Journal Article10.1093/BIOMET/40.3-4.361
Orthogonal polynomial fitting
About: This article is published in Biometrika. The article was published on 01 Dec 1953. The article focuses on the topics: Matrix polynomial & Polynomial and rational function modeling.
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Citations
Studies in the History of Probability and Statistics. XV
Hilary L. Seal
- 01 Jan 1967
TL;DR: The linear regression model owes so much to Gauss that we believe it should bear his name as mentioned in this paper, and other authors who made substantial contributions are: Cauchy who introduced the idea of orthogonality; Chebyshev who applied it to polynomial models; Pizzetti who found the distribution of the sum of squares of the residuals on the Normal assumption; Karl Pearson who linked the model with the multivariate Normal thereby broadening the field of applications.
172
On multiple regression analysis
TL;DR: In this article, the authors present a simple and convenient computational lay-out which can be used for both procedures and apply to a variety of practical examples in order to see what results they lead to and what pitfalls may be encountered.
67
Orthogonal Polynomial Regression
TL;DR: In this article, the orthogonal polynomial regression approach for curve fitting when the independent variable occurs at unequal intervals and is observed with unequal frequency is discussed. And the computations required for determining orthogonality are described with a simple example.
66
Selection of a numerical technique for analyzing experimental data of the decay type with special reference to the use of tracers in biological systems
Beatrice H. Worsley,Louis C. Lax +1 more
TL;DR: Curves involving sums of exponential terms are fitted to these data and compared with fitted polynomial forms and found that values of functions derived from these parameters which have a physical interpretation are rather more stable under variations.
42
References
•Book
Statistical Methods for Research Workers
R. A. Fisher
- 01 Jan 1925
TL;DR: The prime object of as discussed by the authors is to put into the hands of research workers, and especially of biologists, the means of applying statistical tests accurately to numerical data accumulated in their own laboratories or available in the literature.
11.3K
Biometrika tables for statisticians
Egon S. Pearson,Karl Pearson,H. O. Hartley +2 more
- 01 Jan 1954
1.7K
•Book
Biometrika tables for statisticians
Egon S. Pearson
- 01 Jan 1954
TL;DR: The Biometrika Tables for Statisticians, Volume 2.3, No. 3, this article, were used for the first time in this paper, with the same authors.
1.5K
The analysis of covariance.
TL;DR: The view is that the experiment was conducted to compare the effects of four different drugs in delaying the atrophy of denervated muscles and to assume that the weight of the intact muscle, at the end of the experiment, is the same as that of the denervate muscle at the beginning of the Experiment.
173