Lawrence Hubert - Profile on Academia.edu (original) (raw)

Papers by Lawrence Hubert

The Basic Sampling Model and

Chapman and Hall/CRC eBooks, Sep 25, 2012

Psychometrika, Nov 22, 2016

Geographical Analysis, Sep 3, 2010

Research Notes and Comments I 347 mum-likelihood estimation of the constant and does not need to ... more Research Notes and Comments I 347 mum-likelihood estimation of the constant and does not need to be applied a posteriori. Overall, the replacement of the lognormal model by the Poisson model provides a more homogeneous "family" of trip distribution models.

Psychological Bulletin, 1980

N = Nonparametric Randomization Tests

Elsevier eBooks, 1978

Psychometrika, Dec 1, 1985

A combinatorial data analysis strategy is reviewed that is designed to compare two arbitrary meas... more A combinatorial data analysis strategy is reviewed that is designed to compare two arbitrary measures of proximity defined between the objects from some set. Based on a particular crossproduct definition of correspondence between these two numerically specified notions of proximity (typically represented in the form of matrices), extensions are then pursued to indices of partial association that relate the observed pattern of correspondence between the first two proximity measures to a third. The attendant issues of index normalization and significance testing are discussed; the latter is approached through a simple randomization model implemented either through a Monte Carlo procedure or distributional approximations based on the first three moments. Applications of the original comparison strategy and its extensions to partial association may be developed for a variety of methodological and substantive tasks. Besides rank correlation, we emphasize the topics of spatial autocorrelation for one variable and spatial association between two and mention the connection to the usual randomization approach for one-way analysis-of-variance.

Approximate Evaluation Techniques for the Single-Link and Complete-Link Hierarchical Clustering Procedures

Journal of the American Statistical Association, Sep 1, 1974

Approximate Evaluation Techniques for the Single-... given the combina-torial problems posed by t... more Approximate Evaluation Techniques for the Single-... given the combina-torial problems posed by the methods; however, as a reasonable compromise, approximate statistical pro ... theory until more exact assessment tech-niques become available in the future (for some work in ...

Clustering

Elsevier eBooks, 2005

Papers in Regional Science, Jan 14, 2005

Measuring clustering in free recall

Psychological Bulletin, 1980

Journal of educational statistics, Mar 1, 1976

A nonparametric test, developed in the biometrics literature for the study of contagious diseases... more A nonparametric test, developed in the biometrics literature for the study of contagious diseases, may be used more generally to compare the patterning of entries in two proximity matrices. The procedure is a simple extension of the randomization strategies appropriate for the standard bivariate correlation context, and provides a relatively easy alternative to some of the more informal analyses commonly used in education. Given the actual values of the entries in the two matrices Sj and S 2 , T can be interpreted as an unnormalized correlation coefficient between the elements of S x and S , where larger

Geographical Analysis, Sep 3, 2010

Psychometrika, Dec 1, 1981

A recursive dynamic programming strategy is discussed for optimally reorganizing the rows and sim... more A recursive dynamic programming strategy is discussed for optimally reorganizing the rows and simultaneously the columns of an n x n proximity matrix when the objective function measuring the adequacy of a reorganization has a fairly simple additive structure. A number of possible objective functions are mentioned along with several numerical examples using Thurstone's paired comparison data on the relative seriousness of crime. Finally, the optimization tasks we propose to attack with dynamic programming are placed in a broader theoretical context of what is typically referred to as the quadratic assignment problem and its extension to cubic assignment.

British Journal of Mathematical and Statistical Psychology, Nov 1, 1977

The "Traveling Salesman" and similar combinatorial programming tasks encountered in operations re... more The "Traveling Salesman" and similar combinatorial programming tasks encountered in operations research are discussed as possible data analysis models in psychology, for example, in developmental scaling, Guttman scaling, profile smoothing, and data array clustering. In addition, a short overview of the various computational approaches from this area of combinatorial optimization is included.

A Graph-Theoretic Approach to Goodness-of-Fit in Complete-Link Hierarchical Clustering

Journal of the American Statistical Association, Dec 1, 1976

Abstract The complete-link hierarchical clustering strategy is reinterpreted as a heuristic proce... more Abstract The complete-link hierarchical clustering strategy is reinterpreted as a heuristic procedure for coloring the nodes of a graph. Using this framework, the problem of assessing goodness-of-fit in complete-link clustering is approached through the number of “extraneous” edges in the fit of the constructed partitions to a sequence of graphs obtained from the basic proximity data. Several simple numerical examples that illustrate the suggested paradigm are given and some Monte Carlo results presented.

An overview of some aspects of cluster analysis

an assu med relatio nship between the data and a restr ictively parameter ized stochast ic popula... more an assu med relatio nship between the data and a restr ictively parameter ized stochast ic population model is essentially ignored. Methods of CDA are gener ally organized around (a) the types of co m binatorial structures we might use to represent a given data set (e.g. and (b) the cl asses of combinatorial op timization methods used in solving problems of actually locating optimal arrangements rather than the (confirmatory) evaluation of a given one. The latter emphasis on co mputation may seem unusual, but such staples of combinator ial structures as the "travel ing salesman problem," the "min imum spanning tree," and "addit ive trees" have been used to connect seemingly

Inference models for roll-call cohesion measures

Quality & Quantity, Oct 1, 1981

Education and Urban Society, May 1, 1975

The formulation and evaluation of policy are central concerns of members of educational, organiza... more The formulation and evaluation of policy are central concerns of members of educational, organizations. Clearly, the vitality of an educational organization is dependent on its ability to keep pace with society's changes in vaIues and technologies. These changes may affect the goals of the institution as well as the mechanisms it uses to achieve these goals. In response to the needs of an educational organization to utilize appropriate methodologies of policy research in the formulation and evaluation of educational programs, the School of Education at the University of Wisconsin-Madison sponsored a conference entitled: "Educational Policy Research: Methods and Implications." The three articles included in this volume were presented at this conference, as were the formal critiques which were prepared by selected faculty members at the University of Wisconsin., These

Aggregation in Data Tables: Implications for Evaluating Criminal Justice Statistics

Environment and Planning A, Feb 1, 1981

Data collected on a set of objects (cities, for instance) over a set of attributes (time points, ... more Data collected on a set of objects (cities, for instance) over a set of attributes (time points, for instance) can be subjected to a variety of aggregation schemes. For example, if a hypothesized pattern over the attributes is to be confirmed (a temporal increase in homicide rate, for instance), the data could be first aggregated over cities and then compared

The Basic Sampling Model and

Chapman and Hall/CRC eBooks, Sep 25, 2012

Psychometrika, Nov 22, 2016

Geographical Analysis, Sep 3, 2010

Research Notes and Comments I 347 mum-likelihood estimation of the constant and does not need to ... more Research Notes and Comments I 347 mum-likelihood estimation of the constant and does not need to be applied a posteriori. Overall, the replacement of the lognormal model by the Poisson model provides a more homogeneous "family" of trip distribution models.

Psychological Bulletin, 1980

N = Nonparametric Randomization Tests

Elsevier eBooks, 1978

Psychometrika, Dec 1, 1985

A combinatorial data analysis strategy is reviewed that is designed to compare two arbitrary meas... more A combinatorial data analysis strategy is reviewed that is designed to compare two arbitrary measures of proximity defined between the objects from some set. Based on a particular crossproduct definition of correspondence between these two numerically specified notions of proximity (typically represented in the form of matrices), extensions are then pursued to indices of partial association that relate the observed pattern of correspondence between the first two proximity measures to a third. The attendant issues of index normalization and significance testing are discussed; the latter is approached through a simple randomization model implemented either through a Monte Carlo procedure or distributional approximations based on the first three moments. Applications of the original comparison strategy and its extensions to partial association may be developed for a variety of methodological and substantive tasks. Besides rank correlation, we emphasize the topics of spatial autocorrelation for one variable and spatial association between two and mention the connection to the usual randomization approach for one-way analysis-of-variance.

Approximate Evaluation Techniques for the Single-Link and Complete-Link Hierarchical Clustering Procedures

Journal of the American Statistical Association, Sep 1, 1974

Approximate Evaluation Techniques for the Single-... given the combina-torial problems posed by t... more Approximate Evaluation Techniques for the Single-... given the combina-torial problems posed by the methods; however, as a reasonable compromise, approximate statistical pro ... theory until more exact assessment tech-niques become available in the future (for some work in ...

Clustering

Elsevier eBooks, 2005

Papers in Regional Science, Jan 14, 2005

Measuring clustering in free recall

Psychological Bulletin, 1980

Journal of educational statistics, Mar 1, 1976

A nonparametric test, developed in the biometrics literature for the study of contagious diseases... more A nonparametric test, developed in the biometrics literature for the study of contagious diseases, may be used more generally to compare the patterning of entries in two proximity matrices. The procedure is a simple extension of the randomization strategies appropriate for the standard bivariate correlation context, and provides a relatively easy alternative to some of the more informal analyses commonly used in education. Given the actual values of the entries in the two matrices Sj and S 2 , T can be interpreted as an unnormalized correlation coefficient between the elements of S x and S , where larger

Geographical Analysis, Sep 3, 2010

Psychometrika, Dec 1, 1981

A recursive dynamic programming strategy is discussed for optimally reorganizing the rows and sim... more A recursive dynamic programming strategy is discussed for optimally reorganizing the rows and simultaneously the columns of an n x n proximity matrix when the objective function measuring the adequacy of a reorganization has a fairly simple additive structure. A number of possible objective functions are mentioned along with several numerical examples using Thurstone's paired comparison data on the relative seriousness of crime. Finally, the optimization tasks we propose to attack with dynamic programming are placed in a broader theoretical context of what is typically referred to as the quadratic assignment problem and its extension to cubic assignment.

British Journal of Mathematical and Statistical Psychology, Nov 1, 1977

The "Traveling Salesman" and similar combinatorial programming tasks encountered in operations re... more The "Traveling Salesman" and similar combinatorial programming tasks encountered in operations research are discussed as possible data analysis models in psychology, for example, in developmental scaling, Guttman scaling, profile smoothing, and data array clustering. In addition, a short overview of the various computational approaches from this area of combinatorial optimization is included.

A Graph-Theoretic Approach to Goodness-of-Fit in Complete-Link Hierarchical Clustering

Journal of the American Statistical Association, Dec 1, 1976

Abstract The complete-link hierarchical clustering strategy is reinterpreted as a heuristic proce... more Abstract The complete-link hierarchical clustering strategy is reinterpreted as a heuristic procedure for coloring the nodes of a graph. Using this framework, the problem of assessing goodness-of-fit in complete-link clustering is approached through the number of “extraneous” edges in the fit of the constructed partitions to a sequence of graphs obtained from the basic proximity data. Several simple numerical examples that illustrate the suggested paradigm are given and some Monte Carlo results presented.

An overview of some aspects of cluster analysis

an assu med relatio nship between the data and a restr ictively parameter ized stochast ic popula... more an assu med relatio nship between the data and a restr ictively parameter ized stochast ic population model is essentially ignored. Methods of CDA are gener ally organized around (a) the types of co m binatorial structures we might use to represent a given data set (e.g. and (b) the cl asses of combinatorial op timization methods used in solving problems of actually locating optimal arrangements rather than the (confirmatory) evaluation of a given one. The latter emphasis on co mputation may seem unusual, but such staples of combinator ial structures as the "travel ing salesman problem," the "min imum spanning tree," and "addit ive trees" have been used to connect seemingly

Inference models for roll-call cohesion measures

Quality & Quantity, Oct 1, 1981

Education and Urban Society, May 1, 1975

The formulation and evaluation of policy are central concerns of members of educational, organiza... more The formulation and evaluation of policy are central concerns of members of educational, organizations. Clearly, the vitality of an educational organization is dependent on its ability to keep pace with society's changes in vaIues and technologies. These changes may affect the goals of the institution as well as the mechanisms it uses to achieve these goals. In response to the needs of an educational organization to utilize appropriate methodologies of policy research in the formulation and evaluation of educational programs, the School of Education at the University of Wisconsin-Madison sponsored a conference entitled: "Educational Policy Research: Methods and Implications." The three articles included in this volume were presented at this conference, as were the formal critiques which were prepared by selected faculty members at the University of Wisconsin., These

Aggregation in Data Tables: Implications for Evaluating Criminal Justice Statistics

Environment and Planning A, Feb 1, 1981

Data collected on a set of objects (cities, for instance) over a set of attributes (time points, ... more Data collected on a set of objects (cities, for instance) over a set of attributes (time points, for instance) can be subjected to a variety of aggregation schemes. For example, if a hypothesized pattern over the attributes is to be confirmed (a temporal increase in homicide rate, for instance), the data could be first aggregated over cities and then compared