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Effect of relative risk and cluster configuration on the power of the one-dimensional scan statistic

Effect of relative risk and cluster configuration on the power of the one-dimensional scan statistic
Effect of relative risk and cluster configuration on the power of the one-dimensional scan statistic
The scan test for clustering in time is based on the maximum number of events in an interval )window( of width w as the window moves across the entire time frame. Power estimates of the scan statistic are simulated for a variety of epidemiologically motivated situations. Two cluster configurations are used: a rectangular pulse, and a triangular pulse designed to emulate environmental contamination. For a rectangular pulse, the relative risk R of disease in the cluster region in R-fold as high as it is for the background region. The power is strongly influenced by the sample size, the relative risk, and the width or duration of the cluster region, whereas the effect of the cluster configuration is small. Using a 5 per cent significance level, a relative risk of 4, a standardized cluster duration of 0·10, a relative window width of 1·5, and a )non-random( sample size of 50, the simulated power is approximately 80 per cent, indicating that the minimum sample size in the cluster region for adequate power is in the 12-32 range for values of the parameters used in this study.
0277-6715
1853-1865
Sahu, S.K.
33f1386d-6d73-4b60-a796-d626721f72bf
Bendel, R.B.
0c1919bf-0859-4535-8ebd-65aa4f9482c2
Sison, C.P.
06203756-73b9-4b32-a9f6-6bdb73178795
Sahu, S.K.
33f1386d-6d73-4b60-a796-d626721f72bf
Bendel, R.B.
0c1919bf-0859-4535-8ebd-65aa4f9482c2
Sison, C.P.
06203756-73b9-4b32-a9f6-6bdb73178795

Sahu, S.K., Bendel, R.B. and Sison, C.P. (1993) Effect of relative risk and cluster configuration on the power of the one-dimensional scan statistic. Statistics in Medicine, 12 (19-20), 1853-1865. (doi:10.1002/sim.4780121912).

Record type: Article

Abstract

The scan test for clustering in time is based on the maximum number of events in an interval )window( of width w as the window moves across the entire time frame. Power estimates of the scan statistic are simulated for a variety of epidemiologically motivated situations. Two cluster configurations are used: a rectangular pulse, and a triangular pulse designed to emulate environmental contamination. For a rectangular pulse, the relative risk R of disease in the cluster region in R-fold as high as it is for the background region. The power is strongly influenced by the sample size, the relative risk, and the width or duration of the cluster region, whereas the effect of the cluster configuration is small. Using a 5 per cent significance level, a relative risk of 4, a standardized cluster duration of 0·10, a relative window width of 1·5, and a )non-random( sample size of 50, the simulated power is approximately 80 per cent, indicating that the minimum sample size in the cluster region for adequate power is in the 12-32 range for values of the parameters used in this study.

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Published date: 1993
Organisations: Statistics

Identifiers

Local EPrints ID: 54068
URI: http://eprints.soton.ac.uk/id/eprint/54068
ISSN: 0277-6715
PURE UUID: e60355d3-9edd-4d07-83c4-e87526e4ada9
ORCID for S.K. Sahu: ORCID iD orcid.org/0000-0003-2315-3598

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Date deposited: 04 Aug 2008
Last modified: 16 Mar 2024 03:15

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Contributors

Author: S.K. Sahu ORCID iD
Author: R.B. Bendel
Author: C.P. Sison

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