When studying correlations, how do the three bivariate correlation coefficients between three variables relate? After transforming Pearson’s correlation coefficient r into a Euclidean distance, undergraduate students can tackle this problem using their secondary school knowledge of geometry (Pythagoras’ theorem and similarity of triangles). Through a geometric interpretation, we start from two correlation coefficients rAB and rBC and then estimate a range for the third correlation rAC. In the case of three records (n = 3), the third correlation rAC can only attain two possible values. Crossing borders between mathematical disciplines, such as statistics and geometry, can assist students in deepening their conceptual knowledge.
- RT @shankerinst: We are devastated to report the death of David K. Cohen, a founding member of the Albert Shanker Institute’s board of dire… 3 months ago
- Check this out! twitter.com/SLSingh/status… 4 months ago
- I really appreciated the keynote by @deborah_ball #TWSummerInstitute To quote some of her closing words: "It's coll… twitter.com/i/web/status/1… 6 months ago
- RT @TeachingWorks: Today is the day! If you signed up to join us, the link to view our #TWSummerInstitute keynote address today is waiting… 6 months ago
- Looking forward to the lecture by @deborah_ball at #TWSummerInstitute 6 months ago