Question

1. An expert in this kind of immune-system disorder asks about the L-indicator counts of the patients in the study. The next tables show the data when patients are broken into subgroups based on the L-indicator counts.

Table 1: HIGH L-indicator counts

	Response	No Response
Treatment A	20	110
Treatment B	5	30

Table 2: REGULAR L-indicator counts

	Response	No Response
Treatment A	25	10
Treatment B	90	40

1. Show that Treatment A has a better response rate in each of the two L-indicator categories.

2. What is the overall response rate (pooled proportion) among patients with regular L-indicator counts?

3. What is the overall response rate among patients with high L-indicator counts?

4. Which L-indicator category of patients responded better?

Answer 1

For High L-indicator

The response rate of Treatment A =

The response rate of Treatment B =

For Regular L-indicator

The response rate of Treatment A =

The response rate of Treatment B =

So, in every cases Treatment A has a better response rate in both the cases as 0.15 > 0.14 and 0.71 > 0.69

Now, the overall response rate (pooled proportion) among regular L-indicator =

Now, the overall response rate (pooled proportion) among high L-indicator =

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