Comparing Median Lethal Concentration Values Using Confidence Interval Overlap or Ratio Tests
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2006/05/01
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Description:Experimenters in toxicology often compare the concentration-response relationship between two distinct populations using the median lethal concentration (LC50). This comparison is sometimes done by calculating the 95% confidence interval for the LC50 for each population, concluding that no significant difference exists if the two confidence intervals overlap. A more appropriate test compares the ratio of the LC50s to 1 or the log(LC50 ratio) to 0. In this ratio test, we conclude that no difference exists in LC50s if the confidence interval for the ratio of the LC50s contains 1 or the confidence interval for the log(LC50 ratio) contains 0. A Monte Carlo simulation study was conducted to compare the confidence interval overlap test to the ratio test. The confidence interval overlap test performs substantially below the nominal alpha = 0.05 level, closer to p = 0.005; therefore, it has considerably less power for detecting true differences compared to the ratio test. The ratio-based method exhibited better type I error rates and superior power properties in comparison to the confidence interval overlap test. Thus, a ratio-based statistical procedure is preferred to using simple overlap of two independently derived confidence intervals. [Description provided by NIOSH]
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ISSN:0730-7268
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Volume:25
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Issue:5
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NIOSHTIC Number:nn:20030995
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Citation:Environ Toxicol Chem 2006 May; 25(5):1441-1444
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Contact Point Address:National Institute for Occupational Safety and Health, 4676 Columbia Parkway MS-15, Cincinnati, Ohio 45226, USA
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Email:mwheeler@cdc.gov
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Federal Fiscal Year:2006
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Peer Reviewed:True
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Source Full Name:Environmental Toxicology and Chemistry
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Main Document Checksum:urn:sha-512:2c62e5df18e9bc7a1adc9623aa0b6c0552da48159b11a05c9cfb3ad28a57b45ab7be89293bd1e5dece6fb3626b7700ff2015605f8c6b6eaf5fe731cd809c601c
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