**[OBJECTIVE]**

**Subject:** Advanced Sampling Techniques (Theory)

**Time Allowed:** 15 Min

**Total Marks:** 10

**NOTE:** *ATTEMPT THIS PAPER ON THIS QUESTION SHEET ONLY. Division of marks is given in front of each question. This Paper will be collected back after expiry of time limit mentioned above.*

__Part-I Encircle the correct option, each question carries equal marks. (10)__

1. The classical ratio estimators are generally —————–—-—

A. Unbiased

B. Biased

C. Zero

D. None of the above

2. People who are available, volunteer, or can be easily recruited are used in the sampling method called _______.

A. Area

B. Probability proportional to size

C. Multi-stage

D. Convenience

A. cluster

B. stratum

C. sample

D. None of the above

4. The list of all units in the population is called _______________.

A. Parameter

B. Statistic

C. Sampling Frame

D. Bias

5. Like the ratio estimate, the linear regression estimate is designed to increase _______________ by the use of an auxiliary variate xi that is correlated with yi

A. Precision

B. Sample size

C. Variability

D. Confidence width

6. __________ estimator is unbiased when sample size is large.

A. BLUE

B. Regression

C. Ratio

D. None of above

7. In the regression method of estimation, the quantity [>| must be close to ‘1’ if p is

A. Low

B. High

C. Zero

D. Negative

8. All of the following are true about cluster sampling except

A. Samples are similar to those in simple random sampling

B. Is a rapid and simple method

C. The sample size may vary according to study design

D. It is a type of probability sample

9. The _________ estimate is more precise than the ratio estimate unless B = R

A. Regression

B. Unbiased

C. Robust

D. None of the above

10. In ___________ number of units at each stage is different.

A. Simple random sampling

B. Stratified random sampling

C. Systematic sampling

D. Multistage sampling

**[SUBJECTIVE]**

**Subject:** Advanced Sampling Techniques (Theory)

**Time Allowed:** 2 Hour 45 Min

**Total Marks:** 50

**NOTE:** *ATTEMPT THIS (SUBJECTIVE) ON THE SEPARATE ANSWER SHEET PROVIDED*

__Part-II Give short answers, each question carries equal marks. (20)__

**Q#1:** Application of Ratio Estimator

**Q#2:** Non-response Error

**Q#3:** Double Sampling

**Q#4:** Cluster Sampling

__Part-III Give detailed answers, each question carries equal marks. (30)__

**Q#1:** Compare combined and separate regression estimates. Under what condition they are equally good.

**Q#2:** Show that the value of bp that minimizes V(J,,) is B = 3.