2016 
Lombardo R, Beh EJ, Kroonenberg PM, 'Modelling Trends in Ordered Correspondence Analysis Using Orthogonal Polynomials', Psychometrika, 81 325349 (2016)
Â© 2015, The Psychometric Society.The core of the paper consists of the treatment of two special decompositions for correspondence analysis of twoway ordered contingency tables: ... [more]
Â© 2015, The Psychometric Society.The core of the paper consists of the treatment of two special decompositions for correspondence analysis of twoway ordered contingency tables: the bivariate moment decomposition and the hybrid decomposition, both using orthogonal polynomials rather than the commonly used singular vectors. To this end, we will detail and explain the basic characteristics of a particular set of orthogonal polynomials, called Emerson polynomials. It is shown that such polynomials, when used as bases for the row and/or column spaces, can enhance the interpretations via linear, quadratic and higherorder moments of the ordered categories. To aid such interpretations, we propose a new type of graphical displayÂ¿the polynomial biplot.



2016 
Diah AWM, Holdsworth CI, Nur D, Beh E, 'Statistical modelling of the conductivity performance of poly(3,4ethylene dioxythiophene/poly(styrene sulfonic acid) films', Current Analytical Chemistry, 12 124140 (2016)
Â© 2016 Bentham Science Publishers.This paper presents a comprehensive statistical evaluation of the conductivity performance of PEDOT/PSS films generated at various spin coating ... [more]
Â© 2016 Bentham Science Publishers.This paper presents a comprehensive statistical evaluation of the conductivity performance of PEDOT/PSS films generated at various spin coating speeds (1000 to 5000 rpm) by correspondence analysis (CA), regression and ANOVA models. Poly(3,4ethylenedioxythiophene) (PEDOT) is a highly conducting insoluble polymer which, when doped with poly(styrene sulfonic acid) (PSS) in water, results in a dispersion with good film forming properties. Our interest in PEDOT/PSS is in its application as an interfacial layer and gate electrode in organic photovoltaic and organic field effect transistor devices, respectively. The generation of a homogeneous spuncast layer of PEDOT/PSS over the entire substrate for these intended applications is a function of the spincoating speed which, in turn, affects the thickness of the film and, consequently, its conductivity measured by the four point probe. From correspondence analysis, we find that only the 1000 rpm spincoating speed is strongly associated with high thickness and high resistivity (i.e. low conductivity), although further analysis of speeds 2000  5000 rpm shows that the spincoating speed is still associated with the thickness of the films, and subsequently, their conductivities, such that the thinnest and most conductive films result from the highest spincoating speed (5000 rpm). We also observed the phenomenon of the horseshoe effect from the CA displays and discussed the reasons for not resorting to detrending solutions for dealing with its presence. From multiple and nonlinear regression models, spincoating speeds 1000 and 2000 rpm were found to produce films of less precise conductivity values as reflected in the absolute value of mean of residuals of nonlinear regression models while more precise and optimal conductivity values are obtained when the films are generated between 3000 and 5000 rpm. The ANOVA models showed that the means of conductivity of films obtained at 1000 rpm is statistically significantly different to those from higher spin coating speeds and that there is no significant difference between the conductivity of films generated using spin coating speeds 2000 and 3000 rpm and between spin coating speeds 4000 and 5000 rpm. Further, the conductivity of films from spin coating speeds 40005000 rpm are higher and more precise than those obtained at 20003000 rpm. Based on the results of this study, we have standardised conductivity measurements of PEDOT/PSS films using the fourpoint probe by spincoating at 40005000 rpm in order to obtain optimal and reproducible conductivity values.



2016 
Kumar N, Hossain MT, Beh EJ, Sugimoto M, Nasser M, 'Identification of differentially expressed gene using robust singular value decomposition', Current Bioinformatics, 11 366374 (2016)
Â© 2016 Bentham Science Publishers.Identification of differentially expressed genes (DEG) in transcriptomic analyses is one of the important tasks to find out significantly activa... [more]
Â© 2016 Bentham Science Publishers.Identification of differentially expressed genes (DEG) in transcriptomic analyses is one of the important tasks to find out significantly activated/deactivated pathways. Outliers and/or the missing values are commonly observed in microarray data; however, most available statistical methods did not deal with these issues and, therefore, their analytical results were frequently skewed and deteriorated. Here, we developed a novel technique robust against outliers and missing values: a dimension reduction procedure based on robust singular value decomposition (RSVD). The RSVD was evaluated by two numerical experiments: artificially prepared and nonsmall cell lung cancer data (gene expression data). Four conventional techniques, such as StudentÂ¿s ttest, SAM, Bayesian Robust Inference for Differential Gene Expression (BRIDGE) and Linear models for microarray data (Limma), were also performed. We evaluated the area under curve (AUC) form receiver operating characteristic curves of these five methods using two experiments with 50 different conditions. The AUC values of our methods showed significantly (p<0.05; MannWhitney test) higher than those of the other methods in both experiments. We believe our proposed technique is helpful for the identification of biologically meaningful genes that change in noisy microarray data.



2015 
Beh EJ, Lombardo R, 'Confidence Regions and Approximate pvalues for Classical and NonSymmetric Correspondence Analysis', Communications in Statistics  Theory and Methods, 44 95114 (2015) [C1]



2015 
Lombardo R, Beh EJ, 'The prediction index of aggregate data', Journal of Applied Statistics, 121 (2015)
Â© 2015 Taylor & FrancisThe analysis of the association between the two dichotomous variables of a (Formula presented.) table arises as an important statistical issue in a number ... [more]
Â© 2015 Taylor & FrancisThe analysis of the association between the two dichotomous variables of a (Formula presented.) table arises as an important statistical issue in a number of diverse settings, such as in biomedical, medical, epidemiological, pharmaceutical or environmental research. When only the aggregate (or marginal) information is available, the analyst may determine the likely strength of the association between the variables. In this paper, we propose a new measure, called aggregate prediction index, that assesses the likely statistical significance of the association between the rows and columns of a (Formula presented.) table where one variable is treated as a predictor variable and the other is treated as a response variable. Further insight into the predictor's potential strength can be visually obtained by performing an asymmetric version of correspondence analysis and considering a biplot display of the two variables Â¿ this issue shall also be explored in light of the new index.



2015 
Beh EJ, 'Applied Categorical and Count Data Analysis', Australian and New Zealand Journal of Statistics, 57 164165 (2015) [C3]



2014 
D'Ambra L, Beh EJ, Camminatiello I, 'Cumulative Correspondence Analysis of TwoWay Ordinal Contingency Tables', COMMUNICATIONS IN STATISTICSTHEORY AND METHODS, 43 10991113 (2014) [C1]



2013 
Beh EJ, Tran D, Hudson IL, 'A reformulation of the aggregate association index using the odds ratio', Computational Statistics and Data Analysis, 68 5265 (2013) [C1]
Since its inception in the 1950s the odds ratio has become one of the most simple and popular measures available for analysing the association between two dichotomous variables. S... [more]
Since its inception in the 1950s the odds ratio has become one of the most simple and popular measures available for analysing the association between two dichotomous variables. Since the direction and magnitude of the association can be captured in such a simple measure, its impact has been felt throughout much of scientific research, in particular in epidemiology and clinical trials. Despite this, its applicability for analysing aggregate data has rarely been considered. In this paper we shall express a new measure of association (the aggregate association index, or AAI), in terms of the classic odds ratio. The advantage of doing so is that we are able to explore the use of the odds ratio in a context for which it was not originally intended, and that is for the analysis of a 2Ã2 table where only the aggregate data is known. Â© 2013 Published by Elsevier B.V. All rights reserved.



2013 
Rayner JCW, Thas O, Pipelers P, Beh EJ, 'Calculating bivariate orthonormal polynomials by recurrence', AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 55 1524 (2013) [C1]



2012 
Smith DR, Beh EJ, 'Measuring 'risk' in occupational health studies: Standard methods and some alternatives for epidemiological research', Industrial Health, 50 463465 (2012) [C3]



2012 
Beh EJ, 'Exploratory multivariate analysis by example using R [Book review]', Journal of Applied Statistics, 39 13811382 (2012) [C3]



2012 
Beh EJ, 'Simple correspondence analysis using adjusted residuals', Journal of Statistical Planning and Inference, 142 965973 (2012) [C1]



2012 
Beh EJ, 'Biplots in Practice', JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES ASTATISTICS IN SOCIETY, 175 10731074 (2012) [C3]



2012 
Beh EJ, 'Biplots in practice [Book Review]', Journal of the Royal Statistical Society Series A Statistics in Society, 175 10731074 (2012) [C3]



2012 
Beh EJ, Lombardo R, 'A genealogy of correspondence analysis', Australian & New Zealand Journal of Statistics, 54 137168 (2012) [C1]



2012 
Beh EJ, Farver TB, 'The boxcox transformation and noniterative estimation methods for ordinal loglinear models', Australian & New Zealand Journal of Statistics, 54 475484 (2012) [C1] 


2012 
Beh EJ, Holdsworth CI, 'A visual evaluation of a classification method for investigating the physicochemical properties of Portuguese wine', Current Analytical Chemistry, 8 205217 (2012) [C1]



2012 
Beh EJ, Farver TB, 'A numerical evaluation of the classification of Portuguese red wine', Current Analytical Chemistry, 8 218223 (2012) [C1]



2012 
Smith DR, Beh EJ, 'Asbestos Kills  No Matter How You Cut the Data', ARCHIVES OF ENVIRONMENTAL & OCCUPATIONAL HEALTH, 67 187188 (2012) [C3]



2012 
Duy T, Beh EJ, Smith DR, 'RealWorld Occupational Epidemiology, Part 3: An Aggregate Data Analysis of Selikoff's "20Year Rule"', ARCHIVES OF ENVIRONMENTAL & OCCUPATIONAL HEALTH, 67 243248 (2012) [C1]



2012 
Tran DT, Beh EJ, Smith DR, 'Realworld occupational epidemiology, Part 3: An aggregate data analysis of Selikoff's '20year rule'', Archives of Environmental & Occupational Health, 67 243248 (2012) [C1]



2012 
Smith DR, Beh EJ, 'Asbestos kills  No matter how you cut the data', Archives of Environmental & Occupational Health, 67 187188 (2012) [C3]



2012 
Beh EJ, Farver TB, 'A computational study assessing maximum likelihood and noniterative methods for estimating the linearbylinear parameter for ordinal loglinear models', ISRN Computational Mathematics, 396831 (2012) [C1]



2012 
Beh EJ, Farver TB, 'On estimating the linearbylinear parameter for ordinal loglinear models: A computational study', ISRN Computational Mathematics, 340415 (2012) [C1]



2011 
Beh EJ, Smith DR, 'Real World Occupational Epidemiology, Part 2: A Visual Interpretation of Statistical Significance', ARCHIVES OF ENVIRONMENTAL & OCCUPATIONAL HEALTH, 66 245248 (2011) [C1]



2011 
Beh EJ, Smith DR, 'Real world occupational epidemiology, part 2: A visual interpretation of statistical significance', Archives of Environmental & Occupational Health, 66 245248 (2011) [C1]



2011 
Smith DR, Beh EJ, 'Occupational Epidemiology in the Real World: Irving Selikoff, Odds Ratios, and Asbestosis', Archives of Environmental and Occupational Health, 66 6364 (2011) [C3]



2011 
Beh EJ, Smith DR, 'Real world occupational epidemiology part 1: Odds ratios, relative risk, and asbestosis', Archives of Environmental and Occupational Health, 66 119123 (2011) [C1]



2011 
Smith DR, Beh EJ, 'Hirayama, passive smoking and lung cancer: 30 years on and the numbers still don't lie', Public Health, 125 179181 (2011) [C3]



2011 
Lombardo R, Beh EJ, D'Ambra A, 'Studying the dependence between ordinalnominal categorical variables via orthogonal polynomials', Journal of Applied Statistics, 38 21192132 (2011) [C1]



2011 
Beh EJ, D'Ambra L, Simonetti B, 'Correspondence analysis of cumulative frequencies using a decomposition of Taguchi's statistic', Communications in Statistics Theory and Methods, 40 16201632 (2011) [C1]



2011 
Beh EJ, Simonetti B, 'Investigating the European perception of food using moments obtained from nonsymmetrical correspondence analysis', Journal of Statistical Planning and Inference, 141 29532960 (2011) [C1]



2011 
Beh EJ, Lombardo R, Simonetti B, 'A European perception of food using two methods of correspondence analysis', Food Quality and Preference, 22 226231 (2011) [C1]



2011 
Beh EJ, 'Review: Understanding Biplots by John Gower, Sugnet GardnerLubbe and Niel Le Roux', Australian & New Zealand Journal of Statistics, 53 493494 (2011) [C3] 


2011 
Beh EJ, 'Review: Biplots in Practice, by Michael Greenacre', Australian & New Zealand Journal of Statistics, 53 389391 (2011) [C3] 


2010 
Beh EJ, D'Ambra L, 'Nonsymmetrical correspondence analysis with concatenation and linear constraints', Australian & New Zealand Journal of Statistics, 52 2744 (2010) [C1]



2010 
Beh EJ, 'The aggregate association index', Computational Statistics and Data Analysis, 54 15701580 (2010) [C1]



2010 
Lombardo R, Beh EJ, 'Simple and multiple correspondence analysis for ordinalscale variables using orthogonal polynomials', Journal of Applied Statistics, 37 21012116 (2010) [C1]



2010 
Simonetti B, Beh EJ, D'Ambra L, 'The analysis of dependence for three way contingency tables with ordinal variables: A case study of patient satisfaction', Journal of Applied Statistics, 37 91103 (2010) [C1]



2010 
Beh EJ, 'Elliptical confidence regions for simple correspondence analysis', Journal of Statistical Planning and Inference, 140 25822588 (2010) [C1]



2010 
Hudson IL, Moore L, Beh EJ, Steel DG, 'Ecological inference techniques: An empirical evaluation using data describing gender and voter turnout at New Zealand elections, 18931919', Journal of the Royal Statistical Society Series A: Statistics in Society, 173 185213 (2010) [C1]



2010 
Beh EJ, Farver TB, 'AN EVALUATION OF NONITERATIVE METHODS FOR ESTIMATING THE LINEARBYLINEAR PARAMETER OF ORDINAL LOGLINEAR MODELS (vol 51, pg 335, 2009)', AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 52 241242 (2010) [C3]



2009 
Gauci VJ, Beckhouse AG, Lyons V, Beh EJ, Rogers PJ, Dawes IW, Higgins VJ, 'Zinc starvation induces a stress response in Saccharomyces cerevisiae that is mediated by the Msn2p and Msn4p transcriptional activators', FEMS Yeast Research, 9 11871195 (2009) [C1]



2009 
Rayner JC, Beh EJ, 'Towards a better understanding of correlation', Statistica Neerlandica, 63 324333 (2009) [C1]



2009 
Beh EJ, D'Ambra L, 'Some interpretative tools for nonsymmetric correspondence analysis', Journal of Classification, 26 5576 (2009) [C1]



2009 
Rayner JC, Beh EJ, 'Components of Pearson's statistic for at least partially ordered mway contingency tables', Journal of Applied Mathematics and Decision Sciences, 2009 19 (2009) [C1]



2009 
Beh EJ, Farver TB, 'An evaluation of noniterative methods for estimating the linearbylinear parameter of ordinal loglinear models', Australian and New Zealand Journal of Statistics, 51 335352 (2009) [C1]



2008 
Beh EJ, 'Simple correspondence analysis of nominalordinal contingency tables', Journal of Applied Mathematics & Decision Sciences, 2008 (2008) [C1]



2008 
Amenta P, Simonetti B, Beh EJ, 'Single ordinal correspondence analysis with external information', Asian Journal of Mathematics and Statistics, 1 3442 (2008) [C1]



2008 
Beh EJ, 'Correspondence analysis of aggregate data: The 2x2 table', Journal of Statistical Planning and Inference, 138 29412952 (2008) [C1]



2007 
Beh EJ, Simonetti B, D'Ambra L, 'Partitioning a nonsymmetric measure of association for threeway contingency tables', JOURNAL OF MULTIVARIATE ANALYSIS, 98 13911411 (2007) [C1]



2007 
Lombard R, Beh EJ, D'Ambra L, 'Nonsymmetric correspondence analysis with ordinal variables using orthogonal polynomials', COMPUTATIONAL STATISTICS & DATA ANALYSIS, 52 566577 (2007) [C1]



2006 
Peiris S, Beh EJ, 'Where statistics teaching can go wrong', CALlaborate, 15 2123 (2006) [C1] 


2005 
D'Ambra L, Beh EJ, Amenta P, 'Catanova for twoway contingency tables with ordinal variables using orthogonal polynomials', COMMUNICATIONS IN STATISTICSTHEORY AND METHODS, 34 17551769 (2005) [C1]



2005 
Beh EJ, 'SPLUS code for simple and multiple correspondence analysis', COMPUTATIONAL STATISTICS, 20 415438 (2005) [C1]



2005 
Beh EJ, Simonetti B, D'Ambra L, 'Three way ordinal NSCA analysis of patient satisfaction evaluation', Statistica & Applicazioni, 3 2128 (2005) 


2004 
Beh EJ, 'Simple correspondence analysis: A bibliographic review', INTERNATIONAL STATISTICAL REVIEW, 72 257284 (2004) [C1]



2004 
Beh EJ, 'SPLUS code for ordinal correspondence analysis', COMPUTATIONAL STATISTICS, 19 593612 (2004) [C1]



2004 
Beh EJ, Davy PJ, 'A noniterative alternative to ordinal loglinear models', Journal of Applied Mathematics and Decision Sciences, 8 6786 (2004)
Loglinear modeling is a popular statistical tool for analysing a contingency table. This presentation focuses on an alternative approach to modeling ordinal categorical data. The... [more]
Loglinear modeling is a popular statistical tool for analysing a contingency table. This presentation focuses on an alternative approach to modeling ordinal categorical data. The technique, based on orthogonal polynomials, provides a much simpler method of model fitting than the conventional approach of maximum likelihood estimation, as it does not require iterative calculations nor the fitting and refitting to search for the best model. Another advantage is that quadratic and higher order effects can readily be included, in contrast to conventional loglinear models which incorporate linear terms only. The focus of the discussion is the application of the new parameter estimation technique to multiway contingency tables with at least one ordered variable. This will also be done by considering singly and doubly ordered twoway contingency tables. It will be shown by example that the resulting parameter estimates are numerically similar to corresponding maximum likelihood estimates for ordinal loglinear models. CopyrightÂ© 2004, Lawrence Erlbaum Associates, Inc.



2001 
Beh EJ, 'Confidence circles for correspondence analysis using orthogonal polynomials', Journal of Applied Mathematics and Decision Sciences, 5 3545 (2001) [C1]
An alternative approach to classical correspondence analysis was developed in [3] and involves decomposing the matrix of Pearson contingencies of a contingency table using orthogo... [more]
An alternative approach to classical correspondence analysis was developed in [3] and involves decomposing the matrix of Pearson contingencies of a contingency table using orthogonal polynomials rather than via singular value decomposition. It is especially useful in analysing contingency tables which are of an ordinal nature. This short paper demonstrates that the confidence circles of Lebart, Morineau and Warwick (1984) for the classical approach can be applied to ordinal correspondence analysis. The advantage of the circles in analysing a contingency table is that the researcher can graphically identify the row and column categories that contribute or not to the hypothesis of independence. CopyrightÂ© 2001, Lawrence Erlbaum Associates, Inc.



2001 
Beh EJ, 'Partitioning Pearson's chisquared statistic for singly ordered twoway contingency tables', AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 43 327333 (2001) [C1]



1999 
Beh EJ, 'Correspondence analysis of ranked data', COMMUNICATIONS IN STATISTICSTHEORY AND METHODS, 28 15111533 (1999) [C1]



1999 
Beh EJ, Davy PJ, 'Partitioning Pearson's chisquared statistic for a partially ordered threeway contingency table', AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 41 233246 (1999) [C1]



1998 
Beh EJ, 'A comparative study of scores for correspondence analysis with ordered categories', BIOMETRICAL JOURNAL, 40 413429 (1998) [C1]



1998 
Beh EJ, Davy PJ, 'Partitioning Pearson's chisquared statistic for a completely ordered threeway contingency table', AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 40 465477 (1998) [C1]



1997 
Beh EJ, 'Simple Correspondence analysis of ordinal crossclassifications using orthogonal polynomials', Biometrical Journal, 39 589613 (1997) [C1]


