In each situation, determine whether one-way analysis of variance (ANOVA) is an
ID: 3226690 • Letter: I
Question
In each situation, determine whether one-way analysis of variance (ANOVA) is an appropriate method for analyzing the data described. Briefly explain why or why not for each part.
a) A researcher comapres mean serum cholesterol levels by ABO blood type. To do so, she samples 100 men over age 50 in each blood type (A, B, or O) and measures the serum cholesterol of each man.
b) An oncologist examines four chemotherapy regimens for breast cancer. A randomized experiment is done in which 80 participants are randomly assigned to one of the 4 treatments to form equal size treatment groups. The response variable is five year survival- whether the participant is alive or not 5 years after treatment.
c) Three methods for memorizing information are compared. Participants (n=45) are randomly divided into three groups, and each group memorizes information with a different method. All participants then take a test on the memorized information, and the scores (0-100) are used to compare the methods.
d) A hospital wishes to assess patient satisfaction. Fifty individuals take a survey and rate their experience for each of three questions on a scale of 0-10. The mean scores for each question are compared.
Explanation / Answer
(A) One way ANOVA is appropriate. Because there are 3 groups of equal sizes whose mean values to be compared.
(B) One way ANOVA is not an appropriate method. Because here response is either dead or alive which can not be modelled for ANOVA.
(C) One way ANOVA is an appropriate method. Because 3 groups are formed and their mean score is to be compared.
(D) One way ANOVA is an appropriate method. Because 3 groups are formed in the form 3 questions whose mean scores given by 50 individuals are to be compared.