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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 Chart | p. 1 |
Modified Control Limits | p. 1 |
Acceptance Control Charts | p. 4 |
Bibliography | p. 5 |
Acceptance Sampling for Attributes | p. 7 |
Operating Characteristic (OC) Curve | p. 8 |
MIL-STD-105E (ANSI/ASZC Z1.4) | p. 11 |
Format for Use and Discussion | p. 12 |
Continuous Sampling Plans (CSPs) | p. 15 |
CSP-1 Plan | p. 16 |
CSP-2 Plan | p. 21 |
A Method for Selecting the AQL | p. 24 |
Bibliography | p. 24 |
Acceptance Sampling for Variables | p. 25 |
Sampling Plans Based on Specified AQL, RQL, [alpha] Risk, and [beta] Risk | p. 27 |
Sampling Plans Based on Range R | p. 29 |
Bibliography | p. 31 |
Average/Range Control Chart | p. 33 |
Bibliography | p. 40 |
Average/Standard Deviation Control Chart | p. 41 |
Bibliography | p. 45 |
Chart Resolution | p. 47 |
Variable Control Charts: Individuals | p. 47 |
Variables Control Charts: Averages | p. 51 |
Attribute Chart: P Charts | p. 53 |
For P [less than or equal] 0.10, Poisson Distribution | p. 54 |
For P [greater than or equal] 0.10, Normal Distribution | p. 55 |
Bibliography | p. 57 |
Chi-Square Contingency and Goodness-of-Fit | p. 59 |
Chi-Square Contigency Tables | p. 59 |
Goodness-of-Fit | p. 62 |
Goodness-of-Fit to Poisson Distribution | p. 62 |
Goodness-of-Fit to Uniform Distribution | p. 65 |
Goodness-of-Fit to Specified Distribution | p. 65 |
Bibliography | p. 66 |
Chi-Square Control Chart | p. 67 |
Bibliography | p. 74 |
Confidence Interval for the Average | p. 75 |
Confidence Interval, n [less than or equal] 30 | p. 76 |
Confidence Interval, n ] 30 | p. 77 |
Confidence Limit, n ] 30, Single-Sided Limit | p. 78 |
Confidence Limit, n [less than or equal] 30, Single-Sided Limit | p. 79 |
Bibliography | p. 80 |
Confidence Interval for Proportions | p. 81 |
Bibliography | p. 89 |
Confidence Interval for Standard Deviation | p. 91 |
Testing Homogeneity of Variances | p. 93 |
Bibliography | p. 94 |
Defects/Unit Control Charts | p. 95 |
Case Study | p. 97 |
Bibliography | p. 102 |
Demerit/Unit Chart | p. 103 |
Bibliography | p. 110 |
Descriptive Statistics | p. 111 |
Bibliography | p. 115 |
Designed Experiments | p. 117 |
Normal Probability Plot | p. 124 |
Visualization of Two-Factor Interactions | p. 126 |
Fractional Factorial Experiments | p. 131 |
Calculation of Main Effects | p. 135 |
Two-Factor Interations | p. 137 |
Statistical Significance Based on t Test | p. 140 |
Variation Reduction | p. 141 |
Response Modeling | p. 144 |
An Alternative Method for Evaluating Effects Based on Standard Deviation | p. 147 |
Plackett-Burman Screening Designs | p. 149 |
Achieving the Final Objective | p. 154 |
Bibliography | p. 154 |
Discrete Distributions | p. 155 |
Hypergeometric Distribution | p. 155 |
Binomial Distribution | p. 156 |
Poisson Distribution | p. 158 |
The Normal Distribution as an Approximation of the Binomial | p. 160 |
Pascal Distribution | p. 162 |
Cumulative Distribution Tables | p. 163 |
Bibliography | p. 164 |
Evolutionary Operation, EVOP | p. 165 |
Bibliography | p. 171 |
Exponentially Weighted Moving Average, EWMA | p. 173 |
Bibliography | p. 179 |
F-Test | p. 181 |
Single-Sided vs. Double-Sided Tests | p. 182 |
Histograms | p. 185 |
Example of a Frequency Histogram | p. 185 |
Bibliography | p. 190 |
Hypothesis Testing | p. 191 |
Formulation of the Hypothesis | p. 191 |
Conclusions and Consequences for a Hypothesis Test | p. 192 |
Selecting a Test Statistic and Rejection Criteria | p. 193 |
Hypothesis about the Variance | p. 205 |
Bibliography | p. 206 |
Individual-Median/Range Chart | p. 207 |
Bibliography | p. 214 |
Individual/Moving Range Chart | p. 215 |
Bibliography | p. 221 |
Measurement Error Assessment | p. 223 |
Variables Measurements Error | p. 223 |
Terms and Concepts | p. 223 |
Combined (Gage) Repeatability and Reproducibility Error (GR and R) | p. 228 |
Consequences of Measurement Error | p. 228 |
Confidence Interval for Repeatability, Reproducibility and Combined RandR | p. 229 |
Confidence Interval for Repeatability, EV | p. 230 |
Confidence Interval for Reproducibility, AV | p. 232 |
Confidence Interval for Combined Repeatability and Reproducibility, RandR | p. 233 |
Attribute and Visual Inspection Error | p. 234 |
Bibliography | p. 236 |
Multivariate Charts | p. 237 |
T[superscript 2] Charts | p. 237 |
The T[superscript 2] Equation | p. 240 |
Calculation of Individual and Average Covariance | p. 241 |
Calculation of Individual T[superscript 2] Values | p. 242 |
Calculation of the Control Limits | p. 244 |
Standardized Euclidean Distance, D[subscript E] | p. 248 |
Plotting Statistic | p. 248 |
Control Limits and Center Line | p. 249 |
Bibliography | p. 254 |
Nonnormal Distribution C[superscript pk] | p. 255 |
C[superscript pk] Adjusted for SK and KU Uing Normal Probability Plots | p. 266 |
Bibliography | p. 267 |
Nonparametric Statistics | p. 269 |
Comparing Two Averages: Wilcoxon-Mann-Whitney Test | p. 269 |
Comparing More Than Two Averages: The Kruskall-Wallis Rank Sum Text | p. 272 |
Bibliography | p. 273 |
Normal Distribution | p. 275 |
Central Limit Theorem | p. 280 |
Pareto Analysis | p. 283 |
Bibliography | p. 287 |
Pre-Control | p. 289 |
Description | p. 289 |
A Comparison of Pre-Control and SPC | p. 291 |
Bibliography | p. 294 |
Process Capability Indices | p. 295 |
C[superscript pk] | p. 295 |
Confidence Interval for C[superscript pk] | p. 297 |
Cr and Cp Indices | p. 300 |
Confidence Interval for Cp and Cr | p. 301 |
C[superscript pm] Index | p. 302 |
Bibliography | p. 306 |
p Chart | p. 307 |
Exponential Model | p. 318 |
Data Transformation | p. 321 |
Bibliography | p. 323 |
Regression and Correlation | p. 325 |
Linear Least Square Fit | p. 325 |
Confidence for the Estimated Expected Value | p. 326 |
Assessing the Model: Drawing Inferences about [beta][subscript 1] | p. 327 |
Testing [beta][subscript 1] | p. 328 |
Measuring the Strength of the Linear Relationship | p. 329 |
Testing the Coefficient of Correlation | p. 329 |
Bibliography | p. 331 |
Reliability | p. 333 |
Exponential Distribution | p. 337 |
Determination of Failure Rate, [lambda] | p. 337 |
Confidence Internal for [lambda] time-Censored (Type I) Data | p. 340 |
Confidence Interval for [lambda] from Failure-Censored (Type II) Data | p. 341 |
Success Run Theorum | p. 343 |
Reliability Modeling | p. 344 |
Series Systems | p. 344 |
Parallel Systems | p. 345 |
Complex Systems | p. 346 |
Shared-Load Parallel Systems | p. 347 |
Standby parallel Systems | p. 348 |
Bibliography | p. 349 |
Sequential Simplex Optimization | p. 351 |
Theoretical Optimum | p. 351 |
Strategies for Optimization | p. 351 |
Shotgun Approach | p. 352 |
Approach of a Single Factor at a Time | p. 352 |
Basic Simplex Algorithm | p. 353 |
Simplex Calculations | p. 354 |
Bibliography | p. 360 |
Short-Run Attribute Charts | p. 361 |
Short-Run p Chart | p. 366 |
Bibliography | p. 368 |
Short-Run Average/Range Chart | p. 369 |
For the Short-Run Average Chart | p. 369 |
For the Short-Run Range Chart | p. 370 |
Fox [characters not reproducible] | p. 371 |
For [characters not reproducible] | p. 372 |
Bibliography | p. 380 |
Short-Run Individual/Moving Range Chart | p. 381 |
Derivation of the Plotting Characteristic for the Location Statistic | p. 381 |
Derivation of the Plotting Characteristic for the Variation Statistic | p. 381 |
Selecting a Value for X[subscript T] and MR[subscript T] | p. 383 |
Bibliography | p. 389 |
SPC Chart Interpretation | p. 391 |
Bibliography | p. 396 |
Taguchi Loss Function | p. 397 |
Losses with Nonsymmetric Specifications | p. 401 |
Bibliography | p. 402 |
Testing for a Normal Distribution | p. 403 |
Normal Probability Plot | p. 403 |
Normal Probability Plots Using Transformed Data | p. 409 |
Chi-Square Goodness-of-Fit Test | p. 411 |
Skewness and Kurtosis | p. 413 |
Bibliography | p. 416 |
Weibull Analysis | p. 417 |
Probability Plotting | p. 418 |
Plotting Data Using Weibull Paper | p. 421 |
Estimation of Minimum Life Characteristic | p. 423 |
Bibliography | p. 424 |
Zone Charts | p. 425 |
Construction of Zone Charts | p. 426 |
Collect Historical Data | p. 428 |
Bibliography | p. 433 |
Appendix A Tables | p. 435 |
Standard Normal Distribution | p. 435 |
Poisson Unity Values, Pa | p. 436 |
Poisson Unity Values, RQL/AQL | p. 437 |
t-Distribution | p. 438 |
Chi-Square Distribution | p. 439 |
Control Chart Factors I | p. 440 |
Control Chart Factors II | p. 440 |
Critical Values of Smaller Rank Sum for Wilcoxon-Mann-Whitney Test | p. 441 |
Values of i and f for CSP-1 Plans | p. 442 |
Cumulative Poisson Distribution | p. 443 |
F-table | p. 445 |