**ERIC Number:**ED362559

**Record Type:**RIE

**Publication Date:**1993-Apr

**Pages:**18

**Abstractor:**N/A

**Reference Count:**N/A

**ISBN:**N/A

**ISSN:**N/A

Induced Probabilities.

Neel, John H.

Induced probabilities have been largely ignored by educational researchers. Simply stated, if a new or random variable is defined in terms of a first random variable, then induced probability is the probability or density of the new random variable that can be found by summation or integration over the appropriate domains of the original random variable. The technique is often simple and can lead to useful results. Among these are a mode of teaching and learning, the development of new techniques, and the study of existing methods. The technique is sometimes applicable where Monte Carlo techniques would otherwise be used. Induced probabilities offer the advantage of exact rather than approximate effort and require less computer time. The approach is described and four examples of its use are presented to: (1) solve a simple probability problem; (2) define a new technique; and (3) find the sample size for a variance used in a power study. Four tables and one figure illustrate these analyses. (Contains 4 references.) (SLD)

**Publication Type:**Reports - Evaluative; Speeches/Meeting Papers

**Education Level:**N/A

**Audience:**N/A

**Language:**English

**Sponsor:**N/A

**Authoring Institution:**N/A

**Identifiers:**Induced Probabilities; Variance (Statistical)

**Note:**Paper presented at the Annual Meeting of the American Educational Research Association (Atlanta, GA, April 12-16, 1993).