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Conjoint Associate Professor John Best

Conjoint Associate Professor

School of Mathematical and Physical Sciences (Statistics)

Career Summary

Biography

Research Expertise
Goodness of Fit & Ranking Methods for Experimental Design

Qualifications

  • Doctor of Philosophy, University of Wollongong

Keywords

  • Goodness of Fit
  • Physical Science

Fields of Research

Code Description Percentage
019999 Mathematical Sciences not elsewhere classified 20
010499 Statistics not elsewhere classified 70
080299 Computation Theory and Mathematics not elsewhere classified 20

Professional Experience

UON Appointment

Title Organisation / Department
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Publications

For publications that are currently unpublished or in-press, details are shown in italics.


Book (1 outputs)

Year Citation Altmetrics Link
2009 Rayner JC, Thas O, Best DJ, Smooth Tests of Goodness of Fit: Using R, John Wiley & Sons (Asia), Singapore, 272 (2009) [A3]
Co-authors John Rayner

Journal article (28 outputs)

Year Citation Altmetrics Link
2015 Rayner JCW, Best DJ, Thas O, 'Extended Analysis of At Least Partially Ordered Multi-factor ANOVA', AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 57 211-224 (2015)
DOI 10.1111/anzs.12113
Co-authors John Rayner
2014 Best DJ, Rayner JCW, 'Conover's F test as an alternative to durbin's test', Journal of Modern Applied Statistical Methods, 13 76-83 (2014) [C1]
Co-authors John Rayner
2014 Best DJ, Rayner JCW, Allingham D, 'A note on formulae for CMH statistics for JAR data', Food Quality and Preference, 31 19-21 (2014) [C1]

Cochran-Mantel-Haenszel (CMH) test statistics can be used to compare products rated on JAR 'just about right' scales and for similar categorical data. In this note we consider the... [more]

Cochran-Mantel-Haenszel (CMH) test statistics can be used to compare products rated on JAR 'just about right' scales and for similar categorical data. In this note we consider the case of paired or related data. The simplified statistics we give allow 'by hand' calculation when the data set is small. We also give an R package for larger data sets or for when the user is not interested in 'by hand' calculation. © 2013 Elsevier Ltd.

DOI 10.1016/j.foodqual.2013.07.006
Co-authors John Rayner
2014 Best DJ, Rayner JCW, 'An Alternative to Page's Test Permitting Both Tied and Missing Data', Journal of Statistical Theory and Practice, (2014)

Data consisting of ranks within blocks are considered for randomized complete block layouts where treatment effects are expected to be ordered. Ranks with and without ties are con... [more]

Data consisting of ranks within blocks are considered for randomized complete block layouts where treatment effects are expected to be ordered. Ranks with and without ties are considered, as well as missing values. A small indicative test size study indicates both a new test and the Page test, modified by Thas et al. (2012) to easily permit ties, perform well. An advantage of the new test is that it can be easily applied to data with missing values. Three real examples are given. One of these illustrates a quadratic trend test. Comparisons between the new test and the Alvo and Cabilio (1995) extended Page test for missing values are given. © 2014 Copyright © Grace Scientific Publishing, LLC.

DOI 10.1080/15598608.2014.940098
2013 Rayner JCW, Best DJ, 'Extended Anova And Rank Transform Procedures', Australian & New Zealand Journal Of Statistics, 55 305-319 (2013) [C1]
DOI 10.1111/anzs.12041
Citations Scopus - 1Web of Science - 1
Co-authors John Rayner
2012 Thas O, Best DJ, Rayner JC, 'Using orthogonal trend contrasts for testing ranked data with ordered alternatives', Statistica Neerlandica, 66 452-471 (2012) [C1]
DOI 10.1111/j.1467-9574.2012.00525.x
Co-authors John Rayner
2012 Best DJ, Rayner JC, Thas O, 'Comparison of some tests of fit for the inverse Gaussian distribution', Advances in Decision Sciences, 2012 150303 (2012) [C1]
Co-authors John Rayner
2011 De Boeck B, Thas O, Rayner JC, Best DJ, 'Generalised smooth tests for the generalised Pareto distribution', Journal of Statistical Theory and Practice, 5 737-750 (2011) [C1]
DOI 10.1080/15598608.2011.10483742
Co-authors John Rayner
2011 Rayner JC, Thas O, Best DJ, 'Smooth tests of goodness of fit', Wiley Interdisciplinary Reviews: Computational Statistics, 3 397-406 (2011) [C1]
Co-authors John Rayner
2011 De Boeck B, Thas O, Rayner JC, Best DJ, 'Smooth tests for the gamma distribution', Journal of Statistical Computation and Simulation, 81 843-855 (2011) [C1]
DOI 10.1080/00949650903520936
Citations Scopus - 1Web of Science - 1
Co-authors John Rayner
2011 Best DJ, Rayner JC, Allingham D, 'A statistical test for ranking data from partially balanced incomplete block designs', Journal of Sensory Studies, 26 81-84 (2011) [C1]
DOI 10.1111/j.1745-459X.2010.00324.x
Citations Scopus - 2Web of Science - 1
Co-authors John Rayner
2011 Best DJ, Rayner JC, Thas O, 'Easily appled tests of fit for the Rayleigh distribution', Sankhya B - Applied and Interdisciplinary Statistics, 72 254-263 (2011) [C1]
Citations Scopus - 2
Co-authors John Rayner
2010 Rayner JCW, Thas O, Best DJ, 'Smooth Tests of Goodness of Fit: Using R: Second Edition', Smooth Tests of Goodness of Fit: Using R: Second Edition, (2010)

In this fully revised and expanded edition of Smooth Tests of Goodness of Fit, the latest powerful techniques for assessing statistical and probabilistic models using this proven ... [more]

In this fully revised and expanded edition of Smooth Tests of Goodness of Fit, the latest powerful techniques for assessing statistical and probabilistic models using this proven class of procedures are presented in a practical and easily accessible manner. Emphasis is placed on modern developments such as data-driven tests, diagnostic properties, and model selection techniques. Applicable to most statistical distributions, the methodology described in this book is optimal for deriving tests of fit for new distributions and complex probabilistic models, and is a standard against which new procedures should be compared. New features of the second edition include: Expansion of the methodology to cover virtually any statistical distribution, including exponential families. Discussion and application of data-driven smooth tests. Techniques for the selection of the best model for the data, with a guide to acceptable alternatives. Numerous new, revised, and expanded examples, generated using R code. Smooth Tests of Goodness of Fit is an invaluable resource for all methodological researchers as well as graduate students undertaking goodness-of-fit, statistical, and probabilistic model assessment courses. Practitioners wishing to make an informed choice of goodness-of-fit test will also find this book an indispensible guide. Reviews of the first edition: "This book gives a very readable account of the smooth tests of goodness of fit. The book can be read by scientists having only an introductory knowledge of statistics. It contains a fairly extensive list of references; research will find it helpful for the further development of smooth tests." --T.K. Chandra, Zentralblatt für Mathematik und ihre Grenzgebiete, Band 73, 1/92' "An excellent job of showing how smooth tests (a class of goodness of fit tests) are generally and easily applicable in assessing the validity of models involving statistical distributions....Highly recommended for undergraduate and graduate libraries." --Choice. "The book can be read by scientists having only an introductory knowledge of statistics. It contains a fairly extensive list of references; researchers will find it helpful for the further development of smooth tests."--Mathematical Reviews. "Very rich in examples . . . Should find its way to the desks of many statisticians." --Technometrics. © 2009 John Wiley & Sons (Asia) Pte Ltd.

DOI 10.1002/9780470824443
2010 Best DJ, Rayner JC, Thas O, 'Four tests of fit for the beta-binomial distribution', Journal of Applied Statistics, 37 1547-1554 (2010) [C1]
DOI 10.1080/02664760903089664
Co-authors John Rayner
2010 Best DJ, Rayner JC, Thas O, 'Moment tests of fit for some discrete distributions with ecological applications', International Journal of Ecological Economics and Statistics, 17 1-15 (2010) [C1]
Co-authors John Rayner
2009 Best DJ, Rayner JC, Thas O, 'Anscombe's Tests of fit for the negative binomial distribution', Journal of Statistical Theory and Practice, 3 555-565 (2009) [C1]
DOI 10.1080/15598608.2009.10411946
Co-authors John Rayner
2009 Rayner JC, Best DJ, Thas O, 'Generalised smooth tests of goodness of fit', Journal of Statistical Theory and Practice, 3 665-679 (2009) [C1]
DOI 10.1080/15598608.2009.10411953
Co-authors John Rayner
2009 Thas O, Rayner JC, Best DJ, De Boeck D, 'Informative statistical analyses using smooth goodness of fit tests', Journal of Statistical Theory and Practice, 3 705-733 (2009) [C1]
DOI 10.1080/15598608.2009.10411955
Co-authors John Rayner
2009 Rayner JC, Best DJ, Thas O, 'Guest editors', Journal of Statistical Theory and Practice, 3 (2009) [C2]
Co-authors John Rayner
2009 Rayner JC, Thas O, Best DJ, 'Introduction to modern goodness of fit methods', Journal of Statistical Theory and Practice, 3 537-541 (2009) [C3]
DOI 10.1080/15598608.2009.10411944
Co-authors John Rayner
2008 Best DJ, Rayner JC, Thas O, 'Tests of fit for the logarithmic distribution', Journal of Applied Mathematics and Decision Sciences, 2008 463781 (2008) [C1]
DOI 10.1155/2008/463781
Citations Scopus - 1
Co-authors John Rayner
2008 Best DJ, Rayner JC, Thas O, 'Comparison of some tests of fit for the Laplace distribution', Computational Statistics and Data Analysis, 52 5338-5343 (2008) [C1]
DOI 10.1016/j.csda.2008.05.023
Citations Scopus - 3Web of Science - 1
Co-authors John Rayner
2008 Best DJ, Rayner JC, Thas O, 'X-2 and its components as tests of normality for grouped data', Journal of Applied Statistics, 35 481-492 (2008) [C1]
DOI 10.1080/02664760701835219
Citations Scopus - 2Web of Science - 1
Co-authors John Rayner
2007 Szczerbanik MJ, Scott KJ, Paton JE, Best DJ, 'Susceptibility of Japanese pears to low concentrations of ethylene during storage', Australian Journal of Experimental Agriculture, 47 1480-1483 (2007) [C1]
DOI 10.1071/ea06186
Citations Scopus - 1Web of Science - 1
2007 Best DJ, Rayner JC, Thas O, 'Comparison of five tests of fit for the extreme value distribution', Journal of Statistical Theory and Practice, 1 89-99 (2007) [C1]
Co-authors John Rayner
2007 Best DJ, Rayner JC, Thas O, 'Goodness of fit for the zero-truncated Poisson distribution', Journal of Statistical Computation and Simulation, 77 585-591 (2007) [C1]
DOI 10.1080/10629360600569329
Citations Scopus - 4Web of Science - 2
Co-authors John Rayner
2007 Best DJ, Rayner JC, 'Chi-squared components for tests of fit and improved models for the grouped exponential distribution', Computational Statistics and Data Analysis, 51 3946-3954 (2007) [C1]
DOI 10.1016/j.csda.2006.03.014
Citations Scopus - 3Web of Science - 2
Co-authors John Rayner
2006 Thas O, Best DJ, Rayner JC, 'Nonparametric analysis of blocked ordered categories data: some examples revisited', Journal of Applied Mathematics and Decision Sciences, 2006 - (2006) [C1]
DOI 10.1155/JAMDS/2006/31089
Co-authors John Rayner
Show 25 more journal articles

Conference (4 outputs)

Year Citation Altmetrics Link
2011 Rayner JC, Best DJ, 'Nonparametric tests for two factor designs with an application to latin squares', Proceedings of the 4th Applied Statistics Education and Research Collaboration (ASEARC) Conference, Parramatta, NSW (2011) [E1]
Co-authors John Rayner
2011 Best DJ, Rayner JC, Thas O, 'Smooth tests of fit for a mixture of two Poisson distributions', Proceedings of the 4th Applied Statistics Education and Research Collaboration (ASEARC) Conference, Parramatta, NSW (2011) [E1]
Co-authors John Rayner
2009 Best DJ, Rayner JC, Thas O, 'Nonparametric tests for randomized block data with ties and ordered alternatives', ASEARC: Proceedings of the Third Annual ASEARC Research Conference, Newcastle, NSW (2009) [E1]
Co-authors John Rayner
2008 Best DJ, Rayner JC, Thas O, 'Tests of fit for the beta binomial distribution', JSM 2008 Abstract Book, Denver, CO (2008) [E3]
Co-authors John Rayner
Show 1 more conference
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Conjoint Associate Professor John Best

Position

Conjoint Associate Professor
School of Mathematical and Physical Sciences
Faculty of Science and Information Technology

Focus area

Statistics

Contact Details

Email john.best@newcastle.edu.au
Phone (02) 4921 5515
Fax (02) 4921 6898

Office

Room E1.12
Building Science Offices
Location Ourimbah
10 Chittaway Road
Ourimbah, NSW 2258
Australia
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