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
- Shayle R. Searle (2009). The Collected Works of Shayle R. Searle. New York: Wiley. ISBN 0-470-55606-4.
- Neuhaus, John William; McCulloch, Charles E.; Shayle R. Searle (2008). Generalized, Linear, and Mixed Models (Wiley Series in Probability and Statistics). New York: Wiley-Interscience. ISBN 0-470-07371-3.
- Shayle R. Searle (2006). Linear Models for Unbalanced Data (Wiley Series in Probability and Statistics). New York: Wiley-Interscience. ISBN 0-470-04004-1.
- McCulloch, Charles E.; Shayle R. Searle; Casella, George (2006). Variance Components (Wiley Series in Probability and Statistics). New York: Wiley-Interscience. ISBN 0-470-00959-4.
- Shayle R. Searle (2006). Matrix Algebra Useful for Statistics (Wiley Series in Probability and Statistics). New York: Wiley-Interscience. ISBN 0-470-00961-6.
- Willett, Lois Schertz; Searle, S. R. (2001). Matrix algebra for applied economics. Chichester: John Wiley & Sons. ISBN 0-471-32207-5.
- Searle, S. R. (1971). Linear models. New York: Wiley. ISBN 0-471-18499-3.
- Hausman, Warren H.; Searle, S. R. (1970). Matrix algebra for business and economics. New York: Wiley-Interscience. ISBN 0-471-76941-X.
- Shayle R. Searle (1966). Matrix Algebra for the Biological Sciences (Series on Quantitative Methods for Biologists & Medical Scientists). John Wiley & Sons Inc. ISBN 0-471-76930-4.
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. doi:10.1155/2007/57619.
- Searle, SR (2005). "Recollections from a 50-year random walk midst matrices, statistics and computing". Research Letters in the Information and Mathematical Sciences 8: 45–52. ISSN 1175-2777. http://www-ub.massey.ac.nz/~wwiims/research/letters/volume8/index.html.
- Costa CN, Blake RW, Pollak EJ, Oltenacu PA, Quaas RL, Searle SR (December 2000). "Genetic analysis of Holstein cattle populations in Brazil and the United States". J. Dairy Sci. 83 (12): 2963–74. doi:10.3168/jds.S0022-0302(00)75196-4. PMID 11132868.
- Searle, SR (2000). "The infusion of matrices into statistics". The Bulletin of the International Linear Algebra Society 24: 25–32.
- 1990s
- Searle, SR (1999). "Comments from thirty years of teaching matrix algebra to applied statisticians". The Bulletin of the International Linear Algebra Society (22): 3–5.
- Searle, SR (1998). "Winning probabilities of lotto in the United States". Chance, New Directions for Statistics and Computers 11 (1): 20–24.
- Searle, SR (1997). "Built-in restrictions on best linear unbiased predictors (BLUP) of random effects in mixed models". The American Statistician (American Statistical Association) 51 (1): 19–21. doi:10.2307/2684686. JSTOR 2684686.
- Searle, SR (1997). "Selecting high-producing farm animals -- With help from statistics". Chance, New Directions for Statistics and Computers 10 (2): 15–18.
- Searle, SR (1997). "The matrix handling of BLUE and BLUP in the mixed linear model". Linear Algebra and its Applications 264: 291–311. doi:10.1016/S0024-3795(96)00400-4.
- McCulloch, C. E., Searle, SR (1995). "On an identity derived from unbiasedness in linear models". The American Statistician (American Statistical Association) 49 (1): 39–42. doi:10.2307/2684809. JSTOR 2684809.
- Searle, SR (1995). "An overview of variance component estimation". Metrika 42: 215–230. doi:10.1007/BF01894301.
- Searle, SR (1994). "Extending some results and proofs for the singular linear model". Linear Algebra and its Applications 210: 139–151. doi:10.1016/0024-3795(94)90469-3.
- Searle, SR (1994). "Analysis of variance computing package output for unbalanced data from fixed-effect models with nested factors (Ref: 92V46 p240)". The American Statistician (American Statistical Association) 48 (2): 148–153. doi:10.2307/2684275. JSTOR 2684275.
- Yu, Hongjian, Searle, SR, 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 (4): 897–914. doi:10.1080/03610919408813207.
- Searle SR (November 1991). "CR Henderson, the statistician; and his contributions to variance components estimation". J. Dairy Sci. 74 (11): 4035–44. doi:10.3168/jds.S0022-0302(91)78599-8. PMID 1757641.
- Henderson, HV, Searle, SR (1990). "Generalized dispersion matrices for covariance structural analysis". Linear Algebra and its Applications 127: 543–565. doi:10.1016/0024-3795(90)90361-F.
- 1980s
- Searle, SR (1989). "Obituary: Charles Roy Henderson, 1911-1989". Biometrics 45: 1333–1335. JSTOR 2531789.
- Searle, SR (1989). "Obituary: Charles Roy Henderson, 1911-1989". Bulletin of the Institute of Mathematical Statistics 18: 338–338.
- Searle, SR (1989). "Statistical computing packages: Some words of caution (Com: 90V44 p263)". The American Statistician (American Statistical Association) 43 (3): 189–190. doi:10.2307/2685064. JSTOR 2685064.
- Searle, SR (1988). "Annotated computer output, Second Edition: ACO_2". The American Statistician (American Statistical Association) 42 (4): 272–272. doi:10.2307/2685138. JSTOR 2685138.
- Searle, SR (1988). "Mixed models and unbalanced data: Wherefrom, whereat and whereto?". Communications in Statistics, Part a -- Theory and Methods 17 (4): 935–968. doi:10.1080/03610928808829667.
- Searle, SR (1988). "Parallel lines in residual plots". The American Statistician (American Statistical Association) 42 (3): 211–211. doi:10.2307/2685008. JSTOR 2685008.
- Searle, SR (1988). "Best linear unbiased estimation in mixed models of the analysis of variance". In J. Srivastava. Probability and Statistics Essays in Honor of Franklin A. Graybill. Amsterdam: North-Holland.
- Mcculloch, C.E., Schwager, S.J., Casella,G. and Searle, SR, ed (1986). Statistical Design: Theory and Practice: Proc. of a Conference in Honor of Walter T. Federer.. Ithaca, NY: Cornell University.
- Searle, SR, Pukelsheim, Friedrich (1986). "Effects of intraclass correlation on weighted averages". The American Statistician (American Statistical Association) 40 (2): 103–105. doi:10.2307/2684865. JSTOR 2684865.
- Searle, SR, Pukelsheim, Friedrich (1985). "Establishing chi^2 properties of sums of squares using induction". The American Statistician (American Statistical Association) 39 (4): 301–303. doi:10.2307/2683710. JSTOR 2683710.
- Anderson, R. D., Henderson, HV, Pukelsheim, F., Searle, SR (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 (September 1984). "Phenotypic and genetic statistics of components of milk and two measures of somatic cell concentration". J. Dairy Sci. 67 (9): 2028–33. doi:10.3168/jds.S0022-0302(84)81539-8. PMID 6541666.
- Searle, SR (1984). "Restrictions and generalized inverses in linear models". The American Statistician (American Statistical Association) 38 (1): 53–54. doi:10.2307/2683560. JSTOR 2683560.
- Searle, SR, Swallow, William H., McCulloch, Charles E. (1984). "Nontestable hypotheses in linear models". SIAM Journal of Algebraic and Discrete Methods 5 (4): 486–496. doi:10.1137/0605047.
- Searle, SR, Henderson, HV (1983). "Faults in a computing algorithm for reparameterizing linear models". Communications in Statistics, Part B -- Simulation and Computation 12: 67–76. doi:10.1080/03610918308812300.
- Searle, SR, Hudson, G. F. S., Federer, W. T. (1983). "Annotated computer output for analysis of covariance". The American Statistician (American Statistical Association) 37 (2): 172–173. doi:10.2307/2685886. JSTOR 2685886.
- Searle, SR (1983). "The recurrence formulae for means and variances". Teaching Statistics 5: 7–10. doi:10.1111/j.1467-9639.1983.tb00481.x.
- Searle, SR, Hudson, G. F. S. (1982). "Some distinctive features of output from statistical computing packages for analysis of covariance". Biometrics (International Biometric Society) 38 (3): 737–745. doi:10.2307/2530053. JSTOR 2530053.
- Henderson, HV and Searle, SR (1981). "On deriving the inverse of a sum of matrices". SIAM Review 23 (1): 53–60. doi:10.1137/1023004.
- Henderson, HV and Searle, SR (1981). "The vec-permutation matrix, the vec operator and Kronecker products: a review". Linear and Multilinear Algebra 9 (4): 271–288. doi:10.1080/03081088108817379.
- Searle, SR (1981). "Annotated computer output for variance components". The American Statistician (American Statistical Association) 35 (2): 111–112. doi:10.2307/2683158. JSTOR 2683158.
- Searle, SR, Speed, F. M., Henderson, HV (1981). "Some computational and model equivalences in analyses of variance of unequal-subclass-numbers data". The American Statistician (American Statistical Association) 35 (1): 16–33. doi:10.2307/2683578. JSTOR 2683578.
- Searle, SR (1981). "Quirks in linear model calculations with unbalanced data". Proceedings of the Sixth Annual SAS Users Group International Conference: 38–45.
- Searle, SR (1980). "Arbitrary hypotheses in linear models with unbalanced data". Communications in Statistics, Part a -- Theory and Methods 9 (2): 181–200. doi:10.1080/03610928008827870.
- Searle, SR, Firey, P. A. (1980). "Computer generation of data sets for homework exercises in simple regression". The American Statistician (American Statistical Association) 34 (1): 51–54. doi:10.2307/2682999. JSTOR 2682999.
- Searle, SR, Speed, F. M., Milliken, G. A. (1980). "Population marginal means in the linear model: An alternative to least squares means". The American Statistician (American Statistical Association) 34 (4): 216–221. doi:10.2307/2684063. JSTOR 2684063.
- 1970s
- Henderson, HV, Searle, SR (1979). "Vec and vech operators for matrices, with some uses in Jacobians and multivariate statistics". The Canadian Journal of Statistics (Statistical Society of Canada) 7 (1): 65–81. doi:10.2307/3315017. JSTOR 3315017.
- Searle, SR (1979). "Alternative covariance models for the 2-way crossed classification". Communications in Statistics, Part a -- Theory and Methods 8 (8): 799–818. doi:10.1080/03610927908827800.
- Searle, SR (1979). "Annotated computer output for analysis of variance of unequal-subclass-numbers data". The American Statistician (American Statistical Association) 33 (4): 222–223. doi:10.2307/2683742. JSTOR 2683742.
- Searle, SR (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, SR, Henderson, HV (1979). "Dispersion matrices for variance components models". Journal of the American Statistical Association (American Statistical Association) 74 (366): 465–470. doi:10.2307/2286357. JSTOR 2286357.
- Swallow, William H., Searle, SR (1978). "Minimum variance quadratic unbiased estimation (MIVQUE) of variance components". Technometrics (American Society for Quality) 20 (3): 265–272. doi:10.2307/1268135. JSTOR 1268135.
- Searle, SR (1977). "Proof". International Journal of Mathematical Education in Science and Technology 8 (2): 185–192. doi:10.1080/0020739770080207.
- Corbeil, R. R., Searle, SR (1976). "A comparison of variance component estimators". Biometrics (International Biometric Society) 32 (4): 779–791. doi:10.2307/2529264. JSTOR 2529264.
- Corbeil, R. R., Searle, SR (1976). "Restricted maximum likelihood (REML) estimation of variance components in the mixed model". Technometrics (American Society for Quality) 18 (1): 31–38. doi:10.2307/1267913. JSTOR 1267913.
- Henderson, CR, Searle, SR, Schaeffer, L. R. (1974). "The invariance and calculation of Method 2 for estimating variance components". Biometrics (International Biometric Society) 30 (4): 583–588. doi:10.2307/2529223. JSTOR 2529223.
- Searle, SR, Rounsaville, T. R. (1974). "A note on estimating covariance". The American Statistician (American Statistical Association) 28 (2): 67–68. doi:10.2307/2683606. JSTOR 2683606.
- Searle, SR (1973). "On publishing extended abstracts and reviews". The American Statistician (American Statistical Association) 27 (4): 155–157. doi:10.2307/2684045. JSTOR 2684045.
- Rudan, J. W., Searle, SR (1971). "Large sample variances of maximum likelihood estimators of variance components in the 3-way ested classification, random model, with unbalanced data". Biometrics (International Biometric Society) 27 (4): 1087–1091. doi:10.2307/2528844. JSTOR 2528844.
- Searle, SR (1971). "Topics in variance component estimation (Com: V27 p750)". Biometrics (International Biometric Society) 27 (1): 1–76. doi:10.2307/2528928. JSTOR 2528928.
- Townsend, E. C., Searle, SR (1971). "Best quadratic unbiased estimation of variance components from unbalanced data in the 1-way lassification". Biometrics (International Biometric Society) 27 (3): 643–657. doi:10.2307/2528602. JSTOR 2528602.
- Searle, SR (1970). "Large sample variances of maximum likelihood estimators of variance components using nbalanced data". Biometrics (International Biometric Society) 26 (3): 505–524. doi:10.2307/2529105. JSTOR 2529105.
- Searle, SR, Fawcett, R. F. (1970). "Expected mean squares in variance components models having finite populations". Biometrics (International Biometric Society) 26 (2): 243–254. doi:10.2307/2529072. JSTOR 2529072.
- 1960s
- Hartley, H. O., Searle, SR (1969). "A discontinuity in mixed model analysis". Biometrics (International Biometric Society) 25 (3): 573–576. doi:10.2307/2528909. JSTOR 2528909.
- Searle, SR (1969). "Correlation between means of parts and wholes (Ref: 68V22/4 p41)". The American Statistician (American Statistical Association) 23 (2): 23–24. doi:10.2307/2681294. JSTOR 2681294.
- Searle, SR (1968). "A remark on solving equations in sums of powers". Journal of the Royal Statistical Society, Series B, Methodological 30: 567–569.
- Searle, SR (1968). "Another look at Henderson's methods of estimating variance components". Biometrics (International Biometric Society) 24 (4): 749–778. doi:10.2307/2528870. JSTOR 2528870.
- Searle, SR (September 1965). "The value of indirect selection: I. Mass selection". Biometrics (International Biometric Society) 21 (3): 682–707. doi:10.2307/2528550. JSTOR 2528550. PMID 5858099.
- Searle, SR (1965). "Additional results concerning estimable functions and generalized inverse matrices". Journal of the Royal Statistical Society, Series B, Methodological 27: 486–490.
- Searle SR (August 1963). "The efficiency of ancestor records in animal selection". Heredity 18 (3): 351–60. doi:10.1038/hdy.1963.35. PMID 14058937.
- Searle, SR (1961). "Variance components in the unbalanced 2-way nested classification". The Annals of Mathematical Statistics 32 (4): 1161–1166. doi:10.1214/aoms/1177704854.
- Searle, SR, Henderson, CR (1961). "Computing procedures for estimating components of variance in the two-way classification, mixed model (Corr: V23 p852-853)". Biometrics (International Biometric Society) 17 (4): 607–616. doi:10.2307/2527859. JSTOR 2527859.
- Searle, SR and Henderson, CR (1960). "Judging the Effectiveness of Age-Correction Factors". Journal of Dairy Science 43 (7): 966. doi:10.3168/jds.S0022-0302(60)90260-5.
- VanVleck, LD and Searle, SR and Henderson, CR (1960). "The Number of Daughter-Dam Pairs Needed for Estimating Heritability". Journal of Animal Science 19 (3): 916.
- 1950s
- Henderson, C.R. and Kempthorne, O. and Searle, SR and von Krosigk, CM (1959). "The estimation of environmental and genetic trends from records subject to culling". Biometrics (International Biometric Society) 15 (2): 192–218. doi:10.2307/2527669. JSTOR 2527669.
- 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 (10): 1666. doi:10.3168/jds.S0022-0302(59)90785-4.
- Searle, SR and Henderson, CR (1959). "Establishing Age-Correction Factors Related to the Level of Herd Production". Journal of Dairy Science 42 (5): 824. doi:10.3168/jds.S0022-0302(59)90659-9.
- Searle, SR (1958). "Sampling variances of estimates of variance components". Annals of Mathematical Statistics 29: 167–178. doi:10.1214/aoms/1177706713.
- Castle, OM and Searle, SR (1957). "Repeatability of Dairy Cow Butterfat Records in New Zealand". Journal of Dairy Science 40 (10): 1277. doi:10.3168/jds.S0022-0302(57)94626-X.
- 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. doi:10.1017/S002185960003032X.
- Searle, SR (1956). "Matrix methods in components of variance and covariance analysis". Annals of Mathematical Statistics 27 (3): 737–748. doi:10.1214/aoms/1177728180.
- Searle, SR (1951). "Probability: difficulties of definition.". Journal of Institute of Actuaries Students' Society: 204–212.
References
External links
| Persondata |
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Searle, Shayle R |
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| Date of birth |
1928 |
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