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ERIC Number: ED223429
Record Type: RIE
Publication Date: 1982-Nov
Pages: 45
Abstractor: N/A
Reference Count: 0
ISBN: N/A
ISSN: N/A
A Derivation of the Sample Multiple Correlation Formula for Standard Scores.
O'Brien, Francis J., Jr.
This is the third in a series of documents designed to supplement the statistics training of social science students studying applied statistics. The intent is to present selected proofs and derivations of important relationships or formulas that students typically do not find available and/or comprehensible in journals, textbooks, and similar sources. It is felt the unique feature of this material is the detailed step-by-step approach to all selected proofs and derivations. Calculus is neither assumed or used. Topics addressed include: (1) Introduction to Proof; (2) Derivation for Two Predictors; (3) Regression Model for Two Standardized Predictors; (4) Multiple Correlation for Two Standardized Predictors; (5) Derivation; (6) Normal Equations and Multiple Correlation Formula for Two Standardized Predictors; (7) Derivation for Three Predictors; (8) Normal Equations and Multiple Correlation Formula for Three Standardized Predictors; (9) Derivation for p Predictors; (10) Multiple Correlation for p Standardized Predictors and Derivation; and (11) Normal Equations and Multiple Correlation Formula for p Standardized Predictors. A single appendix provides details on Finding Normal Equations. (Author/MP)
Publication Type: Guides - Classroom - Learner
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers: N/A