Abstract
In this paper the use of ranks, standardized ranks and standardized aligned ranks in the analysis of Friedman’s block design is elucidated. Block designs with unequal numbers of observations per cell are considered with the restriction that the design is orthogonal.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Benard, A. and Van Elteren, Ph. A generalization of the method of m rankings. Koninklijke Akademie van Wetenschappen, Amsterdam Proceed. Series A 56 (1953) 358–369.
Conover, W. J. Practical nonparametric statistics. John Wiley & Sons, New York — London, 1971.
De Kroon, J. and Van Der Laan, P. A generalization of Friedman’s rank statistic. Statistica Neerlandica 37 (1983a) 1–14.
De Kroon, J. and Van Der Laan, P. A comparison of the powers of a generalized Friedman’s test and an aligned rank procedure based on simulation. To be submitted for publication in Statistica Neerlandica (1983b).
HÁjek, J. and ŠidÁk, Z. Theory of rank tests. Academic Press, New York (1967).
Odeh, R. E. Extended tables of the distribution of Friedman’s S-statistic in the two-way layout. Commun. Statist.-Simul. Comput. 36 (1977) 29–48.
Owen, D. B. Handbook of statistical tables. Addison-Wesley Publ. Comp., Inc., London, 1962.
Pearson, E. S. and Hartley, H. O. Biometrika tables for statisticians, Volume I. Cambridge University Press, 1954.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Academy of Agricultural Sciences of the GDR, Research Centre of Animal Production, Dummerstorf-Rostock, DDR 2551 Dummerstorf.
About this chapter
Cite this chapter
van der Laan, P., De Kroon, J. (1984). Ranks, Standardized Ranks and Standardized Aligned Ranks in the Analysis of Friedman’s Block Design. In: Rasch, D., Tiku, M.L. (eds) Robustness of Statistical Methods and Nonparametric Statistics. Theory and Decision Library, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6528-7_16
Download citation
DOI: https://doi.org/10.1007/978-94-009-6528-7_16
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-6530-0
Online ISBN: 978-94-009-6528-7
eBook Packages: Springer Book Archive