The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Analysis of Growth and Dose Response Curves
Abstract
SUMMARY A method of analysis of 'growth curves' that utilizes the technique of analysis of covariance is developed and illustrated. The method yields results identical to those obtained by weighting inversely by the sample covariance matrix, but has the additional feature of allowing flexibility in weighting by choosing subsets of covariates that have special properties. Thus, exploitation of Rao's observation that selected subsets of the covariates may in some cases yield 'better' estimates than the complete set is easily implemented. Examples are included to illustrate the calculations and how to determine when it will be advantageous to use all the vectors in the error space as covariates (weight inversely by the sample covariance matrix) or to use only a subset, and how to choose the 'best' subset from examination of sample covariance or correlation matrices.
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Cites
An Introduction to Multivariate Statistical Analysis
Muirhead, R. J., & Anderson, T. W. (1986) · Journal of Business & Economic Statistics · doi:10.2307/1391399 · Cited by 9,082
Multivariate Statistical Methods
(2008) · Encyclopedia of Public Health · doi:10.1007/978-1-4020-5614-7_2263 · Cited by 5,580
Introduction to Multivariate Statistical Analysis.
Madow, W. G., & Anderson, T. W. (1959) · The American Mathematical Monthly · doi:10.2307/2308777 · Cited by 3,878
Multivariate Statistical Methods.
Brillinger, D. R., & Morrison, D. F. (1969) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2344132 · Cited by 1,203
A generalized multivariate analysis of variance model useful especially for growth curve problems
POTTHOFF, R. F., & ROY, S. N. (1964) · Biometrika · doi:10.1093/biomet/51.3-4.313 · Cited by 1,068
RAO, C. R. (1965) · Biometrika · doi:10.1093/biomet/52.3-4.447 · Cited by 653
Jenkins, C. D., Rosenman, R. H., & Friedman, M. (1967) · Journal of Chronic Diseases · doi:10.1016/0021-9681(67)90010-0 · Cited by 386
Rao, C. R. (1967) · Project Euclid (Cornell University) · Cited by 378
A note on a manova model applied to problems in growth curve
Khatri, C. G. (1966) · Annals of the Institute of Statistical Mathematics · doi:10.1007/bf02869518 · Cited by 371
Exact Distributions of Wilks's Likelihood Ratio Criterion
Schatzoff, M. (1966) · Biometrika · doi:10.1093/biomet/53.3-4.347 · Cited by 113
Cited by
Random-Effects Models for Longitudinal Data
Laird, N. M., & Ware, J. H. (1982) · Biometrics · doi:10.2307/2529876 · Cited by 8,923
Procedures for Comparing Samples with Multiple Endpoints
O'Brien, P. C. (1984) · Biometrics · doi:10.2307/2531158 · Cited by 1,162
The analysis of designed experiments and longitudinal data by using smoothing splines
Verbyla, A. P., Cullis, B. R., Kenward, M. G., & Welham, S. J. (1999) · Journal of the Royal Statistical Society Series C: Applied Statistics · doi:10.1111/1467-9876.00154 · Cited by 570
Maximum Likelihood Computations with Repeated Measures: Application of the EM Algorithm
Laird, N., Lange, N., & Stram, D. (1987) · Journal of the American Statistical Association · doi:10.1080/01621459.1987.10478395 · Cited by 406
Metadata
- Authors
- Grizzle, J. E., & Allen, D. M.
- Venue
- Biometrics
- Publisher
- JSTOR
- Published
- 1969-06
- Volume
- 25
- Issue
- 2
- Pages
- 357
- ISSN
- 0006-341X (ISSN-L)
- OpenAlex
- W1979249873
- Cited by
- 503
- References
- 10
- FWCI
- 8.91
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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