The Effects of Non-normality on Type III error for Comparing Independent Means

Journal Title: Journal of Applied Quantitative Methods - Year 2007, Vol 2, Issue 4

Abstract

The major objective of this study was to investigate the effects of non-normality on Type III error rates for ANOVA F its three commonly recommended parametric counterparts namely Welch, Brown-Forsythe, and Alexander-Govern test. Therefore these tests were compared in terms of Type III error rates across the variety of population distributions, mean difference (effect size), and sample sizes. At the end of 100,000 simulation trials it was observed that the Type III error rates for four tests were affected by the effect size (δ) and sample size, whereas Type III errors were not affected from distribution shapes. Results of the simulation also indicated that increases in sample size and population mean difference decreased Type III error, and increased statistical test power. Across the all distributions, sample sizes and population mean differences (δ), the Alexander-Govern test obtained higher estimates for power, lower estimates of Type III error (γ).

Authors and Affiliations

Mehmet MENDES

Keywords

Related Articles

Young Public Manager in Romania - a New Approach

This paper addresses issues of civil service development, in the context of public administration reform. There are, in the countries of the old and new Europes, a wide variety of approaches to training and development i...

Some Notes on the Logistic Distribution[sup][/sup]

In this paper we study some properties of the density function f (x;θ ) =θ ⋅ e[sup]−x[/sup] (1+ e[sup]−x[/sup] )−[sup](θ +1)[/sup] , x ∈ R,θ > 0 which may be obtained from the distribution of the last order statistic...

STATISTICAL MODELING OF MORTALITY RISK FOR CONGENITAL HEART DEFECTS

This paper, retrieving surgical data recorded in the Pediatric Cardiac Care Consortium between 1985-2004, identifies an inverse relationship between in-hospital mortality and pediatric cardiac surgical volume in small an...

Productivity Assessment and Improvement Measurement of Decision Making Units - An Application for Ranking Cities in Israel

In this paper we will demonstrate how productivity and improvement rate of urban organizational units (called also Decision Making Units - DMU's) may be assessed when measured along several time periods. The assessment a...

A TWO-LEVEL STRUCTURAL EQUATION MODEL FOR EVALUATING THE EXTERNAL EFFECTIVENESS OF PHD

In recent years the number of PhDs in Italy has significantly grown and purposes of PhD courses have expanded from the traditional ones. The analysis of the contribution of PhD title for job placement and employment cond...

Download PDF file
  • EP ID EP145174
  • DOI -
  • Views 101
  • Downloads 0

How To Cite

Mehmet MENDES (2007). The Effects of Non-normality on Type III error for Comparing Independent Means. Journal of Applied Quantitative Methods, 2(4), 444-454. https://europub.co.uk/articles/-A-145174