Definition:Chi-Squared Test/Lack of Association
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Definition
Let $C$ be a contingency table with $r$ rows and $c$ columns.
The expected number in an arbitrary cells can be calculated from the fixed marginal totals.
A statistic in the form $\chi^2$ as defined in $\chi$-squared test for goodness of fit can be calculated by taking all the observed and expected numbers in each cell and summing over all cells.
The number of degrees of freedom is $\paren {r - 1} \paren {c - 1}$
Large values of $\chi^2$ indicate rejection of the hypothesis that the numbers in the cells are independent.
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Also see
- Results about the $\chi$-squared test can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): chi-squared test: 2.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): chi-squared test: 2.