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Kinship estimation bias carries over to heritability estimation bias using variance components
Zhuoran Hou1,2, Alejandro Ochoa1,2
1Department of Biostatistics and Bioinformatics, Duke University, Durham, NC 27705, USA.
Commonly used kinship estimators for heritability studies can be biased in structured populations. The Popkin estimator is the only unbiased method, ensuring accurate genetic heritability estimates.
Area of Science:
- Population Genetics
- Quantitative Genetics
- Biostatistics
Background:
- Heritability quantifies genetic contributions to traits, crucial for disease research.
- Variance components models require kinship matrices (Genetic Relatedness Matrices/GRMs) for heritability estimation.
- Standard kinship estimators are known to be biased in structured populations.
Purpose of the Study:
- To characterize heritability estimation biases caused by kinship estimation in structured populations.
- To evaluate the performance of different kinship estimators under population structure.
- To identify an unbiased method for heritability estimation in diverse cohorts.
Main Methods:
- Derived a closed-form expression for heritability bias in the ratio-of-means (ROM) estimator.
- Utilized simulation studies with admixture and family structures using 1000 Genomes genotypes.
- Analyzed three real-world structured datasets with phenotypes: San Antonio Family Study, HCHS/SOL, and a nephrotic syndrome cohort.
Main Results:
- The standard mean-of-ratios (MOR) estimator shows significant bias, more so than ROM, due to low-frequency variants.
- Popkin, an unbiased population kinship estimator, produced accurate heritability estimates in structured settings.
- Pedigree-only estimates exhibited upward heritability bias in structured populations.
- The MOR estimator demonstrated variable biases (downward/upward) based on population structure and variant frequency.
Conclusions:
- Standard kinship estimators (ROM, MOR) lead to biased heritability estimates in structured populations.
- The Popkin estimator overcomes biases associated with population structure.
- Accurate heritability estimation in diverse populations necessitates the use of unbiased kinship estimators like Popkin.
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