NotesFAQContact Us
Collection
Advanced
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ858120
Record Type: Journal
Publication Date: 2009
Pages: 9
Abstractor: As Provided
Reference Count: 11
ISBN: N/A
ISSN: ISSN-0020-739X
Pearson's Correlation between Three Variables; Using Students' Basic Knowledge of Geometry for an Exercise in Mathematical Statistics
Vos, Pauline
International Journal of Mathematical Education in Science and Technology, v40 n4 p533-541 2009
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 r[subscript AB] and r[subscript BC] and then estimate a range for the third correlation r[subscript AC]. In the case of three records (n = 3), the third correlation r[subscript AC] can only attain two possible values. Crossing borders between mathematical disciplines, such as statistics and geometry, can assist students in deepening their conceptual knowledge. (Contains 2 tables and 6 figures.)
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A