Designs to reduce the error

Content

Blocking
Analysis of covariance

Learning objectives

At the end of the session, students should be capable of

explain the benefits of blocked design and ANCOVA over completely randomized designs
using control covariates or blocking factors
testing equality of slopes

Readings

Chapter 6 of the course notes
Chapter 5 (Complete Block Designs) of Meier (2022) (5.1-5.2)

Complementary readings

Chapter 9 of Maxwell et al. (2017).
Chapter 4 of Cox (1958).

Videos

Slides

View all slides in new window Download PDF of all slides

Code

R script

Tip

Fun fact: If you type ? (or shift + /) while going through the slides, you can see a list of slide-specific commands.

References

Cox, D. R. (1958). Planning of experiments. Wiley.

Maxwell, S. E., Delaney, H. D., & Kelley, K. (2017). Designing experiments and analyzing data: A model comparison perspective (3rd ed.). routledge. https://doi.org/10.4324/9781315642956

Meier, L. (2022). ANOVA and mixed models: A short introduction using R (Chapman & Hall/CRC, Eds.). https://doi.org/10.1201/9781003146216