Question

Looking at this contingency table, how do I find what Cramer's V, Lambda and Chi Square are?

	Male	Female
Working Full time	303	263
Working part time	55	86
School	12	21
Keeping House	8	107
Not working	35	26

Answer 1

Chi Square Statistic

Cramer's V

For us, Chi-square = 90.684

k = 2 (Number of Columns)

n = 916 ( Sum of all cells)

Putting everything in above formula we get

V = 0.3146

Lambda

Let's say independent variable is Gender

Dependent Variable is Work status

	Male	Female	Total
Working Full time	303	263	566
Working part time	55	86	141
School	12	21	33
Keeping House	8	107	115
Not working	35	26	61
Total	413	503	916

Let's ignore the Independent Variable (Gender) for now.

so, E1 = 141 + 33 + 115 + 61 = 350

Now, Consider the Independent variable now, and computing the prediction errors,

E2 = 55 + 12 + 8 + 35 + 86 + 21 + 107 + 26 = 350

Putting in Formula we get

Lambda = (E1 - E2) / E1 = (350 - 350) / 350 = 0