A New Constrained Stochastic Multidimensional Scaling Vector Model. An Application to the Perceived Importance of Leadership Attributes

Journal of Modelling in Management Vol. 6 No. 1, pp. 7-32, 2011

Posted: 19 Jun 2016

See all articles by Crystal Scott

Crystal Scott

University of Michigan at Dearborn - School of Management

Wayne S. DeSarbo

Pennsylvania State University

Date Written: 2011

Abstract

Purpose – Multidimensional scaling (MDS) represents a family of various geometric models for the multidimensional representation of the structure in data as well as the corresponding set of methods for fitting such spatial models. Its major uses in business include positioning, market segmentation, new product design, consumer preference analysis, etc. The purpose of this paper is to apply a new stochastic constrained MDS vector model to examine the importance of some 45 different leadership attributes as they impact perceptions of effective leadership practice.

Design/methodology/approach – The authors present a new stochastic constrained MDS vector model for the analysis of two‐way dominance data.

Findings – This constrained vector or scalar products model represents the column objects of the input data matrix by points and row objects by vectors in a T‐dimensional derived joint space. Reparameterization options are available for row and/or column representations so as to constrain or reparameterize such objects as functions of designated features or attributes. An iterative maximum likelihood‐based algorithm is devised for efficient parameter estimation.

Originality/value – The authors present an application to a study conducted to examine the importance of leadership attributes as they impact perceptions of effective leadership practice. Implications for future research and limitations are discussed.

Keywords: Leadership, Data structures, Modelling, Iterative methods

Suggested Citation

Scott, Crystal and DeSarbo, Wayne S., A New Constrained Stochastic Multidimensional Scaling Vector Model. An Application to the Perceived Importance of Leadership Attributes (2011). Journal of Modelling in Management Vol. 6 No. 1, pp. 7-32, 2011, Available at SSRN: https://ssrn.com/abstract=2796700

Crystal Scott

University of Michigan at Dearborn - School of Management ( email )

4901 Evergreen Road
Dearborn, MI 48128-1491
United States

Wayne S. DeSarbo (Contact Author)

Pennsylvania State University ( email )

University Park
State College, PA 16802
United States

Do you have a job opening that you would like to promote on SSRN?

Paper statistics

Abstract Views
139
PlumX Metrics