**Contingency tables - test for
independence**

**Calculator (TI-82) help for
calculation
of the test statistic.**

(This works for the TI-83/84 also, but
that
calculator has its own, better technique using matrices.

See your text book)

EXAMPLE:

embezzlement | fraud | forgery | ||

sent to jail | 22
(33.97) |
130
(118.68) |
20
(19.35 |
172 |

not sent to jail | 57
(45.03 |
146
(157.32) |
25
(25.65) |
228 |

79 | 276 | 45 | 400 |

1. Put the observed values in list L1.

2. Put the expected values in list L2. These are the values in the table in parentheses. The calculation

for the expected values is E = (row total)(column total)/(grand total).

3. Calculate the test statistic (chi - square) as follows:

sum((L1 - L2)^2/L2)

where "sum" is found in 2nd List MATH menu

4. The test statistic for the above example is:

(chi-square) = 9.3323