# Question: A potential criticism of analyzing these data as if they

A potential criticism of analyzing these data as if they were two independent samples is that the measurements taken in 1996 were taken at the same sites as the measurements taken in 1982. Thus, there is the possibility that there will be a strong positive correlation between the pair of observations at each site.

a. Plot the pairs of observations in a scatterplot with the 1982 values on the horizontal axis and the 1996 values on the vertical axis. Does there appear to be a positive correlation between the pairs of measurements? Estimate the correlation between the pairs of observations?

b. Compute the correlation coefficient between the pairs of observations. Does this value confirm your observations from the scatterplot? Explain your answer.

c. Answer the questions posed in parts (a) and (b) of Exercise 6.11 using a paired data analysis. Are your conclusions different from the conclusions you reached treating the data as two independent samples?

a. Plot the pairs of observations in a scatterplot with the 1982 values on the horizontal axis and the 1996 values on the vertical axis. Does there appear to be a positive correlation between the pairs of measurements? Estimate the correlation between the pairs of observations?

b. Compute the correlation coefficient between the pairs of observations. Does this value confirm your observations from the scatterplot? Explain your answer.

c. Answer the questions posed in parts (a) and (b) of Exercise 6.11 using a paired data analysis. Are your conclusions different from the conclusions you reached treating the data as two independent samples?

**View Solution:**## Answer to relevant Questions

Suppose you are a participant in a project to study the effectiveness of a new treatment for high cholesterol. The new treatment will be compared to a current treatment by recording the change in cholesterol readings over a ...A random sample of eight pairs of twins were randomly assigned to treatment A or treatment B. The data are given in the following table. a. Is there significant evidence that the two treatments differ using an α = .05 ...Refer to Exercise 6.37. Suppose that the agency sponsoring the study specifies that the group receiving the drug should have twice as many patients as the placebo group. Determine the sample sizes necessary for an α = .05 ...Refer to Exercise 6.46. Answer the following questions using the combined data for both depths. a. Use the Wilcoxon rank sum test to assess whether there is a difference in population abundances between the sites within and ...All persons running for public office must report the amounts of money spent during their campaigns. Political scientists have contended that female candidates generally find it difficult to raise money and therefore spend ...Post your question