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Example• Research question: Is there a significant relationship
between TVDI and soil moisture in the Glyndon data set?
A Significance Test for r: Sample Size
• For example, suppose we have three samples of variables X and Y of sizes n = 10, n = 100, and n = 1000, all with r = 0.5
= 0.05
Orange County, North CarolinaEconomic Development Commission
Housing
http://www.co.orange.nc.us/ecodev/stats/homestat.htm
Correlation Coefficients
• Pearson’s Product Moment Correlation
Coefficient
interval or ratio data only
• What about ordinal data?
Pearson’s r - Assumptions
1. Interval or ratio scale data
2. Selected randomly
3. Linear
4. Joint bivariate normal distribution
S-Plus (qqnorm)