In: Biology
In addition to C.
elegans and Drosophila, Zebrafish are also another
model organism - and have a spine. We're interested in two
phenotypes, a curved spine and a gene that causes skin tumors to
form on the fish's skin. We'd like to know if we could use the
curved spine as an indicator if a fish may develop tumors (if the
genes are linked). We'll assume that each of these traits is
controlled by a single gene where:
a curved spine is the result of a dominant allele S (and a normal
spine is the result of recessive alleles s),
and tumor growth is the result of a recessive allele t (and no
tumor growths are a dominant T allele).
A testcross is performed with a fish that is heterozygous for both genes and the resulting progeny are given below.
TtSs x ttss
curved spine &
tumors 18
curved spine & no tumors 23
normal spine & tumors 26
normal spine & no tumors 15
1. Assume for a moment that these genes are linked. If so, what allele combinations are parental in the TtSs genotype listed in the cross?
Are these two genes following Mendelian inheritance patterns? Use Chi-Squared analysis to test them. (X2 = the sum of (o-e)2/e)
2. X2 value : 3. Degrees of Freedom : 4. p-value : 5. Determination : NO they appear to be unlinked, or YES they may be linked Are these two genes linked? Use Chi-Squared analysis to test them. (X2 = the sum of (o-e)2/e)
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Hint: Always non-recombinant genotypes are large numbered than the recombinant genotypes.
Hence, the parental (non-recombinant) combinations would be ST/st
If the genes are assorted independently, all the progeny of testcross would be in equal number according to Mendel’s law of independent assortment.
Phenotypes |
Observed(O) |
Expected (E) |
O-E |
(O-E)2 |
(O-E)2/E |
curved spine & tumor |
18 |
20.50 |
-2.50 |
6.25 |
0.305 |
curved spine & no tumor |
23 |
20.50 |
2.50 |
6.25 |
0.305 |
normal spine & tumor |
26 |
20.50 |
5.50 |
30.25 |
1.476 |
normal spine & no tumors |
15 |
20.50 |
-5.50 |
30.25 |
1.476 |
Total |
82 |
82 |
3.561 |
Chi-square value = 3.561
Degreees of freedom = no. of outcomes – 1
DF = 4-1=3
p-Values = 7.814
The chi-square value of 3.561 is less than the p-value of 7.814. Hence, the null hypothesis is accepted and the two genes are not appeared to be linked. It means they are unlinked.