A study of Hodgkins disease classified n 538 patients by hi

A study of Hodgkin\'s disease classified n = 538 patients by histological type (LP = lymphocyte predominance, NS = nodular sclerosis, MC = mixed cellularity, LD = lymphocyte depletion) and response to treatment (positive, partial, none), resulting in the following 4 x 3 contingency table:^9 Positive Partial None LP 74 18 12 NS 68 16 12 MC 154 54 58 LD 18 10 44 Do these data provide evidence that response to treatment for Hodgkin\'s disease varies by histological type?

Solution

We use Chi-square Contingency Table Test for Independence

Null hypothesis: response to treatment for Hodgkin\'s disease dose not vary by histological type

Alternative hypothesis: response to treatment for Hodgkin\'s disease varies by histological type

		Positive	Partial	None	Total
LP	Observed	74	18	12	104
	Expected	60.70	18.94	24.36	104.00
	(O - E)