MATHEMATICAL ANALYSIS — DU B.Sc (hons) Statistics Previous Year Question Papers

DEPARTMENT OF STATISTICS DEPARTMENT OF STATISTICS DISCIPLINE SPECIFIC CORE COURSE-7: SAMPLE SURVEYS CREDIT DISTRIBUTION, ELIGIBILITY, AND PRE-REQUISITES OF THE Credits Credit distribution of the course Eligibility Pre-title & criteria requisite of code Lecture Tutorial Practical/ the course 4 3 0 1 Passed Class XII with Statistics and probability theory Learning Objectives: The learning objectives of this course are to introduce: Tools and techniques for selecting a representative sample from a target population keeping in mind the objectives to be fulfilled. Obtain an estimator of the population parameter on the basis of the selected sample and study its properties. Learning Outcomes: After successful completion of this course, students should be able to: Understand the fundamental concepts of population and sample and the principles of sample survey Describe the value and methodologies for sample surveys versus other approaches to collecting information from populations. Determine the appropriate sample size and its allocation for nationwide sample surveys or for surveys to be conducted in a program area. Identify a proper sampling frame and select primary sample points. Apply steps involved in selecting a sample using Simple Random Sampling with or without replacement, Stratified Sampling, Systematic Sampling and Ratio and Regression Methods of Estimation SYLLABUS OF DSC-7 UNIT I (10 Hours) Basics of Survey Sampling UNIT II (8 Hours) Simple Random Sampling Simple random sampling (SRS) with and without replacement, their properties, procedures of selecting a simple random sample, estimation of population mean and total, sampling for proportions, determination of sample size, bivariate population. UNIT III (10 Hours) Stratified Random Sampling Stratified Random Sampling: Estimation of population mean and total, Allocation of sample in different strata using equal, proportional, optimum and Neyman allocations, comparison with SRS, practical difficulties in adopting Neyman allocation, estimation of gain in precision due to stratification. UNIT IV (7 Hours) Systematic Random Sampling Systematic Random Sampling: Estimation of population mean and total, comparison with SRS and stratified sampling in the presence of linear trend, Yates' correction, definition of circular systematic sampling UNIT V (10 Hours) Ratio and Regression Method of Estimation Ratio method of estimation, first approximation to ratio estimator and its bias, first approximation to variance of ratio estimator, estimator of variance of ratio estimator, comparison of ratio with SRS. Regression method of estimation, first approximation to linear regression estimator and its bias, first approximation to variance of the linear regression estimator, estimator of variance of the linear regression estimator, comparison with SRS and ratio estimator. Practical -30 Hours List of Practicals : 1. To select SRS with and without replacement.