Chi-Square Test of Independence

$\chi^{2}$ Test of Independence

H₀: The two variables are independent.

H_A: The two variables are dependent.

T.S.

$\begin{displaymath}X = \sum\frac{(observed - expected)^{2}}{expected}\end{displaymath}$

where expected value,

$\begin{displaymath}E_{ij} = \frac{(row \ total \ for \ row \ i)(column \ total \ for \ column \ j)}{n}\end{displaymath}$

$\chi^{2}$ has (r-1)(c-1) df, where

r = number of rows

c = number of columns

P-value = $P\left(\chi^{2}(r-1)(c-1) \ \textrm{df} \ > X^{2}\right)$

Jonathan Payne
1999-04-08