N=695 F= 27.2 (p<0.001), R2= 0.43 A researcher is interested in using the follow
ID: 3296037 • Letter: N
Question
N=695 F= 27.2 (p<0.001), R2= 0.43
A researcher is interested in using the following independent (predictor) variables to predict if a group intervention reduces depreswsion in pre-operative surgical patients. The researcher selects critical alpha = 0.05 and operationally defines the variable as follows: Dependent variable; scale 1 to 10 ( normally distributed); 1 = no depression and 10= highest depression. Independent variables: Group; 0= control group and 1 = experimental group Age; number of years Gender; 0= male and 1 = female Smoking; 0= non-smoker Marital Status; 0= unmarried and 1= married
A. which of the following is the most relevent predictor in the model? a. age b. gender c. depression d. group
B. Which variable did NOT make a statiscally significant contribution to the model given an alph 0.05? a. age b. marital status c. smoking d. group
coefficient Unstandardized Coefficient Standardized Coefficeint B Standard Error Beta t SIg Constant 8.364 .253 33.038 .000 Subject age -0.17 .007 -0.96 -2.568 .010 gender 113 146 .025 770 .442 smoking recorded -989. .262 -.133 -3.777 000 marital status .315 .167 .071 1.881 .060 group 3.051 .154 .690 19.853 000Explanation / Answer
A. The most relevent predictor in the model is the one with the lowerst significance, or the highest t value ( irrespective of sign).
Amognst Age , gender, depression and group , Group has the highest t-value of 19.853. Hence, the answer is D) GROUP
B. One with p-value above the critical alpha or .05 is statisticall insignificant. It is , in our case, marital status which has a p-value of .06. Please note that it is more than .05 , hence statistically doesn't make significant contribution to the model.
Answer is B) Marital Status
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