Sample Size Determination for the Polychotomous Randomized Response Model for Sensitive Questions in a Stratified Two-Stage Sampling Survey
Methods of finding the minimum value and the Lagrange function were applied to deduce the formulae for the optimum sample sizes for polychotomous randomized response technique (RRT) model in stratified two-stage sampling, so as to minimize the cost for specified sampling errors and to minimize the s...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/738097 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850176218706477056 |
|---|---|
| author | Zongda Jin Bo Yu Xiangke Pu Ge Gao |
| author_facet | Zongda Jin Bo Yu Xiangke Pu Ge Gao |
| author_sort | Zongda Jin |
| collection | DOAJ |
| description | Methods of finding the minimum value and the Lagrange function were applied to deduce the formulae for the optimum sample sizes for polychotomous randomized response technique (RRT) model in stratified two-stage sampling, so as to minimize the cost for specified sampling errors and to minimize the sampling errors under the constraint of a fixed budget. These formulae were successfully applied to sensitive topics survey among men who have sex with men (MSM) in Beijing, China. |
| format | Article |
| id | doaj-art-b05dafc1c0124b0eb90a5aa462b03e09 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b05dafc1c0124b0eb90a5aa462b03e092025-08-20T02:19:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/738097738097Sample Size Determination for the Polychotomous Randomized Response Model for Sensitive Questions in a Stratified Two-Stage Sampling SurveyZongda Jin0Bo Yu1Xiangke Pu2Ge Gao3School of Public Health, Medical College of Soochow University, Suzhou 215123, ChinaDepartment of Mathematics, Dezhou University, Dezhou 253023, ChinaChangzhou No. 2 People’s Hospital, Changzhou 213003, ChinaSchool of Public Health, Medical College of Soochow University, Suzhou 215123, ChinaMethods of finding the minimum value and the Lagrange function were applied to deduce the formulae for the optimum sample sizes for polychotomous randomized response technique (RRT) model in stratified two-stage sampling, so as to minimize the cost for specified sampling errors and to minimize the sampling errors under the constraint of a fixed budget. These formulae were successfully applied to sensitive topics survey among men who have sex with men (MSM) in Beijing, China.http://dx.doi.org/10.1155/2014/738097 |
| spellingShingle | Zongda Jin Bo Yu Xiangke Pu Ge Gao Sample Size Determination for the Polychotomous Randomized Response Model for Sensitive Questions in a Stratified Two-Stage Sampling Survey Journal of Applied Mathematics |
| title | Sample Size Determination for the Polychotomous Randomized Response Model for Sensitive Questions in a Stratified Two-Stage Sampling Survey |
| title_full | Sample Size Determination for the Polychotomous Randomized Response Model for Sensitive Questions in a Stratified Two-Stage Sampling Survey |
| title_fullStr | Sample Size Determination for the Polychotomous Randomized Response Model for Sensitive Questions in a Stratified Two-Stage Sampling Survey |
| title_full_unstemmed | Sample Size Determination for the Polychotomous Randomized Response Model for Sensitive Questions in a Stratified Two-Stage Sampling Survey |
| title_short | Sample Size Determination for the Polychotomous Randomized Response Model for Sensitive Questions in a Stratified Two-Stage Sampling Survey |
| title_sort | sample size determination for the polychotomous randomized response model for sensitive questions in a stratified two stage sampling survey |
| url | http://dx.doi.org/10.1155/2014/738097 |
| work_keys_str_mv | AT zongdajin samplesizedeterminationforthepolychotomousrandomizedresponsemodelforsensitivequestionsinastratifiedtwostagesamplingsurvey AT boyu samplesizedeterminationforthepolychotomousrandomizedresponsemodelforsensitivequestionsinastratifiedtwostagesamplingsurvey AT xiangkepu samplesizedeterminationforthepolychotomousrandomizedresponsemodelforsensitivequestionsinastratifiedtwostagesamplingsurvey AT gegao samplesizedeterminationforthepolychotomousrandomizedresponsemodelforsensitivequestionsinastratifiedtwostagesamplingsurvey |