3.8 Further reading

Linear mixed models as discussed in this chapter have been around since 1861 (West, Welch, and Galecki 2015); thus, they were in use even before the t-test. Good introductions addressed to statisticians are Pinheiro and Bates (2000) and Wood (2006). There seem to be no good textbooks intended for non-statisticians, but interesting practical examples are in Faraway (2016). West, Welch, and Galecki (2015) strikes an excellent middle ground between practical examples and theoretical rigor, and will be accessible to non-statisticians who are comfortable with high-school level mathematics, and a passive familiarity of basic matrix algebra relevant for statistics (Fieller 2016).

References

Faraway, Julian J. 2016. Extending the Linear Model with r: Generalized Linear, Mixed Effects and Nonparametric Regression Models. CRC press.

Fieller, Nick. 2016. Basics of Matrix Algebra for Statistics with R. Boca Raton, FL: CRC Press.

Pinheiro, José C., and Douglas M. Bates. 2000. Mixed-Effects Models in S and S-PLUS. New York: Springer-Verlag.

West, Brady T, Kathleen B Welch, and Andrzej T Galecki. 2015. Linear Mixed Models: A Practical Guide Using Statistical Software. Second edition. Chapman; Hall/CRC.

Wood, Simon N. 2006. Generalized Additive Models: An introduction with R. CRC Press.