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Statistics for textile engineers

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Statistics for

Textile Engineers JRNggla

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Published by Woodhead Publishing India Pvt Ltd

Woodhead Publishing India Pvt Ltd., 303, Vardaan House, 7/28, Ansari Road, Daryaganj, New Delhi - 110002, India www.woodheadpublishingindia.com Woodhead Publishing Limited, 80 High Street, Sawston, Cambridge, CB22 3HJ UK Woodhead Publishing USA 1518 Walnut Street, Suite1100, Philadelphia www.woodheadpublishing.com

First published 2014, Woodhead Publishing India Pvt Ltd

© Woodhead Publishing India Pvt Ltd., 2014

This book contains information obtained from authentic and highly regarded sources Reprinted material is quoted with permission Reasonable efforts have been made to publish reliable data and information, but the authors and the publishers cannot assume responsibility for the validity of all materials Neither the authors nor the publishers, nor anyone else associated with this publication, shall be liable for any loss, damage or liability directly or indirectly caused or alleged to be caused by this book

Neither this book n or any part may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, microfilming and recording, or by any information storage or retrieval system, without permission in writing from Woodhead Publishing India Pvt Ltd The consent of Woodhead Publishing India Pvt Ltd does not extend to copying for general distribution, for promotion, for creating new works, or for resale Specific permission must be obtained in writing from Woodhead

Publishing India Pvt Ltd for such copying

Trademark notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation, without intent to infringe

Woodhead Publishing India Pvt Ltd ISBN: 978-93-80308-37-1 Woodhead Publishing Ltd ISBN: 978-1-78242-067-5

Woodhead Publishing Ltd e-ISBN: 978-1-78242-071-2 Prepress by DSM Soft, Chennai

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Contents Preface 1 Introduction and need of statistics 11 Introduction

1.2 Nature of textile industry today 1.3 Need for SQC techniques Statistics and basic concepts 2.1 Introduction of statistics

2.2 _ Methods of data collection

Classification and graphical representations 3.1 Introduction

3.2 Frequency distribution table

3.3 Cumulative frequency distribution table

3.4 Graphical representations of the frequency distribution 3.5 Graphical representations of the cumulative frequency

distribution (Ogive Curve) 3.6 Exercise

Measures of central tendency

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Contents 10 11 7.6 Interpretation of the coefficient of skewness 7.7 Kurtosis 7.8 Measures of kurtosis 7.9 Exercise Correlation and regression 8.1 Introduction 8.2 Bivariate data 8.3 Correlation analysis §.4 Coefficient of determination 8.5 Spearman’s rank correlation coefficient 8.6 Regression analysis 8.7 Exercise Multivariate analysis 9.1 Introduction 9.2 Multivariate data

9.3 Multiple correlation analysis 9.4 Multiple regression analysis 9.5 Exercise

Probability 10.1 Introduction 10.2 Basic concepts

10.3 Definition of the probability (classical approach) 10.4 Laws of the probability

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