Duckworth Lewis
101 pages
English

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101 pages
English

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Description

Name cricket's most famous partnership nowadays and one can forget Hobbs and Sutcliffe, Statham and Trueman or Lillee and Thomson. Instead one has to turn to Duckworth and Lewis, the two statisticians who brought order to the one-day game when rain interfered. These days, almost every weather-truncated one-day match throughout the world is decided by the Duckworth Lewis method. This book tells the story behind it, how it came into being and how the pair were criticised when commentators failed to understand the logic behind their system.

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Informations

Publié par
Date de parution 16 avril 2011
Nombre de lectures 0
EAN13 9781907524271
Langue English
Poids de l'ouvrage 1 Mo

Informations légales : prix de location à la page 0,0100€. Cette information est donnée uniquement à titre indicatif conformément à la législation en vigueur.

Extrait

SportsBooks Limited
Copyright Frank Duckworth and Tony Lewis 2011
This ebook edition first published in 2011
The right of Frank Duckworth and Tony Lewi to be identified as author of this work has been asserted in accordance with Section 77 of the Copyright, Designs and Patents Act 1988
This ebook is copyright material and must not be copied, reproduced, transferred, distributed, leased, licensed or publicly performed or used in any way except as specifically permitted in writing by the publishers, as allowed under the terms and conditions under which it was purchased or as strictly permitted by applicable copyright law. Any unauthorised distribution or use of this text may be a direct infringement of the author’s and publisher’s rights, and those responsible may be liable in law accordingly
ISBN 9781907524271
Cover designed by Alan Hunns.
Contents
Foreword
Chapter 1 Frank Duckworth’s story
Chapter 2 Tony Lewis’s story
Chapter 3 Why the method was needed
Chapter 4 Combined forces
Chapter 5 In at the deep end
Chapter 6 First applications – a New Year hangover
Chapter 7 Vera and Jerry – our skins thicken
Chapter 8 Fame and recognition
Chapter 9 A few changes
Chapter 10 Challenges from around the world
Chapter 11 Island in the sun
Chapter 12 An Australian enters the scene
Chapter 13 Twenty20 and further changes
Chapter 14 What of the future?
Chapter 15 Errors and catastrophes
Chapter 16 Fame without fortune
Chapter 17 The secret of our success


Appendix 1 How it works
Appendix 2 The D/L method at a glance
Appendix 3 Answers to frequently asked questions
Notation, abbreviations and symbols
Bibliography
The Duckworth/Lewis tables
Acknowledgements
The Duckworth/Lewis method was developed in part at the University of the West of England and is the property of the International Cricket Council (ICC).
Foreword
THIS BOOK TELLS the story of how the two of us, mathematically inclined individuals previously unknown to each other, came together to invent a solution to a problem that had baffled cricket’s administrators since limited-overs cricket started to be played in the 1960s. The solution we arrived at has become known as ‘The Duckworth/Lewis method’ and it is now used all over the world, not only at all levels of the professional game but often in the recreational game as well.
Although it is generally admitted to work well, you’d think, judging from the many comments on TV and radio and in the press, that the Duckworth/Lewis method was one of the most mathematically complex and incomprehensible systems ever devised.
It is no such thing. The mathematics are very simple and straightforward and anyone, apart from the totally innumerate, can easily understand how it works if they are prepared to make just a little effort.
But it is mathematical. It had to be mathematical because how to reset targets in a one-day cricket match where overs were lost to the weather was a mathematical problem and so it required a mathematical solution.
We have spent all our working lives in science and mathematics, and most of the problems we have had to deal with have been mathematical, at least in part. But those for whom we worked were also educated in science and mathematics and to them mathematical solutions to problems were expected.
The world of cricket, however, is not made up of scientists and mathematicians and to many users or reporters of our method, what we regard as very simple concepts are totally foreign. The concept of a two-factor relationship, second nature to ourselves, is quite alien to most TV commentators or press reporters. They can appreciate that the runs that can be scored from any point in a limited-overs innings depend on both how many overs remain and how many wickets are in hand, but they have difficulty realising that the effects of these two factors cannot simply be added one to the other; they are interdependent. So they must be described by a mathematical formula which shows how the effect of overs remaining depends on the number of wickets that are in hand and how the effect of wickets in hand depends on the number of overs still to come.
In this book we shall endeavour to explain the method in the simplest of terms. We will also tell the full story of why our method was needed, how it came about and how it gradually became accepted as the fairest and most practical way of producing a satisfactory result in rain-affected matches. We shall describe the problems we faced and our deliberations which led to the method being as it is. We shall tell of the reactions of players, officials, spectators and reporters and we shall relate the catastrophes for teams that fell foul of it.
Even if, having read the book cover to cover, you still find the method confusing, all we ask is that you don’t blame us for introducing mathematics into the game. If you were in France and inadvertently contravened some local rule or regulation, you wouldn’t blame the French for the fact that the rules were written in French. French is their language, and you would either try to translate into English or you would accept the fact that French rules are written in French and respect the consequences.
We promise that you will not need to be a mathematician to understand what we shall have to say. There will be mathematics, it is true, but you will easily be able to pass over the mathematical bits without losing the plot.
We think it is a fascinating story, one that we have enjoyed telling, and we trust that you will find it interesting, stimulating and, not least, entertaining.
Frank Duckworth and Tony Lewis
April 2011
Chapter 1
Frank Duckworth’s story
I WAS BORN in Lytham St Annes, Lancashire, soon after the outbreak of the Second World War and I was six years old before any cricket was played at national level. My first real memory of the game was the 1948 visit of The Invincibles when I recall my grandfather remarking that England’s primary object was to ‘get that man Bradman out’.
My favourite player was Denis Compton. My sister June, five years older, had a ‘crush’ on him. Looking back I suspect that this was because he was particularly good looking and his picture appeared in all the papers advertising Brylcreem. The first innings of his I remember was at the first Test at Trent Bridge when he fell on his stumps after making 184.
I loved playing cricket, especially batting, but I lacked the coordination to be successful. Most of my early cricket was played on the corner field with a pile of jackets replacing the stumps. The development of my real interest in the game was largely due to a school friend, George Mills. In his back yard, using a worn-out tennis ball, and with three stumps drawn on the garage door, we simulated matches between real teams. One run was scored for returning the ball to the bowler, two for it passing the bowler, four for reaching the front gate, and six for hitting the front gate on the full toss or clearing it. If the ball went over the side partition wall and hit Mrs Bent’s landing window next door, it was six and out.
We used to cycle to Stanley Park, Blackpool, to watch Lancashire when they played their one match of the season there. And during a Washbrook–Ikin opening century partnership we took out our notebooks and drew a line showing the ball’s path for every run they scored – maybe we were the original inventors of the ‘wagon wheel’?
Despite this enthusiasm, my ability never improved. Whereas George was to go on to become opening bat for our school, King Edward VII, Lytham, I never progressed beyond representing my junior school house. My highest score was, and remains, 11 not out. So when I left school to go to Liverpool University, my interest in cricket was purely as a spectator and as an avid listener to John Arlott, Rex Alston and those that followed. I was purely an ‘armchair cricketer’.
At school, my best subject had always been maths. But I had been advised that one could not make a career from it, so it was physics I studied at Liverpool. After graduating I stayed on to study for a PhD. The average time for completion of a PhD in physics was between five and six years, but in metallurgy it took no longer than three. So it was metallurgy to which I turned.
This was a terrible mistake. I had an awful research project, under-funded and ill-conceived, and I never took to metallurgy. But in successfully managing to interpret some very sparse results, the seeds were sown for my eventually becoming a statistical analyst.
My main claim to fame during those postgraduate years (1961–5) was that for three months during the spring of 1962 I shared a house with John Lennon of The Beatles. I, and three other students, lodged with his Aunt Mimi, the woman who brought him up.
Not that we had much to do with him. We heard him plucking his guitar occasionally but the only time I spoke to him was on a number 4 bus coming home from the Pier Head one night. We were sat opposite each other and I said, ‘Hello John,’ to which he replied ‘uh.’ These were the only words we ever exchanged during three months under the same roof.
Having left these lodgings, because Aunt Mimi and I just didn’t get on (we might have if she’d allowed us shivering students to use the electric fire when we got home after 9pm), I moved to a large house where Johnny ( Think of a Number ) Ball resided. Johnny was a stand-up comedian at the time, having just completed a season working as a Redcoat at Butlins in Blackpool (‘you spend all day getting folks together and all night keeping them apart’ was one of his gags). Years later he was to do great things making maths and science come alive for youngsters. I had the pleasure of meeting him again at our local school (Rednock School, Dursley) a few years back, when we were both giving talks to pupils on the same day.
By hook or by crook, largely by crook to be honest, I managed to get my PhD and moved down to th

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