Yates Correction

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Definition: Yates Correction

Yate’s correction, also known as Yate’s chi-squared test, is used to test independence of events in a cross table i.e. a table showing frequency distribution of variables. It is used to test if a number of observations belonging to different categories validate a null hypothesis. It is a correction made to chi-square values in a binomial frequency distribution table.


It considers that the discrete probability of these frequencies is very near to continuous chi-squared distribution.However, to reduce the error in the assumption, a correction for continuity was suggested by Frank Yates. It is done by reducing the difference between each observed value and its expected value in a binomial frequency table by 0.5. These tests are commonly used when expected frequencies are less than ten.

 

Formula : XYates2 = ∑(│Oi –Ei│- 0.5)2/Ei

 

Eg -

 

Sample A

Sample B

O

80

40

E

79.8

40.2

O-E

0.2

-0.2

(O-E)^2

0.04

0.04

 

XYates2 = 0.0015

 

These tests are commonly used in diagnostics, environmental sciences, biology, etc.


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