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Fast and robust ancestry prediction using principal component analysis.

Daiwei Zhang1, Rounak Dey2, Seunggeun Lee1

  • 1Department of Biostatistics, University of Michigan, Ann Arbor, MI 48109, USA.

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New methods, bias-adjusted projection (AP) and online ADP (OADP), efficiently correct population stratification in genome-wide association studies (GWAS). These approaches offer unbiased ancestry prediction and significantly faster computation than existing methods.

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Area of Science:

  • Genetics
  • Bioinformatics
  • Statistical genomics

Background:

  • Population stratification (PS) is a major confounder in genome-wide association studies (GWAS), potentially leading to false-positive associations.
  • Principal component analysis (PCA)-based ancestry prediction is commonly used to adjust for PS.
  • Existing methods like Simple Projection (SP) can be biased, while Data Augmentation, Decomposition and Procrustes (ADP) transformations are computationally expensive.

Purpose of the Study:

  • To develop and propose computationally efficient and unbiased methods for predicting principal component (PC) scores for population stratification adjustment in GWAS.
  • To address the limitations of existing methods, namely bias in SP and high computational cost in ADP.

Main Methods:

  • Developed bias-adjusted projection (AP) using random matrix theory to estimate and correct SP bias.
  • Developed online ADP (OADP) using an efficient online singular value decomposition algorithm to reduce ADP's computational cost.
  • Implemented and compared AP and OADP against SP and ADP using extensive simulations and real-world data (UK Biobank).

Main Results:

  • AP and OADP were shown to be unbiased in extensive simulation studies.
  • OADP and AP demonstrated significant computational speed improvements, being 16-16,000 times faster than ADP.
  • Application to UK Biobank data showed AP and OADP required substantially less CPU time (0.82 and 21 hours) compared to the projected ADP time (1628 hours).
  • SP exhibited bias in inferring sub-European ancestry, unlike the proposed AP and OADP methods.

Conclusions:

  • AP and OADP provide accurate and computationally efficient solutions for population stratification adjustment in large-scale genetic studies.
  • These methods overcome the limitations of existing techniques, offering improved performance and reduced computational burden.
  • The developed methods are available in the open-source Python software FRAPOSA.