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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/unesp/360675
Title: 
The Arcsine Transformation of a Binomial Random Variable
Author(s): 
Boucher, Chris
Language: 
eng
Description: 
  • The arcsine transformation converts a binomial random variable into one that is nearly normal and whose variance depends very little on the parameter p. If X is a binomial random variable with parameters n and p (so X models the number of heads in n tosses of a coin that is weighted to have probability p of landing heads), then Y=sin^(-1)(sqrt(X/n)) is the arcsine transformation of X. The distribution of Y is nearly normal with mean sin^(-1)(sqrt(p)) and variance 1/(4*n). The histogram in the image is the distribution of Y with the rectangle heights scaled so that the sum of their areas is one, and the black curve is the approximating normal density function
  • Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática
Issue Date: 
  • 11-Sep-2008
  • 11-Sep-2008
  • 2008
  • 11-Sep-2008
  • 9-Sep-2008
Publisher: 
Wolfram
Keywords: 
  • Approximation Methods
  • Educação Superior::Ciências Exatas e da Terra::Matemática::Matemática Aplicada
Credits: 
This demonstration needs the "MathematicaPlayer.exe" to run. Found in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
Source: 
http://objetoseducacionais2.mec.gov.br/handle/mec/5252
URI: 
http://acervodigital.unesp.br/handle/unesp/360675
Rights: 
Demonstration freeware using Mathematica Player
Type: 
outro
Appears in Collections:MEC - Objetos Educacionais (BIOE) - OE

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