. 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

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
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 7 steps with 7 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman