7.23.       Amitriptyline is prescribed by some physicians as an antidepressant. Howev­ er, there are also conjectured side effects that seem to be related to the use of the drug: irregular heartbeat, abnormal blood pressures, and irregular waves on the electrocardiogram, among other things. Data gathered on 17 patients who were admitted to the hospital after an amitriptyline overdose are given in Table 7.6. The two response variables are

 

 

TABLE 7.6   AMITRIPTYLINE DATA

 

Source: See [21].

 

 

Yi == Total TCAD plasma level (TOT)

Y2 == Amount of amitriptyline present in TCAD plasma level (AMI)

The five predictor variables are

Z1 == Gender: 1 if female, 0 if male (GEN)

Z2 == Amount of antidepressants taken at time of overdose (AMT ) Z3 == PR wave measurement (PR)

Z4 == Diastolic blood pressure (DIAP) Z5 == QRS wave measurement ( QRS)

(a)   Perform a regression analysis using only the first response Yi .

(i)        Suggest and fit appropriate linear regression models.

(ii)      Analyze the residuals.

(iii)    Construct  a  95%  prediction  interval  for  Total TCAD  for  z1 ==     1 ,

z2 == 1200, z3 == 140, z4 == 70, and z5 == 85.

(b)   Repeat Part a using the second response }2 .

(c)   Perform a multivariate multiple regression analysis using both responses Yi

and Y2 •

(i)        Suggest and fit appropriate linear regression models.

(ii)      Analyze the residuals.

(iii)    Construct a 95% prediction ellipse for both Total TCAD and Amount of amitriptyline for z1  == 1, z2 == 1200, z3 ==     140, z4 == 70, and z5  == 85.

Compare this ellipse with the prediction intervals in Parts a and b.

Comment.

 

 

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