Definitions for phi coefficient
phi coef·fi·cient

Princeton's WordNetRate this definition:0.0 / 0 votes

1. phi coefficient, phi correlation, fourfold point correlationnoun

   an index of the relation between any two sets of scores that can both be represented on ordered binary dimensions (e.g., male-female)

WikipediaRate this definition:0.0 / 0 votes

1. Phi coefficient

   In statistics, the phi coefficient (or mean square contingency coefficient and denoted by φ or rφ) is a measure of association for two binary variables. In machine learning, it is known as the Matthews correlation coefficient (MCC) and used as a measure of the quality of binary (two-class) classifications, introduced by biochemist Brian W. Matthews in 1975. Introduced by Karl Pearson, and also known as the Yule phi coefficient from its introduction by Udny Yule in 1912 this measure is similar to the Pearson correlation coefficient in its interpretation. In fact, a Pearson correlation coefficient estimated for two binary variables will return the phi coefficient. Two binary variables are considered positively associated if most of the data falls along the diagonal cells. In contrast, two binary variables are considered negatively associated if most of the data falls off the diagonal. If we have a 2×2 table for two random variables x and y where n11, n10, n01, n00, are non-negative counts of numbers of observations that sum to n, the total number of observations. The phi coefficient that describes the association of x and y is ϕ = n 11 n 00 − n 10 n 01 n 1 ∙ n 0 ∙ n ∙ 0 n ∙ 1 . {\displaystyle \phi ={\frac {n_{11}n_{00}-n_{10}n_{01}}{\sqrt {n_{1\bullet }n_{0\bullet }n_{\bullet 0}n_{\bullet 1}}}}.} Phi is related to the point-biserial correlation coefficient and Cohen's d and estimates the extent of the relationship between two variables (2×2).The phi coefficient can also be expressed using only n {\displaystyle n} , n 11 {\displaystyle n_{11}} , n 1 ∙ {\displaystyle n_{1\bullet }} , and n ∙ 1 {\displaystyle n_{\bullet 1}} , as ϕ = n n 11 − n 1 ∙ n ∙ 1 n 1 ∙ n ∙ 1 ( n − n 1 ∙ ) ( n − n ∙ 1 ) . {\displaystyle \phi ={\frac {nn_{11}-n_{1\bullet }n_{\bullet 1}}{\sqrt {n_{1\bullet }n_{\bullet 1}(n-n_{1\bullet })(n-n_{\bullet 1})}}}.}

ChatGPTRate this definition:0.0 / 0 votes

1. phi coefficient

   The phi coefficient, also known as mean square contingency coefficient, is a measure of association for two binary variables. This coefficient is used in statistics to provide a value that represents the association between two variables. The value ranges from -1 to +1, where +/-1 signifies a perfect degree of association and 0 signifies no association between the variables. The phi coefficient is mathematically equivalent to the Pearson Correlation Coefficient in a 2x2 contingency table.

Matched Categories

1. • Nonparametric Statistic
   • Statistics

How to pronounce phi coefficient?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say phi coefficient in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of phi coefficient in Chaldean Numerology is: 1

2. Pythagorean Numerology

   The numerical value of phi coefficient in Pythagorean Numerology is: 2

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=phi coefficient
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Phi_Coefficient
3. ^ ChatGPT
   https://chat.openai.com