Chapter 13: Q. 6 (page 547)
In one-way ANOVA,
a. list and interpret the three sums of squares.
b. state the one-way ANOVA identity and interpret its meaning with regard to partitioning the total variation among all the data.
(a) Three sum of squares are SSE, SSTR, and SST.
(b) The One-way ANOVA identity is.
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Denosumab and Osteoporosis. A clinical study was conducted to see whether an antibody called denosumab is effective in the treatment of osteoporosis in postmenopausal women, as reported in the article "Denosumab in Postmenopausal Women with Low Bone Mineral Density (New England Journal of Medicine, Vol. . No. , pp. ) by M. McClung et al. Postmenopausal women with osteoporosis were randomly assigned into groups that received either a placebo a six-month regimen of Denosumab at doses of mg, mg,mg, or mg. The following table provides summary statistics for the body-mass indexes (BMI) of the women in each treatment group.
At the significance level, do the data provide sufficient evidence to conclude that a difference exists in mean BMI for women in the five different treatment groups? Note: For the degrees of freedom in this exercise:
Consider a curve with
Find the value with an area to its right.
How many degrees of freedom does an -curve have? What are those degrees of freedom called?
Losses to Robbery. The Federal Bureau of investigation conducts surveys to obtain information on the value of losses from various types of robberies. Results of the surveys are published in Population-at-Risk Rates and Selected Crime indicators, Independent simple random samples of reports for three types of robberies-highway, gas station, and convenience store gave the following data, in dollars, on the value of losses.
a. What does MSTR measure?
b. What does MSE measure?
c. Suppose that you want to perform a one-way ANOVA to compare the mean losses among the three types of robberies. What conditions are necessary? How crucial are those conditions?
Consider the following hypothetical samples
a. Obtain the sample mean and sample variance of each of the three samples.
b. Obtain SST, SSTR and SSE by using the defining formulas and verify that the one-way ANOVA identity holds.
c. Obtain SST, SSTR and SSE by using the computing formulas.
d. Construct the one-way ANOVA table.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
