Introduction:
Statistical methods, scope and limitations, population and sample, frequency distribution-measure of central tendency-measures of Dispersion- standard deviation, coefficient of variation, skewness. Variables - scatter diagram, Curve fitting methods, correlation linear regression, multiple linear regressions. Multivariate data analysis.
Probability:
Review, Addition & Multiplication Rules, random Variables, Discrete distributions – Binomial & Poisson Distributions, Continuous Distribution – Uniform, Exponential, Gamma & normal Distributions, applications in Highway engineering problems.
Statistical decisions:
hypothesis testing, significance levels – Tests concerning Mean, testing the equality of means of two populations, tests concerning the variance. Chi–square Test for goodness of fit. Confidence Interval.
Time series analysis- introduction –moving average- Problems
Optimization technique and applications:
Graphical Method –Simplex Method-Big-M method-2 –Phase Simplex method-applications in High way engineering problems
Use of mathematical and statistical software packages.