×

Two-way fuzzy ANOVA, II. (Spanish. English summary) Zbl 0656.62082

[For part I see the preceding entry, Zbl 0656.62081).]
We continue developing the linear model on two fuzzy dummy variables finding expressions for classical partitions of the total sum of squares, and study their distributional properties under normality assumptions. We give a geometrical interpretation of fitting when numerical explanatory variables are subjected to a semilinear fuzzy coding, and test the improvement of this model on the regression on the original variables. Finally, we study some estimable functions for this model.

MSC:

62J10 Analysis of variance and covariance (ANOVA)
62J05 Linear regression; mixed models
62J99 Linear inference, regression

Citations:

Zbl 0656.62081
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] CAZES, P. (1980: “Ana. Blocs II{”,Les Cahiers de l’Analyse des Données, 5:4, 387–403.}
[2] DUBOIS, D., y PRADE, H. (1980):Fuzzy Sets and Systems, Academic Press, Nueva York. · Zbl 0444.94049
[3] GALLEGO, J. (1982): “Codage flou en analyse des correspondances{”,Les Cahiers de l’Analyse des Données, 8:4, 413–430.}
[4] GONZALEZ DE GARIBAY, V. (1984):ANOVA difuso monocrítico, Publ. Sec. Mat. Univ. Valladolid, 8, 142–163.
[5] GONZALEZ DE GARIBAY, V., (1986): “ANOVA difuso bicriterio I{”,Trabajos de Estadística, 1, 2, Madrid.}
[6] MARTIN, F. (1980):Le códage flou et ses applications en statistique, thèse 3ème cycle, Pau.
[7] SEARLE, S. R. (1971):Linear Models, John Wiley & Sons, Nueva York. · Zbl 0218.62071
[8] TAKEUCHI, YANAY y MUUKHERJEE (1982):The Foundations of Multivariate Analysis; a Unified Approach by means of proyection onto Linear Subspaces, Wiley Eastern Limited, Nueva Delhi.
[9] WEGMAN, E. K., y WRIGHT, I. W. (1983): “Splines in statistics{”,JASA, 8:382, 351–365.} · Zbl 0534.62017 · doi:10.1080/01621459.1983.10477977
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.