## February 27, 2010

### AT1602 STATISTICAL APPLICATION IN TEXTILE ENGINEERING Syllabus

ANNA UNIVERSITY :: CHENNAI 600 025
CURRICULUM 2005 – FULL TIME MODE
M.TECH APPAREL TECHNOLOGY AND MANAGEMENT

# AT1602 STATISTICAL APPLICATION IN TEXTILE ENGINEERING. 3 0 0 100

Aim
To impart knowledge on basis of statistical principles and experimental design procedures and their application in textile field.

1. Probability Distribution and Estimations 9
Introduction to probability distributions – Discrete distributions and continuous distributions; Applications of Binomial, Poisson, Hyper- geometric, Normal, Student’s ‘t’, Chi-square, and F distributions in textile manufacturing; point estimates and interval estimations of the parameters of the distribution functions.

2. SIGNIFICANCE TESTS 9
Concept of hypothesis testing, Errors in hypothesis testing – Type I and Type II errors; Significance tests – t-test, chi-square test and F-test – applicable to textile quality parameters; selection of sample size and significance levels with relevance to textile applications.

3. ANALYSIS OF VARIANCE 8
The objective of analysis of variance; one-way ANOVA; two-way ANOVA; experimental design for ANOVA.

4. DESIGN AND ANALYSIS OF EXPERIMENTS 12
Importance of experimental design; Classification of experimental designs – Classical and Taguchi designs; 2k factorial designs – full factorial and fractional factorial designs; 3k factorial designs – design and analysis of second-order composite designs – orthogonal and rotatable designs; fitting regression models; calculation of regression coefficients; adequacy test for the regression equations.

5. EXTREME VALUE MODELING 7
Application of Weibull distribution in extreme value modeling for yarn strength; properties of the model; the characteristic smallest value; two-parameter case and three-parameter case; connections with initial distributions.

### TOTAL: 45 Hours

REFERENCES

1. P.L. Mayer, Introductory Probability and Statistical Applications, Oxford and IBH Publishing Co., New Delhi, 1970.
2. G.A.V. Leaf, Practical Statistics for the Textile Industry, Part I and II, The Textile Institute, Manchester, 1984, ISBN: 0900739517.
3. S. Akhnazarova and V. Kafarov, Experiments Optimization in Chemistry and Chemical Engineering, Mir Publishers, Moscow, 1982.
4. K.V. Bury, Statistical Models in Applied Science, John Wiley & Sons, New York, 1975.
5. D.C. Montgomery, Design and Analysis of Experiments, John Wiley & Sons, New York, 1997.