In statistics, the multiple comparisons, multiplicity or multiple testing problem occurs when one considers a set of statistical inferences simultaneously[1] or estimates a subset of parameters selected based on the observed values.[2]
The larger the number of inferences made, the more likely erroneous inferences become. Several statistical techniques have been developed to address this problem, for example, by requiring a stricter significance threshold for individual comparisons, so as to compensate for the number of inferences being made. Methods for family-wise error rate give the probability of false positives resulting from the multiple comparisons problem.
^Miller, R.G. (1981). Simultaneous Statistical Inference 2nd Ed. Springer Verlag New York. ISBN 978-0-387-90548-8.
^Benjamini, Y. (2010). "Simultaneous and selective inference: Current successes and future challenges". Biometrical Journal. 52 (6): 708–721. doi:10.1002/bimj.200900299. PMID 21154895. S2CID 8806192.
and 22 Related for: Multiple comparisons problem information
In statistics, the multiplecomparisons, multiplicity or multiple testing problem occurs when one considers a set of statistical inferences simultaneously...
statistics, the Bonferroni correction is a method to counteract the multiplecomparisonsproblem. The method is named for its use of the Bonferroni inequalities...
fallacy is the philosophical or rhetorical application of the multiplecomparisonsproblem (in statistics) and apophenia (in cognitive psychology). It is...
on uncovering such problems in social sciences research. Data dredging is an example of disregarding the multiplecomparisonsproblem. One form is when...
decision-tree while analyzing data was at one point grouped with the multiplecomparisonsproblem as an example of poor statistical method. However Gelman and...
The knapsack problem is the following problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine which items...
metagenomics and associated problems in high-dimensional inference and data analysis including the multiplecomparisonsproblem. Originally from China, she...
the follow-up tests incorporate a method of adjusting for the multiplecomparisonsproblem. Follow-up tests to identify which specific groups, variables...
claim that Einstein's brain is different is not scientific (c.f. Multiplecomparisonsproblem). Not only does the ratio of glia to neurons increase through...
multiple of n log n comparisons, where n is the number of elements in the array to be sorted). Algorithms not based on comparisons, such as counting sort...
Statistical analyses that were not specified before the data were seen Multiplecomparisonsproblem – Statistical interpretation with many tests Look-elsewhere effect –...
On the other hand, big data may also introduce new problems, such as the multiplecomparisonsproblem: simultaneously testing a large set of hypotheses...
editorial argued that the study did not properly address the multiplecomparisonsproblem, in that the authors neglected to fully analyze all 28 possible...
Health (CROWN) Initiative is one effort to standardize outcomes. Multiplecomparisonsproblem "median overall survival". NCI Dictionary of Cancer Terms. National...
Compared to what? Small multiple designs, multivariate and data bountiful, answer directly by visually enforcing comparisons of changes, of the differences...
given the large number of voxels in a typical fMRI scan and the multiplecomparisonsproblem. Before the controversies were publicized in 2010, between 25...
an example of simple problem solving (SPS) addressing one issue, whereas the latter is complex problem solving (CPS) with multiple interrelated obstacles...