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This book is a stimulating panoramic tour – quite different from a textbook journey – of the world of statistics in both its theory and practice, for teachers, students and practitioners.At each stop on the tour, the authors investigate unusual and quirky aspects of statistics, highlighting historical, biographical and philosophical dimensions of this field of knowledge. Each chapter opens with perspectives on its theme, often from several points of view. Five original and thought-provoking questions follow. These aim at widening readers’ knowledge and deepening their insight. Scattered among the questions are entertaining puzzles to solve and tantalising paradoxes to explain. Readers can compare their own statistical discoveries with the authors’ detailed answers to all the questions.The writing is lively and inviting, the ideas are rewarding, and the material is extensively cross-referenced.A Panorama of Statistics: Leads readers to discover the fascinations of statistics.Is an enjoyable companion to an undergraduate statistics textbook.Is an enriching source of knowledge for statistics teachers and practitioners.Is unique among statistics books today for its memorable content and engaging style.Lending itself equally to reading through and to dipping into, A Panorama of Statistics will surprise teachers, students and practitioners by the variety of ways in which statistics can capture and hold their interest.Reviews:"As befits the authors' statement that 'this is not a textbook', the structure is unusual. There are twenty-five chapters organised in five sections, each beginning with a brief perspective of a theme in statistics and finishing with five questions related to that theme. The answers provided to the questions, in section six, are as discursive and illuminating as the main body of the text. Even if you are pretty sure you know the answer, it is always worth checking what the authors have to say. Chances are that you will learn something every time. The glimpses and insights given into this enormous and far-reaching discipline succeed in being bewitching, entertaining and inviting; coverage was never the aim." "In summary, this splendid book lives up to the four 'p-values' of its title. It is panoramic in the scope of its survey of statistics, it is full of illuminating perspectives, it sets entertaining and challenging puzzles, and it explores fascinating paradoxes. Read it, enjoy it and learn from it."From Neil Sheldon, Teaching Statistics, volume 9, no. 2, May 2017
Eric Sowey, School of Economics, The University of NSW, Australia. Eric has 40 years' experience in teaching statistics and econometrics at all undergraduate and postgraduate levels and holds a UNSW Vice-Chancellor's Award for Excellence in Teaching.Peter Petocz, has been a statistics educator and researcher in statistics education for several decades. He is the author of numerous academic journal articles, book chapters and refereed conference presentations on various aspects of statistics pedagogy (over 40 during the last decade). Peter has been co-editor of the Statistics Education Research Journal (SERJ) since 2008, and has been involved with organising the two most recent International Conferences on Teaching Statistics.
Preface ixAcknowledgments xiPart I Introduction 11 Why is statistics such a fascinating subject? 32 How statistics differs from mathematics 133 Statistical literacy – essential in the 21st century! 204 Statistical inquiry on the web 26Part II Statistical description 335 Trustworthy statistics are accurate, meaningful and relevant 356 Let’s hear it for the standard deviation! 437 Index numbers – time travel for averages 508 The beguiling ways of bad statistics I 599 The beguiling ways of bad statistics II 66Part III Preliminaries to inference 7510 Puzzles and paradoxes in probability 7711 Some paradoxes of randomness 8412 Hidden risks for gamblers 9113 Models in statistics 9914 The normal distribution: history, computation and curiosities 107Part IV Statistical inference 11515 The pillars of applied statistics I – estimation 11716 The pillars of applied statistics II – hypothesis testing 12217 ‘Data snooping’ and the significance level in multiple testing 12918 Francis Galton and the birth of regression 13519 Experimental design – piercing the veil of random variation 14120 In praise of Bayes 149Part V Some statistical byways 15721 Quality in statistics 15922 History of ideas: statistical personalities and the personalities of statisticians 16523 Statistical eponymy 17824 Statistical ‘laws’ 18225 Statistical artefacts 192Part VI Answers 19726 Answers to the chapter questions 199Index 306
"Emphatically, this is not a textbook, but it could be an immensely useful resource to teachers who wish to demonstrate the power and diversity of statistical reasoning, or set interesting tasks for their charges."(John Haigh, Significance, Volume 14, Issue 4, August 2017)