**Course Objectives**

Sampling Techniques MCQs to explain the logic of sampling and different related concepts.To enable the student to decide what kind of sampling technique to be adopted for a given type of population. How population unknown values are estimated on the basis of information obtained from sample. How the efficiencies of different sampling designs differ.

**Topics of MCQs**

**Cluster Sampling MCQs** : reasons for using the cluster sampling, examples of clusters of equal and unequal sizes, single stage cluster sampling for clusters of equal sizes, notations, mean per unit and mean per element, variance within clusters, variance between clusters, correlation, anova table for population and sample.

Relationship between cluster sampling and systematic random sampling, unbiasedness of sample mean and variance of the sample mean per element, in case of single-stage cluster sampling of equal-sized clusters. Variance of the cluster sample in terms of intra-cluster correlation.

Clusters of unequal sizes, unbiased estimate of population total and its variance, simple random sample of clusters: ratio-to-size estimation, sampling with probability proportional to size, selection with unequal probabilities with replacement.

Sampling with unequal probabilities without replacement, Horvitz-Thompson estimator, Brewer’s method. Subsampling with units of equal sizes, primary sampling units and secondary sampling units, two-stage cluster sampling

The general expression for the variance of an estimator in case of 2-stage sampling, mean of two-stage cluster sample and its variance, sample estimation of variance.

Three-stage sampling, examples of three-stage cluster sampling, general expression for the variance of an estimator in case of three-stage sampling, mean of three stage cluster sample and its variance.

Subsampling with clusters of unequal sizes. Double sampling, double sampling for stratification. Sources of errors in surveys, effects of non-response, types of non response, errors of measurements. Bias.

**Sampling Techniques MCQs**

Regression method of estimation is used to get.

A. small variance

B. large variance

C. unbiased variance

D. biased but consistent variance

**View Answer**

**A. small variance**

A questionnaire consists of set of queries about a.

A. specific issue

B. sample

C. population

D. sample design

**View Answer**

**A. specific issue**

Regression method of estimation was introduced by.

A. R A Fisher

B. Karl Pearson

C. Watson

D. Cochran

**View Answer**

**C. Watson**

In regression method of estimation ß is.

A. independent variable

B. dependent variable

C. slope of the line

D. regression coefficient

**View Answer**

**C. slope of the line**

Regression estimation can be made in.

A. one way

B. two way

C. three way

D. none of the above

**View Answer**

**B. two way**

The bias is negligible in.

A. large samples

B. small samples

C. ratio

D. sample mean

**View Answer**

**A. large samples**

**Read Also >> Basic Statistical Inference MCQs**

In regression method of estimation sample mean is an unbiased estimate of the population.

A. total

B. mean

C. ratio

D. variance

**View Answer**

**B. mean**

In regression method of estimation sample variance is smaller than variance of.

A. ratio method of estimation

B. stratified random sample

C. simple random sample

D. all above

**View Answer**

**C. simple random sample**

Regression method was introduced in.

A. 1925

B. 1937

C. 1940

D. 1938

**View Answer**

**B. 1937**

Ratio method of estimation is not applicable when regression line is passing.

A. not through origin

B. through origin

C. through y-axis

D. through x-axis

**View Answer**

**A. not through origin**

Sampling techniques was written by.

A. William G Cochran

B. Ronald A Fisher

C. Kish

D. Deming

**View Answer**

**A. William G Cochran**

Sampling techniques was published by.

A. John Wiley and Sons

B. McGraw Hill

C. Chapman& Hall

D. Macmillan

**View Answer**

**A. John Wiley and Sons**

We prefer regression method when line passes through the origin.

A. True

B. False

**View Answer**

**B. False**

The ratio estimate of population total can be done only separately.

A. True

B. False

**View Answer**

**B. False**

Bias and relative bias are two different estimates.

A. True

B. False

**View Answer**

**A. True**

In ratio method of estimation sample mean is a consistent estimate of population mean.

A. True

B. False

**View Answer**

**A. True**

A sample of cluster is selected at random.

A. True

B. False

**View Answer**

**B. False**

Regression model with stochastic term is called random model.

A. True

B. False

**View Answer**

**A. True**

Systematic sampling demands the selection of single sampling unit.

A. True

B. False

**View Answer**

**A. True**

The estimate of ratio in ratio method of estimation is consistent estimate of population ratio.

A. True

B. False

**View Answer**

**A. True**

Regression model with stochastic term is called exact model.

A. True

B. False

**View Answer**

**B. False**

Systematic sampling is imprecise when the unit in sample is homogeneous.

A. True

B. False

**View Answer**

**A. True**

If sample size is large sample mean to approaches to population mean.

A. True

B. False

**View Answer**

**A. True**

In regression method of estimation the auxiliary variate (Xi) is correlated with.

A. Xi

B. Yi

C. Ri

D. Xi & Yi

**View Answer**

**B. Yi**

b is.

A. estimate of change

B. change in y due to x

C. constant

D. variable

**View Answer**

**B. change in y due to x**

In regression method of estimation b and B are.

A. same

B. constant

C. variable

D. sample and population regression coefficient respectively

**View Answer**

**D. sample and population regression coefficient respectively**

If b – B = 0. It means that.

A. MSE is zero

B. sampling error not ignored

C. sampling error ignored

D. variance zero

**View Answer**

**C. sampling error ignored**

To compare ratio, regression and simple random sampling, the sample size should be.

A. small

B. large

C. two

D. 8

**View Answer**

**B. large**

If ? > 0 variance of regression is superior than.

A. simple random sample

B. ratio estimate

C. stratified random sampling

D. cluster sampling

**View Answer**

**A. simple random sample**

Simple random sampling and systematic sampling are.

A. probability sampling

B. non probability sampling

C. quota sampling

D. time sampling

**View Answer**

**A. probability sampling**

In systematic sampling we divide.

A. population into nth parts

B. population into N equal of kit unit each

C. population

D. sample

**View Answer**

**B. population into N equal of kit unit each**

In systematic sampling the first selection of unit determines the.

A. first sample

B. last sample

C. whole sample

D. none of the above

**View Answer**

**C. whole sample**

Regression method of estimation was introduced to increase.

A. variance

B. error

C. precision

D. accuracy

**View Answer**

**C. precision**

Systematic sample is as precise as stratified random sample when one unit is drawn from.

A. population

B. each unit

C. each group

D. each stratum

**View Answer**

**D. each stratum**

Systematic sampling demands the selection of single complex.

A. sampling frame

B. frame

C. sampling design

D. sampling unit

**View Answer**

**C. sampling design**

The cluster may be.

A. equal

B. unequal

C. equal or unequal

D. constant

**View Answer**

**C. equal or unequal**

Clusters are known as.

A. PSU

B. SSU

C. BSU

D. MSU

**View Answer**

**A. PSU**

The performance of systematic sampling depends on.

A. sample size

B. population

C. properties of population

D. characteristics of sample

**View Answer**

**C. properties of population**

In cluster sampling units are found in the form of.

A. aggregate

B. groups

C. cluster

D. stratum

**View Answer**

**B. groups**

Cluster sampling is a type of.

A. purposive sampling

B. quota sampling

C. probability sampling

D. non probability sampling

**View Answer**

**C. probability sampling**

Clusters are

A. similar to stratum

B. homogeneous

C. dissimilar to stratum

D. systematic sample

**View Answer**

**C. dissimilar to stratum**

Regression estimation can be made in.

A. one way

B. two way

A. three way

B. none of the above

**View Answer**

**B. two way**

The bias is negligible in.

A. large samples

B. small samples

C. ratio

D. sample mean

**View Answer**

**B. small samples**

In regression method of estimation sample total is an unbiased estimate of the population.

A. total

B. mean

C. ratio

D. variance

**View Answer**

**A. total**

In regression method of estimation sample ratio is an unbiased estimate of the population.

A. total

B. mean

C. ratio

D. variance

**View Answer**

**C. ratio**

Cluster sampling is a non-probability sampling technique.

A. True

B. False

**View Answer**

**B. False**

Regression model without stochastic term is called exact model.

C. True

D. False

**View Answer**

**C. True**

When regression line passes through the origin, sample ratio is an unbiased estimate of population ratio.

A. True

B. False

**View Answer**

**A. True**

In systematic sampling first element is selected randomly.

A. True

B. False

**View Answer**

**A. True**

Regression model with stochastic term is called fixed model.

A. True

B. False

**View Answer**

**A. True**