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Hoop Ratings
Examine the correspondence between the team ratings of collegiate basketball polls. |
Arts and Economics in Cities: Problem |
In a study to investigate the prevalence of relationships between different socioeconomic factors, 52 western cities were rated by nine criteria: climate terrain, housing, health care environment, crime, transportation, education, arts, recreation, and economics. For housing and crime, the lower the rating score, the better. For the remaining seven criteria, the higher the score, the better.
Find the correlation of the arts and economics ratings for this sample data. Based on your value for the Spearman correlation coefficient would you describe the linear relationship between arts and economics as strong or weak, positive or negative? |
SAS Institute Inc.
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Arts and Economics in Cities: Sample Data | |
The Westernrates data set contains data about ratings on nine criteria (climate and terrain, housing, health care and environment, crime, transportation, education, arts, recreation, and economics) for 52 western cities. These are the variables in the data set: Name | Type | Description | | City | char | city | | State | char | state | | ClimateTerrain | num | rating of climate and terrain | | Housing | num | rating of housing | | HealthCareEnvironment | num | rating of health care and environment | | Crime | num | rating of crime | | Transportation | num | rating of transportation | | Education | num | rating of education | | Arts | num | rating of the arts | | Recreation | num | rating of recreation | | Economics | num | rating of economics | |
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Source of Data
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This data is sample data from SAS Institute Inc. |
Arts and Economics in Cities: Solution |
The correlation value of 0.27926 suggests that there is a weak positive relationship between arts and economics. |
Hoop Ratings: Problem |
The Basketball data set contains the preseason ratings of collegiate basketball teams for the 1985-86 season as given by ten media outlets. Use the Spearman correlation to give an assessment of the relationship between the team ratings by the UPI and AP polls. |
Lee Creighton (modified by Paris Faison)
SAS Institute Inc.
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Hoop Ratings: Sample Data | |
The Basketball data set gives the preseason ratings of collegiate basketball teams for the 1985-86 season as given by ten media outlets. These are the variables in the data set: Name | Type | Description | | school | char | university team represents | | CSN | num | team rating by CSN | | Durham Sun | num | team rating by Durham Sun | | Durham Herald | num | team rating by Durham Herald | | Washington Post | num | team rating by Washington Post | | USA Today | num | team rating by USA Today | | Sports Magazine | num | team rating by Sports Magazine | | In Sport | num | team rating by In Sport | | UPI | num | team rating by UPI | | AP | num | team rating by AP | | Sports Illustrated | num | team rating by Sports Illustrated | |
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Source of Data
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Sall, J., Creighton, L., & Lehman, A. (2006). JMP Start Statistics, Third Edition. Cary, NC: SAS Institute Inc. |
Hoop Ratings: Solution |
The value of the Spearman correlation coefficient (given by the CORR procedure in SAS) is 0.95. This indicates that there is a very strong positive association between the ratings by the UPI and AP polls. So, we can say that high team ratings by the UPI poll are associated with high ratings by the AP poll, and low ratings are by the UPI are associated with low ratings by the AP. |
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