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Textile Processes: Quality Control and Design of Experiments

โœ Scribed by Georgi Damyanov


Publisher
Momentum Press
Year
2012
Tongue
English
Leaves
260
Series
Asme
Category
Library

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โœฆ Synopsis


This concise guide on statistical quality control in textile processes offers useful guidance to engineers and technicians on how to set up and conduct quality control procedures using the mathematical tools offered in this book. It presents an introduction to the control and optimization of textile processes and the resulting improved quality of manufactured textile products. It offers a review of the methods for experimental design, various textile processes, and the methods for derivation and optimization of mathematical models. Individual models are illustrated with numerical examples, which allow for easier comprehension and implementation of the methods. Special attention is given to the use of Taguchi methods in setting up experimental design models.

โœฆ Table of Contents


CONTENTS......Page 6
PREFACE......Page 12
ABOUT THE AUTHORS......Page 14
LIST OF FIGURES......Page 16
LIST OF TABLES......Page 18
PART I INTRODUCTION TO MATHEMATICAL STATISTICS......Page 20
I.1. GENERAL TERMS AND DEFINITIONS......Page 22
I.2. LAWS OF RANDOM VARIABLES DISTRIBUTION......Page 32
I.3. STATISTICAL ESTIMATES......Page 40
I.4. STATISTICAL PROCESS CONTROL AND CONTROL CHARTS......Page 52
I.5. CORRELATION ANALYSIS......Page 84
I.6. ANALYSIS OF VARIANCE......Page 92
PART II DESIGN OF AN EXPERIMENT......Page 98
II.1. MAIN CONCEPTS IN MATHEMATICAL MODELING AND OPTIMIZATION......Page 100
II.2. CHOICE OF PARAMETERS OF OPTIMIZATION......Page 104
II.3. CHOICE OF INPUT FACTORS......Page 108
II.4. MAIN STAGES OF EXPERIMENTAL MODELING......Page 128
II.5. REGRESSION ANALYSIS......Page 132
II.6. FULL FACTORIAL EXPERIMENT......Page 142
II.7. FRACTIONAL FACTORIAL EXPERIMENT......Page 152
II.8. STATISTICAL METHODS FOR MOVEMENT TO AN OPTIMAL AREA......Page 158
II.9. INVESTIGATION OF THE OPTIMUM AREA: COMPOSITE DESIGNS OF SECOND ORDER......Page 172
II.10. OPTIMIZATION OF TARGET FUNCTION......Page 198
II.11. TAGUCHI METHODS......Page 208
APPENDIX 1 STUDENTโ€™S T-DISTRIBUTION......Page 228
APPENDIX 2 CHI-SQUARED ฯ‡2-DISTRIBUTION......Page 230
APPENDIX 3 FISHERโ€™S F-DISTRIBUTION......Page 232
APPENDIX 4 FISHERโ€™S F-DISTRIBUTION......Page 236
APPENDIX 5 COCHRANโ€™S CRITICAL VALUES......Page 240
APPENDIX 6 DENSITY OF NORMAL DISTRIBUTION N(0, 1)......Page 244
APPENDIX 7 PROBABILITY P FOR Sd โ‰ค Sdo......Page 246
APPENDIX 8 RANDOM NUMBERS......Page 248
BIBLIOGRAPHY......Page 250
INDEX......Page 254

โœฆ Subjects


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