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| Title | A Study on the Degrees of Freedom in an Experimental Design Model Based on an Orthonormal System (in Japanese) |
|---|---|
| Authors | Yoshifumi Ukita 、Toshiyasu Matsushima 、Shigeichi Hirasawa |
| Released Year | 2012 |
| Format | Journal |
| Category | Knowledge information processing |
| Jounal Name | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences |
| Jounal Page | vol.E96-A, no.2, pp.658-662 |
| Published Year | 2013 |
| Published Month | 2 |
| Abstract （English） |
Experiments usually aim to study how changes in various factors affect the response variable of interest. Since the response model used most often at present in experimental design is expressed through the effect of each factor, it is straightforward to ascertain how each factor affects the response variable. However, since the response model contains redundant parameters, we must calculate the degrees of freedom defined by the number of independent parameters in the analysis of variance. In this letter, we show that through a description of experimental design based on an orthonormal system, the response model can be expressed using only independent parameters. Hence, by using this description, we do not have to calculate the degrees of freedom defined by the number of independent parameters. |
| Note （English） |
3 |
| Manuscript | |
| Presentation |
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- A Source Model with Probability Distribution over Word Set and Recurrence Time Theorem
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- Asymptotics of Bayesian Inference for a Class of Probabilistic Models under Misspecification
- An Analysis of Slepian-Wolf Coding Problem Based on the Asymptotic Normality
- On the Overflow Probability of Fixed - to - Variable Length Codes with Side Information
- A Note on Relation between the Fourier Coefficients and the Effects in the Experimental Design
- Asymptotic property of universal lossless coding for independent piecewise identically distributed sources
- A Note on the Linear Programming Decoding of Binary Linear Codes for Multiple-Access Channel
- A Note on Automatic Construction Algorithms for Orthogonal Designs of Experiments Using Error-correcting Codes
- A Note on the Branch-and-Cut Approach to Decoding Linear Block Codes
- Estimation of the Effects in the Experimental Design using Fourier Transforms
- A Note on a Sampling Theorem for Functions over $GF(q)^n$ Domain
- On Precise Achievable Conditions in Resolvability Problem Based on the Asymptotic Normality
