Maximum Likelihood Inference for Log-linear Models Subject to Constraints of Double Monotone Dependence

To model an hypothesis of double monotone dependence between two ordinal categorical variables A and B usually a set of symmetric odds ratios defined on the joint probability function is subject to linear inequality constraints. Conversely in this paper two sets of asymmetric odds ratios defined, respectively, on the conditional distributions of A given B and on the conditional distributions of B given A are subject to linear inequality constraints. If the joint probabilities are parameterized by a saturated log-linear model, these constraints are nonlinear inequality constraints on the log-linear parameters. The problem here considered is a non-standard one both for the presence of nonlinear inequality constraints and for the fact that the number of these constraints is greater than the number of the parameters of the saturated log-linear model.This work has been supported by the COFIN 2002 project, references 2002133957_002, 2002133957_004. Preliminary findings have been presented at SIS (Società Italiana di Statistica) Annual Meeting, Bari, 2004.     

A Comparative Study of Model-based Tests of Independence for Ordinal Data Using the Bootstrap

When analyzing categorical data using loglinear models in sparse contingency tables, asymptotic results may fail. In this paper the empirical properties of three commonly used asymptotic tests of independence, based on the uniform association model for ordinal data, are investigated by means of Monte Carlo simulation. Five different bootstrapped tests of independence are presented and compared to the asymptotic tests. The comparisons are made with respect to both size and power properties of the tests. Results indicate that the asymptotic tests have poor size control. The test based on the estimated association parameter is severely conservative and the two chi-squared tests (Pearson, likelihood-ratio) are both liberal. The bootstrap tests that either use a parametric assumption or are based on non-pivotal test statistics do not perform better than the asymptotic tests in all situations. The bootstrap tests that are based on approximately pivotal statistics provide both adjustment of size and enhancement of power. These tests are therefore recommended for use in situations similar to those included in the simulation study.     

What drives a tough call: Determining the importance of contingency factors and individual characteristics in communication executives’ stance decision-making through a conjoint analysis

To further the understanding of how communication executives make tough calls in times of organizational-public conflict, we use a conjoint analysis to identify key drivers for organizational stance decision-making. This is the first-ever conjoint analysis applied to advancing the contingency theory of strategic conflict management by examining the relative importance of key contingency factors as determined by practitioners with varied individual characteristics. This study investigates: 1) the relevant importance of and dynamics between three key contingency factors (i.e., external threats, organizational characteristics, and dominant coalition characteristics); 2) the influence of individual characteristics (e.g., gender, experience, and personal ethics) in stance decision-making process; and 3) how different types of organizational stances (i.e., general stance, action-based accommodation, and qualified-rhetoric-mixed accommodation) are determined by these contingency factors and individual characteristics in different conflict situations. Results generated among our communication executive participants include: individual characteristics (i.e., gender, ethics and social responsibility, whistleblowing tendencies, and over 20 years in the communications field) are influential for their strategic conflict management decision-making. Implications for refining the contingency theory and unearthing complex public relations decision-making processes via novel statistical techniques are discussed.     

The dual-continuum approach: An extension of the contingency theory of strategic conflict management

This article examines the limitations of using a single advocacy-accommodation continuum when depicting organizational stance and movement in conflict situations (Cancel et al., 1997). The authors argue that advocacy and accommodation can vary independently in response to a variety of contingent factors. To comprehensively capture the locations and motions that are possible in organization-public conflicts, a two-continuum approach is proposed. Separate assessment of the effects of contingency variables on advocacy and accommodation can be used to accurately locate organizational stance along advocacy and accommodation continua. Strategic alternatives that cannot be depicted using a single continuum (such as favorable alignment of organization advocacy/public accommodation or unilateral change on the part of one party) can be captured if separate continua are employed. By depicting initial stances and desired directions of movement for both the organization and public, the dual-continuum approach can also provide practical guidance to public relations professionals in selecting strategies for achieving preferred outcomes and evaluating their effectiveness.     

Contingent Eclecticism

For more than a century, methodological diversity within the social sciences has been the source of recurrent paradigm wars, and no obvious winner seems to be in sight. The aim of this article is to explore the contingencies underlying this diversity. It is argued that the shared condition of complexity forces us to adopt a pragmatic perspective from which even relevant ontological and epistemological assumptions should be thought of as contextual rather than absolute. In particular, the extent to which social causality is perceived as stable and universal vs. dynamic and contextual and the extent to which research‐related reflexivity is an issue appear to set apart the different approaches. Towards the end of the article examples of methodological fit and misfit are provided to illustrate the relevancy of the “contingent eclecticism” observed in practice.     

Phase-II monitoring and diagnosing of multivariate categorical processes using generalized linear test-based control charts

In this paper, two control charts based on the generalized linear test (GLT) and contingency table are proposed for Phase-II monitoring of multivariate categorical processes. The performances of the proposed methods are compared with the exponentially weighted moving average-generalized likelihood ratio test (EWMA-GLRT) control chart proposed in the literature. The results show the better performance of the proposed control charts under moderate and large shifts. Moreover, a new scheme is proposed to identify the parameter responsible for an out-of-control signal. The performance of the proposed diagnosing procedure is evaluated through some simulation experiments.     

Bayesian Analysis of Contingency Tables

ABSTRACT

The display of the data by means of contingency tables is used in different approaches to statistical inference, for example, to broach the test of homogeneity of independent multinomial distributions. We develop a Bayesian procedure to test simple null hypotheses versus bilateral alternatives in contingency tables. Given independent samples of two binomial distributions and taking a mixed prior distribution, we calculate the posterior probability that the proportion of successes in the first population is the same as in the second. This posterior probability is compared with the p-value of the classical method, obtaining a reconciliation between both results, classical and Bayesian. The obtained results are generalized for r × s tables.     

CEO duality and firm performance: The moderating roles of other executives and blockholding outside directors

This study examines how the effect of CEO duality on firm performance is affected by two internal governance forces – namely other executives in the top management team and blockholding outside directors. Results based on a longitudinal dataset from the U.S. computer industry were consistent with my hypotheses. Specifically, I found that the effect of CEO duality was negative when the CEO had dominant power relative to other executives and when the board had a blockholding outside director, but was nonsignificant otherwise. This study enriches our understanding of the effect of CEO duality, and helps reinforce the call for the nonduality structure as the default choice and put the burden of proof on those who wish to justify otherwise on special grounds.     

Perceived professional standards and roles of public relations in China: Through the lens of Chinese public relations practitioners

As the first quantitative examination of perceived public relations professional standards in China using an online survey, this study was designed based on the standards of professional standards inventory Cameron, Sallot, & Lariscy (1996) constructed and tested among practitioners in the U.S. The survey results suggest six dimensions of perceived standards of professional performance: (1) role and function in organizational strategic planning, (2) sufficiency in professional training and preparedness, (3) gender and racial equity, (4) situational constraints, (5) licensing and organizational support, and (6) participation in the organizational decision-making team. Four dimensions of public relations roles were also identified by the survey participants: (1) brand promotion facilitator, (2) public information specialist, (3) media relations counsel, and (4) conflict management expert. Primary practice area was found to affect how Chinese practitioners perceive the six clusters of professional standards and the four identified public relations roles. These findings provide insights for both practitioners and researchers on how Chinese public relations practitioners view public relations as a profession and how the profession currently holds its professional standards in China.     

Editor's Report

There are two common methods for statistical inference on 2 × 2 contingency tables. One is the widely taught Pearson chi-square test, which uses the well-known χ²statistic. The chi-square test is appropriate for large sample inference, and it is equivalent to the Z-test that uses the difference between the two sample proportions for the 2 × 2 case. Another method is Fisher’s exact test, which evaluates the likelihood of each table with the same marginal totals. This article mathematically justifies that these two methods for determining extreme do not completely agree with each other. Our analysis obtains one-sided and two-sided conditions under which a disagreement in determining extreme between the two tests could occur. We also address the question whether or not their discrepancy in determining extreme would make them draw different conclusions when testing homogeneity or independence. Our examination of the two tests casts light on which test should be trusted when the two tests draw different conclusions.