(3) A clinical trial was conducted to test the effect of a new treatment for HIV with respect to the presence of opportunistic infection (OI). It was also believed that patients' age must be also considered. A total of 30 patients with HIV were enrolled in a trial in which half of them received the new treatment (code-1) and the rest received Placebo (code-0). The output variable was OI coded as Ol-1 if the infection was present, and OI-0 if the infection was not present. The following is the SAS output. PDF The LOGISTIC Procedure Anubyls ofMaximuam Tihelihood Btimate Sunded Wald Estimate Emor Chi-Square Pr>Chiq -5.3563 26498 4.0861 0.0412 -3.7832 1.4460 6.8455 0.0089 0.2021 0.0894 5.1128 0.0237 (a) Estimate the odds ratio within a same age group for comparing the effect the treatment. If the treatment seem to be working? (b) Provide a 95% CI for the odds ratio. (c) Is the treatment effective? Use a=0.05. You must state the value of the test statistics and the p-value. (d) Use the output to determine the estimated risk of Ol for the patients of age 40 who receive the treatment and for the patients of age 40 who do not receive the treatment. (e) Estimate the relative risk of OI for a same age group comparing the treatment and placebo. (f) Does the age have significant effect? Use a = 0.05.

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(3) A clinical trial was conducted to test the effect of a new treatment for HIV with
respect to the presence of opportunistic infection (OI). It was also believed that
patients' age must be also considered. A total of 30 patients with HIV were
enrolled in a trial in which half of them received the new treatment (code=1) and
the rest received Placebo (code=0). The output variable was OI coded as OI=1 if
the infection was present, and OI=0 if the infection was not present. The
following is the SAS output.
The LOGISTIC Procedure
Analysis of Maximum Likelihood Estimates
Parameter DF
Intercept 1
treat
I
Standard Wald
Estimate Error Chi-Square Pr>ChiSq
-5.3563 2.6498 4.0861 0.0432
-3.7832 1.4460 6.8455 0.0089
0.2021 0.0094 5.1128
0.0237
(a) Estimate the odds ratio within a same age group for comparing the effect the
treatment. If the treatment seem to be working?
(b) Provide a 95% CI for the odds ratio.
(c) Is the treatment effective? Use a = 0.05. You must state the value of the test
statistics and the p-value.
(d) Use the output to determine the estimated risk of OI for the patients of age 40
who receive the treatment and for the patients of age 40 who do not receive
the treatment.
(e) Estimate the relative risk of OI for a same age group comparing the treatment
and placebo.
(f) Does the age have significant effect? Use a = 0.05.
Transcribed Image Text:(3) A clinical trial was conducted to test the effect of a new treatment for HIV with respect to the presence of opportunistic infection (OI). It was also believed that patients' age must be also considered. A total of 30 patients with HIV were enrolled in a trial in which half of them received the new treatment (code=1) and the rest received Placebo (code=0). The output variable was OI coded as OI=1 if the infection was present, and OI=0 if the infection was not present. The following is the SAS output. The LOGISTIC Procedure Analysis of Maximum Likelihood Estimates Parameter DF Intercept 1 treat I Standard Wald Estimate Error Chi-Square Pr>ChiSq -5.3563 2.6498 4.0861 0.0432 -3.7832 1.4460 6.8455 0.0089 0.2021 0.0094 5.1128 0.0237 (a) Estimate the odds ratio within a same age group for comparing the effect the treatment. If the treatment seem to be working? (b) Provide a 95% CI for the odds ratio. (c) Is the treatment effective? Use a = 0.05. You must state the value of the test statistics and the p-value. (d) Use the output to determine the estimated risk of OI for the patients of age 40 who receive the treatment and for the patients of age 40 who do not receive the treatment. (e) Estimate the relative risk of OI for a same age group comparing the treatment and placebo. (f) Does the age have significant effect? Use a = 0.05.
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