Variance component estimation for unbalanced hierarchical classifications

A - Papers appearing in refereed journals

Gower, J. C. 1962. Variance component estimation for unbalanced hierarchical classifications. Biometrics. 18 (4), pp. 537-542. https://doi.org/10.2307/2527900

Authors	Gower, J. C.
Abstract	A systematic method for computing the coefficients of the variance components in the expected mean squares of a hierarchical analysis of variance is described, together with a simple method of pooling if the outermost hierarchy is analysed separately for each of its categories. Programming the computation for electronic computers is briefly discussed.
Year of Publication	1962
Journal	Biometrics
Journal citation	18 (4), pp. 537-542
Digital Object Identifier (DOI)	https://doi.org/10.2307/2527900
Open access	Published as non-open access
ISSN	0006-341X
Publisher	Wiley

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Measures of Similarity, Dissimilarity and Distance

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Gower, J. C. and Ross, G. J. S. 1998. Non-probabilistic classification. Rizzi, A., Bock, H-H. and Vichi, M. (ed.) Advances in Data Science and Classification: Proceedings 6th Conference of the International Federation of Classification Societies, Rome, 21-24 July 1998 . Springer, New York. pp. 21-28

Prediction regions for categorical variables

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Three-dimensional biplots

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Approximating a symmetric matrix

A - Papers appearing in refereed journals

Bailey, R. A. and Gower, J. C. 1990. Approximating a symmetric matrix. Psychometrika. 55, pp. 665-675.

Genstat 5 release 2 reference summary . 97pp.

E - Books edited/written by staff member, alone/with others

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Multiple correspondence analysis and non-linear biplots.

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25th Anniversary of the British Classification Society. Editorial.

G - Articles in popular magazines and other technical publications

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Generalised canonical analysis.

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Nonlinear biplots.

A - Papers appearing in refereed journals

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Numerical techniques as an aid to objectivity.

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Gower, J. C. 1988. Numerical techniques as an aid to objectivity. in: Prospects in systematics . Ed. D.L. Hawksworth. Oxford : Clarendon Press for the Systematics Association pp. 234-251

Statistics and agriculture

A - Papers appearing in refereed journals

Gower, J. C. 1988. Statistics and agriculture. Journal of the Royal Statistical Society, Series A (Statistics in Society). 151 (1), pp. 179-200. https://doi.org/10.2307/2982191

Classification, geometry and data analysis.

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Gower, J. C. 1988. Classification, geometry and data analysis. in: Classification and related methods of data analysis . Ed. H.H. Bock. Amsterdam : Elsevier/North Holland pp. 3-14

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Introduction to ordination techniques.

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Numerical methods of classification.

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Gower, J. C. 1986. Numerical methods of classification. Leishmania. Taxonomie et phylogenese. Applications eco-epidemiologiques. (Colloquium Internationale CNRS/INSERM, 1984) Montpellier : IMEEE, 13-20..

Metric and Euclidean properties of dissimilarity coefficients

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Gower, J. C. and Legendre, P. 1986. Metric and Euclidean properties of dissimilarity coefficients. Journal Of Classification. 3 (1), pp. 5-48. https://doi.org/10.1007/bf01896809

Ordination and classification.

G - Articles in popular magazines and other technical publications

Digby, P. G. N. and Gower, J. C. 1986. Ordination and classification. Seminaire de Mathematiques Superieures, Montreal, 1982 . Montreal : Les Presses de l'Universite Montreal..

Euclidean distance matrices

B - Book chapters etc edited externally

Gower, J. C. 1986. Euclidean distance matrices. in: deLeeuw, J., Heiser, W., Meulman, J. and Critchley, F. (ed.) Multidimensional data analysis TSWO Press, Leiden. pp. 11-12, 61-63

On identifying yeasts and related problems.

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Measures of Similarity, Dissimilarity and Distance

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Properties of Euclidean and non-Euclidean distance matrices

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Gower, J. C. 1985. Properties of Euclidean and non-Euclidean distance matrices. Linear Algebra and its Applications. 67 (June), pp. 81-97. https://doi.org/10.1016/0024-3795(85)90187-9

Some Recent Advances in Multivariate Analysis Applied to Anthropometry

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Gower, J. C. and Digby, P. N. G. 1984. Some Recent Advances in Multivariate Analysis Applied to Anthropometry. in: Van Vark, G. N. and Howells, W. W. (ed.) Multivariate Statistical Methods in Physical Anthropology Dordrecht Springer. pp. 21-36

Multivariate analysis: Ordination, multidimensional scaling and allied topics

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Distance matrices and their Euclidean approximation

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Gower, J. C. 1983. Distance matrices and their Euclidean approximation. in: Diday, E. (ed.) Third International Conference on Data Analysis and lnfomatics Versailles INRA, Paris. pp. 1-19

Comparing classifications

B - Book chapters etc edited externally

Gower, J. C. 1983. Comparing classifications. in: Numerical Taxonomy Berlin, Heidelberg Springer. pp. 137-155

Euclidean Distance Geometry

A - Papers appearing in refereed journals

Gower, J. C. 1982. Euclidean Distance Geometry. Mathematical Scientist. 7, pp. 1-14.

Models for the analysis of inter-regional migration

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Constantine, A. G. and Gower, J. C. 1982. Models for the analysis of inter-regional migration. Environment and Planning A. 14 (4), pp. 477-497. https://doi.org/10.1068/a140477

Expressing complex relationships in two dimensions

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Gower, J. C. and Digby, P. G. N. 1981. Expressing complex relationships in two dimensions. in: Barnett, V. (ed.) Interpreting Multivariate Data Chapter 6 pp. 83-118

Ordination between-and within-groups applied to soil classification

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Digby, P. G. N. and Gower, J. C. 1981. Ordination between-and within-groups applied to soil classification. in: Merriam, D. F. (ed.) Down to earth statistics: solutions looking for geological problems New York Syracuse University.

Plotting the optimum positions of an array of cortical electrical phosphenes

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Problems in interpreting asymmetrical chemical relationships

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An application of the Leverrier-Faddeev algorithm to skew-symmetric matrix decomposition

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Gower, J. C. 1980. An application of the Leverrier-Faddeev algorithm to skew-symmetric matrix decomposition. Utilitas Mathematica. 18, pp. 225-240.

A note on the graphical representation of multivariate binary data

A - Papers appearing in refereed journals

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A non-technical survey of multidimensional-scaling and allied techniques

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A modified Leverrier-Faddeev algorithm for matrices with multiple-eigenvalues

A - Papers appearing in refereed journals

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Citation classic - some distance properties of latent root and vector methods used in multivariate-analysis

A - Papers appearing in refereed journals

Gower, J. C. 1980. Citation classic - some distance properties of latent root and vector methods used in multivariate-analysis. Current Contents/Agriculture Biology & Environmental Sciences. (12), pp. 14-14.

Some properties and applications of simple orthogonal matrices

A - Papers appearing in refereed journals

Constatine, A .G. and Gower, J. C. 1978. Some properties and applications of simple orthogonal matrices. IMA Journal of Applied Mathematics. 21 (4), pp. 445-454. https://doi.org/10.1093/imamat/21.4.445

Graphical Representation of Asymmetric Matrices

A - Papers appearing in refereed journals

Constatine, A. G. and Gower, J. C. 1978. Graphical Representation of Asymmetric Matrices . Journal of the Royal Statistical Society, Series C (Applied Statistics). 27 (3), pp. 297-304. https://doi.org/10.2307/2347165

Explicit singular value decompositions, spectral decompositions and inverses of some skew-symmetric matrices

A - Papers appearing in refereed journals

Gower, J. C. and Laslett, G. M. 1978. Explicit singular value decompositions, spectral decompositions and inverses of some skew-symmetric matrices. Utilitas Mathematica. 13, pp. 33-48.

Symmetry and asymmetry - their representation and joint representation

A - Papers appearing in refereed journals

Gower, J. C. 1978. Symmetry and asymmetry - their representation and joint representation. Advances In Applied Probability. 10 (3), pp. 496-496. https://doi.org/10.1017/s0001867800030974

Some remarks on proportional similarity

A - Papers appearing in refereed journals

Gower, J. C. 1978. Some remarks on proportional similarity. Journal of General Microbiology. 107 (AUG), pp. 387-389. https://doi.org/10.1099/00221287-107-2-387

Multivariate Statistical Inference. by Narayan C. Giri

A - Papers appearing in refereed journals

Gower, J. C. 1978. Multivariate Statistical Inference. by Narayan C. Giri. Journal of the Royal Statistical Society, Series A (Statistics in Society). 141, pp. 410-411. https://doi.org/10.2307/2344815

Methods for Statistical Data Analysis of Multivariate Observations. by R. Gnanadesikan

A - Papers appearing in refereed journals

Gower, J. C. 1978. Methods for Statistical Data Analysis of Multivariate Observations. by R. Gnanadesikan. Journal of the Royal Statistical Society, Series A (Statistics in Society). 141, pp. 265-267. https://doi.org/10.2307/2344470

Comment on transformations to reduce dimensionality

A - Papers appearing in refereed journals

Gower, J. C. 1978. Comment on transformations to reduce dimensionality. Taxon. 27 (4), pp. 353-355. https://doi.org/10.2307/1220373

Growth-free canonical variates and generalized inverses

A - Papers appearing in refereed journals

Gower, J. C. 1976. Growth-free canonical variates and generalized inverses. Bulletin of the Geological Institutions of the University Uppsala, N. S.. 7, pp. 1-10.

Relating classification to identification

A - Papers appearing in refereed journals

Gower, J. C. 1975. Relating classification to identification. 7, pp. 251-263.

Nonnegative matrices - seneta,e

A - Papers appearing in refereed journals

Gower, J. C. 1975. Nonnegative matrices - seneta,e. Journal of the Royal Statistical Society, Series A (Statistics in Society). 138, pp. 271-272. https://doi.org/10.2307/2984670

Methods and programs of discriminant-analysis - French - Romeder, J. M.

A - Papers appearing in refereed journals

Gower, J. C. 1975. Methods and programs of discriminant-analysis - French - Romeder, J. M. Journal of the Royal Statistical Society, Series C (Applied Statistics). 24 (1), pp. 139-140.

Maximal predictive classification of Klebsielleae and of yeasts

A - Papers appearing in refereed journals

Barnett, J. A., Bascomb, S. and Gower, J. C. 1975. Maximal predictive classification of Klebsielleae and of yeasts. Journal of General Microbiology. 86 (JAN), pp. 93-102. https://doi.org/10.1099/00221287-86-1-93

Determinant of an orthogonal matrix

A - Papers appearing in refereed journals

Gower, J. C. 1975. Determinant of an orthogonal matrix. Journal of the Royal Statistical Society, Series C (Applied Statistics). 24 (1), pp. 150-153.

A comparison of different criteria for selecting binary tests in diagnostic keys

A - Papers appearing in refereed journals

Gower, J. C. and Payne, R. W. 1975. A comparison of different criteria for selecting binary tests in diagnostic keys. Biometrika. 62 (3), pp. 665-672. https://doi.org/10.2307/2335526

Biometrical interpretation - gilbert,ne

A - Papers appearing in refereed journals

Gower, J. C. 1975. Biometrical interpretation - gilbert,ne. Journal of the Royal Statistical Society, Series C (Applied Statistics). 24 (1), pp. 139-139.

Generalized procrustes analysis

A - Papers appearing in refereed journals

Gower, J. C. 1975. Generalized procrustes analysis. Psychometrika. 40 (1), pp. 33-51. https://doi.org/10.1007/bf02291478

Multivariate-analysis and its applications - report on Hull Conference, 1973

A - Papers appearing in refereed journals

Gower, J. C. and Mardia, K. V. 1974. Multivariate-analysis and its applications - report on Hull Conference, 1973. Journal of the Royal Statistical Society, Series C (Applied Statistics). 23 (1), pp. 60-66. https://doi.org/10.2307/2347054

The Mediancentre Algorithm AS 78

A - Papers appearing in refereed journals

Gower, J. C. 1974. The Mediancentre Algorithm AS 78. Journal of the Royal Statistical Society, Series C (Applied Statistics). 23 (3), pp. 466-470.

Maximal predictive classification

A - Papers appearing in refereed journals

Gower, J. C. 1974. Maximal predictive classification. Biometrics. 30 (4), pp. 643-654. https://doi.org/10.2307/2529229

Iterative computer procedure for mixed-up values in experiments

A - Papers appearing in refereed journals

Preece, D. A. and Gower, J. C. 1974. Iterative computer procedure for mixed-up values in experiments. Journal of the Royal Statistical Society, Series C (Applied Statistics). 23 (1), pp. 73-74. https://doi.org/10.2307/2347056

Classification problems

A - Papers appearing in refereed journals

Gower, J. C. 1973. Classification problems. Bulletin - International Statistical Institute. 39, pp. 471-478.

Fortran techniques, with special reference to non-numerical applications - day,ac

A - Papers appearing in refereed journals

Gower, J. C. 1973. Fortran techniques, with special reference to non-numerical applications - day,ac. Journal of the Royal Statistical Society, Series A (Statistics in Society). 136, pp. 266-267. https://doi.org/10.2307/2345122

Measures of taxonomic distance and their analysis

A - Papers appearing in refereed journals

Gower, J. C. 1972. Measures of taxonomic distance and their analysis.

Generating successive incomplete blocks with each pair of elements in at least one block

A - Papers appearing in refereed journals

Gower, J. C. and Preece, D. A. 1972. Generating successive incomplete blocks with each pair of elements in at least one block. Journal Of Combinatorial Theory Series A. 12 (1), pp. 81-97. https://doi.org/10.1016/0097-3165(72)90085-4

Generalized inverse matrices - boullion,tl and odell,pl

A - Papers appearing in refereed journals

Gower, J. C. 1972. Generalized inverse matrices - boullion,tl and odell,pl. Technometrics. 14 (3), pp. 806-807. https://doi.org/10.2307/1267311

Factor analysis as a statistical method - lawley,dn and maxwell,ae

A - Papers appearing in refereed journals

Gower, J. C. 1972. Factor analysis as a statistical method - lawley,dn and maxwell,ae. Journal of the Royal Statistical Society, Series C (Applied Statistics). 21 (3), pp. 339-340.

Statistical methods of comparing different multivariate analyses of the same data

A - Papers appearing in refereed journals

Gower, J. C. 1971. Statistical methods of comparing different multivariate analyses of the same data. Mathematics in the archaeological and historical science. pp. 138-149.

A General Coefficient of Similarity and Some of Its Properties

A - Papers appearing in refereed journals

Gower, J. C. 1971. A General Coefficient of Similarity and Some of Its Properties. Biometrics. 27 (4), pp. 857-871. https://doi.org/10.2307/2528823

Basis of automatic classification - french - lerman,ic

A - Papers appearing in refereed journals

Gower, J. C. 1971. Basis of automatic classification - french - lerman,ic. Journal of the Royal Statistical Society, Series C (Applied Statistics). 20 (2), pp. 195-197.

A note on Burnaby’s character-weighted similarity coefficient

A - Papers appearing in refereed journals

Gower, J. C. 1970. A note on Burnaby’s character-weighted similarity coefficient. Journal of the International Association for Mathematical Geology. 2 (1), pp. 39-45. https://doi.org/10.1007/BF02332079

Classification and Geology

A - Papers appearing in refereed journals

Gower, J. C. 1970. Classification and Geology. Review of the International Statistical Institute. 38 (1), pp. 35-41. https://doi.org/10.2307/1402322

Genstat: a general statistics program

J - Computer programs

Alvey, N. G., Gower, J. C., Lauckner, F. B., Leech, P. K., Nelder, J. A., Rogers, C. E., Ross, G. J. S., Simpson, H. R., Wedderburn, R. W. M. and Wilkinson, G. N. 1970. Genstat: a general statistics program. Rothamsted Experimental Station, Harpenden.

Algorithm AS 18: Evaluation of Marginal Means

A - Papers appearing in refereed journals

Gower, J. C. 1969. Algorithm AS 18: Evaluation of Marginal Means. Journal of the Royal Statistical Society, Series C (Applied Statistics). 18 (2), pp. 197-199. https://doi.org/10.2307/2346268

Algorithm AS 19: Analysis of Variance for a Factorial Table

A - Papers appearing in refereed journals

Gower, J. C. 1969. Algorithm AS 19: Analysis of Variance for a Factorial Table. Journal of the Royal Statistical Society, Series C (Applied Statistics). 18 (2), pp. 199-202. https://doi.org/10.2307/2346269

A survey of numerical methods useful in taxonomy - mites

A - Papers appearing in refereed journals

Gower, J. C. 1969. A survey of numerical methods useful in taxonomy - mites. Acarologia. 11 (3), pp. 357-375.

Algorithm AS 23: Calculation of Effects

A - Papers appearing in refereed journals

Gower, J. C. 1969. Algorithm AS 23: Calculation of Effects. Journal of the Royal Statistical Society, Series C (Applied Statistics). 18 (3), pp. 287-290. https://doi.org/10.2307/2346592

The basis of numerical methods of classification

A - Papers appearing in refereed journals

Gower, J. C. 1969. The basis of numerical methods of classification. Systematic Association Publication. (8), pp. 19-30.

Minimum spanning trees and single linkage cluster analysis

A - Papers appearing in refereed journals

Gower, J. C. and Ross, G. J. S. 1969. Minimum spanning trees and single linkage cluster analysis. Journal of the Royal Statistical Society, Series C (Applied Statistics). 18 (1), pp. 54-64. https://doi.org/10.2307/2346439

Algorithm AS 1: Simulating Multidimensional Arrays in One Dimension

A - Papers appearing in refereed journals

Gower, J. C. 1968. Algorithm AS 1: Simulating Multidimensional Arrays in One Dimension. Journal of the Royal Statistical Society, Series C (Applied Statistics). 17 (2), pp. 180-185. https://doi.org/10.2307/2985682|

Adding a point to vector diagrams in multivariate analysis

A - Papers appearing in refereed journals

Gower, J. C. 1968. Adding a point to vector diagrams in multivariate analysis. Biometrika. 55 (3), pp. 582-585. https://doi.org/10.1093/biomet/55.3.582

A statistical programming language

A - Papers appearing in refereed journals

Gower, J. C., Simpson, H. R. and Martin, A. H. 1967. A statistical programming language. Journal of the Royal Statistical Society, Series C (Applied Statistics). 16 (2), pp. 89-99. https://doi.org/10.2307/2985770

Multivariate Analysis and Multidimensional Geometry

A - Papers appearing in refereed journals

Gower, J. C. 1967. Multivariate Analysis and Multidimensional Geometry. Journal of the Royal Statistical Society, Series D (The Statistician). 17 (1), pp. 13-28. https://doi.org/10.2307/2987199

A Comparison of Some Methods of Cluster Analysis

A - Papers appearing in refereed journals

Gower, J. C. 1967. A Comparison of Some Methods of Cluster Analysis. Biometrics. 23 (4), pp. 623-637. https://doi.org/10.2307/2528417

Some distance properties of latent root and vector methods used in multivariate analysis

A - Papers appearing in refereed journals

Gower, J. C. 1966. Some distance properties of latent root and vector methods used in multivariate analysis. Biometrika. 53 (3-4), pp. 325-338. https://doi.org/10.1093/biomet/53.3-4.325

A Q-technique for the calculation of canonical variates

A - Papers appearing in refereed journals

Gower, J. C. 1966. A Q-technique for the calculation of canonical variates. Biometrika. 53 (3-4), pp. 588-590. https://doi.org/10.1093/biomet/53.3-4.588

A factorial fertilizer experiment on coconuts

A - Papers appearing in refereed journals

Eden, T., Gower, J. C. and Slgado, M. L. M. 1963. A factorial fertilizer experiment on coconuts. Empire Journal of Experimental Agriculture. 60 (124), pp. 283-end.

A specialized autocode for the analysis of replicated experiments

A - Papers appearing in refereed journals

Yates, F., Gower, J. C. and Simpson, H. R. 1963. A specialized autocode for the analysis of replicated experiments. The Computer Journal. 5 (4), pp. 313-319. https://doi.org/10.1093/comjnl/5.4.313

The handling of multiway tables on computers

A - Papers appearing in refereed journals

Gower, J. C. 1962. The handling of multiway tables on computers. The Computer Journal. 4 (4), pp. 280-286. https://doi.org/10.1093/comjnl/4.4.280

An autocode for table manipulation

A - Papers appearing in refereed journals

Gower, J. C. 1962. An autocode for table manipulation. Proceedings of the Symposium on Symbolic Language in Data Processing Rome. pp. 613-614.

Insecticidal activity of pyrethrum extract and its four insecticidal constituents against house flies. I. Preparation and relative toxicity of pure constituents - statistical analysis of action of mixtures of these components

A - Papers appearing in refereed journals

Sawicki, R. M., Elliott, M., Snarey, M., Gower, J. C. and Thain, E. M. 1962. Insecticidal activity of pyrethrum extract and its four insecticidal constituents against house flies. I. Preparation and relative toxicity of pure constituents - statistical analysis of action of mixtures of these components. Journal of the Science of Food and Agriculture. 13 (3), pp. 172-&. https://doi.org/10.1002/jsfa.2740130307

Aliasing in partially confounded factorial experiments

A - Papers appearing in refereed journals

Healy, M. J. R. and Gower, J. C. 1961. Aliasing in partially confounded factorial experiments. Biometrika. 48 (1-2), pp. 218-220. https://doi.org/10.1093/biomet/48.1-2.218

A note on some asymptotic properties of the logarithmic series distribution

A - Papers appearing in refereed journals

Gower, J. C. 1961. A note on some asymptotic properties of the logarithmic series distribution. Biometrika. 48 (1-2), pp. 212-215. https://doi.org/10.1093/biomet/48.1-2.212

A comparison of theoretical and empirical results for some stochastic population models

A - Papers appearing in refereed journals

Bartlett, M. S., Gower, J. C. and Leslie, P. H. 1960. A comparison of theoretical and empirical results for some stochastic population models. Biometrika. 47 (1-2), pp. 1-11. https://doi.org/10.1093/biomet/47.1-2.1

The properties of a stochastic model for the predator-prey type of interaction between two species

A - Papers appearing in refereed journals

Leslie, P. H. and Gower, J. C. 1960. The properties of a stochastic model for the predator-prey type of interaction between two species. Biometrika. 47 (3-4), pp. 219-234. https://doi.org/10.1093/biomet/47.3-4.219

The use of a multiple-transfer method in plant virus transmission studies- some statistical points arising in the analysis of results

A - Papers appearing in refereed journals

Gibbs, A. J. and Gower, J. C. 1960. The use of a multiple-transfer method in plant virus transmission studies- some statistical points arising in the analysis of results. Annals of Applied Biology - AAB. 48 (1), pp. 75-83. https://doi.org/10.1111/j.1744-7348.1960.tb03506.x

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