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    Rights statement: 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.

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    Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License

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Counting by weighing: know your numbers with confidence

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Counting by weighing : know your numbers with confidence. / Liu, Wei; Han, Yang; Bretz, Frank; Wan, Fang; Yang, Ping.

In: Journal of the Royal Statistical Society: Series C (Applied Statistics), Vol. 65, No. 4, 08.2016, p. 641-648.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Liu, W, Han, Y, Bretz, F, Wan, F & Yang, P 2016, 'Counting by weighing: know your numbers with confidence', Journal of the Royal Statistical Society: Series C (Applied Statistics), vol. 65, no. 4, pp. 641-648. https://doi.org/10.1111/rssc.12142

APA

Liu, W., Han, Y., Bretz, F., Wan, F., & Yang, P. (2016). Counting by weighing: know your numbers with confidence. Journal of the Royal Statistical Society: Series C (Applied Statistics), 65(4), 641-648. https://doi.org/10.1111/rssc.12142

Vancouver

Liu W, Han Y, Bretz F, Wan F, Yang P. Counting by weighing: know your numbers with confidence. Journal of the Royal Statistical Society: Series C (Applied Statistics). 2016 Aug;65(4):641-648. https://doi.org/10.1111/rssc.12142

Author

Liu, Wei ; Han, Yang ; Bretz, Frank ; Wan, Fang ; Yang, Ping. / Counting by weighing : know your numbers with confidence. In: Journal of the Royal Statistical Society: Series C (Applied Statistics). 2016 ; Vol. 65, No. 4. pp. 641-648.

Bibtex

@article{5a3bf099926e41b093350b669b47a70e,
title = "Counting by weighing: know your numbers with confidence",
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.",
keywords = "Confidence bound, Confidence level, Confidence set, Coverage frequency, Statistical inference",
author = "Wei Liu and Yang Han and Frank Bretz and Fang Wan and Ping Yang",
note = "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.",
year = "2016",
month = aug,
doi = "10.1111/rssc.12142",
language = "English",
volume = "65",
pages = "641--648",
journal = "Journal of the Royal Statistical Society: Series C (Applied Statistics)",
issn = "0035-9254",
publisher = "Wiley-Blackwell",
number = "4",

}

RIS

TY - JOUR

T1 - Counting by weighing

T2 - know your numbers with confidence

AU - Liu, Wei

AU - Han, Yang

AU - Bretz, Frank

AU - Wan, Fang

AU - Yang, Ping

N1 - 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.

PY - 2016/8

Y1 - 2016/8

N2 - 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.

AB - 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.

KW - Confidence bound

KW - Confidence level

KW - Confidence set

KW - Coverage frequency

KW - Statistical inference

U2 - 10.1111/rssc.12142

DO - 10.1111/rssc.12142

M3 - Journal article

VL - 65

SP - 641

EP - 648

JO - Journal of the Royal Statistical Society: Series C (Applied Statistics)

JF - Journal of the Royal Statistical Society: Series C (Applied Statistics)

SN - 0035-9254

IS - 4

ER -