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Cited by 916

The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.

The Up-and-Down Method for Small Samples

Dixon, W. J.·1965·Journal of the American Statistical Association

Abstract

A modified up-and-down method for sensitivity testing (all-or-none assays) is presented with maximum likelihood estimates of LD50 tabulated for all sample sequences for nominal sample size N ≤ 6. Approximate estimates for larger sample sizes are given. The design uses sequentially determined test levels and sequentially determined sample sizes. The estimates have mean square error approximately independent of the chosen starting level of the test sequence and the spacing between test levels. The actual sample size rarely exceeds the nominal sample size by more than two for moderately well chosen starting levels. Examples of the use of the method are given for two analyses of variance designs.

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Metadata

Authors
Dixon, W. J.
Venue
Journal of the American Statistical Association
Published
1965-12
Volume
60
Issue
312
Pages
967-978
ISSN
  • 0162-1459 (ISSN-L)
  • 1537-274X
OpenAlex
W2048890215
Cited by
916
References
6
FWCI
5.71
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: The Up-and-Down Method for Small Samples. https://app.cochat.ai/papers/10.1080/01621459.1965.10480843
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Dixon, W. J. (1965). The Up-and-Down Method for Small Samples. Journal of the American Statistical Association. https://doi.org/10.1080/01621459.1965.10480843

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.