For each of the following scenarios, would a one-way analysis of variance be the

Question

For each of the following scenarios, would a one-way analysis of variance be the most appropriate statistical procedure? Explain why or why not. (15 points)

The marketing team for a nation-wide travel agency wants to know if adults with high school, associates, bachelors, masters, and doctoral degrees differ in terms of the amount of money they spend on travel annually.

B. A bakery wants to know if men, women, and children differ in terms of whether or not they like red velvet cupcakes.

C. Medical researchers want to compare the effectiveness of a calcium supplement, a vitamin d supplement, a calcium + vitamin d supplement, and a placebo pill at preventing osteoporosis in women in their early 80s. They obtain a sample of 100 women who are 80 years old. The women are randomly assigned to receive one of the four treatments. After 5 years the researchers record the proportion of women in each treatment group who have been diagnosed with osteoporosis.

D. An educational researcher wants to compare the effectiveness of three different instructional methods. Students are randomly assigned to receive one of the three instructional methods. After four weeks of instruction their knowledge is measured using an exam worth up to 100 points.

E. A group of researchers have measured the wrist diameter, wrist flexibility, and body mass index of 50 adult males. They want to examine the relationships between the three variables.

Explanation / Answer

We use one way analysis of variance for checking the significant difference in the population means for the means or averages of the more than two populations. So, if there are more than three samples, we would use a one way analysis of variance.

a)      Here, the most appropriate statistical procedure is one way analysis of variance because we want to check the significant difference for average amount spend on travel for more than two samples given as adults with high school, associates, bachelors, masters, and doctoral degrees.

b)      Here, we cannot use the one way analysis of variance as we have to test for the population proportion.

c)       Here, we cannot use the one way analysis of variance as we have to test for the population proportion.

d)      Here, the most appropriate statistical procedure is one way analysis of variance because we want to check the significant difference for average scores of the students for the three different institutional methods.

e)      Here, we cannot use the one way analysis of variance as the researcher wants to find out the relationship between the three variables and not a significant difference between the averages.

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