Question

13 a-d.  What would be the best test for the scenario? State the test and why.								List of Potential Tests
								z-test
								One-sample t-test
								Independent samples t-test
								Paired t-test
								Analysis of Variance (ANOVA)
								Simple Linear Regression
								Multiple Linear Regression
								Logistic Regression
								Chi-square Test of Independence
a.  Does marijuana smoking affect the appetite of cancer patients?
Compare three smoking groups (i.e., never, less than 4 times per month, 4 or more times per month) on the number of calories consumed in a week.  Each group has 20 people.
b.  Do women diagnosed with gestational diabetes consume fewer grams of carbohydrates each day than other pregnant women?
A study was conducted with 50 women with gestational diabetes and 75 nondiabetic pregnant women.
c.  Does age and fitness activity influence weight loss?
Your fitness center starts a version of the Biggest Loser.  They enroll 30 participants and measure weight loss every other week over a 10 week period.  Weight loss is defined as pounds lost in two week period.  Age is categorized into 4 groups.  Fitness activity is measured as number of hours spent exercising per two week period.
d.  Does the experience level of surgeon, surgery location, and comorbidity influence post surgical complications?
A sample of 100 surgeries for a specific procedure is obtained, along with the number of the same procedure done in the past year by surgeon, surgery location (Ambulatory Surgery Center/Hospital), whether the patient had two specific comorbid conditions, and whether the patient had post surgical complications (Yes if complication/No if no complication).

Answer 1

Solution

Q13

Part (a)

ANOVA – one way classification with equal number of replications per group (treatment). Answer 1

3 smoking groups form the treatment. Calory consumed by the subjects form the response variable – a continuous one. 20 people in each group provide the replications.And matter of concern is whether the three goups differ on calories consumed on an average.

Part (b)

Independent samples t-test Answer 2

50 women with gestational diabetes and 75 nondiabetic pregnant women. Form two independent samples and the response variable is consumption of carbohydrates each day. Matter of interest is to test if the mean consumption of carbohydrates each day of ‘diabetes’group is less than that of ‘nondiabetic’ group.

Part (c)

ANOVA – two way classification with equal/unequal number of replications per cell. Answer 3

Treatments - 2 age group and fitness activity. Response variable: weight loss.

Part (d)

Chi-square test for independence. Answer 4

DONE