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Multiple Comparisons

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Encyclopedia of Clinical Neuropsychology
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Definition

Multiple comparisons involve the situation when more than one statistical test of significance is conducted on a single set of data (Hu 1999). Statistical tests estimate the probability that the observed difference could occur on the basis of chance findings. If p < 0.05, the difference found is likely to be seen only five times if the experiment is repeated 100 times. If more than one comparison is completed, the experiment-wide error rate changes. In these instances, the probability level is inflated, and the researcher may wish to control for experiment-wide error with a mathematical correction. For example, a study may investigate the effect of age on memory, abstract problem-solving, verbal fluency, spatial analysis, and attention. Having multiple comparisons raises the probability that a spurious significant difference may be found for one or more of the variables.

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For a priori comparisons, that is, for comparisons that are planned on the basis of...

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References

  • Hu, J. C. (1999). Multiple comparison: Theory and methods. Boca Raton: CRC Press.

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  • Klockars, A. J., & Sax, G. (1986). Multiple comparisons. Newbury Park: Sage.

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Correspondence to Michael Franzen .

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Franzen, M. (2018). Multiple Comparisons. In: Kreutzer, J.S., DeLuca, J., Caplan, B. (eds) Encyclopedia of Clinical Neuropsychology. Springer, Cham. https://doi.org/10.1007/978-3-319-57111-9_1217

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