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Var(beta) = sigma^2 (X'X)^-1 (ESL eq 3.8), depending on the design only.

Usage

morie_esl_var_beta_hat(X, sigma2)

Arguments

X

Design matrix of full column rank.

sigma2

Noise variance.

Value

Named list: estimate, covariance (p x p), variances, se, n, p.

References

Hastie, Tibshirani & Friedman (2009), sec. 3.2.

Examples

morie_esl_var_beta_hat(cbind(1, c(1, -1, 1, -1)), 1)$variances
#> [1] 0.25 0.25