JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Course Objectives:

• 1. To apply statistics in various areas of sampling, analysis and modeling.
• 2. To select the most common statistical tests and understand their assumptions and limitations.
• 3. To formulate and choose a suitable methodology for testing in a given situation.
• 4. To perform estimation in regression models and evaluate a proposed model. Course OUTCOMES: At the end of the course, student will be able to:
• 1. Identify various methods of statistics to solve problems
• 2. Understand the different methods of probability and regression analysis
• 3. Analyse multiple data sets and sampling technique in statistics

UNIT - I

Introduction & Sampling Techniques: Histogram, Frequency diagram, Role of Probability and Statistics in Civil Engineering, Skewness; Kurtosis; Definitions and Applications; Simple random sampling; Stratified sampling; Systematic sampling; Sample Size determination; Collection & Presentation of data, Design of Experiment.

UNIT - II

Statistical Distributions and Probability: Random Variability, conditional probability, Uniform, Binomial, Poisson, Exponential and Normal distributions; Fitting of distributions; Skewness and Kurtosis, Mean and variance; Chi-square test of goodness-of-fit; lognormal, Beta distribution Probability - Laws of Probability; Conditional probability and Independent events; Kolmogorov – Smirnov (K-S test) Laws of expectation.

UNIT - III

Regression And Correlation: Linear/non-Linear and multiple linear correlation analysis, Linear regression and correlation; Multiple correlation; Multiple correlation coefficient; Standard error of estimate; Analysis of Variance; Curvilinear regression;

UNIT - IV

Multi-Variate Data Analysis and Exact Sampling Distributions: Types of data; Basic vectors and matrices; Simple estimate of centroid, Standard deviation, Dispersion, Variance and covariance; Correlation matrices; Principal component analysis; Time series analysis. Exact Sampling Distributions - Chi-square distribution; Students T-distribution;

UNIT - V

Tests Of Significance & Confidence Interval Estimation & Statistical Testing – I & II: Large sample and small sample tests; Tests for single mean, Means of two samples, Proportions, two variances, two observed correlation coefficients, paired T-tests, Applications. Tests Of Significance & Confidence Interval – Intervals for mean, variance and regression coefficients; Tests of Hypothesis, goodness of fit test.

REFERENCES:

• 1. Haldar, A.S. & Mahadevan, S., Probability, Reliability, Statistical Methods in Engineering Design, John Wiley and Sons Inc., New York, 2007.
• 2. Ang, A.H.S. & Tang, W.H. - Probability Concepts in Engineering – Emphasis on Applications to Civil Environmental Engineering, John Wiley and Sons Inc., New York, 2007. R19 M.TECH GEOTECHNICAL ENGG.
• 3. Fenton, G.A. and Griffiths, D.V. - Risk Assessment in Geotechnical Engineering, John Wiley and Sons Inc., New York, 2008.
• 4. Montgomery, D.C. and Runger, G.C. – Applied Statistics R19 M.TECH GEOTECHNICAL ENGG. M.TECH.- I YEAR- I SEMESTER GEOTECHNICAL ENGINEERING