Nonparametric Tests in Six Sigma Analysis
Candidates seeking Six Sigma Black Belt certification, quality professionals, engineers, production managers, frontline supervisors, and all individuals charged with responsibility for improving quality and processes at the organizational or departmental level, including process owners and champions
Proficiency at the Green Belt level with population parameters, sample statistics, and basic hypothesis testing methodology as scoped in the ASQ – Six Sigma Green Belt Body of Knowledge (BOK)
Hypothesis testing is a process of assuming an initial claim about the population characteristics and then statistically testing this claim using sample data. Testing hypotheses is a very important activity in Six Sigma projects in the areas of analysis, decision making, and change implementation. In conventional hypothesis tests called parametric tests a sample statistic is obtained to estimate a population parameter and hence requires a number of assumptions to be made about the underlying population; such as the normality of data. However, another category of hypothesis tests called nonparametric tests is used when some of these assumptions (such as normality of data) cannot be safely made. Nonparametric tests require fewer assumptions and are often used when the data is from an unknown or non-normal population. Nonparametric tests are not completely free from assumptions, however. For instance, they still require the data to be from an independent random sample. The course aims to familiarize learners with approaches for analyzing nonparametric data, particularly the use of four nonparametric tests for validating hypotheses: Mood’s Median tests, Levene’s tests, Kruskal-Wallis tests, and Mann-Whitney tests. This course is aligned with the ASQ Certified Six Sigma Black Belt certification exam and is designed to assist learners as part of their exam preparation. It builds on foundational knowledge that is taught in SkillSoft’s ASQ-aligned Green Belt curriculum.
Introduction to Nonparametric Tests
Mood’s Median Test and Kruskal-Wallis Test
The Mann-Whitney Test and Levene’s Test