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ERIC Number: ED019118
Record Type: RIE
Publication Date: 1967-Aug-31
Pages: 82
Abstractor: N/A
Reference Count: 0
ISBN: N/A
ISSN: N/A
FINAL REPORT ON HEAD START EVALUATION AND RESEARCH--1966-67 TO THE INSTITUTE FOR EDUCATIONAL DEVELOPMENT. SECTION II, ON THE INTERPRETATION OF MULTIVARIATE SYSTEMS.
LAND, KENNETH C.
THIS REPORT PRESENTS A DISCUSSION OF 2 TECHNIQUES WHICH CAN BE USED TO REPRESENT AND INTERPRET MULTIVARIATE STATISTICAL SYSTEMS WHEN IT IS FELT THAT THERE ARE CAUSAL RELATIONS BETWEEN SOME OF THE VARIABLES. THE BASIC TECHNIQUE IS PATH ANALYSIS AND THE OTHER IS ITS EXTENSION THROUGH THE USE OF RECURSIVE SYSTEMS OF EQUATIONS. THE ANALYSIS IS RESTRICTED IN APPLICATION TO RELATIONSHIPS BETWEEN INTERVAL-MEASURABLE VARIABLES THAT ARE LINEAR, ADDITIVE, AND ASYMMETRIC. TO MAKE A PATH ANALYSIS, THE VARIABLES IN THE SYSTEM ARE CLASSIFIED AS EITHER EXOGENOUS, THAT IS, HAVING THEIR VALUES DETERMINED BY FACTORS OUTSIDE THE SYSTEM, OR ENDOGENOUS, THAT IS, HAVING THEIR VALUES DETERMINED BY FACTORS REPRESENTED BY VARIABLES WITHIN THE SYSTEM. BASED ON THIS ANALYSIS, A SET OF REGRESSION EQUATIONS REPRESENTING THESE RELATIONS IS FORMED. THIS SET IS TERMED THE PATH MODEL, AND GRAPHIC CONVENTIONS ARE GIVEN FOR DIAGRAMING IT. THE COEFFICIENTS IN THE EQUATIONS ARE SIMILAR TO THE CORRELATION COEFFICIENTS OCCURRING IN ORDINARY LEAST-SQUARES REGRESSION EQUATIONS. THE ADVANTAGE OF THE PATH ANALYSIS APPROACH IS THAT IT ENABLES THE EXPERIMENTER TO UTILIZE ALL THE INFORMATION AT HIS DISPOSAL, PARTICULARLY THAT CONCERNING CAUSAL RELATIONS BETWEEN VARIABLES. THE TECHNIQUE IS ILLUSTRATED WITH APPLICATIONS TO BIVARIATE AND MULTIVARIATE SYSTEMS HAVING SINGLE AND MULTIPLE STAGES OF CAUSAL INFLUENCE. SOME EXAMPLES DRAWN FROM ACTUAL RESEARCH PROJECTS ARE INCLUDED. (DR)
Publication Type: N/A
Education Level: N/A
Audience: N/A
Language: N/A
Sponsor: N/A
Authoring Institution: Texas Univ., Austin. Child Development Evaluation and Research Center.
Identifiers: N/A