Question: Caregiver Burden of Senile Dementia Patients

Son et al. in their paper "Korean Adult Child Caregivers or Older Adults with Dementia" in the Journal of Gerontological Nursing (2003) examined the relationship between burden on the family caregivers and general characteristics of the family member with senile dementia. The dependent variable or response is caregiver burden as measured by the Korean Burden Inventory (BURDEN). Scores on this response ranges from 28 to 140, with higher scores indicating higher burden. Explanatory variables or predictors were the following:

 X ₁ = CGAGE – caregiver age (years)

 X ₂ = CGINCOME – caregiver income (Won-Korean currency)

 X ₃ = CGDUR – caregiver-duration of caregiving (month)

 X ₄ = ADL – total activities of daily living where low scores indicate the elderly perform activities independently.

 X ₅ = MEM – memory and behavioral problems with higher scores indicating more problems

 X ₆ = COG – cognitive impairment with lower scores indicating a greater degree of cognitive impairment.

 X ₇ = SOCIALSU – total score of perceived social support (25 – 175, higher values indicating more support)

 Y = BURDEN - caregiver burden as measured by the Korean Burden Inventory.

Data File: Caregiver Burden.JMP

1. Examine a scatter plot matrix for these data. Which predictors exhibit the strongest
   correlation with the response? Comment anything else that seems interesting. (4 pts.)
2. Find the partial correlation for the potential predictors with the response, which
   predictors have the strongest adjusted relationship with the response. Explain. (3 pts.)
   
3. Fit the multiple regression model using all of the available predictors. What is the R-
   square? What is the adjusted R-square? Interpret these quantities. (3 pts.)
4. Perform backward elimination to reduce the full model to a reduced "final" model.
   List the predictors in order of removal along with theirs p-values. (3 pts.)
   Dropped v ariable p-value Model R ² Change in R ²
   Step 1
   Step 2
   Step 3
   Etc…
5. Check and discuss model assumptions. Include the appropriate graphical displays.
   (3 pts.)
   
6. Use the information provided below along with your final to predict the caregiver burden score for the following individuals. (2 pts.)

Weng Kee Wong

CGAGE = 31, CGINCOME = 200, CGDUR = 48, ADL = 30, MEM = 7, COG = 17, SOCIALSU = 129

Shang Kai Shek

CGAGE = 25, CGINCOME = 600, CGDUR = 24, ADL = 47, MEM = 29, COG = 3, SOCIALSU = 137

Price: $2.99

Solution: The downloadable solution consists of 10 pages
Deliverable: Word Document