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Data on the counts of insects in agricultural experimental units treated with di

ID: 3277604 • Letter: D

Question

Data on the counts of insects in agricultural experimental units treated with different insecticide spray was analyzed in the article Beall, G., (1942) The Transformation of data from entomological field experiments, Biometrika, 29, 243-262.

What are three pieces of information you get from this plot.

(2) Rosiglitazone is the active ingredient in the controversial type 2 diabetes medicine Avandia and hasbeen linked to an increased risk of serious cardiovascular problems such as stroke, heart failure, and death. A common alternative treatment is pioglitazone, the active ingredient in a diabetes medicine called Actos. Data collected as part of a nationwide retrospective observational study of 227,571 Medicare beneficiaries aged 65 years or older are summarized in the contingency table below.

(a) How many patients on Pioglitazone had cardiovascular problems? How many patients on Rosiglitazone had problems? Can we conclude from these numbers that the rate of cardiovascular problems for those on a Pioglitazone treatment is higher.

(b) Do the data suggest that diabetic patients who are taking rosiglitazone are more likely to have cardiovascular problems than those on pioglitazone? Justify your answer.

(c) What proportion of all patients had cardiovascular problems?

Count of insects sprayed 0 5 10 15 20 25

Explanation / Answer

(first part) this is box plot,

there are outlieres in C and D

maximum value 25 belongs to F

minimum value 0 belogs to C

(second part)

(a)5386 ( out of 159978) patients on Pioglitazone had cardiovascular problems.

2593 ( out of 67593) patients on Rosiglitazone had problems.

No, rate for Pioglitazone=5386/159978=0.0337 is less than  Rosiglitazone =2593/67593=0.0384

(b) yes ,  rate for Pioglitazone=5386/159978=0.0337 is less than  Rosiglitazone =2593/67593=0.0384

(c) required proportion=7979/227571=0.0351