ERIC Number: ED349947
Record Type: RIE
Publication Date: 1992-Apr-23
Reference Count: N/A
Using Computers To Teach the Concepts of the Central Limit Theorem.
Mittag, Kathleen Cage
A pivotal theorem which is of critical importance to statistical inference in probability and statistics is the Central Limit Theorem (CLT). The theorem concerns the sampling distribution of random samples taken from a population, including population distributions that do not have to be normal distributions. This paper contains a brief history of the CLT; several forms of the CLT--Kreyszig, Groeneveld, Rahman, Harnett, Dubewicz, and Marzillier; and a proof of the CLT. Examples, both using a small population with hand calculations and using large populations with computer programs, are included to illustrate concepts of the CLT. A HyperCard stack and the program "Resampling Stats" are also demonstrated in the paper. The appendixes contain a proof of Form 5 CLT, a computer worksheet on CLT, three examples of the CLT HyperCard, and a computer program. (Contains 14 references.) (Author/ALF)
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: N/A
Authoring Institution: N/A
Identifiers: Central Limit Theorem; HyperCard
Note: Paper presented at the Annual Conference of the American Educational Research Association (San Francisco, CA, April 20-24, 1992).