Hostname: page-component-745bb68f8f-kw2vx Total loading time: 0 Render date: 2025-01-09T03:42:59.094Z Has data issue: false hasContentIssue false
  • English
  • Français

A missing value technique for the analysis of data with repeated measurements on each experimental unit

Published online by Cambridge University Press:  27 March 2009

D. E. Walters  and
J. G. Rowell
D. E. Walters
Affiliation:
Agricultural and Food Research Council Statistics Group, Department of Applied Biology, Pembroke Street, Cambridge, CB2 3DX
J. G. Rowell
Affiliation:
Agricultural and Food Research Council Statistics Group, Department of Applied Biology, Pembroke Street, Cambridge, CB2 3DX
Get access Rights & Permissions [Opens in a new window]

Summary

A missing value technique for the analysis of data where repeated measurements are taken on each experimental unit is proposed. The method suggested, which is a natural multivariate analogue of the well-known technique for univariate analyses, fits those missing values which minimize the determinant of the sums of squares and products matrix and provides the necessary downward adjustment to the residual degrees of freedom. A simulation exercise provides evidence that the method is fairly reliable.

Type
Research Article
Information
The Journal of Agricultural Science , Volume 102 , Issue 3 , June 1984 , pp. 595 - 599
Copyright
Copyright © Cambridge University Press 1984

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Anderson, T. W. (1958). An Introduction to Multivariate Statistical Analysis. New York: John Wiley & Sons, Inc.Google Scholar
Kempthorne, O. (1952). The Design and Analysis of Experiments. New York: John Wiley & Son, Inc.CrossRefGoogle Scholar
Olkin, I. & Vaeth, M. (1981). Maximum likelihood estimation in a two-way analysis of variance with correlated errors in one classification. Biometrika 68, 654–660.CrossRefGoogle Scholar
Rowell, J. G. & Walters, D. E. (1976). Analysing data with repeated observations on each experimental unit. Journal of Agricultural Science, Cambridge 87, 423–432.CrossRefGoogle Scholar
Steel, R. G. D. & Torrie, J. H. (1960). Principles and Procedures of Statistics. New York: McGraw-Hill.Google Scholar
Walters, D. E. & Rowell, J. G. (1982). Comments on a paper by I. Olkin and M. Vaeth on two-way analysis of variance with correlated errors. Biometrika 69, 664–666.CrossRefGoogle Scholar
Yates, F. (1933). The analysis of replicated experiments when the field results are incomplete. Empire Journal of Experimental Agriculture 1, 129–142.Google Scholar