__TE-505 ADVANCED STATISTICS__

Credit Hours = 3

**COURSE CONTENT**

**Probability Distributions & Transformation of Variables:**Uniform, Binomial, Hypergeometric, Poisson, Normal, Exponentional, Chi-square, F & T-distributions: Random sampling: Sampling distribution of mean; Central limit theorem.**Statistical Inference & Hypothesis Testing:**Confidence & significance level; Sample size determination; Point & interval estimates; Interval estimates for population mean, population standard deviation, & population proportion. Type I, & type II errors; One tail & two tail tests; Tests concerning means & variances.**Linear & Multiple Linear Regression & Correlation:**Simple linear regression; Properties of least square estimates; Confidence limits & tests of significance; Choice of a regression model; Correlation. Estimating the coefficients; Adequacy of the model.**Analysis of Variance:**One way classification; Tests for the equality of several variances; Single degree of freedom comparisons; Multiple range test; Comparing treatment with a control; Comparing a set of treatments in blocks; Randomized complete block design; Random effects model.**Factorial Experiments:**Two-factor experiments; Interaction in two-factor experiments; Twofactor analysis of variance; Three-factor analysis; Choice of sample size.**2**Yate's technique for computing contrasts; Factorial experiments in incomplete blocks; Fractional factorial experiments; Analysis of fractional factorial experiments.^{k}Factorial Experiments:

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