Theory of sample surveys:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey [u.a.]
World Scientific
2011
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. 213-222) and index |
| Physical Description: | XII, 224 S. 23 cm |
| ISBN: | 9789814322478 9814322474 |
Staff View
MARC
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| 100 | 1 | |a Gupta, Arjun K. |d 1938- |e Verfasser |0 (DE-588)122205103 |4 aut | |
| 245 | 1 | 0 | |a Theory of sample surveys |c Arjun K. Gupta ; D. G. Kabe |
| 264 | 1 | |a New Jersey [u.a.] |b World Scientific |c 2011 | |
| 300 | |a XII, 224 S. |c 23 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references (p. 213-222) and index | ||
| 650 | 4 | |a Sampling (Statistics) | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface vii
1. SIMPLE
RANDOM SAMPLING
1
1.1
Introduction
......................... 1
1.2
Simple Random Sampling without Replacement
..... 1
1.3
Simple Random Sampling with Replacement
....... 5
1.4
Procedures for Selection of Simple Random Samples
. . 8
1.5
Determination of Sample Size
............... 12
1.6
Estimation of a Proportion
................. 14
2.
SAMPLING WITH VARYING PROBABILITIES OF
SELECTION
23
2.1
Introduction
......................... 23
2.2
Sampling with Varying Probabilities of Selection and with
Replacement
......................... 23
2.3
Comparison with SRSWR
................. 25
2.4
Sampling with Varying Probabilities of Selection and
without Replacement
.................... 26
2.5
Midzuno Scheme of Sampling
............... 31
2.6
pps Sampling with Replacement
.............. 32
2.7
pps Sampling without Replacement
............ 32
2.8
Selection Procedures for pps Sampling
.......... 33
3.
STRATIFIED SAMPLING 41
3.1
Stratified Sampling
.....................
41
3.2
Estimation in Stratified Sampling
............. 41
IX
x
Theory of Sample Surveys
3.3
Optimum Allocation
.................... 43
3.4
Proportional Allocation
................... 47
3.5
Comparison of Stratified Sampling with SRSWOR
... 47
3.6
Estimation of Gain in Efficiency from Stratified Sample
. 49
3.7
Estimation of a Proportion in Stratified Sampling
.... 51
4.
SYSTEMATIC SAMPLING
61
4.1
Systematic Sampling
.................... 61
4.2
Estimation in Systematic Sampling
............ 62
4.3
Comparison with SRSWOR
................ 63
4.4
Comparison with Stratified Sampling
........... 66
4.5
Comparison of Systematic Sampling for Population with
Linear Trends
........................ 67
4.6
Estimation of Sampling Variance
............. 70
4.7
Systematic Sampling when
Ν ^
nk
............ 70
4.8
Circular Systematic Sampling
............... 73
5.
RATIO METHOD OF ESTIMATION
77
5.1
Ratio Method of Estimation
................ 77
5.2
Bias of Ratio Estimator
................... 78
5.3
Approximate Variance of Ratio Estimator
........ 80
5.4
Comparison with SRSWOR
................ 82
5.5
Estimation of a Ratio
.................... 83
5.6
Conditions under which Ratio Estimator is the Best
... 84
5.7
Ratio Estimation in Stratified Sampling
......... 85
5.8
Unbiased Ratio Type Estimator
.............. 90
5.9
Unbiased Ratio Estimator
................. 91
5.10
Product Estimator
................. 91
5.11
Multivariate Ratio Estimator
............ 93
6.
REGRESSION METHOD OF ESTIMATION
99
6.1
Regression Method of Estimation
........... 99
6.2
Bias and Variance of the Regression Estimator
...... 100
6.3
Regression Estimator of the Population Total
...... 102
6.4
Comparison with SRSWOR and Ratio Estimator
.... 102
6.5
Regression Estimation in Stratified Sampling
....... 103
6.6
Multivariate Regression Estimator
........
IO7
Contents xi
7.
CLUSTER
SAMPLING
Ш
7.1
Cluster Sampling
......................
Ш
7.2
Estimation in Case of Equal Clusters
...........
Ill
7.3
Efficiency of Cluster Sampling
............... 115
7.4
Estimation of Efficiency
.................. 116
7.5
Optimum Size of Cluster Sampling
............ 118
7.6
Estimation of a Proportion
................. 120
7.7
Estimation in Case of Unequal Clusters
.......... 121
7.8
pps with Replacement
................... 125
8.
SUB-SAMPLING TWO-STAGE AND THREE-STAGE
SAMPLING
133
8.1
Sub-sampling
........................ 133
8.2
Two-stage Sampling
—
Equal First-stage Units
..... 133
8.3
Comparison of Two-stage Sampling with One-stage Sam¬
pling
............................. 139
8.4
Optimum Values of
η
and
m
................ 141
8.5
Two-stage Sampling-unequal First-stage Units
...... 143
8.6
Three-stage Sampling
.................... 155
8.7
Optimum Values of n, m, and
ρ
in Three-stage
Sampling
........................... 161
9.
DOUBLE SAMPLING
167
9.1
Double Sampling
...................... 167
9.2
Double Sampling for Ratio Estimation
.......... 168
9.3
Double Sampling for Difference Estimation
........ 172
9.4
Double Sampling for Regression Estimation
....... 173
9.5
Double Sampling for pps Estimation
........... 175
9.6
Double Sampling for Unbiased Ratio Estimation
..... 179
9.7
Successive Sampling
..................... 184
10.
NON-SAMPLING ERRORS 191
10.1
Non-sampling Errors
....................
10.2
Sources of Non-sampling Errors
.............. 192
10.3
Observational Errors
.................... 192
10.4
Estimation of the Variance
.................
!97
10.5
Optimum Value of the Number of Enumerators
..... 201
10.6
Problem of Non-response
..................
^3
xii
Theory of Sample Surveys
Appendix: Table of Random Numbers
211
References
213
Index
223
|
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| id | DE-604.BV041278930 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:43:52Z |
| institution | BVB |
| isbn | 9789814322478 9814322474 |
| language | English |
| lccn | 2011377567 |
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| owner | DE-20 DE-473 DE-BY-UBG DE-83 |
| owner_facet | DE-20 DE-473 DE-BY-UBG DE-83 |
| physical | XII, 224 S. 23 cm |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Gupta, Arjun K. 1938- Verfasser (DE-588)122205103 aut Theory of sample surveys Arjun K. Gupta ; D. G. Kabe New Jersey [u.a.] World Scientific 2011 XII, 224 S. 23 cm txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references (p. 213-222) and index Sampling (Statistics) Stichprobe (DE-588)4057502-0 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Stichprobe (DE-588)4057502-0 s Mathematische Methode (DE-588)4155620-3 s DE-604 Kabe, Dattatraya G. Verfasser (DE-588)172202752 aut Digitalisierung UB Bamberg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026252403&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gupta, Arjun K. 1938- Kabe, Dattatraya G. Theory of sample surveys Sampling (Statistics) Stichprobe (DE-588)4057502-0 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| subject_GND | (DE-588)4057502-0 (DE-588)4155620-3 |
| title | Theory of sample surveys |
| title_auth | Theory of sample surveys |
| title_exact_search | Theory of sample surveys |
| title_full | Theory of sample surveys Arjun K. Gupta ; D. G. Kabe |
| title_fullStr | Theory of sample surveys Arjun K. Gupta ; D. G. Kabe |
| title_full_unstemmed | Theory of sample surveys Arjun K. Gupta ; D. G. Kabe |
| title_short | Theory of sample surveys |
| title_sort | theory of sample surveys |
| topic | Sampling (Statistics) Stichprobe (DE-588)4057502-0 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| topic_facet | Sampling (Statistics) Stichprobe Mathematische Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026252403&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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