Perdisco is an e-learning resource which helps students with both general and specialized accounting studies. There are two types of problem sets offered on Perdisco -
Question: As part of a long-term study of individuals 65 years of age or older, sociologists and physicians at the Wentworth medical Center in upstate New York investigated the relationship between geographic location and depression. A sample of 60 individuals, all in reasonably good health, was selected; 20 individuals were residents of Florida, 20 were residents of New York, and 20 were residents of North Carolina. Each of the individuals sampled was given a standardized test to measure depression. The data collected follow; higher test scores indicate higher levels of depression. These data are available on the website that accompanies this text in the file named medical1. A second part of the study considered the relationship between geographic location and depression for individuals 65 years of age or older who had a chronic health condition such as arthritis, hypertension, and/or heart ailment. A sample of 60 individuals with such conditions was identified. Again, 20 were residents of Florida, 20 were residents of New York, and 20 were residents of North Carolina. The levels of depression recorded for this study follow. These data are available on the website that accompanies this text in the file named medical2.
Use inferences about individual treatment means where appropriate. What are your conclusions?
A sample of 60 individuals, all in reasonably good health, was selected; 20 individuals were residents of Florida, 20 were residents of New York, and 20 were residents of North Carolina. Going through the ANOVA table, we see that the value of F test statistic is 5.241 and its corresponding p – value is 0.008 < 0.05, indicating that at least one pair state mean depression scores differ significantly. Going through the Bonferroni Post hoc test, we see that there is a significant mean difference in the depression scores between New York and Florida. On comparing the mean values, we can say that the depression scores is high for respondents in New York when compared to that of Florida state respondents.
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