An open label study is conducted to assess the time to pain relief following tre

Question

An open label study is conducted to assess the time to pain relief following treatment in patients with arthritis. The following linear regression equations are estimated relating time to pain relief measured in minutes (dependent variable) to participants age (in years), gender (coded 1 for males and O for females) and severity of disease (a score ranging from o to 100 with higher scores indicative of more severe arthritis) Time to Pain Relief =-24.2 +0.9 Age Time to Pain Relief= 11.8 + 19.3 Male Gender Time to Pain Relief 3.2+ 0.4 Severity Time to Pain Relief -19.8 +0.50 Age + 10.9 Male Gender + 0.2 Severity a. What is the expected time to pain relief for a male following treatment b. IWhat is the expected time to pain relief for a participant aged 0 following treatment? Time to pain relief_ t is the expected time to pain relief for a participant aged 50 following treatment? Time to pain relief rc

Explanation / Answer

Since the dependent variable “time to pain relief” must be the continuous variable. Thus, it can be assumed that the linear regression is being applied.

a)) Now, as per the first part, expected time to pain relief for a male following treatment would be 19.3 minutes. Since, if we do not consider the gender here, then the average time taken for the relief would be 11.8 minutes.

The interpretation we can do in a manner that per male member increase in the sample for treatment, on an average 19.3 minutes of increase in time to relief is observed.

b)) It can be observed from the equation (1)

Time to pain relief = -24.2 + 0.9*age

We can interpret it as per unit increase in the age increases the time to relief by 0.9 minutes.

Now, putting (age = 50) above:

Time to pain relief = -24.2 + 0.9*50

Time to pain relief = -24.2 + 45

Time to pain relief = 20.8 minutes

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