Nonparametric techniques in simulation analysis: a tutorial

Techniques that make a minimum of assumptions about the underlying characteristics of a simulation output series are particularly useful for simulation analysis. This tutorial discusses robust nonparametric techniques with immediate applicability to such crucial steps in simulation analysis as sampling, experimental design and output analysis. Algorithms are provided for various tasks.

[1]  Kenneth J. Berry,et al.  Computation of exact and approximate probability values for a matched pairs permutation test , 1985 .

[2]  S. L. Andersen,et al.  Permutation Theory in the Derivation of Robust Criteria and the Study of Departures from Assumption , 1955 .

[3]  W. Hoeffding.  The Large-Sample Power of Tests Based on Permutations of Observations , 1952 .

[4]  M. Kendall.  Statistical Methods for Research Workers , 1937, Nature.

[5]  Marcello Pagano,et al.  Efficient Calculation of the Permutation Distribution of Trimmed Means , 1991 .

[6]  B. L. Welch.  THE SIGNIFICANCE OF THE DIFFERENCE BETWEEN TWO MEANS WHEN THE POPULATION VARIANCES ARE UNEQUAL , 1938 .

[7]  H. Scheffé,et al.  The Analysis of Variance , 1960 .

[8]  Robert V. Foutz,et al.  A method for constructing exact tests from test statistics that have unknown null distributions , 1980 .

[9]  Pierre L'Ecuyer,et al.  Random numbers for simulation , 1990, CACM.

[10]  J. I.  The Design of Experiments , 1936, Nature.

[11]  M. Pagano,et al.  On Obtaining Permutation Distributions in Polynomial Time , 1983 .

[12]  B. Efron.  Bootstrap Methods: Another Look at the Jackknife , 1979 .

[13]  Enver Yücesan,et al.  Evaluating alternative system configurations using simulation: A nonparametric approach , 1994, Ann. Oper. Res..

[14]  Enver Yücesan,et al.  Randomization tests for initialization bias in simulation output , 1993 .

[15]  Lee W. Schruben,et al.  Uniform and bootstrap resampling of empirical distributions , 1993, WSC '93.

[16]  Robert Tibshirani,et al.  Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy , 1986 .

[17]  J. Haddock,et al.  The threshold bootstrap: a new approach to simulation output analysis , 1993, WSC '93.

[18]  Russell V. Lenth,et al.  Computer Intensive Methods for Testing Hypotheses: An Introduction , 1990 .