Statistics II

  1. Sampling Techniques

Simple random sampling, stratified sampling, cluster sampling, systematic sampling. 

  1. Estimation Theory

Estimator and estimate, Point estimation, Interval estimation, Sampling distributions, t, F, and chi-square distributions. 

  1. Hypothesis Testing

Null and alternate hypothesis, Test statistic, Testing equality of means, Testing equality of variances, Power of the test. 

  1. Relation between Two Variables

Correlation coefficient, Regression analysis, Statistical inference about regression parameters. 

References: 

  1. Boes, D.C., Graybill F.A., and A.M.Mood. 2001. Introduction to the Theory of Statistics (3rd ed.). Tata McGraw-Hill. India.

  2. Cochran, W.G. 2007. Sampling Techniques. Wiley India Pvt. Ltd. India

  3. DeGroot, Morris H., and Mark J. Schervish. 2002. Probability and Statistics (3rded). Addison-Wesley. Boston, USA.

  4. Hogg, R.V., Craig A. and J.W. McKean. 2005. Introduction to Mathematical Statistics (6th ed.). Pearson. India.

  5. Ross, Sheldon M. 2004. Probability and Statistics for Engineers and Scientists (3rded). Academic Press. San Diego, USA.