We focus on the analysis of variance (ANOVA) method for high dimensional function approximation using Jacobi polynomial chaos to represent the terms of the expansion. First, we develop a weight theory inspired by quasi-Monte Carlo theory to identify which functions have low effective dimension using the ANOVA expansion in different norms. We then present estimates for the truncation error in th...

The lmdme package implements analysis of variance (ANOVA) decomposition through linear models on designed multivariate experiments in R (R Development Core Team, 2012), allowing ANOVA-principal component analysis (APCA) and ANOVA-simultaneous component analysis (ASCA). It also extends both methods with the application of partial least squares (PLS) through the specification of a desired output ...

Abstract– In the present paper, the effect of heat treatment on the surface roughness of AISI 4140 steel has been investigated by use of paired t-test and one way analysis of variance (ANOVA). The paired t-test was performed to determine the differences between the means before and after heat treatment. One way ANOVA was used to further evaluate the effect of heat treatment on the difference in...

We present an approach to smoothing balanced, single–error term analysis of variance (ANOVA), descended from Smith, that also allows spatial, temporal, or spatiotemporal smoothing. The approach addresses unreplicated designs, masked contrasts in effects with many degrees of freedom, and subgroup analysis, demonstrated using a study of denture-lining materials. Our approach is Bayesian but can b...

There has been debate regarding which method to use to analyze repeated measures continuous data when the design includes only two measurement times. Five different techniques can be applied and give similar results when there is little to no correlation between preand post-test measurements and when data at each time point are complete: 1) analysis of variance on the difference between preand ...

Submit Manuscript | http://medcraveonline.com Abbreviations: TS: Tapioca Starch; RS: Resistant Starch; HMT: Heat-Moisture Treatment; AM-L: Amylose-Lipid; XRD: X-Ray Diffraction; AM-AM: Amylose-Amylose; AMP-AMP: AmylopectinAmylopectin; PV: Peak Viscosity; CPV: Cold Paste Viscosity; SB: Set Back; BD: Break Down; TPA: Texture Profile Analysis; ANOVA: Analysis of Variance; DMRT: Duncan’s Multiple R...

Statistical methods used to test the null hypothesis are termed tests of significance. Selection of an appropriate test of significance is dependent on the type of data to be analyzed and the number of groups to be compared. Parametric tests of significance are based on the parameters, mean, standard deviation, and variance, and thus are used appropriately when interval or ratio data are analyz...

The stochastic partial differential systems have been widely used to model physical processes, where the inputs involve large uncertainties. Flows in random and heterogeneous porous media is one of the cases where the random inputs (e.g., permeability) are often modeled as a stochastic field with high-dimensional random parameters. To treat the high dimensionality and heterogeneity efficiently,...