Variance, Contingency Tables, and Nonparametric Tests


Overview/Description
Target Audience
Expected Duration
Lesson Objectives
Course Number



Overview/Description
The Analyze phase of Six Sigma's® DMAIC (Define, Measure, Analyze, Improve, and Control) roadmap includes what is traditionally referred to as "crunching the numbers." After you have accurately defined the problem and measured the correct data in earlier phases, the Analyze phase looks at that data from all angles in an effort to precisely determine the relationships among variables. Making the data useful is the job of the Analyze phase. By organizing, quantifying, visualizing, and testing the hypotheses and relationships between variables in a process, the Analyze phase narrows the focus to the few key causes of error or inefficiency. In the Improve phase that follows, Six Sigma teams then have the formulas, tested hypotheses, and target areas for the changes that are needed--a statistical understanding of the problem and likely solutions. This course, Variance, Contingency Tables, and Nonparametric Tests, discusses the common tests of variance, how to perform them, and their uses in Six Sigma analysis. You'll learn about the benefits and general characteristics of the Analysis of Variance (ANOVA) technique. Step-by-step instruction on performing both single-factor (one-way) ANOVA and two-factor (two-way) ANOVA is provided. You'll also learn how to construct and use contingency tables. Finally, you'll explore the application of common nonparametric tests such as the Mann Whitney U, Kruskal-Wallis, Mood's Median, and Levene's tests. Six Sigma is a registered Trademark of Motorola Corporation, and all rights, title, and interest in Six Sigma belongs to Motorola.

Target Audience
Candidates for Black Belt certification; managers/executives overseeing personnel involved in the implementation of Six Sigma in their organization; consultants involved in implementing a Six Sigma proposal; and organizations implementing a Six Sigma project

Expected Duration (hours)
2.5

Lesson Objectives

Analysis of Variance (ANOVA)

  • identify the benefits of using Analysis of Variance (ANOVA).
  • identify the characteristics of Analysis of Variance (ANOVA).
  • perform a one-way Analysis of Variance (ANOVA) for a given set of data.
  • perform a two-way Analysis of Variance (ANOVA) for a given set of data.
  • Contingency Tables

  • identify the benefits of using contingency tables in determining statistical significance.
  • identify examples of properly constructed contingency tables.
  • use a contingency table to determine statistical significance.
  • Nonparametric Tests

  • recognize the benefits of understanding nonparametric tests.
  • identify the common characteristics of nonparametric tests.
  • match the common nonparametric tests to examples of situations where each can be used.
  • Course Number:
    OPER0254