Journal ArticleDOI
An Application of a Balanced Incomplete Block Design
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In this paper, a balanced incomplete block experiment is described in which the nine treatments were quantitative rather than qualitative, being actually two additives each at four levels and a third at one level.Abstract:
The analysis of balanced incomplete block experiments is discussed in most of the standard textbooks on experimental design. These discussions are usually confined to qualitative treatments; it being customary to obtain an adjusted sum of squares for treatments and to give procedures for determining the significance of the observed difference between two treatment totals. This paper describes a balanced incomplete block experiment in which the nine treatments were quantitative rather than qualitative, being actually two additives each at four levels and a third at one level. The unusual feature of the analysis is found in Section 3 where the adjusted sum of squares for treatments is subdivided into individual degrees of freedom, each of which is meaningful and specific to this example, and with which we obtain from the data response curves for the two factors which were used at four levels each.read more
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Analysis of Variance, Design, and Regression: Applied Statistical Methods
TL;DR: One Sample A General Theory for Testing and Confidence Intervals Two Sample Problems One-Way Analysis of Variance Multiple Comparison Methods Simple Linear and Polynomial Regression The Analysis of Count Data Basic Experimental Designs Analysis of Covariance Factorial Treatment Structures Split Plots, Repeated Measures, Random Effects, and Subsampling Multiple Regression: Matrix Formation Unbalanced Multifactor Analysis of variance Confounding and Fractional Replication in 2n Factorial Systems Nonlinear Regression Appendix A: Matrices Appendix B: Tables References Author Index Subject Index as mentioned in this paper
Journal ArticleDOI
Birnbaum–Saunders spatial modelling and diagnostics applied to agricultural engineering data
TL;DR: In this article, a spatial log-linear model based on the Birnbaum-Saunders (BS) distribution is proposed to describe spatial dependence in geo-referenced data.
Journal ArticleDOI
Diagnostics in multivariate generalized Birnbaum-Saunders regression models
TL;DR: In this article, the authors formulate multivariate generalized BS regression models and carry out a diagnostic analysis for these models and consider the Mahalanobis distance as a global influence measure to detect multivariate outliers and use it for evaluating the adequacy of the distributional assumption.
Journal ArticleDOI
Incorporation of frailties into a cure rate regression model and its diagnostics and application to melanoma data.
TL;DR: The proposal consists of incorporating frailty into a cure rate model, as an alternative to the existing models to describe this type of data, based on the Birnbaum-Saunders distribution, and considers likelihood-based methods to estimate the model parameters and to derive influence diagnostics for this model.
References
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Journal ArticleDOI
The Analysis of Variance
TL;DR: In this paper, the basic theory of analysis of variance by considering several different mathematical models is examined, including fixed-effects models with independent observations of equal variance and other models with different observations of variance.
Book
The design and analysis of industrial experiments
TL;DR: This paper is based on a lecture on the “Design and Analysis of Industrial Experiments” given by Dr O. L. Davies on the 8th of May 1954 and the recent designs developed by Box for the exploration of response surfaces are briefly considered.