Process Capability Analysis Estimating Quality 1st edition by Neil Polhemus – Ebook PDF Instant Download/Delivery: 1138030155, 978-1138030152
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ISBN 10: 1138030155
ISBN 13: 978-1138030152
Author: Neil Polhemus
Process Capability Analysis: Estimating Quality presents a systematic exploration of process capability analysis and how it may be used to estimate quality. The book is designed for practitioners who are tasked with insuring a high level of quality for the products and services offered by their organizations. Along with describing the necessary statistical theory, the book illustrates the practical application of the techniques to data that do not always satisfy the standard assumptions.
The first two chapters deal with attribute data, where the estimation of quality is restricted to counts of nonconformities. Both classical and Bayesian methods are discussed. The rest of the book deals with variable data, including extensive discussions of both capability indices and statistical tolerance limits. Considerable emphasis is placed on methods for handling non-normal data. Also included are discussions of topics often omitted in discussions of process capability, including multivariate capability indices, multivariate tolerance limits, and capability control charts. A separate chapter deals with the problem of determining adequate sample sizes for estimating process capability.
Process Capability Analysis Estimating Quality 1st Table of contents:
1. Introduction
1.1 Relative Frequency Histogram
1.2 Summary Statistics
1.2.1 Measures of Central Tendency
1.2.2 Measures of Variability
1.2.3 Measures of Shape
1.3 Box-and-Whisker Plot
1.4 Plotting Attribute Data
1.5 Estimating the Percentage of Nonconformities
1.5.1 Proportion Nonconforming
1.5.2 Defects per Million
1.5.3 Six Sigma and World Class Quality
1.5.4 What’s Ahead
References
Bibliography
2. Capability Analysis Based on Proportion of Nonconforming Items
2.1 Estimating the Proportion of Nonconforming Items
2.1.1 Confidence Intervals and Bounds
2.1.2 Plotting the Likelihood Function
2.2 Determining Quality Levels
2.3 Information in Zero Defects
2.4 Incorporating Prior Information
2.4.1 Uniform Prior
2.4.2 Nonuniform Prior
Bibliography
3. Capability Analysis Based on Rate of Nonconformities
3.1 Estimating the Mean Nonconformities per Unit
3.2 Determining Quality Levels
3.3 Sample Size Determination
3.4 Incorporating Prior Information
Bibliography
4. Capability Analysis of Normally Distributed Data
4.1 Normal Distribution
4.2 Parameter Estimation
4.3 Individuals versus Subgroup Data
4.3.1 Levels of Variability
4.3.2 Capability versus Performance
4.3.3 Estimating Long-Term Variability
4.3.4 Estimating Short-Term Variability from Subgroup Data
4.3.5 Estimating Short-Term Variability from Individuals Data
4.4 Estimating the Percentage of Nonconforming Items
4.5 Estimating Quality Indices
4.5.1 Z Indices
4.5.2 Cp and Pp
4.5.3 Cr and Pr
4.5.4 Cpk and Ppk
4.5.5 Cm and Pm
4.5.6 Cpm
4.5.7 CCpk
4.5.8 K
4.5.9 SQL: The Sigma Quality Level
4.6 Confidence Bounds for Proportion of Nonconforming Items
4.6.1 Confidence Limits for One-Sided Specifications
4.6.2 Confidence Limits for Two-Sided Specifications
4.6.2.1 Bootstrap Confidence Limits for Individuals Data
4.6.2.2 Bootstrap Confidence Limits for Subgroup Data
4.7 Summary
Reference
Bibliography
5. Capability Analysis of Nonnormal Data
5.1 Tests for Normality
5.2 Power Transformations
5.2.1 Box-Cox Transformations
5.2.2 Calculating Process Capability
5.2.3 Confidence Limits for Capability Indices
5.3 Fitting Alternative Distributions
5.3.1 Selecting a Distribution
5.3.2 Testing Goodness-of-Fit
5.3.3 Calculating Capability Indices
5.3.4 Confidence Limits for Capability Indices
5.4 Nonnormal Capability Indices and Johnson Curves
5.5 Comparison of Methods
References
Bibliography
6. Statistical Tolerance Limits
6.1 Tolerance Limits for Normal Distributions
6.2 Tolerance Limits for Nonnormal Distributions
6.2.1 Tolerance Limits Based on Power Transformations
6.2.2 Tolerance Limits Based on Alternative Distributions
6.3 Nonparametric Statistical Tolerance Limits
References
Bibliography
7. Multivariate Capability Analysis
7.1 Visualizing Bivariate Data
7.2 Multivariate Normal Distribution
7.3 Multivariate Tests for Normality
7.4 Multivariate Capability Indices
7.5 Confidence Intervals
7.6 Multivariate Normal Statistical Tolerance Limits
7.6.1 Multivariate Tolerance Regions
7.6.2 Simultaneous Tolerance Limits
7.7 Analysis of Nonnormal Multivariate Data
References
Bibliography
8. Sample Size Determination
8.1 Sample Size Determination for Attribute Data
8.1.1 Sample Size Determination for Proportion of Nonconforming Items
8.1.1.1 Specification of Error Bounds
8.1.1.2 Specification of Alpha and Beta Risks
8.1.2 Sample Size Determination for Rate of Nonconformities
8.2 Sample Size Determination for Capability Indices
8.2.1 Sample Size Determination for Cp and Pp
8.2.2 Sample Size Determination for Cpk and Ppk
8.3 Sample Size Determination for Statistical Tolerance Limits
Reference
Bibliography
9. Control Charts for Process Capability
9.1 Capability Control Charts
9.1.1 Control Chart for Proportion of Nonconforming Items
9.1.2 Control Chart for Rate of Nonconformities
9.1.3 Control Charts for Cp and Pp
9.1.4 Control Charts for Cpk and Ppk
9.1.5 Sample Size Determination for Capability Control Charts
9.2 Acceptance Control Charts
9.2.1 Sigma Multiple Method
9.2.2 Beta Risk Method
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