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Which treatment


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17 replies to this topic

#1 mmiguel

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Posted 04 September 2012 - 03:01 AM

You are a doctor in charge of a large hospital, and you have to decide which treatment should be used for a particular disease. You have the following data from last month: there were 390 patients with the disease. Treatment A was given to 160 patients of whom 100 were men and 60 were women; 20 of the men and 40 of the women recovered. Treatment B was given to 230 patients of whom 210 were men and 20 were women; 50 of the men and 15 of the women recovered.


A.) Which treatment is better for men?

B.) Which treatment is better for women?

C.) Which treatment is better for any person, regardless of gender?
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#2 phil1882

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Posted 04 September 2012 - 04:08 AM

Spoiler for

Edited by phil1882, 04 September 2012 - 04:11 AM.

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#3 mmiguel

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Posted 04 September 2012 - 04:55 AM

Spoiler for


So which treatment deserves further investment by the charities supporting people with this disease?

:P
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#4 jim

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Posted 04 September 2012 - 05:20 AM

B for men, B for women, so obviously B is the better treatment regardless of gender--although this might not be statistically significant.

But if you had only told me the overall numbers without a gender breakdown I would have picked A--but given the gender breakdown info I pick B.
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#5 phil1882

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Posted 04 September 2012 - 12:24 PM

jim, try actually doing the math.
60/160 > 65/230
if you were to invest in a medicine, i would however recommend B. doctors are generally given the gender of their patient.
A would only be better where gender is not known.
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#6 Pat22ryan

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Posted 04 September 2012 - 05:34 PM

Calculate the number of recoveries per 1,000 patients treated.

Test A:
Men = 250/1000
Women = 666/1000

Test B:
Men = 238/100
Women = 500/1000

Accordingly Treatment A is prefered for both sexes.
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#7 phil1882

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Posted 04 September 2012 - 07:45 PM

pat, I'm not sure where you're getting those numbers.
390 patients treated.
160 given test A; 230 test B.
if 1000 patients treated, the ratios should be the same.
304 given test A; 696 test B
190 of test A male, with 38 recovering
114 of test A female, with 76 recovering.
635 of test B male, with 151 recovering.
61 of test B female, with 46 recovering.
again, test B is better if you know the gender of your patient, but if you don't test A is better.

Edited by phil1882, 04 September 2012 - 07:55 PM.

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#8 phil1882

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Posted 04 September 2012 - 08:01 PM

edit: did my first calculation wrong! whoops.
if 1000 patients treated,
410 given test A; 590 test B
256 of test A male, with 51 recovering
154 of test A female, with 103 recovering.
539 of test B male, with 128 recovering.
64 of test B female, with 38 recovering.
again, test B is better if you know the gender of your patient, but if you don't test A is better.
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#9 kbrdsk

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Posted 04 September 2012 - 08:57 PM

I give my funding to treatment B as long as they promise to stop testing such a disproportionately small number of women.
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#10 Rob_Gandy

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Posted 04 September 2012 - 09:36 PM

Spoiler for Hmm...

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