rounsaville, T. R. | title = A note on estimating covariance | journal = The American Statistician | volume = 28 | pages = 67–68 | doi = 10.2307/2683606
*cite journal | year = 1973 | author = Searle, S. R. | title = On publishing extended abstracts and reviews | journal = The American Statistician | volume = 27 | pages = 155–157 | doi = 10.2307/2684045
*cite journal | year = 1971 | author = Rudan, J. W., Searle, S. R. | title = Large sample variances of maximum likelihood estimators of variance components in the 3-way ested classification, random model, with unbalanced data | journal = Biometrics | volume = 27 | pages = 1087–1091 | doi = 10.2307/2528844
*cite journal | year = 1971 | author = Searle, S. R. | title = Topics in variance component estimation (Com: V27 p750) | journal = Biometrics | volume = 27 | pages = 1–76 | doi = 10.2307/2528928
*cite journal | year = 1971 | author = Townsend, E. C., Searle, S. R. | title = Best quadratic unbiased estimation of variance components from unbalanced data in the 1-way lassification | journal = Biometrics | volume = 27 | pages = 643–657 | doi = 10.2307/2528602
*cite journal | year = 1970 | author = Searle, S. R. | title = Large sample variances of maximum likelihood estimators of variance components using nbalanced data | journal = Biometrics | volume = 26 | pages = 505–524 | doi = 10.2307/2529105
*cite journal | year = 1970 | author = Searle, S. R., Fawcett, R. F. | title = Expected mean squares in variance components models having finite populations | journal = Biometrics | volume = 26 | pages = 243–254 | doi = 10.2307/2529072;1960s
*cite journal | year = 1969 | author = Hartley, H. O., Searle, S. R. | title = A discontinuity in mixed model analysis | journal = Biometrics | volume = 25 | pages = 573–576 | doi = 10.2307/2528909
*cite journal | year = 1969 | author = Searle, S. R. | title = Correlation between means of parts and wholes (Ref: 68V22/4 p41) | journal = The American Statistician | volume = 23 | number = 2 | pages = 23–24 | doi = 10.2307/2681294
*cite journal | year = 1968 | author = Searle, S. R. | title = A remark on solving equations in sums of powers | journal = Journal of the Royal Statistical Society, Series B, Methodological | volume = 30 | pages = 567–569
*cite journal | year = 1968 | author = Searle, S. R. | title = Another look at Henderson's methods of estimating variance components | journal = Biometrics | volume = 24 | pages = 749–778 | doi = 10.2307/2528870
*cite journal | year = 1965 | author = Searle, S. R. | title = The value of indirect selection: I. Mass selection | journal = Biometrics | volume = 21 | issue = 3 | pages = 682–707| month = September | pmid = 5858099 | doi = 10.2307/2528550
*cite journal | year = 1965 | author = Searle, S. R. | title = Additional results concerning estimable functions and generalized inverse matrices | journal = Journal of the Royal Statistical Society, Series B, Methodological | volume = 27 | pages = 486–490
*cite journal | year = 1963 | author = Searle SR | title = The efficiency of ancestor records in animal selection | journal = Heredity | volume = 18 | issue = | pages = 351–60 | month = August | pmid = 14058937 | doi = | url =
*cite journal | year = 1961 | author = Searle, S. R. | title = Variance components in the unbalanced 2-way nested classification | journal = The Annals of Mathematical Statistics | volume = 32 | pages = 1161–1166 | doi = 10.1214/aoms/1177704854
*cite journal | year = 1961 | author = Searle, S. R., Henderson, C. R. | title = Computing procedures for estimating components of variance in the two-way classification, mixed model (Corr: V23 p852-853) | journal = Biometrics | volume = 17 | pages = 607–616 | doi = 10.2307/2527859
*cite journal | year = 1960 | author = Searle, SR and Henderson, CR | title = Judging the Effectiveness of Age-Correction Factors | journal = Journal of Dairy Science | volume = 43 | number = 7 | pages = 966
*cite journal | year = 1960 | author = VanVleck, LD and Searle, SR and Henderson, CR | title = The Number of Daughter-Dam Pairs Needed for Estimating Heritability | journal = Journal of Animal Science | volume = 19 | number = 3 | pages = 916;1950s
*cite journal | year = 1959 | author = Henderson, C.R. and Kempthorne, O. and Searle, S.R. and von Krosigk, CM | title = The estimation of environmental and genetic trends from records subject to culling | journal = Biometrics | volume = 15 | number = 2 | pages = 192–218 | doi = 10.2307/2527669
*cite journal | year = 1959 | author = Searle, SR | title = Use of the Selection Index Method to Account for the Number of Daughters and Records in Progeny-Testing a Dairy Bull | journal = Journal of Dairy Science | volume = 42 | number = 10 | pages = 1666
*cite journal | year = 1959 | author = Searle, SR and Henderson, CR | title = Establishing Age-Correction Factors Related to the Level of Herd Production | journal = Journal of Dairy Science | volume = 42 | number = 5 | pages = 824
*cite journal | year = 1958 | author = Searle, SR | title = Sampling variances of estimates of variance components | journal = Annals of Mathematical Statistics | volume = 29 | pages = 167–178 | doi = 10.1214/aoms/1177706713
*cite journal | year = 1957 | author = Castle, OM and Searle, SR | title = Repeatability of Dairy Cow Butterfat Records in New Zealand | journal = Journal of Dairy Science | volume = 40 | number = 10 | pages = 1277
*cite journal | year = 1956 | author = Callow, EH and Searle, SR | title = Comparative studies of meat. V. Factors affecting iodine numbers of fat from the fatty and muscular tissue of cattle | journal = J. Agr. Sci | volume = 48 | pages = 61
*cite journal | year = 1956 | author = Searle, SR | title = Matrix methods in components of variance and covariance analysis | journal = Annals of Mathematical Statistics | volume = 27 | pages = 737–748 | doi = 10.1214/aoms/1177728180References
*cite press release | date =
2000-01-27 | title = Royal Society of New Zealand elects Shayle Searle, Cornell statistics professor, honorary fellow | publisher =Cornell University | url = http://www.news.cornell.edu/releases/Jan00/Searle.bpf.html
*cite web | url = http://www.cit.cornell.edu/computer/history/Searle.html | title = Oral and Personal Histories of Computing at Cornell | author = Shayle Searle | publisher = Office of Information Technologies, Cornell University | date = 1968
*cite journal | year = 2005 | author = Searle, Shayle R. | title = Recollections from a 50-year random walk midst matrices, statistics and computing | journal = Research Letters in the Information and Mathematical Sciences | issn = 1175-2777| volume = 8 | pages = 45–52 | url = http://www-ub.massey.ac.nz/~wwiims/research/letters/volume8/index.htmlExternal links
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