| Demonstration
of the importance of sample size in confidence in data |
page 27 |
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| 23
Jan 1995, revised 2 Jan 1996, 5 Jan '98, 2 Jan 03 |
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| Cross: |
AABB x aabb produces F-1.Then,
AaBb x aabb test cross to produce progeny: |
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| Null
hypothesis: |
There is no linkage between
A and B, thus 1:1:1:1 ratio. |
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| I. |
Cross is performed
with sample size of 300 progeny. |
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phenotype |
observed |
expected |
dev'tn |
sqr of dev |
sqr dev/exp |
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AB |
78 |
75 |
3 |
9 |
0.12 |
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Ab |
74 |
75 |
-1 |
1 |
0.0133333 |
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aB |
63 |
75 |
-12 |
144 |
1.92 |
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ab |
85 |
75 |
10 |
100 |
1.3333333 |
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Total: |
300 |
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X sqrd: |
3.3866667 |
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d.f. = 3 |
P = 0.1 - 0.5 |
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Thus, expect deviations as great
as these 10% of the time. |
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Therefore, we conclude that
the markers have not shown linkage. |
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| II. |
Cross is performed
with sample size of 3000 progeny. |
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phenotype |
observed |
expected |
dev'tn |
sqr of dev |
sqr dev/exp |
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AB |
780 |
750 |
30 |
900 |
1.2 |
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Ab |
740 |
750 |
-10 |
100 |
0.1333333 |
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aB |
630 |
750 |
-120 |
14400 |
19.2 |
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ab |
850 |
750 |
100 |
10000 |
13.333333 |
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Total: |
3000 |
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X sqrd: |
33.866667 |
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d.f. = 3 |
P.= > 0.005 |
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Thus, these deviations are expected
randomly less than 0.5% of the time. |
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Therefore, we conclude that
data would deviate this much from the expected ratios |
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only 0.5 % of the time by random
variation if they are not unlinked, and the |
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null hypothesis is rejected. |
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| III. |
Linkage: |
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recombinant types: |
Ab |
740 |
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aB |
630 |
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Total recombinants: |
1370 |
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Total progeny: |
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3000 |
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Recombinant/total progeny: |
0.4566667 |
= |
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45.7 map units between A and B. |
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