# zbMATH — the first resource for mathematics

## Cochran, William Gemmell

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 Author ID: cochran.william-gemmell Published as: Cochran, W.; Cochran, W. G.; Cochran, William; Cochran, William G.; Cochran, Williams G.; Kochran, William G. External Links: MGP · Wikidata · GND
 Documents Indexed: 69 Publications since 1934, including 9 Books Biographic References: 6 Publications
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#### Co-Authors

 54 single-authored 2 Bliss, Chester I. 2 Cox, Gertrude M. 1 Alexander, Philipp 1 Campbell, Michael G. 1 Crick, F. H. C. 1 Douglas, Andrew S. 1 Dyer, H. B. 1 Fiedler, Robert 1 Guoy, Damrong 1 Hartley, Hermann Otto 1 Hopkins, Carl E. 1 Jiao, Xiangmin 1 Kaplan, Jack S. 1 Kuo, Hui-Hsiung 1 Lipson, Henry 1 Rao, Jonnagadda Nalini Kanth 1 Rao, Poduri S. R. S. 1 Rubin, Donald Bruce 1 Sengupta, Ambar N. 1 Shaffer, Eric 1 Snedecor, George Waddel 1 Suriyamongkol, Pornput 1 Tukey, John Wilder 1 Vand, V. 1 Wilmarth, Terry
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#### Serials

 8 Annals of Mathematical Statistics 7 Journal of the American Statistical Association 5 Supplement to the Journal of the Royal Statistical Society 5 Acta Crystallographica 4 Biometrics 3 Proceedings of the Cambridge Philosophical Society 2 Biometrika 2 Sankhyā. Series A. Methods and Techniques 2 Technometrics 2 Bulletin de l’Institut International de Statistique 2 Journal of the Royal Statistical Society 2 Annals of Eugenics 1 Annals of the Institute of Statistical Mathematics 1 Journal of the Royal Statistical Society. Series B 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Trabajos de Estadística 1 Wiley Series in Probability and Mathematical Statistics
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#### Fields

 11 Statistics (62-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH

52 Publications have been cited 1,657 times in 1,478 Documents Cited by Year
Sampling techniques. 3rd ed. Zbl 0353.62011
Cochran, William G.
1977
Sampling techniques. Zbl 0051.10707
Cochran, W. G.
1953
Some methods for strengthening the common $$\chi^2$$ tests. Zbl 0059.12803
Cochran, William G.
1954
Experimental designs. 2nd ed. Zbl 0077.13205
Cochran, William G.; Cox, Gertrude M.
1957
Statistical methods. 8th ed. Zbl 0727.62003
Snedecor, George W.; Cochran, William G.
1989
The flow due to a rotating disc. JFM 60.0729.08
Cochran, W. G.
1934
The $$\chi^ 2$$-test of goodness of fit. Zbl 0047.13105
Cochran, William G.
1952
On a simple procedure of unequal probability sampling without replacement. Zbl 0112.10901
Rao, J. N. K.; Hartley, H. O.; Cochran, W. G.
1962
The combination of estimates from different experiments. Zbl 0059.12505
Kochran, William G.
1954
Errors of measurement in statistics. Zbl 0177.46503
Cochran, W. G.
1968
Relative accuracy of systematic and stratified random samples for a certain class of populations. Zbl 0063.00940
Cochran, W. G.
1946
The distribution of quadratic forms in a normal system, with applications to the analysis of covariance. Zbl 0009.12004
Cochran, W. G.
1934
Controlling bias in observational studies: a review. Zbl 0291.62012
Cochran, William G.; Rubin, Donald B.
1973
The distribution of quadratic forms in a normal system, with applications to the analysis of covariance. JFM 60.0465.04
Cochran, W. G.
1934
Estimators for the one-way random effects model with unequal error variances. Zbl 0463.62065
Rao, Poduri S. R. S.; Kaplan, Jack; Cochran, William G.
1981
Problems arising in the analysis of a series of similar experiments. Zbl 0019.13003
Cochran, W. G.
1937
The comparison of percentages in matched samples. Zbl 0040.22203
Cochran, W. G.
1950
Experimental designs. 2nd ed. 1st corr. printing. Zbl 0850.62005
Cochran, Williams G.; Cox, Gertrude M.
1992
The omission or addition of an independent variate in multiple linear regression. Zbl 0019.31902
Cochran, W. G.
1938
A new class of white noise generalized functions. Zbl 0918.60027
Cochran, W. G.; Kuo, H.-H.; Sengupta, A.
1998
Discriminant functions with covariance. Zbl 0031.37103
Cochran, W. G.; Bliss, C. I.
1948
The distribution of the largest of a set of estimated variances as a fraction of their total. Zbl 0063.00936
Cochran, W. G.
1941
Comparison of two methods of handling covariates in discriminatory analysis. Zbl 0223.62076
Cochran, William G.
1964
Problems arising in the analysis of a series of similar experiments. JFM 63.1101.01
Cochran, W. G.
1937
Some classification problems with multivariate qualitative data. Zbl 0099.13901
Cochran, William G.; Hopkins, Carl E.
1961
Sampling theory when the sampling-units are of unequal sizes. Zbl 0063.00937
Cochran, W. G.
1942
The analysis of variance when experimental errors follow the Poisson or binomial laws. Zbl 0023.34104
Cochran, W. G.
1940
The use of the analysis of variance in enumeration by sampling. Zbl 0023.14901
Cochran, W. G.
1939
Approximate significance levels of the Behrens-Fisher test. Zbl 0119.35301
Cochran, William G.
1964
Note on an approximate formula for the significance levels of $$z$$. Zbl 0063.00935
Cochran, W. G.
1940
A test of a linear function of the deviations between observed and expected numbers. Zbl 0064.38801
Cochran, William G.
1955
The structure of synthetic polypeptides. I: The transform of atoms on a helix. Zbl 0049.43702
Cochran, W.; Crick, F. H. C.; Vand, V.
1952
Recent advances in mathematical statistics. Recent work on the analysis of variance. Zbl 0018.32104
Cochran, W. G.
1938
The omission or addition of an independent variate in multiple linear regression. JFM 64.1214.02
Cochran, W. G.
1938
Some effects of errors of measurement in multiple correlation. Zbl 0184.42802
Cochran, W. G.
1970
The determination of crystal structures. Zbl 0053.18003
Lipson, H.; Cochran, W.
1953
The present status of biometry. Zbl 0041.26506
Cochran, William G.
1950
Analysis of variance for percentages based on unequal numbers. Zbl 0063.00939
Cochran, W. G.
1943
The comparison of different scales of measurement for experimental results. Zbl 0060.31610
Cochran, W. G.
1943
The $$\chi^2$$ correction for continuity. Zbl 0063.00938
Cochran, W. G.
1942
The efficiencies of the binomial series tests of significance of a mean and of a correlation coefficient. JFM 63.1108.03
Cochran, W. G.
1937
The $$\chi^2$$ distribution for the binomial and Poisson series, with small expectations. JFM 62.1344.02
Cochran, W. G.
1936
Parallel mesh adaptation for highly evolving geometries with application to solid propellant rockets. Zbl 1134.65319
Guoy, Damrong; Wilmarth, Terry; Alexander, Philipp; Jiao, Xiangmin; Campbell, Michael; Shaffer, Eric; Fiedler, Robert; Cochran, William; Suriyamongkol, Pornput
2008
Contributions to statistics. With a foreword by Frederick Mosteller. Zbl 0584.01024
Cochran, William G.
1982
On the performance of the linear discriminant function. Zbl 0124.34804
Cochran, William G.
1964
On the performance of the linear discriminant functions. Zbl 0201.52402
Cochran, William G.
1962
Crystal stability and the theory of ferroelectricity. Zbl 0108.44904
Cochran, W.
1960
A rejection criterion based upon the range. Zbl 0074.13101
Bliss, C. I.; Cochran, W. G.; Tukey, John. W.
1956
Some practical applications of generalized crystal-structure projections. Zbl 0049.43701
Cochran, W.; Dyer, H. B.
1952
The symmetry of real periodic two-dimensional functions. Zbl 0049.43602
Cochran, W.
1952
Recent developments in sampling theory in the United States. Zbl 0041.25805
Cochran, W. G.
1947
The statistical analysis of field counts of diseased plants. JFM 63.1101.02
Cochran, W. G.
1936
Parallel mesh adaptation for highly evolving geometries with application to solid propellant rockets. Zbl 1134.65319
Guoy, Damrong; Wilmarth, Terry; Alexander, Philipp; Jiao, Xiangmin; Campbell, Michael; Shaffer, Eric; Fiedler, Robert; Cochran, William; Suriyamongkol, Pornput
2008
A new class of white noise generalized functions. Zbl 0918.60027
Cochran, W. G.; Kuo, H.-H.; Sengupta, A.
1998
Experimental designs. 2nd ed. 1st corr. printing. Zbl 0850.62005
Cochran, Williams G.; Cox, Gertrude M.
1992
Statistical methods. 8th ed. Zbl 0727.62003
Snedecor, George W.; Cochran, William G.
1989
Contributions to statistics. With a foreword by Frederick Mosteller. Zbl 0584.01024
Cochran, William G.
1982
Estimators for the one-way random effects model with unequal error variances. Zbl 0463.62065
Rao, Poduri S. R. S.; Kaplan, Jack; Cochran, William G.
1981
Sampling techniques. 3rd ed. Zbl 0353.62011
Cochran, William G.
1977
Controlling bias in observational studies: a review. Zbl 0291.62012
Cochran, William G.; Rubin, Donald B.
1973
Some effects of errors of measurement in multiple correlation. Zbl 0184.42802
Cochran, W. G.
1970
Errors of measurement in statistics. Zbl 0177.46503
Cochran, W. G.
1968
Comparison of two methods of handling covariates in discriminatory analysis. Zbl 0223.62076
Cochran, William G.
1964
Approximate significance levels of the Behrens-Fisher test. Zbl 0119.35301
Cochran, William G.
1964
On the performance of the linear discriminant function. Zbl 0124.34804
Cochran, William G.
1964
On a simple procedure of unequal probability sampling without replacement. Zbl 0112.10901
Rao, J. N. K.; Hartley, H. O.; Cochran, W. G.
1962
On the performance of the linear discriminant functions. Zbl 0201.52402
Cochran, William G.
1962
Some classification problems with multivariate qualitative data. Zbl 0099.13901
Cochran, William G.; Hopkins, Carl E.
1961
Crystal stability and the theory of ferroelectricity. Zbl 0108.44904
Cochran, W.
1960
Experimental designs. 2nd ed. Zbl 0077.13205
Cochran, William G.; Cox, Gertrude M.
1957
A rejection criterion based upon the range. Zbl 0074.13101
Bliss, C. I.; Cochran, W. G.; Tukey, John. W.
1956
A test of a linear function of the deviations between observed and expected numbers. Zbl 0064.38801
Cochran, William G.
1955
Some methods for strengthening the common $$\chi^2$$ tests. Zbl 0059.12803
Cochran, William G.
1954
The combination of estimates from different experiments. Zbl 0059.12505
Kochran, William G.
1954
Sampling techniques. Zbl 0051.10707
Cochran, W. G.
1953
The determination of crystal structures. Zbl 0053.18003
Lipson, H.; Cochran, W.
1953
The $$\chi^ 2$$-test of goodness of fit. Zbl 0047.13105
Cochran, William G.
1952
The structure of synthetic polypeptides. I: The transform of atoms on a helix. Zbl 0049.43702
Cochran, W.; Crick, F. H. C.; Vand, V.
1952
Some practical applications of generalized crystal-structure projections. Zbl 0049.43701
Cochran, W.; Dyer, H. B.
1952
The symmetry of real periodic two-dimensional functions. Zbl 0049.43602
Cochran, W.
1952
The comparison of percentages in matched samples. Zbl 0040.22203
Cochran, W. G.
1950
The present status of biometry. Zbl 0041.26506
Cochran, William G.
1950
Discriminant functions with covariance. Zbl 0031.37103
Cochran, W. G.; Bliss, C. I.
1948
Recent developments in sampling theory in the United States. Zbl 0041.25805
Cochran, W. G.
1947
Relative accuracy of systematic and stratified random samples for a certain class of populations. Zbl 0063.00940
Cochran, W. G.
1946
Analysis of variance for percentages based on unequal numbers. Zbl 0063.00939
Cochran, W. G.
1943
The comparison of different scales of measurement for experimental results. Zbl 0060.31610
Cochran, W. G.
1943
Sampling theory when the sampling-units are of unequal sizes. Zbl 0063.00937
Cochran, W. G.
1942
The $$\chi^2$$ correction for continuity. Zbl 0063.00938
Cochran, W. G.
1942
The distribution of the largest of a set of estimated variances as a fraction of their total. Zbl 0063.00936
Cochran, W. G.
1941
The analysis of variance when experimental errors follow the Poisson or binomial laws. Zbl 0023.34104
Cochran, W. G.
1940
Note on an approximate formula for the significance levels of $$z$$. Zbl 0063.00935
Cochran, W. G.
1940
The use of the analysis of variance in enumeration by sampling. Zbl 0023.14901
Cochran, W. G.
1939
The omission or addition of an independent variate in multiple linear regression. Zbl 0019.31902
Cochran, W. G.
1938
Recent advances in mathematical statistics. Recent work on the analysis of variance. Zbl 0018.32104
Cochran, W. G.
1938
The omission or addition of an independent variate in multiple linear regression. JFM 64.1214.02
Cochran, W. G.
1938
Problems arising in the analysis of a series of similar experiments. Zbl 0019.13003
Cochran, W. G.
1937
Problems arising in the analysis of a series of similar experiments. JFM 63.1101.01
Cochran, W. G.
1937
The efficiencies of the binomial series tests of significance of a mean and of a correlation coefficient. JFM 63.1108.03
Cochran, W. G.
1937
The $$\chi^2$$ distribution for the binomial and Poisson series, with small expectations. JFM 62.1344.02
Cochran, W. G.
1936
The statistical analysis of field counts of diseased plants. JFM 63.1101.02
Cochran, W. G.
1936
The flow due to a rotating disc. JFM 60.0729.08
Cochran, W. G.
1934
The distribution of quadratic forms in a normal system, with applications to the analysis of covariance. Zbl 0009.12004
Cochran, W. G.
1934
The distribution of quadratic forms in a normal system, with applications to the analysis of covariance. JFM 60.0465.04
Cochran, W. G.
1934
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#### Cited by 2,254 Authors

 23 Singh, Housila Prasad 19 Singh, Garib Nath 14 Singh, Sarjinder 11 Rayner, John Charles Wi 11 Turkyilmazoglu, Mustafa 9 Best, D. John 9 Chaudhuri, Arijit 8 Bailey, Rosemary A. 8 Kadılar, Cem 8 Rao, Jonnagadda Nalini Kanth 8 Shabbir, Javid 8 Wright, Tommy 7 Ahsan, Mohammad Jameel 7 Çıngı, Hülya 7 Ding, Peng 7 Leung, Chi-Ying 7 Maurya, Shweta 6 Arnab, Raghunath 6 Bennett, Bruce M. 6 Gil, María Angeles 6 Ji, Un Cig 6 Khetan, Mukti 6 Kumar, Sunil 6 Lui, Kung-Jong 6 Rubin, Donald Bruce 6 Ruiz Espejo, Mariano 6 Saha, Amitava 6 Sen, Pranab Kumar 6 Solanki, Ramkrishna S. 6 Varshney, Rahul 6 Vishwakarma, Gajendra K. 6 Wong, Chi Song 5 Ariel, P. Donald 5 Attia, Hazem Ali 5 Bellhouse, David R. 5 Bolfarine, Heleno 5 Hartung, Joachim G. 5 Khan, M. G. M. 5 Kim, Jongmin 5 Makambi, Kepher Henry 5 Obata, Nobuaki 5 Pal, Surya Kant 5 Šemrl, Peter 5 Tang, Manlai 5 Wermuth, Nanny 4 Brien, C. J. 4 Buonaccorsi, John P. 4 Causeur, David J. 4 Cox, David Roxbee 4 Federer, Walter Theodore 4 Fienberg, Stephen Elliot 4 Hayat, Tasawar 4 Jensen, Donald R. 4 Karna, Jaishree Prabha 4 Kumar, Manish 4 Marchetti, Giovanni Maria 4 Meeden, Glen D. 4 Mukerjee, Rahul 4 Mukhopadhyay, Nitis 4 Muttlak, Hassen A. 4 Ouerdiane, Habib 4 Ramirez, Donald E. 4 Rukhin, Andrew L. 4 Singh, Ravindra Pratap 4 Skinner, Chris J. 4 Subramani, J. 4 Zou, Guohua 3 Al-saedi, Ahmed Eid Salem 3 Asai, Nobuhiro 3 Bahl, Shashi 3 Bansal, Moham L. 3 Binder, Harald 3 Bonham, Charles D. 3 Booth, James G. 3 Bose, Mausumi 3 Breidt, F. Jay 3 Bretthauer, Kurt M. 3 Chakraborty, Subrata 3 Chang, Kuang-Chao 3 Chen, Zhongxue 3 da Motta Singer, Julio 3 Das Peddada, Shyamal 3 Das, Kalyan 3 Dihidar, Kajal 3 El Bassiouni, Mohamed Y. 3 Gil, Pedro A. 3 Guo, Jianhua 3 Gupta, Sat Narian 3 Hanif, Muhammad Fainan 3 Hanif, Muhammad Kashif 3 Haslett, Stephen J. 3 Hosmane, Balakrishna S. 3 Hu, Jianhua 3 Jafari, Aliakbar Joneidi 3 Joe, Harry 3 Karakostas, Konstantinos X. 3 Keele, Luke John 3 Klar, Neil 3 Knapp, Guido 3 Koop, J. C. ...and 2,154 more Authors
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#### Cited in 248 Serials

 147 Journal of Statistical Planning and Inference 146 Communications in Statistics. Theory and Methods 78 Computational Statistics and Data Analysis 56 Statistics & Probability Letters 49 Annals of the Institute of Statistical Mathematics 48 Communications in Statistics. Simulation and Computation 47 Journal of Statistical Computation and Simulation 39 Psychometrika 33 Metrika 28 Biometrics 27 Statistical Science 25 Journal of Applied Statistics 24 Biometrical Journal 22 Statistical Papers 21 Applied Mathematics and Computation 20 Journal of Statistical Theory and Practice 18 Journal of Econometrics 18 European Journal of Operational Research 17 Journal of Multivariate Analysis 17 Linear Algebra and its Applications 17 The Annals of Applied Statistics 16 The Annals of Statistics 14 Statistics 11 The Canadian Journal of Statistics 10 Test 10 Infinite Dimensional Analysis, Quantum Probability and Related Topics 9 Mathematical Biosciences 9 Journal of the American Statistical Association 9 Journal of Agricultural, Biological, and Environmental Statistics 8 American Journal of Mathematical and Management Sciences 8 Computational Statistics 8 Statistical Methodology 8 Statistics and Computing 7 Computers and Fluids 7 Mathematics and Computers in Simulation 7 Statistica Neerlandica 7 Computers & Operations Research 7 Applied Mathematical Modelling 7 AStA. Advances in Statistical Analysis 6 Acta Mechanica 6 Journal of Engineering Mathematics 6 Annals of Operations Research 6 Applied Scientific Research, Section A 6 Journal of the Korean Statistical Society 6 Journal of Probability and Statistics 5 Computers & Mathematics with Applications 5 International Journal of Engineering Science 5 Linear and Multilinear Algebra 5 Scandinavian Journal of Statistics 5 Bulletin of Mathematical Biology 5 International Statistical Review 5 Meccanica 5 Theoretical Population Biology 5 Acta Applicandae Mathematicae 5 Communications in Nonlinear Science and Numerical Simulation 5 Sankhyā. Series B 4 Journal of Computational Physics 4 Journal of Information & Optimization Sciences 4 International Journal of Approximate Reasoning 4 Mathematical and Computer Modelling 4 Science in China. Series A 4 Pattern Recognition 4 Mathematical Problems in Engineering 4 Journal of the Royal Statistical Society. Series B. Statistical Methodology 4 Brazilian Journal of Probability and Statistics 4 Journal of the Australian Mathematical Society 4 Statistics Surveys 4 Journal of Theoretical Biology 4 Communications in Mathematics and Statistics 4 Journal of Mathematical Modelling and Algorithms in Operations Research 4 International Journal of Applied and Computational Mathematics 3 Rheologica Acta 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Blätter (Deutsche Gesellschaft für Versicherungsmathematik) 3 Fuzzy Sets and Systems 3 Journal of Computational and Applied Mathematics 3 Journal of Mathematical Psychology 3 Metron 3 Trabajos de Estadistica y de Investigacion Operativa 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Mathematical Social Sciences 3 Operations Research Letters 3 Sequential Analysis 3 Trabajos de Estadistica 3 Economics Letters 3 International Journal of Computer Mathematics 3 Journal of Nonparametric Statistics 3 Mathematical Population Studies 3 Journal of Interdisciplinary Mathematics 3 Biostatistics 3 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 3 Journal of Applied Mathematics 3 JMMA. Journal of Mathematical Modelling and Algorithms 3 Statistical Applications in Genetics and Molecular Biology 3 Statistical Methods and Applications 3 Optimization Letters 3 Electronic Journal of Statistics 3 Journal of Applied Mathematics, Statistics and Informatics 3 Epidemiologic Methods 3 Special Matrices ...and 148 more Serials
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#### Cited in 43 Fields

 1,159 Statistics (62-XX) 172 Numerical analysis (65-XX) 80 Fluid mechanics (76-XX) 69 Operations research, mathematical programming (90-XX) 63 Biology and other natural sciences (92-XX) 58 Probability theory and stochastic processes (60-XX) 45 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 41 Computer science (68-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 26 Combinatorics (05-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 History and biography (01-XX) 14 Functional analysis (46-XX) 12 Partial differential equations (35-XX) 9 Systems theory; control (93-XX) 7 Mechanics of deformable solids (74-XX) 6 Quantum theory (81-XX) 5 Information and communication theory, circuits (94-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Convex and discrete geometry (52-XX) 4 Geophysics (86-XX) 3 Nonassociative rings and algebras (17-XX) 3 Special functions (33-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Relativity and gravitational theory (83-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

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