Definitions for probit
pro·bit

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1. probitnoun

   A unit, derived from a standard distribution, used in measuring the responses to doses

WikipediaRate this definition:0.0 / 0 votes

1. Probit

   In probability theory and statistics, the probit function is the quantile function associated with the standard normal distribution. It has applications in data analysis and machine learning, in particular exploratory statistical graphics and specialized regression modeling of binary response variables. Mathematically, the probit is the inverse of the cumulative distribution function of the standard normal distribution, which is denoted as Φ ( z ) {\displaystyle \Phi (z)} , so the probit is defined as probit ⁡ ( p ) = Φ − 1 ( p ) for p ∈ ( 0 , 1 ) {\displaystyle \operatorname {probit} (p)=\Phi ^{-1}(p)\quad {\text{for}}\quad p\in (0,1)} .Largely because of the central limit theorem, the standard normal distribution plays a fundamental role in probability theory and statistics. If we consider the familiar fact that the standard normal distribution places 95% of probability between −1.96 and 1.96, and is symmetric around zero, it follows that Φ ( − 1.96 ) = 0.025 = 1 − Φ ( 1.96 ) . {\displaystyle \Phi (-1.96)=0.025=1-\Phi (1.96).\,\!} The probit function gives the 'inverse' computation, generating a value of a standard normal random variable, associated with specified cumulative probability. Continuing the example, probit ⁡ ( 0.025 ) = − 1.96 = − probit ⁡ ( 0.975 ) {\displaystyle \operatorname {probit} (0.025)=-1.96=-\operatorname {probit} (0.975)} .In general, Φ ( probit ⁡ ( p ) ) = p {\displaystyle \Phi (\operatorname {probit} (p))=p} and probit ⁡ ( Φ ( z ) ) = z . {\displaystyle \operatorname {probit} (\Phi (z))=z.}

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1. Probit

   In probability theory and statistics, the probit function is the quantile function, i.e., the inverse cumulative distribution function, associated with the standard normal distribution. It has applications in exploratory statistical graphics and specialized regression modeling of binary response variables. The standard normal distribution is commonly denoted as N and its CDF as . Function is a continuous, monotone increasing sigmoid function whose domain is the real line and range is. As an example, consider the familiar fact that the N distribution places 95% of probability between −1.96 and 1.96, and is symmetric around zero. It follows that The probit function gives the 'inverse' computation, generating a value of an N random variable, associated with specified cumulative probability. Formally, the probit function is the inverse of, denoted . Continuing the example, In general, The idea of probit was published in 1934 by Chester Ittner Bliss in an article in Science on how to treat data such as the percentage of a pest killed by a pesticide. Bliss proposed transforming the percentage killed into a "probability unit" which was linearly related to the modern definition. He included a table to aid other researchers to convert their kill percentages to his probit, which they could then plot against the logarithm of the dose and thereby, it was hoped, obtain a more or less straight line. Such a so-called probit model is still important in toxicology, as well as other fields. The approach is justified in particular if response variation can be rationalized as a lognormal distribution of tolerances among subjects on test, where the tolerance of a particular subject is the dose just sufficient for the response of interest.

How to pronounce probit?

1. Alex

   US English

   David

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   Mark

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   Daniel

   British

   Libby

   British

   Mia

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   Karen

   Australian

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   Australian

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   Neerja

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   Zira

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   South African

How to say probit in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of probit in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of probit in Pythagorean Numerology is: 8

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References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Probit
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Probit
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=probit