2021 |
Lombardo R, Camminatiello I, D'Ambra A, Beh EJ, 'Assessing the Italian tax courts system by weighted three-way log-ratio analysis', Socio-Economic Planning Sciences, 73 (2021) [C1]
Deciding on what should be the most suitable reforms of a national judicial system, whether this means reorganising a courts' structure or offering incetives to judges, requi... [more]
Deciding on what should be the most suitable reforms of a national judicial system, whether this means reorganising a courts' structure or offering incetives to judges, requires more empirical evidence. The efficiency of the public judicial system is important to any functioning democracy as it affects several aspects of citizens¿ life. As a consequence, new statistical methodologies are required for further valuable insights into the issues that affect the effectiveness of a judicial system. The current study attempts to fill this gap by introducing a new statistical method to investigate the heterogeneity among Italian judicial courts. Here we propose a generalisation of log-ratio analysis for the analysis of the association between the variables of a three-way contingency table. Our focus of this investigation will be on the tax court system of the Italian judicial system. Log-ratio analysis presents many advantages, two of which are the computation and the visual representation of the odds ratios on which the analysis is based. For three-way tables, a conditional odds ratio reflects the likelihood that an event (say tax disputes) will take place in a particular geographical area (say North Italy) instead of an another (say South Italy) given a specific condition (type of justice court). Interestingly, the three-way log-ratio analysis presented in this paper allows one to visually describe these conditional odds-ratios in terms of point distances in a biplot between the types of justice court located in different geographical areas of Italy.
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2020 |
D'Ambra A, Amenta P, Beh EJ, 'Confidence regions and other tools for an extension of correspondence analysis based on cumulative frequencies', ASTA-ADVANCES IN STATISTICAL ANALYSIS, (2020)
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2020 |
Damianidou D, Arthur-Kelly M, Foggett J, Beh E, Eidels A, 'Associating Cognitive Functions with Technology Features Used to Support Employment for People with Intellectual and Developmental Disability', Advances in Neurodevelopmental Disorders, 4 413-429 (2020) [C1]
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2020 |
Palla L, Chapman A, Beh E, Pot G, Almiron-Roig E, 'Where do adolescents eat less-healthy foods? Correspondence analysis and logistic regression results from the UK national diet and nutrition survey', Nutrients, 12 1-19 (2020) [C1]
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2020 |
Abolghasemi M, Beh E, Tarr G, Gerlach R, 'Demand forecasting in supply chain: The impact of demand volatility in the presence of promotion', Computers and Industrial Engineering, 142 (2020) [C1]
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2020 |
Lombardo R, Takane Y, Beh EJ, 'Familywise decompositions of Pearson s chi-square statistic in the analysis of contingency tables', Advances in Data Analysis and Classification, 14 629-649 (2020) [C1]
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2019 |
Lombardo R, Camminatiello I, Beh EJ, 'Assessing Satisfaction with Public Transport Service by Ordered Multiple Correspondence Analysis', Social Indicators Research, 143 355-369 (2019) [C1]
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2019 |
Lombardo R, Beh EJ, Guerrero L, 'Analysis of three-way non-symmetrical association of food concepts in cross-cultural marketing', Quality and Quantity, 53 2323-2337 (2019) [C1]
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2019 |
Beh EJ, Lombardo R, 'Multiple and multiway correspondence analysis', WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL STATISTICS, 11 (2019) [C1]
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2019 |
Beh EJ, Lombardo R, 'A genealogy of correspondence analysis: part 2 - the variants', Electronic Journal Of Applied Statistical Analysis, 12 552-603 (2019) [C1]
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2018 |
Beh EJ, Lombardo R, Alberti G, 'Correspondence analysis and the Freeman Tukey statistic: A study of archaeological data', Computational Statistics and Data Analysis, 128 73-86 (2018) [C1]
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2018 |
Beh EJ, 'Exploring how to simply approximate the P-value of a chi-squared statistic', Austrian Journal of Statistics, 47 63-75 (2018) [C1]
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2018 |
Beh EJ, Lombardo R, 'An algebraic generalisation of some variants of simple correspondence analysis', METRIKA, 81 423-443 (2018) [C1]
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2018 |
Tran D, Beh EJ, Hudson IL, 'The Aggregate Association Index applied to stratified 2 × 2 tables: Application to the 1893 election data in New Zealand', Statistical Journal of the IAOS, 34 379-394 (2018) [C1]
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2018 |
Velasco C, Beh EJ, Le T, Marmolejo-Ramos F, 'The shapes associated with the concept of sweet and sour foods', Food Quality and Preference, 68 250-257 (2018) [C1]
Research on taste-shape correspondences has focused on one-to-one taste/shape matching tasks. However, foods and drinks tend to involve multiple shapes (or shape attributes) and t... [more]
Research on taste-shape correspondences has focused on one-to-one taste/shape matching tasks. However, foods and drinks tend to involve multiple shapes (or shape attributes) and tastes that co-occur at different moments of our eating experiences. In the present research, we assessed whether food concepts involving more than one taste (e.g., ¿sweet and sour¿) would be associated with pairs of round and/or angular shapes. The participants matched pairs comprising angular and round shapes with ¿sweet and sour¿ food concepts more often than with other single taste and taste combination concepts, in a manner that is broadly consistent with studies involving one-to-one taste/shape matches. These results were observed both when the participants were presented with the shape pairs alone (Experiment 1) or along with a product's packaging (Experiment 2). We conclude by presenting possible explanations for the results obtained, as well as directions for future research.
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2018 |
Trafimow D, Amrhein V, Areshenkoff CN, Barrera-Causil CJ, Beh EJ, Bilgiç YK, et al., 'Manipulating the alpha level cannot cure significance testing', Frontiers in Psychology, 9 1-7 (2018) [C1]
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2017 |
Chapman AN, Beh EJ, Palla L, 'Application of Correspondence Analysis to Graphically Investigate Associations between Foods and Eating Locations', Studies in Health Technology and Informatics, 235 166-170 (2017) [C1]
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2016 |
Lombardo R, Beh EJ, Kroonenberg PM, 'Modelling Trends in Ordered Correspondence Analysis Using Orthogonal Polynomials', Psychometrika, 81 325-349 (2016) [C1]
The core of the paper consists of the treatment of two special decompositions for correspondence analysis of two-way ordered contingency tables: the bivariate moment decomposition... [more]
The core of the paper consists of the treatment of two special decompositions for correspondence analysis of two-way 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 higher-order moments of the ordered categories. To aid such interpretations, we propose a new type of graphical display¿the polynomial biplot.
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2016 |
Diah AWM, Holdsworth CI, Nur D, Beh E, 'Statistical modelling of the conductivity performance of poly(3,4-ethylene- dioxythiophene/poly(styrene sulfonic acid) films', Current Analytical Chemistry, 12 124-140 (2016) [C1]
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 corres... [more]
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(3,4-ethylenedioxythiophene) (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 spun-cast layer of PEDOT/PSS over the entire substrate for these intended applications is a function of the spin-coating 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 spin-coating 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 spin-coating 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 spin-coating 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, spin-coating 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 4000-5000 rpm are higher and more precise than those obtained at 2000-3000 rpm. Based on the results of this study, we have standardised conductivity measurements of PEDOT/PSS films using the four-point probe by spin-coating at 4000-5000 rpm in order to obtain optimal and reproducible conductivity values.
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2016 |
Kumar N, Hossain MT, Beh EJ, Sugimoto M, Nasser M, 'Identification of differentially expressed gene using robust singular value decomposition', Current Bioinformatics, 11 366-374 (2016) [C1]
Identification of differentially expressed genes (DEG) in transcriptomic analyses is one of the important tasks to find out significantly activated/deactivated pathways. Outliers ... [more]
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 Student¿s t-test, 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; Mann-Whitney 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.
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2016 |
Lombardo R, Beh EJ, 'Variants of simple correspondence analysis', R Journal, 8 167-184 (2016) [C1]
This paper presents the R package CAvariants (Lombardo and Beh, 2017). The package performs six variants of correspondence analysis on a two-way contingency table. The main functi... [more]
This paper presents the R package CAvariants (Lombardo and Beh, 2017). The package performs six variants of correspondence analysis on a two-way contingency table. The main function that shares the same name as the package - CAvariants - allows the user to choose (via a series of input parameters) from six different correspondence analysis procedures. These include the classical approach to (symmetrical) correspondence analysis, singly ordered correspondence analysis, doubly ordered correspondence analysis, non symmetrical correspondence analysis, singly ordered non symmetrical correspondence analysis and doubly ordered non symmetrical correspondence analysis. The code provides the flexibility for constructing either a classical correspondence plot or a biplot graphical display. It also allows the user to consider other important features that allow to assess the reliability of the graphical representations, such as the inclusion of algebraically derived elliptical confidence regions. This paper provides R functions that elaborates more fully on the code presented in Beh and Lombardo (2014).
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2016 |
Lombardo R, Beh EJ, 'The prediction index of aggregate data', Journal of Applied Statistics, 43 1998-2018 (2016) [C1]
The analysis of the association between the two dichotomous variables of a 2 × 2 table arises as an important statistical issue in a number of diverse settings, such as in biomedi... [more]
The analysis of the association between the two dichotomous variables of a 2 × 2 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 2 × 2 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 - this issue shall also be explored in light of the new index.
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2015 |
Beh EJ, Lombardo R, 'Confidence Regions and Approximate p-values for Classical and Non-Symmetric Correspondence Analysis', Communications in Statistics - Theory and Methods, 44 95-114 (2015) [C1]
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2015 |
Beh EJ, 'Applied Categorical and Count Data Analysis', Australian and New Zealand Journal of Statistics, 57 164-165 (2015) [C3]
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2014 |
D'Ambra L, Beh EJ, Camminatiello I, 'Cumulative Correspondence Analysis of Two-Way Ordinal Contingency Tables', COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 43 1099-1113 (2014) [C1]
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2013 |
Beh EJ, Tran D, Hudson IL, 'A reformulation of the aggregate association index using the odds ratio', Computational Statistics and Data Analysis, 68 52-65 (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 2×2 table where only the aggregate data is known. © 2013 Published by Elsevier B.V. All rights reserved.
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2013 |
Rayner JCW, Thas O, Pipelers P, Beh EJ, 'Calculating bivariate orthonormal polynomials by recurrence', AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 55 15-24 (2013) [C1]
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2012 |
Smith DR, Beh EJ, 'Measuring 'risk' in occupational health studies: Standard methods and some alternatives for epidemiological research', Industrial Health, 50 463-465 (2012) [C3]
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2012 |
Beh EJ, 'Exploratory multivariate analysis by example using R [Book review]', Journal of Applied Statistics, 39 1381-1382 (2012) [C3]
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2012 |
Beh EJ, 'Simple correspondence analysis using adjusted residuals', Journal of Statistical Planning and Inference, 142 965-973 (2012) [C1]
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2012 |
Beh EJ, 'Biplots in Practice', JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY, 175 1073-1074 (2012) [C3]
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2012 |
Beh EJ, 'Biplots in practice [Book Review]', Journal of the Royal Statistical Society Series A -Statistics in Society, 175 1073-1074 (2012) [C3]
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2012 |
Beh EJ, Lombardo R, 'A genealogy of correspondence analysis', Australian & New Zealand Journal of Statistics, 54 137-168 (2012) [C1]
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2012 |
Beh EJ, Farver TB, 'The box-cox transformation and non-iterative estimation methods for ordinal log-linear models', Australian & New Zealand Journal of Statistics, 54 475-484 (2012) [C1]
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2012 |
Beh EJ, Holdsworth CI, 'A visual evaluation of a classification method for investigating the physicochemical properties of Portuguese wine', Current Analytical Chemistry, 8 205-217 (2012) [C1]
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2012 |
Beh EJ, Farver TB, 'A numerical evaluation of the classification of Portuguese red wine', Current Analytical Chemistry, 8 218-223 (2012) [C1]
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2012 |
Smith DR, Beh EJ, 'Asbestos Kills - No Matter How You Cut the Data', ARCHIVES OF ENVIRONMENTAL & OCCUPATIONAL HEALTH, 67 187-188 (2012) [C3]
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2012 |
Duy T, Beh EJ, Smith DR, 'Real-World Occupational Epidemiology, Part 3: An Aggregate Data Analysis of Selikoff's "20-Year Rule"', ARCHIVES OF ENVIRONMENTAL & OCCUPATIONAL HEALTH, 67 243-248 (2012) [C1]
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2012 |
Tran DT, Beh EJ, Smith DR, 'Real-world occupational epidemiology, Part 3: An aggregate data analysis of Selikoff's '20-year rule''', Archives of Environmental & Occupational Health, 67 243-248 (2012) [C1]
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2012 |
Smith DR, Beh EJ, 'Asbestos kills - No matter how you cut the data', Archives of Environmental & Occupational Health, 67 187-188 (2012) [C3]
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2012 |
Beh EJ, Farver TB, 'A computational study assessing maximum likelihood and noniterative methods for estimating the linear-by-linear parameter for ordinal log-linear models', ISRN Computational Mathematics, 396831 (2012) [C1]
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2012 |
Beh EJ, Farver TB, 'On estimating the linear-by-linear parameter for ordinal log-linear models: A computational study', ISRN Computational Mathematics, 340415 (2012) [C1]
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2011 |
Beh EJ, Smith DR, 'Real World Occupational Epidemiology, Part 2: A Visual Interpretation of Statistical Significance', ARCHIVES OF ENVIRONMENTAL & OCCUPATIONAL HEALTH, 66 245-248 (2011)
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2011 |
Beh EJ, Smith DR, 'Real world occupational epidemiology, part 2: A visual interpretation of statistical significance', Archives of Environmental & Occupational Health, 66 245-248 (2011) [C1]
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2011 |
Smith DR, Beh EJ, 'Occupational Epidemiology in the Real World: Irving Selikoff, Odds Ratios, and Asbestosis', Archives of Environmental and Occupational Health, 66 63-64 (2011) [C3]
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2011 |
Beh EJ, Smith DR, 'Real world occupational epidemiology part 1: Odds ratios, relative risk, and asbestosis', Archives of Environmental and Occupational Health, 66 119-123 (2011) [C1]
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2011 |
Smith DR, Beh EJ, 'Hirayama, passive smoking and lung cancer: 30 years on and the numbers still don't lie', Public Health, 125 179-181 (2011) [C3]
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2011 |
Lombardo R, Beh EJ, D'Ambra A, 'Studying the dependence between ordinal-nominal categorical variables via orthogonal polynomials', Journal of Applied Statistics, 38 2119-2132 (2011) [C1]
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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 1620-1632 (2011) [C1]
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2011 |
Beh EJ, Simonetti B, 'Investigating the European perception of food using moments obtained from non-symmetrical correspondence analysis', Journal of Statistical Planning and Inference, 141 2953-2960 (2011) [C1]
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2011 |
Beh EJ, Lombardo R, Simonetti B, 'A European perception of food using two methods of correspondence analysis', Food Quality and Preference, 22 226-231 (2011) [C1]
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2011 |
Beh EJ, 'Review: Understanding Biplots by John Gower, Sugnet Gardner-Lubbe and Niel Le Roux', Australian & New Zealand Journal of Statistics, 53 493-494 (2011) [C3] |
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2011 |
Beh EJ, 'Review: Biplots in Practice, by Michael Greenacre', Australian & New Zealand Journal of Statistics, 53 389-391 (2011) [C3] |
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2010 |
Beh EJ, D'Ambra L, 'Non-symmetrical correspondence analysis with concatenation and linear constraints', Australian & New Zealand Journal of Statistics, 52 27-44 (2010) [C1]
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2010 |
Beh EJ, 'The aggregate association index', Computational Statistics and Data Analysis, 54 1570-1580 (2010) [C1]
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2010 |
Lombardo R, Beh EJ, 'Simple and multiple correspondence analysis for ordinal-scale variables using orthogonal polynomials', Journal of Applied Statistics, 37 2101-2116 (2010) [C1]
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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 91-103 (2010) [C1]
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2010 |
Beh EJ, 'Elliptical confidence regions for simple correspondence analysis', Journal of Statistical Planning and Inference, 140 2582-2588 (2010) [C1]
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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, 1893-1919', Journal of the Royal Statistical Society Series A: Statistics in Society, 173 185-213 (2010) [C1]
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2010 |
Beh EJ, Farver TB, 'AN EVALUATION OF NON-ITERATIVE METHODS FOR ESTIMATING THE LINEAR-BY-LINEAR PARAMETER OF ORDINAL LOG-LINEAR MODELS (vol 51, pg 335, 2009)', AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 52 241-242 (2010) [C3]
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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 1187-1195 (2009) [C1]
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2009 |
Rayner JC, Beh EJ, 'Towards a better understanding of correlation', Statistica Neerlandica, 63 324-333 (2009) [C1]
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2009 |
Beh EJ, D'Ambra L, 'Some interpretative tools for non-symmetric correspondence analysis', Journal of Classification, 26 55-76 (2009) [C1]
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2009 |
Rayner JC, Beh EJ, 'Components of Pearson's statistic for at least partially ordered m-way contingency tables', Journal of Applied Mathematics and Decision Sciences, 2009 1-9 (2009) [C1]
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2009 |
Beh EJ, Farver TB, 'An evaluation of non-iterative methods for estimating the linear-by-linear parameter of ordinal log-linear models', Australian and New Zealand Journal of Statistics, 51 335-352 (2009) [C1]
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2008 |
Beh EJ, 'Simple correspondence analysis of nominal-ordinal contingency tables', Journal of Applied Mathematics & Decision Sciences, 2008 (2008) [C1]
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2008 |
Amenta P, Simonetti B, Beh EJ, 'Single ordinal correspondence analysis with external information', Asian Journal of Mathematics and Statistics, 1 34-42 (2008) [C1]
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2008 |
Beh EJ, 'Correspondence analysis of aggregate data: The 2x2 table', Journal of Statistical Planning and Inference, 138 2941-2952 (2008) [C1]
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2007 |
Beh EJ, Simonetti B, D'Ambra L, 'Partitioning a non-symmetric measure of association for three-way contingency tables', JOURNAL OF MULTIVARIATE ANALYSIS, 98 1391-1411 (2007) [C1]
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2007 |
Lombard R, Beh EJ, D'Ambra L, 'Non-symmetric correspondence analysis with ordinal variables using orthogonal polynomials', COMPUTATIONAL STATISTICS & DATA ANALYSIS, 52 566-577 (2007) [C1]
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2006 |
Peiris S, Beh EJ, 'Where statistics teaching can go wrong', CAL-laborate, 15 21-23 (2006) [C1] |
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2005 |
D'Ambra L, Beh EJ, Amenta P, 'Catanova for two-way contingency tables with ordinal variables using orthogonal polynomials', COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 34 1755-1769 (2005) [C1]
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2005 |
Beh EJ, 'S-PLUS code for simple and multiple correspondence analysis', COMPUTATIONAL STATISTICS, 20 415-438 (2005) [C1]
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2005 |
Beh EJ, Simonetti B, D'Ambra L, 'Three way ordinal NSCA analysis of patient satisfaction evaluation', Statistica & Applicazioni, 3 21-28 (2005) |
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2004 |
Beh EJ, 'Simple correspondence analysis: A bibliographic review', INTERNATIONAL STATISTICAL REVIEW, 72 257-284 (2004) [C1]
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2004 |
Beh EJ, 'S-PLUS code for ordinal correspondence analysis', COMPUTATIONAL STATISTICS, 19 593-612 (2004) [C1]
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2004 |
Beh EJ, Davy PJ, 'A non-iterative alternative to ordinal log-linear models', Journal of Applied Mathematics & Decision Science, 7 1-20 (2004) [C1]
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2004 |
Beh EJ, Davy PJ, 'A non-iterative alternative to ordinal log-linear models', Journal of Applied Mathematics and Decision Sciences, 8 67-86 (2004)
Log-linear 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]
Log-linear 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 re-fitting to search for the best model. Another advantage is that quadratic and higher order effects can readily be included, in contrast to conventional log-linear models which incorporate linear terms only. The focus of the discussion is the application of the new parameter estimation technique to multi-way contingency tables with at least one ordered variable. This will also be done by considering singly and doubly ordered two-way contingency tables. It will be shown by example that the resulting parameter estimates are numerically similar to corresponding maximum likelihood estimates for ordinal log-linear models. Copyright© 2004, Lawrence Erlbaum Associates, Inc.
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2001 |
Beh EJ, 'Confidence circles for correspondence analysis using orthogonal polynomials', Journal of Applied Mathematics and Decision Sciences, 5 35-45 (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. Copyright© 2001, Lawrence Erlbaum Associates, Inc.
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2001 |
Beh EJ, 'Partitioning Pearson's chi-squared statistic for singly ordered two-way contingency tables', AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 43 327-333 (2001) [C1]
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1999 |
Beh EJ, 'Correspondence analysis of ranked data', COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 28 1511-1533 (1999) [C1]
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1999 |
Beh EJ, Davy PJ, 'Partitioning Pearson's chi-squared statistic for a partially ordered three-way contingency table', AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 41 233-246 (1999) [C1]
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1998 |
Beh EJ, 'A comparative study of scores for correspondence analysis with ordered categories', BIOMETRICAL JOURNAL, 40 413-429 (1998) [C1]
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1998 |
Beh EJ, Davy PJ, 'Partitioning Pearson's chi-squared statistic for a completely ordered three-way contingency table', AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 40 465-477 (1998) [C1]
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1997 |
Beh EJ, 'Simple Correspondence analysis of ordinal cross-classifications using orthogonal polynomials', Biometrical Journal, 39 589-613 (1997) [C1]
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Cembalo A, Lombardo R, Beh EJ, Romano G, Ferrucci M, Pisano FM, 'Assessment of Climate Change in Italy by Variants of Ordered Correspondence Analysis', Stats, 4 146-161
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