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55. For two factors-starchy or sugary, and green base leaf or white base leaf-the following counts for the progeny of self-fertilized heterozygotes were observed (Fisher 1958): Type Count Starchy green 1997 Starchy white906 Sugary green Sugary white 904 32 According to genetic theory, the cell probabilities are .25(2 +0), .25(1 - ) .25(1-0), and .250, where θ(0 < θ < 1) is a parameter related to the linkage of the factors. a. Find the mle of θ and its asymptotic variance. Form an approximate 95% confidence interval for θ based on part (a).

55. For two factors-starchy or sugary, and green base leaf or white base leaf-the following counts for the progeny of self-fertilized heterozygotes were observed (Fisher 1958): Type Count Starchy green 1997 Starchy white906 Sugary green Sugary white 904 32 According to genetic theory, the cell probabilities are .25(2 +0), .25(1 - ) .25(1-0), and .250, where θ(0 < θ < 1) is a parameter related to the linkage of the factors. a. Find the mle of θ and its asymptotic variance. Form an approximate 95% confidence interval for θ based on part (a).

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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55. For two factors-starchy or sugary, and green base leaf or white base leaf-the following counts for the progeny of self-fertilized heterozygotes were observed (Fisher 1958): Type Count Starchy green 1997 Starchy white906 Sugary green Sugary white 904 32 According to genetic theory, the cell probabilities are .25(2 +0), .25(1 - ) .25(1-0), and .250, where θ(0 < θ < 1) is a parameter related to the linkage of the factors. a. Find the mle of θ and its asymptotic variance. Form an approximate 95% confidence interval for θ based on part (a).
Transcribed Image Text:55. For two factors-starchy or sugary, and green base leaf or white base leaf-the following counts for the progeny of self-fertilized heterozygotes were observed (Fisher 1958): Type Count Starchy green 1997 Starchy white906 Sugary green Sugary white 904 32 According to genetic theory, the cell probabilities are .25(2 +0), .25(1 - ) .25(1-0), and .250, where θ(0 < θ < 1) is a parameter related to the linkage of the factors. a. Find the mle of θ and its asymptotic variance. Form an approximate 95% confidence interval for θ based on part (a).
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