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Power of a test information


In statistics, the power of a binary hypothesis test is the probability that the test correctly rejects the null hypothesis () when a specific alternative hypothesis () is true. It is commonly denoted by , and represents the chances of a true positive detection conditional on the actual existence of an effect to detect. Statistical power ranges from 0 to 1, and as the power of a test increases, the probability of making a type II error by wrongly failing to reject the null hypothesis decreases.

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Power of a test

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the power of a binary hypothesis test is the probability that the test correctly rejects the null hypothesis ( H 0 {\displaystyle H_{0}} ) when a specific...

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Statistical hypothesis test

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hypothesis test typically involves a calculation of a test statistic. Then a decision is made, either by comparing the test statistic to a critical value...

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Statistics

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error, power of a test and confidence intervals. Jerzy Neyman in 1934 showed that stratified random sampling was in general a better method of estimation...

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Top Gear test track

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a testing facility, with many of its Formula One cars tested there. It was used to test both cars and drivers seen on the programme, mainly in Power Laps...

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Power factor

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engineering, the power factor of an AC power system is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the...

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Optical power meter

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optical power meter (OPM) is a device used to measure the power in an optical signal. The term usually refers to a device for testing average power in fiber...

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Type I and type II errors

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In statistical hypothesis testing, a type I error, or a false positive, is the rejection of the null hypothesis when it is actually true. For example...

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List of Top Gear test track Power Lap times

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This is the full list of "official" Power Lap times on the Top Gear test track. Top Gear define a qualifying vehicle as a road-legal production car on...

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Bechdel test

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The Bechdel test (/ˈbɛkdəl/ BEK-dəl), also known as the Bechdel-Wallace test, is a test to measure the representation of women in film and other fiction...

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Sensitivity and specificity

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specificity mathematically describe the accuracy of a test that reports the presence or absence of a medical condition. If individuals who have the condition...

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Horsepower

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Horsepower (hp) is a unit of measurement of power, or the rate at which work is done, usually in reference to the output of engines or motors. There are...

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List of Test cricket records

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Test cricket is played between international cricket teams who are Full Members of the International Cricket Council (ICC). Unlike One Day Internationals...

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Sample size determination

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interval) this translates to a low target variance of the estimator. the use of a power target, i.e. the power of statistical test to be applied once the sample...

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Sign test

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(rank of x = 1st, rank of y = 8th), then the paired t-test or the Wilcoxon signed-rank test will usually have greater power than the sign test to detect...

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Nuclear power in space

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The United States tested the SNAP-10A nuclear reactor in space for 43 days in 1965, with the next test of a nuclear reactor power system intended for...

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Alternative hypothesis

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compare in a statistical hypothesis test. In the domain of inferential statistics, two rival hypotheses can be compared by explanatory power and predictive...

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Wingate test

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measures peak anaerobic power and anaerobic capacity. The test, which can also be performed on an arm crank ergometer, consists of a set time pedalling at...

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Turing test

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The Turing test, originally called the imitation game by Alan Turing in 1950, is a test of a machine's ability to exhibit intelligent behaviour equivalent...

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Normality test

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More precisely, the tests are a form of model selection, and can be interpreted several ways, depending on one's interpretations of probability: In descriptive...

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