Counting by weighing:know your numbers with confidence

Liu, Wei and Han, Yang and Bretz, Frank and Wan, Fang and Yang, Ping (2016) Counting by weighing:know your numbers with confidence. Journal of the Royal Statistical Society: Series C (Applied Statistics), 65 (4). pp. 641-648. ISSN 0035-9254

[img]
Preview
PDF (accepted version RSSC)
accepted_version_RSSC.pdf - Accepted Version
Available under License Creative Commons Attribution-NonCommercial.

Download (253kB)

Abstract

Counting by weighing is often more efficient than counting manually, which is time consuming and prone to human errors, especially when the number of items (e.g. plant seeds, printed labels or coins) is large. Papers in the statistical literature have focused on how to count, by weighing, a random number of items that is close to a prespecified number in some sense. The paper considers the new problem, arising from a consultation with a company, of making inference about the number of 1p coins in a bag with known weight for infinitely many bags, by using the estimated distribution of coin weight from one calibration data set only. Specifically, a lower confidence bound has been constructed on the number of 1p coins for each of infinitely many future bags of 1p coins, as required by the company. As the same calibration data set is used repeatedly in the construction of all these lower confidence bounds, the interpretation of coverage frequency of the lower confidence bounds that is proposed is different from that of a usual confidence set.

Item Type:
Journal Article
Journal or Publication Title:
Journal of the Royal Statistical Society: Series C (Applied Statistics)
Additional Information:
This is the peer reviewed version of the following article: Liu, W., Han, Y., Bretz, F., Wan, F. and Yang, P. (2016), Counting by weighing: know your numbers with confidence. Journal of the Royal Statistical Society: Series C (Applied Statistics), 65: 641–648. doi: 10.1111/rssc.12142 which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1111/rssc.12142/abstract This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/1800/1804
Subjects:
ID Code:
79023
Deposited By:
Deposited On:
13 Apr 2016 10:50
Refereed?:
Yes
Published?:
Published
Last Modified:
29 Mar 2020 04:31