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SOLUTIONS MANUAL for Sampling: Design and Analysis 3rd Edition by Sharon L. Lohr Updated A+ R270,80   Add to cart

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SOLUTIONS MANUAL for Sampling: Design and Analysis 3rd Edition by Sharon L. Lohr Updated A+

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SOLUTIONS MANUAL for Sampling: Design and Analysis 3rd Edition by Sharon L. Lohr Updated A+ Chapters 1-16.1. Introduction 2. Simple Probability Samples 3. Stratified Sampling 4. Ratio and Regression Estimation 5. Cluster Sampling with Equal Probabilities 6. Sampling with Unequal Probabilities 7. Co...

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  • October 30, 2023
  • 323
  • 2023/2024
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SOLUTIONS MANUAL for Sampling: Design and Analysis 3rd Edition by Sharon L. Lohr




SOLUTIONS MANUAL for Sampling:
Design and Analysis 3rd Edition by
Sharon L. Lohr




Test Bank Page 1

, SOLUTIONS MANUAL for Sampling: Design and Analysis 3rd Edition by Sharon L. Lohr




TABLE OF CONTENTS

STUDY UNIT 1: Introduction 1

1.1 Overview 1

1.2 Some elements of the sampling problem 2

1.3 Sampling and data collection 7


STUDY UNIT 2: Simple probability samples 8

2.1 Overview 8

2.1.1 Probability and nonprobability sampling 8

2.1.2 Sampling methods 9

2.2 Types of probability sampling and the framework for probability sampling 10

2.3 Simple random sampling and confidence intervals 12

2.4 Sample size estimation 13

2.5 Systematic sampling 13

2.6 Randomisation theory results for SRS and a model for SRS 15

2.7 When should SRS be used? 15


STUDY UNIT 3: Stratified sampling 19

3.1 Overview 19

3.1.1 Advantages over other sampling methods 20

3.1.2 Disadvantages 20

3.1.3 Oversampling 20

3.2 What is stratified sampling? 20

3.2.1 Theory of stratified sampling 21

3.3 Sampling weights 23

3.4 Allocating observations to strata 23

3.5 Defining strata 26

3.6 A model for stratified sampling 27



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, SOLUTIONS MANUAL for Sampling: Design and Analysis 3rd Edition by Sharon L. Lohr




3.7 Poststratification 27

3.8 Quota sampling 28


STUDY UNIT 4: Ratio and regression estimation 30

4.1 Overview 30

4.1.1 Example 30
4.2 Ratio estimation 31
4.2.1 Bias 31

4.2.2 Proportions 32

4.3 Regression estimation 33

4.4 Estimation in domains 35

4.5 Models for ratio and regression estimation 36


STUDY UNIT 5: Cluster sampling with equal probabilities 40

5.1 Overview 40

5.1.1 A word about terminology 40

5.2 Notation for cluster sampling 41

5.3 One-stage cluster sampling 42

5.3.1 Clusters of equal sizes 43

5.3.2 The theory of equal cluster sizes 43

5.3.3 Clusters of unequal sizes 46

5.4 Two-stage cluster sampling 47

5.5 Multistage sampling 49

5.6 Using weights in clusters 50

5.7 Designing a cluster sample 50

5.8 Systematic sampling 51

5.9 Models for cluster sampling 51


STUDY UNIT 6: Sampling with unequal probabilities 53


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, SOLUTIONS MANUAL for Sampling: Design and Analysis 3rd Edition by Sharon L. Lohr




6.1 Overview 53

6.2 Sampling one PSU 53

6.3 One-stage sampling with replacement 54

6.3.1 Theory of estimation 55

6.3.2 Designing the selection probabilities 56

6.4 Two-stage sampling with replacement 57

6.5 Unequal probability without replacement 59

6.5.1 The Horvitz–Thompson (HT) estimator 59

6.5.2 Weights in unequal probability samples 59

6.5.3 The HT estimator for general without-replacement designs 60

6.6 Three examples of unequal probability samples 60

6.6.1 Random-digit dialling 60

6.6.2 3-P sampling 60

6.6.3 Dollar unit sampling 60

6.7 Randomisation theory results and proofs 60

6.8 Models and unequal probability sampling 60


STUDY UNIT 7: Complex surveys 62

7.1 Overview 62

7.2 Assembling design components 62

7.3 Sampling weights 63

7.4 Estimating a distribution function 63

7.5 Plotting data from a complex survey 64

7.6 Design effects (deff) 65

7.7 The National Crime Victimisation Survey 65

7.8 Recap of errors in sample surveys 66

7.8.1 Sampling errors and biases 66

7.8.2 Nonsampling error 66




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