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. 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): Туре Count Starchy green Starchy white Sugary green Sugary white 1997 906 904 32 According to genetic theory, the cell probabilities are .25(2 + 0), .25(1 - 0), 25(1 ), and .2560, where 0(0 < 0<1) is a parameter related to the linkage of the factors. 6. number of counts in the first cell is n(2 0)/4; if this expected number is equated to the count X1, the following estimate is obtained: consider two other estimates of 0. (1) The expected 4X1 п (2) The same procedure done for the last cell yields 4X4 n Compute these estimates. Using that X and X4 are binomial random variables show that these estimates are unbiased, and obtain expressions for their vari- ances. Evaluate the estimated standard errors and compare them to the estimated standard error of the mle

. 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): Туре Count Starchy green Starchy white Sugary green Sugary white 1997 906 904 32 According to genetic theory, the cell probabilities are .25(2 + 0), .25(1 - 0), 25(1 ), and .2560, where 0(0 < 0<1) is a parameter related to the linkage of the factors. 6. number of counts in the first cell is n(2 0)/4; if this expected number is equated to the count X1, the following estimate is obtained: consider two other estimates of 0. (1) The expected 4X1 п (2) The same procedure done for the last cell yields 4X4 n Compute these estimates. Using that X and X4 are binomial random variables show that these estimates are unbiased, and obtain expressions for their vari- ances. Evaluate the estimated standard errors and compare them to the estimated standard error of the mle

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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. 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): Туре Count Starchy green Starchy white Sugary green Sugary white 1997 906 904 32 According to genetic theory, the cell probabilities are .25(2 + 0), .25(1 - 0), 25(1 ), and .2560, where 0(0 < 0<1) is a parameter related to the linkage of the factors. 6. number of counts in the first cell is n(2 0)/4; if this expected number is equated to the count X1, the following estimate is obtained: consider two other estimates of 0. (1) The expected 4X1 п (2) The same procedure done for the last cell yields 4X4 n Compute these estimates. Using that X and X4 are binomial random variables show that these estimates are unbiased, and obtain expressions for their vari- ances. Evaluate the estimated standard errors and compare them to the estimated standard error of the mle
Transcribed Image Text:. 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): Туре Count Starchy green Starchy white Sugary green Sugary white 1997 906 904 32 According to genetic theory, the cell probabilities are .25(2 + 0), .25(1 - 0), 25(1 ), and .2560, where 0(0 < 0<1) is a parameter related to the linkage of the factors. 6. number of counts in the first cell is n(2 0)/4; if this expected number is equated to the count X1, the following estimate is obtained: consider two other estimates of 0. (1) The expected 4X1 п (2) The same procedure done for the last cell yields 4X4 n Compute these estimates. Using that X and X4 are binomial random variables show that these estimates are unbiased, and obtain expressions for their vari- ances. Evaluate the estimated standard errors and compare them to the estimated standard error of the mle
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