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Table 7 There are a total of 27 cases for generating 3 sub-sequences by 3 haplotypes

From: HaploJuice : accurate haplotype assembly from a pool of sequences with known relative concentrations

 

Haplotypes which generate the sub-sequences

Expected frequencies

Case

subseq1

subseq2

subseq3

subseq1

subseq2

subseq3

1

h 1

h 2

h 3

f 1

f 2

f 3

2

h 1

h 3

h 2

f 1

f 3

f 2

3

h 2

h 1

h 3

f 2

f 1

f 3

4

h 2

h 3

h 1

f 2

f 3

f 1

5

h 3

h 1

h 2

f 3

f 1

f 2

6

h 3

h 2

h 1

f 3

f 2

f 1

7

h1 & h2

h 3

Erroneous

f1+f2

f 3

f e

8

h 3

h1 & h2

Erroneous

f 3

f1+f2

f e

26

Erroneous

h1 & h2 & h3

Erroneous

f e

f1+f2+f3

\(f_{e^{\prime }}\)

27

Erroneous

Erroneous

h1 & h2 & h3

f e

\(f_{e^{\prime }}\)

f1+f2+f3

  1. hi represents that the sub-sequence is generated from haplotype i, and ’erroneous’ represents the erroneous sub-sequences. fi is the estimated proportion of sample i, and \(f_{e},f_{e^{\prime }}\) are the proportions of erroneous sub-sequences