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Part I
- There are two different techniques used to obtain a pooled
estimate of the recombination fraction (p). A weighted estimate
of p using the information content is the first method and
Fisher's scoring method is the second technique. The advantage
to Fisher's scoring method is that a test for homogeneity
of the sources of data can be evaluated.
- Whe we have separate estimates of the recombination fraction
(p) using different types of families, we can combine the
separate estimates into an overall estimate using a weighted
p value. The weights for each estimate of p are the information
content of
each family where the combined p = SpI
each family where the combined p =
SI
We can then determine the weighted standard error of the
combined p estimate using Vp = SIi,
se(p) = the square root of Vp, which equals the
square root of SIi
- Fisher's scoring method is used to obtain a test of significance
of the deviations from independent assortment for each type
of family evaluated and for the pooled estimate of p. This
method also provides a test of the homogeneity of the various
sources of data to be combined and a pooled estimate of
p.
- The score using Fisher's scoring method is obtained from
the unreduced maximum likelihood equations using the last
estimate of p in the formula to determine the score. A Chi-square
test can be conducted to evaluate the fit of the p estimate
to the observed data.
- For testcross data, use direct calculation of precent
recombination in the population which is nr/n
= p. This formula to estimate p from testcross data is actually
the maximum likelihood estimate of p.
- For F2 coupling or repulsion data alone, use
the product method to estimate p.
- For F3 data from doubly dominant F2
phenotypes, the maximum likelihood method must be used to
estimate p.
- For combined data from F2 repulsion and coupling
data with the F3 progeny test, use Fisher's scoring
method to estimate p.
- The maximum likelihood method uses calculus to find the
value of p that maximizes the probability that the observed
data fits the model.
Copyright
2000©, Ted Helms |
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