ANOM Method And Its Application Study

The thesis studies a kind of effective quality method - the analysis of means (ANOM) and its applications. It is thought as an extension of Shewhart control chart techniques. In essence, ANOM is a technique for comparing a group of means to see if any of them are significantly different from the overall mean. As such, it can be thought as an alternative to the analysis of variance for experimental designs with factors at fixed levels. They both provide a study whether the effects of the factors are significant. It is especially recommended for ease of interpretation, the simple computation steps, an assessment of practical significance as well as statistical significance and graphical presentation of results. The thesis gives an introduction to the use of analysis of means step by step. The procedure is applied to one-way, two-way and more complicated factorial designs. For variable data and attribute data, the ability to detecting different means of ANOM is both strong. Examples illustrating its usefulness for analyzing variable data, proportions and counts are given. How to use the power curve of ANOM is also introduced.The thesis makes great efforts to study the application of ANOM, including: the comparison of ANOM with ANOVA on the sensitivity for detecting different means and sample sizes, the introduction of a procedure for pooling data by ANOM, the application of ANOM and ANOR (Analysis of Ranges) for signal and noise in Taguchi design, an analysis-of-means-type test for the homogeneity of variance (HOV), the application of ANOM on the assessment of the company employee performance and ANOM in marketing research.