MA7152 STATISTICAL METHODS FOR ENGINEERS - ANNA UNIVERSITY REGULATION 2013 PG SYLLABUS

ANNA UNIVERSITY, CHENNAI

AFFILIATED INSTITUTIONS

REGULATIONS - 2013

M.E. CONSTRUCTION ENGINEERING AND MANAGEMENT

SEMESTER - 1 SYLLABUS

MA7152                          STATISTICAL METHODS FOR ENGINEERS                   L T P C
                                                                                                                               3 1 0 4
OBJECTIVES:
 To study and understand the concepts of Statistical methods and its applications in
Engineering.
 To study the effect of estimation theory, testing of hypothesis, correlation and regression,
randomized design, and multivariate analysis.

UNIT I ESTIMATION THEORY 9+3
Estimators: Unbiasedness, Consistency, Efficiency and Sufficiency – Maximum Likelihood
Estimation – Method of moments.

UNIT II TESTING OF HYPOTHESIS 9+3
Tests based on Normal, t, X2 and F distributions for testing of means, variance and proportions –Analysis of r x c tables – Goodness of fit.

UNIT III CORRELATION AND REGRESSION 9+3
Multiple and Partial Correlation – Method of Least Squares – Plane of Regression – Properties of Residuals – Coefficient of multiple correlation – Coefficient of partial correlation – Multiple
correlation with total and partial correlations – Regression and Partial correlations in terms of lower order co-efficient.

UNIT IV DESIGN OF EXPERIMENTS 9+3
Analysis of variance – One-way and two-way classifications – Completely randomized design –
Randomized block design – Latin square design.

UNIT V MULTIVARIATE ANALYSIS 9+3
Random vectors and Matrices – Mean vectors and Covariance matrices – Multivariate Normal
density and its properties – Principal components: Population principal components – Principal
components from standardized variables.

TOTAL : 60 PERIODS

OUTCOME:
 On completion of this course the students will be able to solve various problems in the field of
engineering employing probability and statistical methods.

REFERENCES:
1. Gupta.S.C., and Kapoor, V.K., “Fundamentals of Mathematical Statistics”, Sultan Chand and
Sons, Eleventh Edition, 2002
2. J.E. Freund, Mathematical Statistical”, 5th Edition, Prentice Hall of India, 2001.
3. Jay L.Devore, “Probability and statistics for Engineering and the Sciences”, 5th Edition,
Thomson and Duxbury, Singapore, 2002
4. Murray.R. SpiegelandLarry J.Stephens, “Schaum’sou Tlines- Statistics”, Third Edition, Tata
McGraw-Hill, 2000
5. R.A.Johnson and C.B.Gupta, “Miller & Freund’s Probability and Statistics for Engineers”,
Pearson Education, Asia, 7th Edition, 2007
6. Richard A.Johnson and Dean W.Wichern, “Applied Multivariate Statistical Analysis”, PearsonEducation, Asia, 6th Edition, 2007