Strand bias estimated by the symmetric odds ratio test (SOR)

### Category Variant Annotations

## Overview

Strand bias estimated by the Symmetric Odds Ratio testStrand bias is a type of sequencing bias in which one DNA strand is favored over the other, which can result in incorrect evaluation of the amount of evidence observed for one allele vs. the other. The StrandOddsRatio annotation is one of several methods that aims to evaluate whether there is strand bias in the data. It is an updated form of the Fisher Strand Test that is better at taking into account large amounts of data in high coverage situations. It is used to determine if there is strand bias between forward and reverse strands for the reference or alternate allele(s).

### Statistical notes

The following 2x2 contingency table gives the notation for allele support and strand orientation.

+ strand | - strand | |
---|---|---|

REF | X[0][0] | X[0][1] |

ALT | X[1][0] | X[1][1] |

We can then represent the Odds Ratios with the equation:

and its inverse:

The sum R + 1/R is used to detect a difference in strand bias for REF and for ALT. The sum makes it symmetric. A high value is indicative of large difference where one entry is very small compared to the others. A scale factor of refRatio/altRatio where

and

ensures that the annotation value is large only. The final SOR annotation is given in natural log space.

See the method document on statistical tests for a more detailed explanation of this statistical test.

### Example calculation

Here is a variant record where SOR is 0.592.

AC=78;AF=2.92135e-02;AN=2670;DP=31492;FS=48.628;MQ=58.02;MQRankSum=-2.02400e+00;MQ_DP=3209;QD=3.03; \ ReadPosRankSum=-1.66500e-01;SB_TABLE=1450,345,160,212;SOR=0.592;VarDP=2167

Read support shows some strand bias for the reference allele but not the alternate allele. The SB_TABLE annotation (a non-GATK annotation) indicates 1450 reference alleles on the forward strand, 345 reference alleles on the reverse strand, 160 alternate alleles on the forward strand and 212 alternate alleles on the reverse strand. The tool uses these counts towards calculating SOR. To avoid multiplying or dividing by zero values, the tool adds one to each count.

refFw = 1450 + 1 = 1451 refRv = 345 + 1 = 346 altFw = 160 + 1 = 161 altRv = 212 + 1 = 213

Calculate SOR with the following.

where

and

Fill out the component equations with the example counts to calculate SOR.

symmetricalRatio = (1451*213)/(161*346) + (161*346)/(1451*213) = 5.7284 refRatio = 346/1451 = 0.2385 altRatio = 161/213 = 0.7559 SOR = ln(5.7284) + ln(0.2385) - ln(0.7559) = 1.7454427755 + (-1.433) - (-0.2798) = 0.592

### Related annotations

**AS_StrandOddsRatio**allele-specific strand bias estimated by the symmetric odds ratio test.**StrandBiasBySample**outputs counts of read depth per allele for each strand orientation.**FisherStrand**uses Fisher's Exact Test to evaluate strand bias.

GATK version 4.1.5.0-SNAPSHOT built at Wed, 4 Mar 2020 13:47:07 -0500.

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