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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, United States.
Standard kinship estimators used in genetic studies can produce biased heritability estimates in structured populations. The Popkin estimator is the only method that provides unbiased heritability estimates in these settings.
Area of Science:
- Population Genetics
- Quantitative Genetics
- Statistical Genomics
Background:
- Heritability estimation is crucial for understanding genetic contributions to traits and diseases.
- Variance components models rely on kinship matrices for heritability estimation.
- Standard kinship estimators like GCTA's can be biased in structured populations.
Purpose of the Study:
- To characterize heritability estimation biases in GCTA arising from kinship estimation errors in structured populations.
- To evaluate the performance of different kinship estimators under population structure.
Main Methods:
- Derivation of a closed-form expression for heritability bias in the ratio-of-means (ROM) estimator.
- Simulation studies using admixture and family structures with 1000 Genomes genotypes.
- Analysis of real-world phenotype data from three structured cohorts.
Main Results:
- The standard mean-of-ratios (MOR) estimator exhibits biases due to shared factors with ROM and additional bias from low-frequency variants.
- The Popkin estimator demonstrated unbiased heritability estimates across simulated and real structured datasets.
- Pedigree-only estimates showed upward heritability biases in structured populations.
- The MOR estimator produced variable biases (downward or upward) depending on population structure and variant frequency.
Conclusions:
- Common kinship estimators introduce significant biases in heritability estimates for structured populations.
- The Popkin estimator is a reliable alternative for unbiased heritability estimation in the presence of population structure.
- Accurate kinship estimation is essential for valid heritability inference in diverse populations.
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