A study is designed to investigate potential adverse eects of drug X. A table gi
ID: 3301258 • Letter: A
Question
A study is designed to investigate potential adverse eects of drug X. A table given below summarizes the first look of the outcomes. The re- searcher randomly assigns 204 from a group of 409 participants to take drug X. The remaining 205 subjects received placebo. Row 1 of the data table gives the numbers of participants who report experiencing adverse effects.
Within the placebo group, 4.2% of younger subjects (age < 55) and 18.8% of older subjects (of age 55+) suffer from adverse effects. In addition, there are 85 participants (out of 205) who are of age 55 or older. Based on this information, please propose an alternative model for the placebo group.
Drug X Placebo
Adverse 30 21
No Effect 174 184
Total 204 205
Explanation / Answer
Y : having adverse reaction or not" will be considered the response variable whereas X (drug or not) will be considered the experiment or independent variable or control variable.
this placebo can be seen as proportion that incorporates both adverse and no effect proportion i.e. 21/205 and 184/205.. The model parameter is true propotion.
proportion is better to consider for the study since it considers the fact that how many samples are present in actual experiment and reflects the weights as per samples. Example
CONSIDER Drug X case:
it says that adverse case for drug x is 30 in number as opposed to 174 in case of no-effect. That means drug X bears very high number of 'no-effect' case compared to adverse case. But in proportion drug x bears 30/51= 59% population of adverse case and 174/358=48% of no-effect case which is less than the case of adverse.
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