Note: DO NOT WRITE ANSWER IN CURSIVE SCRIPT subject: Biostatistic 6. A study is

Question

Note: DO NOT WRITE ANSWER IN CURSIVE SCRIPT

subject: Biostatistic

6. A study is conducted in patients with HIV. s of ADHD sted for the -Mantel- primary outcome is CD4 cell count, which is a me sure of the stage of the disease. Lower CD4 counts are associated with more advanced disease. The ins vestigators are interested in the association between vitamin and mineral supplements and CD4 count A multiple regression analysis is performed relat ing CD4 count to the use of supplements (coded as 1yes and 0 no) and to the duration of HIV in years (i.e, the number of years between the diag nosis of HIV and the study date). For the analysis y CD4 count The blem 2 are n analysis e models n of chil- Exposed yes and . 501 .41 + 12.67 Supplements- ID 30.23 Duration of HIV. a. What is the expected CD4 count for a patient b. What is the expected CD4 count for a patient nxd c. What is the expected CD4 count for a paten d. If we compare two patients and one has bat ids taking supplements who has had HIV for 25 years? taking supplements who was diagnosed with at study enrollment? taking supplements who has had HIV for25 yeun for 5 years longer than the other, W what is the expected difference in their CD4 counts?

Explanation / Answer

a)
y^ =501.41 + 12.67 * supplement - 30.23 * duration of HIV

here
supplement = 1 , duration = 2.5
hence
y^ = 501.41 + 12.67 - 30.23 *2.5
= 438.505

b)
here supplement = 0 , duration = 0
y^ = 501.41
c)
here supplement = 0 , duration = 2.5
y^ = 501.41 + 12.67*0 - 30.23 *2.5
= 425.835

d)
difference = 5 * 30.23
= 151.15

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