Adjusted Wilcoxon signed rank test tables for ratio of percentiles. Issue 7 (9th August 2017)
- Record Type:
- Journal Article
- Title:
- Adjusted Wilcoxon signed rank test tables for ratio of percentiles. Issue 7 (9th August 2017)
- Main Title:
- Adjusted Wilcoxon signed rank test tables for ratio of percentiles
- Authors:
- Huang, Li-Fei
- Abstract:
- ABSTRACT: The ordinary Wilcoxon signed rank test table provides confidence intervals for the median of one population. Adjusted Wilcoxon signed rank test tables which can provide confidence intervals for the median and the 10th percentile of one population are created in this paper. Base-(n + 1) number system and theorems about property of symmetry of the adjusted Wilcoxon signed rank test statistic are derived for programming. Theorem 1 states that the adjusted Wilcoxon signed rank test statistic are symmetric around n ( n + 1)/4. Theorem 2 states that the adjusted Wilcoxon signed rank test statistic with the same number of negative ranks m are symmetric around m(n+1)/2. 87.5% and 85% confidence intervals of the median are given in the table for n = 12, 13, …, 29 to create approximated 95% confidence intervals of the ratio of medians for two independent populations. 95% and 92.5% confidence intervals of the 10th percentile are given in the table for n = 26, 27, 28, 29 to create approximated 95% confidence regions of the ratio of the 10th percentiles for two independent populations. Finally two large datasets from wood industry will be partitioned to verify the correctness of adjusted Wilcoxon signed rank test tables for small samples.
- Is Part Of:
- Communications in statistics. Volume 46:Issue 7(2017)
- Journal:
- Communications in statistics
- Issue:
- Volume 46:Issue 7(2017)
- Issue Display:
- Volume 46, Issue 7 (2017)
- Year:
- 2017
- Volume:
- 46
- Issue:
- 7
- Issue Sort Value:
- 2017-0046-0007-0000
- Page Start:
- 5763
- Page End:
- 5771
- Publication Date:
- 2017-08-09
- Subjects:
- Adjusted Wilcoxon signed rank test table -- Base-(n + 1) number system -- Programming -- Property of symmetry -- Ratio of percentiles
62G15 -- 62G30 -- 62Q05
Mathematical statistics -- Periodicals
Mathematical statistics -- Data processing -- Periodicals
Digital computer simulation -- Periodicals
519.5 - Journal URLs:
- http://www.tandfonline.com/toc/lssp20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/03610918.2016.1177073 ↗
- Languages:
- English
- ISSNs:
- 0361-0918
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3363.431000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 4627.xml