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Mental health of a community. An article in theCommunity
Chapter 12, Problem 100E(choose chapter or problem)
Mental health of a community. An article in theCommunity Mental Health Journal (Aug. 2000) use multiple regression analysis to model the level of community adjustment of clients of the Department ofMental Health and Addiction Services in Connecticut.The dependent variable, community adjustment (y), was measured quantitatively based on staff ratings of the clients. (Lower scores indicate better adjustment.) The complete model was a first-order model with 21 independent variables. The independent variables were categorized as Demographic (4 variables), Diagnostic (7 variables),Treatment (4 variables), and Community (6 variables).
a. Write the equation of E(y) for the complete model.
b. Give the null hypothesis for testing whether the7 Diagnostic variables contribute information for the prediction of y.
c. Give the equation of the reduced model appropriate for the test, part b.
d. The test, part b, resulted in a test statistic of F = 59.3and p-value < .0001. Interpret this result in the words of the problem.
Questions & Answers
QUESTION:
Mental health of a community. An article in theCommunity Mental Health Journal (Aug. 2000) use multiple regression analysis to model the level of community adjustment of clients of the Department ofMental Health and Addiction Services in Connecticut.The dependent variable, community adjustment (y), was measured quantitatively based on staff ratings of the clients. (Lower scores indicate better adjustment.) The complete model was a first-order model with 21 independent variables. The independent variables were categorized as Demographic (4 variables), Diagnostic (7 variables),Treatment (4 variables), and Community (6 variables).
a. Write the equation of E(y) for the complete model.
b. Give the null hypothesis for testing whether the7 Diagnostic variables contribute information for the prediction of y.
c. Give the equation of the reduced model appropriate for the test, part b.
d. The test, part b, resulted in a test statistic of F = 59.3and p-value < .0001. Interpret this result in the words of the problem.
ANSWER:Step 1 of 4
(a) We write the complete model is
In this complete model, there are 21 independent variables were categorized as
Demographic (4 variables), Diagnostic (7 variables), Treatment (4 variables), and
Community (6 variables).