Lawrence Hubert - Academia.edu (original) (raw)
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Papers by Lawrence Hubert
Papers in Regional Science, Dec 1, 1981
Papers in Regional Science, Dec 1, 1983
British Journal of Mathematical and Statistical Psychology, Nov 1, 1983
A general strategy is proposed for measuring and testing the agreement between two raters who use... more A general strategy is proposed for measuring and testing the agreement between two raters who use some common scheme for assessing each of n objects. As long as a numerical measure of correspondence or proximity can be obtained between any two assessments, an agreement index can be defined and tested for significance under a null conjecture of rater independence. The usual weighted kappa index appropriate for nominal scale response agreement is a special case of our more comprehensive framework.
British Journal of Mathematical and Statistical Psychology, May 1, 1974
The concept of a spanning tree for a weighted graph is used to characterize several methods of cl... more The concept of a spanning tree for a weighted graph is used to characterize several methods of clustering a set of objects. In particular, most of the paper is devoted to stating relationships between spanning trees, single‐link and complete‐link hierarchical clustering, network flow and two divisive clustering procedures. Several related topics using the notion of a spanning tree are also mentioned.
The Structural Representation of Proximity Matrices with MATLAB, 2006
The Structural Representation of Proximity Matrices with MATLAB, 2006
Combinatorial Data Analysis, 2001
The Structural Representation of Proximity Matrices with MATLAB, 2006
The Structural Representation of Proximity Matrices with MATLAB, 2006
Studies in Classification, Data Analysis, and Knowledge Organization, 1998
Optimal scaling is reviewed in the framework of a comprehensive multidimensional data analysis st... more Optimal scaling is reviewed in the framework of a comprehensive multidimensional data analysis strategy, called the Data Theory Scaling System (DTSS). The optimal scaling methodology has a lot of potential for the analysis of multivariate data that are qualitative, non-normally distributed, or incomplete. Also, the system can easily deal with nonlinear relationships between the variables to be analyzed. A crucial aspect of DTSS is the graphical display of the results of the analysis. The most recent developments of DTSS include the integration of optimal scaling with combinatorial data analysis, e.g., ordering tasks in one dimension, and the fitting of graphs to multivariate data.
Measuring the Unmeasurable, 1985
This investigation had two major purposes. The first was to explore the use of an inferential tec... more This investigation had two major purposes. The first was to explore the use of an inferential technique called Tukeys Jackknife in establishing a confidence interval about cooefficient alpha reliability. The second purpose was to study the robustness of the Feldt and the jackknife procedures when the data fails to satisfy usual normality assumptions. Using a linear model of test score, computer simulated data representing a matched item-examinee sample from th3ir respective populations was employed. The two jackknife procedures, is this situation, were less conservative. For log-normal distributions of examinee score components, Feldt's procedure gave reasonable interval estimates for low values (=.60) of population alpha, but for higher values of population alpha (=.90), the Feldt procedure was not found to be robust. The two Jackknife procedures, on the other hand, were found to be relatively robust over the entire range of investigation of values of alpha. None of the procedures was found useful in interval estimation of coefficient alpha when the distribution of examinee score components were of extreme double-exponential form. (RC) rt BEST COPY AVAILABLE
Papers in Regional Science, Dec 1, 1981
Papers in Regional Science, Dec 1, 1983
British Journal of Mathematical and Statistical Psychology, Nov 1, 1983
A general strategy is proposed for measuring and testing the agreement between two raters who use... more A general strategy is proposed for measuring and testing the agreement between two raters who use some common scheme for assessing each of n objects. As long as a numerical measure of correspondence or proximity can be obtained between any two assessments, an agreement index can be defined and tested for significance under a null conjecture of rater independence. The usual weighted kappa index appropriate for nominal scale response agreement is a special case of our more comprehensive framework.
British Journal of Mathematical and Statistical Psychology, May 1, 1974
The concept of a spanning tree for a weighted graph is used to characterize several methods of cl... more The concept of a spanning tree for a weighted graph is used to characterize several methods of clustering a set of objects. In particular, most of the paper is devoted to stating relationships between spanning trees, single‐link and complete‐link hierarchical clustering, network flow and two divisive clustering procedures. Several related topics using the notion of a spanning tree are also mentioned.
The Structural Representation of Proximity Matrices with MATLAB, 2006
The Structural Representation of Proximity Matrices with MATLAB, 2006
Combinatorial Data Analysis, 2001
The Structural Representation of Proximity Matrices with MATLAB, 2006
The Structural Representation of Proximity Matrices with MATLAB, 2006
Studies in Classification, Data Analysis, and Knowledge Organization, 1998
Optimal scaling is reviewed in the framework of a comprehensive multidimensional data analysis st... more Optimal scaling is reviewed in the framework of a comprehensive multidimensional data analysis strategy, called the Data Theory Scaling System (DTSS). The optimal scaling methodology has a lot of potential for the analysis of multivariate data that are qualitative, non-normally distributed, or incomplete. Also, the system can easily deal with nonlinear relationships between the variables to be analyzed. A crucial aspect of DTSS is the graphical display of the results of the analysis. The most recent developments of DTSS include the integration of optimal scaling with combinatorial data analysis, e.g., ordering tasks in one dimension, and the fitting of graphs to multivariate data.
Measuring the Unmeasurable, 1985
This investigation had two major purposes. The first was to explore the use of an inferential tec... more This investigation had two major purposes. The first was to explore the use of an inferential technique called Tukeys Jackknife in establishing a confidence interval about cooefficient alpha reliability. The second purpose was to study the robustness of the Feldt and the jackknife procedures when the data fails to satisfy usual normality assumptions. Using a linear model of test score, computer simulated data representing a matched item-examinee sample from th3ir respective populations was employed. The two jackknife procedures, is this situation, were less conservative. For log-normal distributions of examinee score components, Feldt's procedure gave reasonable interval estimates for low values (=.60) of population alpha, but for higher values of population alpha (=.90), the Feldt procedure was not found to be robust. The two Jackknife procedures, on the other hand, were found to be relatively robust over the entire range of investigation of values of alpha. None of the procedures was found useful in interval estimation of coefficient alpha when the distribution of examinee score components were of extreme double-exponential form. (RC) rt BEST COPY AVAILABLE