Abstract
In this chapter we examine three models used to analyze results obtained from three specific experimental designs. The designs are the completely randomized design, the randomized complete block design, and the Latin square design. We also examine a particularly effective method of defining treatments for situations in which several factors are of interest.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Casella, G. (2008). Statistical design. New York: Springer.
Christensen, R. (1996). Analysis of variance, design, and regression: Applied statistical methods. London: Chapman and Hall.
Christensen, R. (1997). Log-linear models and logistic regression (2nd ed.). New York: Springer.
Christensen, R. (2015). Analysis of variance, design, and regression: Linear modeling for unbalanced data (2nd ed.). Boca Raton: Chapman and Hall/CRC Press.
Cochran, W. G., & Cox, G. M. (1957). Experimental designs (2nd ed.). New York: Wiley.
Cox, D. R. (1958). Planning of experiments. New York: Wiley.
Cox, D. R., & Reid, N. (2000). The theory of the design of experiments. Boca Raton: Chapman and Hall/CRC.
Fisher, R. A. (1935). The design of experiments, (9th ed., 1971). New York: Hafner Press.
Hinkelmann, K., & Kempthorne, O. (2005). Design and analysis of experiments: Volume 2, advanced experimental design. Hoboken: Wiley.
Hinkelmann, K., & Kempthorne, O. (2008). Design and analysis of experiments: Volume 1, introduction to experimental design (2nd ed.). Hoboken: Wiley.
John, P. W. M. (1971). Statistical design and analysis of experiments. New York: Macmillan.
Kempthorne, O. (1952). Design and analysis of experiments. Huntington: Krieger.
McCullagh, P. (2000). Invariance and factorial models, with discussion. Journal of the Royal Statistical Society, Series B, 62, 209–238.
Oehlert, G. W. (2010). A first course in design and analysis of experiments. http://users.stat.umn.edu/~gary/book/fcdae.pdf.
Wu, C. F. J., & Hamada, M. S. (2009). Experiments: Planning, analysis, and optimization (2nd ed.). New York: Wiley.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Christensen, R. (2020). Experimental Design Models. In: Plane Answers to Complex Questions. Springer Texts in Statistics. Springer, Cham. https://doi.org/10.1007/978-3-030-32097-3_8
Download citation
DOI: https://doi.org/10.1007/978-3-030-32097-3_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-32096-6
Online ISBN: 978-3-030-32097-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)