Practical-II

1. Plot binomial curve for different values of n and p

2. Fitting of binomial distributions when p is known and when p is unknown.

3. Fitting of Poisson distribution when λ is known and when λ is unknown.

4. Fitting of negative binomial distribution.

5. Fitting of Normal distribution

6. Calculation of areas under normal curve.

7. Drawing of random samples from finite populations.

8. Estimation of population mean and estimation of variance in SRS with and without replacement.

9. Estimation of mean and variance in stratified sampling under proportional and optimum allocations.

10. Gain in precision due to stratification.

11. Estimation of mean and variance in systematic sampling and comparison with S.R.S.

12. Estimation of mean and variance in cluster sampling and comparison with S.R.S.

13. PPSWR Sampling: Cumulative total method, Lahri's method of sample selection/section ,

estimation of total and its variance.

14. Horvitz and Thompson's procedure of estimating mean (total) and variance of the population.

15. Yates and Grundy estimator of variance.

16. Two-stage sampling method where f.s.u. being selected with pps with replacement and s.s.u. with equal prob. without replacement . Estimation of optimum number of s.u. and s.s.u.

17. Estimation of mean and variance by (i) ratio and (ii) regression methods of estimation.

Note: Practical exercises will be conducted on computer by using MS-Excel, C-language, R and SPSS.