MA5165 Statistical Methods For Engineers Lecture Notes Syllabus Book Previous
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MA5165 STATISTICAL METHODS FOR ENGINEERS
UNIT I ESTIMATION THEORY
Estimators : Unbiasedness,
Consistency, Efficiency and sufficiency – Maximum likelihood estimation –
Method of moments.
UNIT II TESTING OF HYPOTHESIS
Sampling distributions - Small
and large samples -Tests based on Normal, t, Chi square, and F distributions
for testing of means, variance and proportions – Analysis of r x c tables –
Goodness of fit.
UNIT III CORRELATION AND
REGRESSION
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
Analysis of variance – One way
and two way classifications – Completely randomized design – Randomized block
design – Latin square design – 2 2 Factorial design.
UNIT V MULTIVARIATE ANALYSIS
density and its properties –
Principal components : Population principal components – Principal components from standardized variables.
REFERENCES :
1. Gupta.S.C., and Kapoor, V.K.,
“Fundamentals of Mathematical Statistics”, Sultan Chand and Sons, 11th Edition,
2002.
2. Jay L. Devore, “Probability
and statistics for Engineering and the Sciences”, 8th Edition, Cengage
Learning, 2014.
3. Johnson, R.A. and Wichern, D.
W. “Applied Multivariate Statistical Analysis”, Pearson Education, Asia, 6th
Edition, 2007.
4. Johnson, R.A., Miller, I and
Freund J., "Miller and Freund’s Probability and Statistics for Engineers",
Pearson Education, Asia, 8th Edition, 2015.
5. Rice,
J.A. "Mathematical Statistics and Data Analysis", 3rd Edition,
Cengage Learning, 2015.
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