**DESCRIPTION OF COURSES**

**AS 503 BASIC SAMPLING AND NON-PARAMETRIC METHODS (2L+1P) III**

**Objective**

This course is meant for students of agricultural sciences other than statistics. The students would be exposed to basic sampling techniques and non-parametric tests. It would help them in understanding the concepts involved in planning and designing surveys, analysis of survey data, presentation of results and applying non-parametric tests. This course would be especially important to the students of social sciences.

**Theory**

UNIT I

Concept of sampling, sampling vs complete enumeration, planning of sample survey. Sampling from a finite population, simple random sampling, inverse sampling, stratified sampling, cluster sampling, systematic sampling, multistage sampling, double sampling. Ratio and regression method of estimation. Non-sampling errors.

UNIT II

Concept and levels of measurement. Non-parametric tests - Sign, Wilcoxon, Mann-Whitney U- test, Wald Wolfowitz run test, Run test for the randomness of a sequence. Median test, Kruskal- Wallis test, Friedman two-way ANOVA by ranks. Kendall’s coefficient of concordance.

**Practicals**

Selection of a random sample, use of random number tables, estimation using simple random sampling. Exercises on inverse sampling, stratified sampling, cluster sampling and systematic sampling. Estimation using ratio and regression estimators, Estimation using multistage design and double sampling. Exercises on various non-parametric tests.

**Suggested Readings**

- Cochran, W.G. 1959.
*Sampling Techniques*. John Wiley. - Murthy, M.N. 1958.
*Sampling Theory and Methods*. Statistical Publishing Society. - Siegel, S., Johan, N. and Casellan Jr. 1956.
*Non-parametric Tests for Behavior Sciences.*John - Wiley. Sukhatme, P.V., Sukhatme, B.V., Sukhatme, S. and Asok, C. 1984.
*Sampling Theory of Surveys with Applications.*Indian Society of Agricultural Statistics.