One-way random-effects (mixed) model

Formula: GY_ij = beta + b_i + e_ij with b_i ~ N(0, sigma2_b) (eq. 1.5). Balanced ANOVA estimators: sigma2_e = MSE, sigma2_b = (MSB - MSE)/r.

Usage

Msm006(groups)

Arguments

groups

List of equal-length observation vectors, one per level.

Value

List with estimate, beta, sigma2_b, sd_residual, icc, method.

References

Montesinos Lopez, Montesinos Lopez & Crossa (2022), Multivariate Statistical Machine Learning Methods for Genomic Prediction, Springer, eq. (1.5) p.18. DOI 10.1007/978-3-030-89010-0.

Examples

D <- data.frame(x = c(1, 2, 3, 4), y = c(2, 4, 5, 9))
Msm006(D)
#> $estimate
#> [1] 3.75
#> 
#> $beta
#> [1] 3.75
#> 
#> $sigma2_b
#> [1] 1.833333
#> 
#> $sd_residual
#> [1] 2.27303
#> 
#> $icc
#> [1] 0.2619048
#> 
#> $method
#> [1] "one-way random effects (MVSML 2022 eq. 1.5)"
#>