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Trimmed Spearman-Karber method.

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Trimmed Spearman-Karber method.

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13 Aug 2010 (Updated )

This function analyzes a dose-response curve using the Trimmed Spearman-Karber method.

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Description

The MATLAB function in TSK.m analyzes a dose-response curve and calculates the median dose (for instance, the lethal dose for 50% of the population (LD50)) using the Trimmed Spearman-Karber method. This is an alternative to dose-response analysis methods such as probit and logit methods. It does not require glmfit or the stats toolbox.

All calculations in this code are based on the method from Hamilton, M.A.; Russo, R.C.; Thurston, R.V. Trimmed Spearman-Karber Method for Estimating Median Lethal Concentrations in Toxicity Bioassays. Enviro. Sci. Tech. 1977, 11 (7), 714-719: http://dx.doi.org/10.1021/es60130a004. See also ibid, 1978, 12 (4), 417: http://dx.doi.org/10.1021/es60140a017.

This code was validated using the data given in Hamilton et al. (1977) and the example given in the documentation for the EPA's DOS program to perform the Spearman-Karber method. (Note that the confidence intervals given in Hamilton et al. (1977) are incorrect, as per Hamilton et al. (1978).) This code replicates the EPA program's results. Hamilton's test cases are provided in TSKTest.m.

Acknowledgements

Herrorbar inspired this file.

MATLAB release MATLAB 7.5 (R2007b)
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Comments and Ratings (1)
28 Sep 2010 Brenton Stone

Someone asked me via e-mail if it would be better to use the Student's distribution instead of the normal distribution to calculate the confidence intervals. This isn't what was done in Hamilton, but if you want to modify the code and have an install of the stats toolbox, change line 248 to:

v = tinv((1-conf)/2,s+1);

Note: I don't have a copy of the stats toolbox and have not tested this.

Updates
13 Aug 2010

text editing, adding URLs: no changes to code

16 Aug 2010

adding BSD organization clause

25 Mar 2011

bug fixes

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