Cover image for The desk reference of statistical quality methods
Title:
The desk reference of statistical quality methods
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Publication Information:
Milwaukee, Wis : ASQ Quality Press, 2000
ISBN:
9780873894722

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30000005165950 TS156 C79 2000 Open Access Book Book
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Summary

Summary

This reference guide illustrates how to execute forty essential statistical improvement methods frequently used in the quality sciences, such as acceptance sampling for attributes, discrete distributions, multivariate charts, and Weibull analysis. Arranged alphabetically, each entry provides computational steps, application comments, and a brief pr


Author Notes

Mark L. Crossley holds a BS in Chemistry and Mathematics from the University of North Carolina and a MS in Quality Assurance from California State University. He is the president of Quality Management Associates, Inc., a consulting firm in Salisbury, North Carolina, specializing in the use of statistical methods for quality improvement, and he is a nationally recognized instructor for the American Society for Quality.


Reviews 1

Choice Review

This is an excellent reference book for quality practitioners, providing quick reference and stand-alone topics in alphabetical order. In this second edition (1st ed., 2000), several sections have been expanded, and new topics such as reliability applications and Simplex Optimization have been included. Detailed computational steps are incorporated throughout the work along with very helpful presentations on how to use quality techniques and tools. For anyone interested in executing statistical quality methods, Crossley (Quality Management Associates, Inc.) provides 48 topics from accelerated reliability testing to zone format control charts. These subjects are housed in one of seven major categories including "Descriptive Methods," "Statistical Process Control," "Special Applications," "Process Improvement," "Reliability," "Comparative Data Analysis," and "Acceptance Sampling Plans." Summing Up: Highly recommended. Upper-division undergraduate through professional library collections. D. J. Gougeon University of Scranton


Table of Contents

Acceptance Control Chartp. 1
Modified Control Limitsp. 1
Acceptance Control Chartsp. 4
Bibliographyp. 5
Acceptance Sampling for Attributesp. 7
Operating Characteristic (OC) Curvep. 8
MIL-STD-105E (ANSI/ASZC Z1.4)p. 11
Format for Use and Discussionp. 12
Continuous Sampling Plans (CSPs)p. 15
CSP-1 Planp. 16
CSP-2 Planp. 21
A Method for Selecting the AQLp. 24
Bibliographyp. 24
Acceptance Sampling for Variablesp. 25
Sampling Plans Based on Specified AQL, RQL, [alpha] Risk, and [beta] Riskp. 27
Sampling Plans Based on Range Rp. 29
Bibliographyp. 31
Average/Range Control Chartp. 33
Bibliographyp. 40
Average/Standard Deviation Control Chartp. 41
Bibliographyp. 45
Chart Resolutionp. 47
Variable Control Charts: Individualsp. 47
Variables Control Charts: Averagesp. 51
Attribute Chart: P Chartsp. 53
For P [less than or equal] 0.10, Poisson Distributionp. 54
For P [greater than or equal] 0.10, Normal Distributionp. 55
Bibliographyp. 57
Chi-Square Contingency and Goodness-of-Fitp. 59
Chi-Square Contigency Tablesp. 59
Goodness-of-Fitp. 62
Goodness-of-Fit to Poisson Distributionp. 62
Goodness-of-Fit to Uniform Distributionp. 65
Goodness-of-Fit to Specified Distributionp. 65
Bibliographyp. 66
Chi-Square Control Chartp. 67
Bibliographyp. 74
Confidence Interval for the Averagep. 75
Confidence Interval, n [less than or equal] 30p. 76
Confidence Interval, n ] 30p. 77
Confidence Limit, n ] 30, Single-Sided Limitp. 78
Confidence Limit, n [less than or equal] 30, Single-Sided Limitp. 79
Bibliographyp. 80
Confidence Interval for Proportionsp. 81
Bibliographyp. 89
Confidence Interval for Standard Deviationp. 91
Testing Homogeneity of Variancesp. 93
Bibliographyp. 94
Defects/Unit Control Chartsp. 95
Case Studyp. 97
Bibliographyp. 102
Demerit/Unit Chartp. 103
Bibliographyp. 110
Descriptive Statisticsp. 111
Bibliographyp. 115
Designed Experimentsp. 117
Normal Probability Plotp. 124
Visualization of Two-Factor Interactionsp. 126
Fractional Factorial Experimentsp. 131
Calculation of Main Effectsp. 135
Two-Factor Interationsp. 137
Statistical Significance Based on t Testp. 140
Variation Reductionp. 141
Response Modelingp. 144
An Alternative Method for Evaluating Effects Based on Standard Deviationp. 147
Plackett-Burman Screening Designsp. 149
Achieving the Final Objectivep. 154
Bibliographyp. 154
Discrete Distributionsp. 155
Hypergeometric Distributionp. 155
Binomial Distributionp. 156
Poisson Distributionp. 158
The Normal Distribution as an Approximation of the Binomialp. 160
Pascal Distributionp. 162
Cumulative Distribution Tablesp. 163
Bibliographyp. 164
Evolutionary Operation, EVOPp. 165
Bibliographyp. 171
Exponentially Weighted Moving Average, EWMAp. 173
Bibliographyp. 179
F-Testp. 181
Single-Sided vs. Double-Sided Testsp. 182
Histogramsp. 185
Example of a Frequency Histogramp. 185
Bibliographyp. 190
Hypothesis Testingp. 191
Formulation of the Hypothesisp. 191
Conclusions and Consequences for a Hypothesis Testp. 192
Selecting a Test Statistic and Rejection Criteriap. 193
Hypothesis about the Variancep. 205
Bibliographyp. 206
Individual-Median/Range Chartp. 207
Bibliographyp. 214
Individual/Moving Range Chartp. 215
Bibliographyp. 221
Measurement Error Assessmentp. 223
Variables Measurements Errorp. 223
Terms and Conceptsp. 223
Combined (Gage) Repeatability and Reproducibility Error (GR and R)p. 228
Consequences of Measurement Errorp. 228
Confidence Interval for Repeatability, Reproducibility and Combined RandRp. 229
Confidence Interval for Repeatability, EVp. 230
Confidence Interval for Reproducibility, AVp. 232
Confidence Interval for Combined Repeatability and Reproducibility, RandRp. 233
Attribute and Visual Inspection Errorp. 234
Bibliographyp. 236
Multivariate Chartsp. 237
T[superscript 2] Chartsp. 237
The T[superscript 2] Equationp. 240
Calculation of Individual and Average Covariancep. 241
Calculation of Individual T[superscript 2] Valuesp. 242
Calculation of the Control Limitsp. 244
Standardized Euclidean Distance, D[subscript E]p. 248
Plotting Statisticp. 248
Control Limits and Center Linep. 249
Bibliographyp. 254
Nonnormal Distribution C[superscript pk]p. 255
C[superscript pk] Adjusted for SK and KU Uing Normal Probability Plotsp. 266
Bibliographyp. 267
Nonparametric Statisticsp. 269
Comparing Two Averages: Wilcoxon-Mann-Whitney Testp. 269
Comparing More Than Two Averages: The Kruskall-Wallis Rank Sum Textp. 272
Bibliographyp. 273
Normal Distributionp. 275
Central Limit Theoremp. 280
Pareto Analysisp. 283
Bibliographyp. 287
Pre-Controlp. 289
Descriptionp. 289
A Comparison of Pre-Control and SPCp. 291
Bibliographyp. 294
Process Capability Indicesp. 295
C[superscript pk]p. 295
Confidence Interval for C[superscript pk]p. 297
Cr and Cp Indicesp. 300
Confidence Interval for Cp and Crp. 301
C[superscript pm] Indexp. 302
Bibliographyp. 306
p Chartp. 307
Exponential Modelp. 318
Data Transformationp. 321
Bibliographyp. 323
Regression and Correlationp. 325
Linear Least Square Fitp. 325
Confidence for the Estimated Expected Valuep. 326
Assessing the Model: Drawing Inferences about [beta][subscript 1]p. 327
Testing [beta][subscript 1]p. 328
Measuring the Strength of the Linear Relationshipp. 329
Testing the Coefficient of Correlationp. 329
Bibliographyp. 331
Reliabilityp. 333
Exponential Distributionp. 337
Determination of Failure Rate, [lambda]p. 337
Confidence Internal for [lambda] time-Censored (Type I) Datap. 340
Confidence Interval for [lambda] from Failure-Censored (Type II) Datap. 341
Success Run Theorump. 343
Reliability Modelingp. 344
Series Systemsp. 344
Parallel Systemsp. 345
Complex Systemsp. 346
Shared-Load Parallel Systemsp. 347
Standby parallel Systemsp. 348
Bibliographyp. 349
Sequential Simplex Optimizationp. 351
Theoretical Optimump. 351
Strategies for Optimizationp. 351
Shotgun Approachp. 352
Approach of a Single Factor at a Timep. 352
Basic Simplex Algorithmp. 353
Simplex Calculationsp. 354
Bibliographyp. 360
Short-Run Attribute Chartsp. 361
Short-Run p Chartp. 366
Bibliographyp. 368
Short-Run Average/Range Chartp. 369
For the Short-Run Average Chartp. 369
For the Short-Run Range Chartp. 370
Fox [characters not reproducible]p. 371
For [characters not reproducible]p. 372
Bibliographyp. 380
Short-Run Individual/Moving Range Chartp. 381
Derivation of the Plotting Characteristic for the Location Statisticp. 381
Derivation of the Plotting Characteristic for the Variation Statisticp. 381
Selecting a Value for X[subscript T] and MR[subscript T]p. 383
Bibliographyp. 389
SPC Chart Interpretationp. 391
Bibliographyp. 396
Taguchi Loss Functionp. 397
Losses with Nonsymmetric Specificationsp. 401
Bibliographyp. 402
Testing for a Normal Distributionp. 403
Normal Probability Plotp. 403
Normal Probability Plots Using Transformed Datap. 409
Chi-Square Goodness-of-Fit Testp. 411
Skewness and Kurtosisp. 413
Bibliographyp. 416
Weibull Analysisp. 417
Probability Plottingp. 418
Plotting Data Using Weibull Paperp. 421
Estimation of Minimum Life Characteristicp. 423
Bibliographyp. 424
Zone Chartsp. 425
Construction of Zone Chartsp. 426
Collect Historical Datap. 428
Bibliographyp. 433
Appendix A Tablesp. 435
Standard Normal Distributionp. 435
Poisson Unity Values, Pap. 436
Poisson Unity Values, RQL/AQLp. 437
t-Distributionp. 438
Chi-Square Distributionp. 439
Control Chart Factors Ip. 440
Control Chart Factors IIp. 440
Critical Values of Smaller Rank Sum for Wilcoxon-Mann-Whitney Testp. 441
Values of i and f for CSP-1 Plansp. 442
Cumulative Poisson Distributionp. 443
F-tablep. 445