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ERIC Number: ED016289
Record Type: RIE
Publication Date: 1966-Nov-18
Pages: 36
Abstractor: N/A
Reference Count: 0
ISBN: N/A
ISSN: N/A
ON DEPARTURES FROM INDEPENDENCE IN CROSS-CLASSIFICATIONS.
CASE, C. MARSTON
THIS NOTE IS CONCERNED WITH IDEAS AND PROBLEMS INVOLVED IN CROSS-CLASSIFICATION OF OBSERVATIONS ON A GIVEN POPULATION, ESPECIALLY TWO-DIMENSIONAL CROSS-CLASSIFICATIONS. MAIN OBJECTIVES OF THE NOTE INCLUDE--(1) ESTABLISHMENT OF A CONCEPTUAL FRAMEWORK FOR CHARACTERIZATION AND COMPARISON OF CROSS-CLASSIFICATIONS, (2) DISCUSSION OF EXISTING METHODS FOR CHARACTERIZING CROSS-CLASSIFICATIONS, (3) PROPOSAL OF A NEW APPROACH TO AND A NEW METHOD FOR CHARACTERIZING AND MAKING INFERENCES FROM CROSS-CLASSIFICATIONS, AND (4) INDICATION OF HOW MARKOV PROCESSES CAN BE TREATED AS CROSS-CLASSIFICATIONS. THREE KINDS OF PROBABILITIES (UNCONDITIONAL, CONDITIONAL, AND JOINT) ARE DISCUSSED IN TERMS OF STATISTICAL INDEPENDENCE. MEASURES OF ASSOCIATION, ESPECIALLY THE Z-MEASURE OF ASSOCIATION AND ITS RELATION TO THE PHI COEFFICIENT IN VARIOUS SITUATIONS, ARE DISCUSSED AS MEANS OF INVESTIGATING NON-INDEPENDENCE. AN EXAMPLE OF THE Z-MEASURE APPLICATION IS PRESENTED. THE PROCESS OF DERIVING JOINT PROBABILITIES FROM Z-MEASURES AND THE INTERPRETATION OF MARKOV PROCESSES AS CROSS-CLASSIFICATIONS ARE ILLUSTRATED. (HW)
Publication Type: N/A
Education Level: N/A
Audience: N/A
Language: N/A
Sponsor: N/A
Authoring Institution: National Center for Educational Statistics (DHEW/OE), Washington, DC.
Identifiers: DISTRICT OF COLUMBIA