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io.projectglow.sql.expressions

LinearRegressionGwas

object LinearRegressionGwas extends GlowLogging

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  11. final def isInstanceOf[T0]: Boolean
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  12. def linearRegressionGwas(genotypes: DenseVector[Double], phenotypes: DenseVector[Double], covariateQR: CovariateQRContext): InternalRow
  13. lazy val logger: Logger
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  17. def runRegression(genotypes: DenseVector[Double], phenotypes: DenseVector[Double], covariateQRContext: CovariateQRContext): RegressionStats

    Fits a linear regression model to a single variant.

    Fits a linear regression model to a single variant.

    The algorithm here is based off the linear regression algorithm used in Hail, as described in https://arxiv.org/pdf/1901.09531.pdf.

    At a high level, we compute the QR decomposition once per covariate matrix, and use Q to project the genotypes into the orthogonal complement of the column space of the covariate matrix. Then we use a simple algorithm for linear regression with one independent variable to solve for relevant output (https://en.wikipedia.org/wiki/Simple_linear_regression#Numerical_example).

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