ANOVA provides a general approach to the analysis of single and multiple factor experiments on both one- and two-color microarray platforms. Mixed model ANOVA is important because in many microarray experiments there are multiple sources of variation that must be taken into consideration when constructing tests for differential expression of a gene. The genome is large, and the signals of expre...

Smoothing Spline ANOVA is a statistical modeling algorithm based on a function decomposition similar to the classical analysis of variance (ANOVA) decomposition and the associated notions of main effect and interaction. It represents a suitable screening technique for detecting important variables (Variable Screening) in a given dataset. We present the mathematical background together with poss...

We show that the lower-order terms in the ANOVA decomposition of a function f(x) := max(φ(x), 0) for x ∈ [0, 1], with φ a smooth function, may be smoother than f itself. Specifically, f in general belongs only toW d,∞, i.e., f has one essentially bounded derivative with respect to any component of x, whereas, for each u ⊆ {1, . . . , d}, the ANOVA term fu (which depends only on the variables xj...

Adaptive Neuro-Fuzzy Inference System (ANFIS) can analyze the factors and factor levels affecting subject of interest in many branches such as technology, production, health, social education, depending on rules it creates with a very small experimental error (RMSE). modelling. It is also applied field agriculture, especially for solution problems agricultural selection or technological product...