By Bhisham C. Gupta
This booklet is a table reference for 6 Sigma eco-friendly belts or novices who're now not acquainted with statistics. As Six Sigma workforce participants, eco-friendly belts can help pick out, acquire information for, and support with the translation of a number of statistical or quantitative instruments in the context of the Six Sigma technique. This e-book will function an outstanding educational instrument constructing a powerful knowing of uncomplicated information together with how one can describe facts either graphically and numerically. It’s particular concentration is on thoughts, purposes, and interpretations of the statistical instruments used in the course of, and as a part of, the layout, degree, examine, increase, and keep an eye on (DMAIC) method. in contrast to such a lot books for 6 Sigma newbies, this e-book is not only a proof of Six Sigma, it bargains genuine instruments and theories to aid practitioners greater comprehend and practice their jobs in gathering and interpreting facts. Readers utilizing this booklet will discover ways to comprehend the advantages of info as an target degree, in addition to the method of utilizing chosen instruments for examining information and the way to make judgements in line with quantitative inputs.
checklist of Figures
checklist of Tables
desk of Contents
1. surroundings the Context for 6 Sigma
2. Getting begun with records
three. Describing facts Graphically
four. Describing information Numerically
6. Discrete Random Variables and Their likelihood Distributions
7. non-stop Random Variables and Their likelihood Distributions
eight. Sampling Distributions
nine. element and period Estimation
10. speculation trying out
eleven. laptop assets to help utilized data: utilizing MINITAB® and JMP® Statistical software program
in regards to the Authors
Contents of CD-ROM
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Additional resources for Applied Statistics for the Six Sigma Green Belt
5. 5 In a manufacturing operation we are interested in better understanding defect rates as a function of our various process steps. The inspection points are initial cutoff, turning, drilling, and assembly. 6. Construct a pie chart for these data. Solution: The pie chart for these data is constructed by dividing the circle into four slices. 6. 2. 6 Understanding defect rates as a function of various process steps. 2 Pie chart for defects associated with manufacturing process steps. 2 gives us a better understanding at a glance about the rate of defects occurring at different process steps.
2 Numerical measures computed by using sample data are referred to as statistics. In statistics it is a standard practice to denote parameters by letters of the Greek alphabet and statistics by letters of the English alphabet. We divide numerical measures into two major categories: (1) measures of centrality and (2) measures of dispersion. Measures of centrality give us information about the center of the data whereas measures of dispersion give information about the variation within the data. 2 Measures of Centrality DESCRIPTION MEASURES OF CENTRALITY Measures of centrality include several numerical measures.
The downward trend indicates a negative association between the two variables. A numerical measure of association between two numerical variables is called the Pearson correlation coefficient, named after the English statistician Karl Pearson (1857–1936). The correlation coefﬁcient between two numerical variables in sample data is usually denoted by r. A Greek letter denotes the corresponding measure of association, that is, correlation coefﬁcient for a population data. 5) The correlation coefﬁcient is a unitless measure, which can attain any value in the interval [Ϫ1, ϩ1].