Two-Sample Problems in Statistical Data Modelling
Journal Title: Mathematical Modelling and Analysis - Year 2010, Vol 15, Issue 1
Abstract
A common problem in mathematical statistics is to check whether two samples differ from each other. From modelling point of view it is possible to make a statistical test for the equality of two means or alternatively two distribution functions. The second approach allows to represent the two-sample test graphically. This can be done by adding simultaneous confidence bands to the probability-probability ([i]P[/i] − [i]P[/i]) or quantile-quantile ([i]Q[/i]−[i]Q[/i]) plots. In this paper we compare empirically the accuracy of the classical two-sample t-test, empirical likelihood method and several bootstrap methods. For a real data example both [i]Q[/i]−[i]Q[/i] and [i]P[/i] − [i]P[/i] plots with simultaneous confidence bands have been plotted using the smoothed empirical likelihood and smoothed bootstrap methods.
Authors and Affiliations
J. Valeinis, E. Cers
Keywords
Related Articles
- EP ID EP83446
- DOI 10.3846/1392-6292.2010.15.137-15
- Views 98
- Downloads 0
Construction of Chaotic Dynamical System
The first-order difference equation x[i][sub]n[/sub][/i][sub]+1[/sub] = [i]f [/i](x[i][sub]n[/sub][/i]),[i] n[/i] = 0, 1, . . ., where [i]f[/i] : R → R, is referred as an one-dimensional discrete dynamical system. If fun...
Characteristic Functions for Sturm-Liouville Problems with Nonlocal Boundary Conditions
This paper presents some new results on a spectrum in a complex plane for the second order stationary differential equation with one Bitsadze--Samarskii type nonlocal boundary condition. In this paper, we survey the char...
On Solutions of Neumann Boundary Value Problem for the Liénard Type Equation
We provide conditions on the functions [i]f(x) [/i]and [i]g(x)[/i], which ensure the existence of solutions to the Neumann boundary value problem for the equation [i]x''+f(x)[sup][/sup]x[sup]'2[/sup]+g(x)=0.[/i]
A New Strategy for Choosing the Chebyshev-Gegenbauer Parameters in a Reconstruction Based on Asymptotic Analysis
The Gegenbauer reconstruction method, first proposed by Gottlieb et. al. in 1992, has been considered a useful technique for re-expanding finite series polynomial approximations while simultaneously avoiding Gibbs artifa...
Genetic Algorithm-based Calibration of Reduced Order Galerkin Models
Low-dimensional models, allowing quick prediction of fluid behaviour, are key enablers of closed-loop flow control. Reduction of the model's dimension and inconsistency of high-fidelity data set and the reduced-order for...