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Linkage and genetic association studies (GWAS)

  • Study design

They look for the region or variant of the genome that travels with a disease: in families (linkage) or comparing cases and controls (association).

Updated

What it is

Linkage studies follow, in families with several affected members, which genetic markers are inherited together with the disease; they work best for genes of large effect. Association studies compare the frequency of variants between unrelated cases and controls: first with candidate genes chosen by hypothesis, and today with genome-wide association studies (GWAS), which test hundreds of thousands to millions of single nucleotide polymorphisms (SNPs). Because so many tests are run, they need a very strict significance threshold and replication.

How it is built

  • Cases and controls are genotyped on a SNP chip; genotyping quality is checked.
  • Stratification (ancestry) is corrected with principal components or controls from the same population.
  • Each SNP is tested separately; results are shown in a Manhattan plot.
  • Findings are confirmed in an independent replication sample.

Worked example

  1. GWAS with 2,000 cases and 2,000 controls (4,000 alleles per group). 1,000,000 SNPs are tested.
  2. SNP X: risk allele in 1,200 case alleles (30%) and 1,000 control alleles (25%).
  3. Allelic OR = (1,200 × 3,000) / (2,800 × 1,000) = 1.29.
  4. Chi-square ≈ 25.1, with p ≈ 5.5 × 10⁻⁷: significant for a single test.
  5. Genome-wide threshold: 0.05 / 1,000,000 = 5 × 10⁻⁸. The p of X is about 11 times larger.
  6. Reading: X is promising but does not reach genome-wide significance; it needs replication in another sample.

Linkage, candidate gene and GWAS

ApproachWhoWhat it detects bestMain limitation
LinkageFamilies with several affected membersRare genes of large effectBroad regions; little power in complex diseases
Candidate geneCases and controlsVariants in genes chosen by hypothesisMany findings did not replicate
GWASThousands of cases and controlsCommon variants of small effectMultiple comparisons; marker variant, not the causal one

Markers

  • GWAS
  • SNP
  • LOD
  • 5 × 10⁻⁸

When to use it

  • They have found regions associated with type 2 diabetes, macular degeneration, autoimmune diseases and many cancers.
  • Combining many variants gives polygenic risk scores, whose clinical usefulness is still limited.

Common pitfalls

  • Using p < 0.05 in a GWAS: with a million tests about 50,000 false positives would appear.
  • Comparing cases and controls of different ancestries (population stratification).
  • Presenting the associated SNP as the cause of the disease.
  • Small samples: the first ORs reported tend to be overestimated (the ‘winner's curse’).

Test yourself

Think of the answer, then tap the question to see it.

Why is the GWAS threshold 5 × 10⁻⁸?

It is the Bonferroni adjustment of 0.05 for about one million independent tests: 0.05 / 1,000,000.

What is population stratification?

Differences in ancestry between cases and controls that create false associations between a SNP and the disease.

Risk allele in 30% of case alleles and 25% of control alleles. Allelic OR?

(0.30/0.70) / (0.25/0.75) = 0.429 / 0.333 ≈ 1.29.

How does linkage differ from association?

Linkage studies joint inheritance of marker and disease within families; association compares frequencies in unrelated cases and controls.

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Educational content on epidemiological and statistical methods; the examples use made-up numbers to teach the calculation. Not a clinical or legal guide: current Colombian rules are in the official sources.

Sources: Genome-Wide Association Studies Fact Sheet (National Human Genome Research Institute, 2020); Genetic Epidemiology (Centers for Disease Control and Prevention, 1997); Bonferroni's method (NIST/SEMATECH e-Handbook of Statistical Methods, National Institute of Standards and Technology, 2012).

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