Common 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, Common Tests, discusses the common hypothesis testing methods, how to perform them, and their uses in Six Sigma analysis. Common hypothesis tests fall into three basic categories--those that compare two or more groups based on averages, on variability, and on proportion. Hypothesis testing using means is explored, including tests of single means, two independent means, and multiple means. Analysis of variance and tests of proportions--including binomial proportions--are also discussed. Paired-comparison tests, which are commonly used in "before and after" testing, are covered--as is goodness-of-fit testing, which compares how well your hypothesis fits your observed data. Six Sigma is a registered Trademark of Motorola Corporation, and all right, 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)
3.0

Lesson Objectives

Hypothesis Tests for Means, Variances, and Proportions

  • identify the benefits of hypothesis testing of means, variances, and proportions.
  • sequence the steps for testing a claim about a single mean.
  • perform the steps for completing a hypothesis test between two independent means for a given set of data.
  • identify the elements that are plotted in an Analysis of Means (ANOM) graph.
  • match the values needed to construct an Analysis of Means (ANOM) graph to examples of their respective calculations.
  • identify the characteristics of hypothesis tests based on analysis of variance.
  • identify the characteristics of hypothesis tests for proportions.
  • Paired-comparison Tests

  • identify the benefits of using paired-comparison tests in hypothesis testing.
  • identify examples of the characteristics of paired-comparison hypothesis testing.
  • perform a paired-comparison hypothesis test on a given set of data and interpret the results.
  • Goodness-of-fit Tests

  • recognize the benefits of understanding goodness-of-fit hypothesis tests.
  • evaluate goodness-of-fit by using the chi square test on a given set of data.
  • identify characteristics of the Kolmogorov-Smirnov goodness-of-fit test.
  • Course Number:
    OPER0253