False positive rate

When performing multiple comparisons in a statistical analysis, the false positive rate is the probability of falsely rejecting the null hypothesis for a particular test among all the tests performed. If the false positive rate is a constant α for all tests performed, it can also be interpreted as the expected proportion among all tests performed that are false positives (also known as type 1 errors).

In the setting of analysis of variance (ANOVA), the false positive rate is referred to as the comparisonwise error rate or pairwise error rate. When three or more treatments are studied in parallel, a comparison can be made for each pair of treatments to assess whether one of the treatments is superior to the other. For example, if three treatments are studied, there are three pairwise comparisons among them.

The false positive rate is very different from the familywise error rate, which is the probability that at least one of the tests that are performed results in a type I error. As the number of tests grows, the familywise error rate generally tends to 1 even while the false positive rate remains fixed.

This statistics-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Statistics stubs Multiple comparisons Statistical tests Analysis of variance Wikimedia Foundation. 2010. Игры ⚽ Нужно решить контрольную? Comparisons of life-cycle greenhouse gas emissions Compars Herrmann Look at other dictionaries: False Acceptance Rate — Die Falschakzeptanzrate oder FAR (auch false acceptance rate oder false accept rate, selten false acception rate oder false acceptance ratio) ist ein Begriff der Biometrie. Er beschreibt die Wahrscheinlichkeit bzw. relative Häufigkeit, mit der… …   Deutsch Wikipedia False acception rate — Die Falschakzeptanzrate oder FAR (auch false acceptance rate oder false accept rate, selten false acception rate oder false acceptance ratio) ist ein Begriff der Biometrie. Er beschreibt die Wahrscheinlichkeit bzw. relative Häufigkeit, mit der… …   Deutsch Wikipedia False discovery rate — (FDR) control is a statistical method used in multiple hypothesis testing to correct for multiple comparisons. In a list of rejected hypotheses, FDR controls the expected proportion of incorrectly rejected null hypotheses (type I errors).… …   Wikipedia False positive paradox — The false positive paradox is a situation where the incidence of a condition is lower than the false positive rate of a test and therefore when the test shows that a condition exists, it is probable that the result is a false positive. If there… …   Wikipedia false positive — false positives N COUNT: oft N n A false positive is a mistaken result of a scientific test. For example, if the result of a pregnancy test is a false positive, it indicates that a woman is pregnant when she is not. ...a high rate of false… …   English dictionary False acceptance ratio — Die Falschakzeptanzrate oder FAR (auch false acceptance rate oder false accept rate, selten false acception rate oder false acceptance ratio) ist ein Begriff der Biometrie. Er beschreibt die Wahrscheinlichkeit bzw. relative Häufigkeit, mit der… …   Deutsch Wikipedia False alarm — For a more generic meaning, see False positive. For other uses, see False alarm (disambiguation). A false alarm, also called a nuisance alarm, is the phony report of an emergency, causing unnecessary panic and/or bringing resources (such as… …   Wikipedia Base rate fallacy — The base rate fallacy, also called base rate neglect or base rate bias, is an error that occurs when the conditional probability of some hypothesis H given some evidence E is assessed without taking into account the base rate or prior probability …   Wikipedia Positive feedback — Alarm or panic can spread by positive feedback among a herd of animals to cause a stampede. Positive feedback is energy taken from the output of a system and reapplied to the input, which is phase congruent with the input signal. A system… …   Wikipedia False position method — The false position method or regula falsi method is a term for problem solving methods in algebra and calculus. In simple terms, these methods begin by attempting to evaluate a problem using test ( false ) values for the variables, and then… …   Wikipedia 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”