Course Overview
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Course Synopsis
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Topics covered include: basic tools, simple random sampling, ratio and regression estimation, stratification, systematic sampling, cluster (area) sampling, unequal probability sampling and non-sampling errors. For illustration and clarification, examples are drawn from diverse areas of application.
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Course Learning Outcomes
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At the end of the course, you should be able:
- To introduce distinctive methodologies related to sampling designs.
- To build on students’ existing knowledge of sampling techniques.
- To get the knowledge about the economical use of available resources such as time, money and manpower in connection with the information obtained through sample survey.
- To apply the sampling tools in real life problems.
- To understand theoretical study the impact of various types of errors encountered in a sample survey
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Course Calendar
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Week 01
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1
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Introduction to the course
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3
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Sampling and non-Sampling errors
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5
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Non-Probability sampling
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7
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Stratified random sampling
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10
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Expectation of sample mean under SRS
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11
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Variance of sample mean under SRS
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12
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Unbiased estimator of variance under SRS
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Week 02
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15
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Simulation study for sampling strategy
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16
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Simulation study example
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17
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Simulation study with generated population
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18
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Estimation of sample size for mean estimation
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19
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Estimation of proportion
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21
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Mean estimation in stratified sampling
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Week 03
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22
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Variance of sample mean in stratified sampling
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23
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Variance in proportional allocation
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25
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Variance under optimum allocation
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26
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Arbitrary allocation example
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27
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Equal allocation example
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28
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Proportional allocation example
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29
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Optimum allocation example
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30
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Variance for optimum allocation example
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Quiz 1
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31
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Sample size in Neyman Allocation example
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32
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Variance in Neyman Allocation example
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33
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Comparison of allocation methods
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Week 04
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34
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Comparison between Stratified and Simple sampling example
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35
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Proportional allocation with SRS example
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36
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Neyman allocation with SRS example
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37
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Stratified sampling with R
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38
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Proportional allocation with R
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39
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Neyman allocation with R
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40
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Simulation study under stratified sampling with real population
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41
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Simulation study under stratified sampling with generated population
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42
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Simulation study stratified sampling example
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Week 05
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43
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Estimation of proportion in stratified sampling
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Assignment 1
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44
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Estimation of proportion in stratified sampling example
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45
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Estimation of proportion in stratified sampling example of variance
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46
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Estimation in systematic sampling
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47
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Sample mean under systematic sampling
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48
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Variance of sample mean under systematic sampling
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49
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Variance of sample mean under systematic sampling example
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50
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Alternative form of variance of systematic sampling
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51
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Comparison between SRS and systematic sampling
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52
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Variance of stratified sampling in systematic settings
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53
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Comparison between stratified and systematic sampling
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Week 06
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54
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Variance under SRS for population with linear trend
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55
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Variance under stratified sampling for population with linear trend
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56
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Variance under systematic sampling for population with linear trend
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57
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Systematic sampling using R
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58
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Simulation study for systematic sampling
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59
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Simulation study for systematic sampling example
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60
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Simulation study for systematic sampling example with generated population
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61
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Estimation in cluster sampling
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62
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Variance of sample mean in cluster sampling
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63
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Comparison between SRS and cluster sampling
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64
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Cluster sampling for unequal cluster sizes
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Week 07
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65
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Weighted mean for unequal cluster
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Quiz 2
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66
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Cluster sampling example 1
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67
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Cluster sampling example 2
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68
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Cluster sampling example with R
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69
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Estimation under cluster sampling using R
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70
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Cluster sampling for unequal clusters example-1
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71
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Cluster sampling for unequal clusters with weighted mean
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72
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Cluster sampling for unequal clusters example-1 with R
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73
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Simulation study for equal cluster sizes
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74
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Simulation study for unequal cluster sizes
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Week 08
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75
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Unequal probability sampling
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76
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Hansen Hurwitz estimator
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77
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Example for Hanssen Hurwitz estimator
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Midterm
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79
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Unequal probability sampling without replacement
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80
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Horvitz Thompson Estimator
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82
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Variance of Horvitz Thompson estimator
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83
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Example for sampling without replacement
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85
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Hansen Horwitz and Horvitz Thompson Estimator for with replacement example
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Week 09
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86
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Example 1 PPS sampling with replacement using R
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87
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Example 1 Hansen Hurwitz (HH) estimator using R
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88
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Example 2 PPS sampling with replacement using R
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89
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Example 2 Hansen Hurwitz (HH) estimator using R
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90
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Example 1 Hansen Hurwitz (HH) estimator using R in case of WR sampling
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Quiz-3
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91
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Horvitz Thompson (HT) estimator using R in case of WOR sampling
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92
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Example 2 Horvitz Thompson (HT) estimator using R in case of WR sampling
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94
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Estimation of mean with auxiliary variable
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96
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Mean square error of ratio estimator
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Week 10
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97
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Bias of Ratio estimator
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98
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Comparison of ratio with mean per unit estimator
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99
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Hartley Ross Unbiased ratio estimator
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101
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Example of Ratio/regression estimator
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102
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Small population example for ratio estimator
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103
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Ratio estimator using R
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104
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Simulation study for ratio estimator
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105
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Simulation study for ratio estimator from bivariate population
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107
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Mean square error of product estimator
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Quiz-4
Week 11
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108
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Small population example for product estimator
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109
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Simulation study for product estimator
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112
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Ratio estimator in stratified sampling
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113
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Bias of combined type ratio estimator
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114
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MSE of combined type ratio estimator
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115
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Combined type regression estimator
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116
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Separate type regression estimator
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117
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Simulation study for combined type ratio estimator
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Week 12
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118
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Continue: Simulation study for combined type ratio
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119
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Simulation study for separate type ratio estimator
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120
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Ratio estimator in double sampling
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122
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Bias of ratio estimator in double sampling
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123
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MSE of ratio estimator in double sampling
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124
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Bias of product estimator in double sampling
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125
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Continue:Bias of ratio estimator in double sampling
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126
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Continue: MSE of ratio estimator in double sampling
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127
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Continue: Bias of product estimator in double sampling
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Week 13
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128
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MSE of product estimator in double sampling
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129
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Double sampling using R
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131
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Variance of sample mean in Two-stage sampling
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132
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Two-stage sampling for unequal first stage units
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133
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Variance of sample mean for first-stage sampling
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134
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Two-stage sampling using R
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135
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cont: Two-stage sampling using R
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136
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Two-stage sampling using R continue
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137
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MSE of ratio estimator in two-stage sampling
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138
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Product estimator in Two-stage sampling
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139
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MSE of product estimator in Two-stage sampling
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Assignment 2
Week 14
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141
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Mean estimation in Rank set sampling
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142
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Variance of sample mean under rank set sampling
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143
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Rank set sampling using R
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144
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Rank set sampling using R cont.
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145
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MSE of Ratio estimator in Rank Set sampling
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146
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Some types of sampling schemes having Ranked Sets
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147
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Simulation in case of non-response
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148
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Expectation of Hansen & Hurwitz estimator
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149
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Variance of Hansen & Hurwitz estimator
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151
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Ratio estimator in case of non-response on study variable
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Week 15
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152
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Ratio estimator in case of non-response on both variable
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153
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Randomized response technique
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154
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Randomized response technique example
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Quiz-5
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155
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Qualitative Randomized Response technique
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156
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RRT with R for Qualitative sensitive variable
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157
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Bias and MSE of Ratio estimator using RRT
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158
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Bias and MSE of Ratio estimator using RRT cont.
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159
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Ratio estimator with two random variables
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160
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Regression Estimator with two random variables
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161
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Capture recapture sampling
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162
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Line and Point transects
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163
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Adaptive cluster sampling
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164
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Summary and Discussion
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Finalterm
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