Forabinomialsample proportion , showthattheapproximatevarianceof sin1( ) (with the anglebeingmeasured in radians)is1/4n, sothisisavariancestabilizingtransformation. (In reality,simulationrevealsthatthevarianceofthis arcsinetransformation is

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Forabinomialsample proportion ˆπ, showthattheapproximatevarianceof sin−1(

ˆπ) (with the anglebeingmeasured in radians)is1/4n, sothisisavariancestabilizingtransformation.

(In reality,simulationrevealsthatthevarianceofthis arcsinetransformation is notnearly constantwhen π is near0ornear1and n is notverylarge.)

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Foundations Of Statistics For Data Scientists With R And Python

ISBN: 9780367748456

1st Edition

Authors: Alan Agresti

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Forabinomialsample proportion , showthattheapproximatevarianceof sin1( ) (with the anglebeingmeasured in radians)is1/4n, sothisisavariancestabilizingtransformation. (In reality,simulationrevealsthatthevarianceofthis arcsinetransformation is

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Foundations Of Statistics For Data Scientists With R And Python

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