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APPENDIX A
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Table XI Factors for Tolerance Intervals (continued) Values of k for One-Sided Intervals Confidence Level Percent Coverage 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 40 50 60 70 80 90 100 0.90 10.253 4.258 3.188 2.742 2.494 2.333 2.219 2.133 2.066 2.011 1.966 1.928 1.895 1.867 1.842 1.819 1.800 1.782 1.765 1.750 1.737 1.724 1.712 1.702 1.657 1.598 1.559 1.532 1.511 1.495 1.481 1.470 0.90 0.95 13.090 5.311 3.957 3.400 3.092 2.894 2.754 2.650 2.568 2.503 2.448 2.402 2.363 2.329 2.299 2.272 2.249 2.227 2.028 2.190 2.174 2.159 2.145 2.132 2.080 2.010 1.965 1.933 1.909 1.890 1.874 1.861 0.99 18.500 7.340 5.438 4.666 4.243 3.972 3.783 3.641 3.532 3.443 3.371 3.309 3.257 3.212 3.172 3.137 3.105 3.077 3.052 3.028 3.007 2.987 2.969 2.952 2.884 2.793 2.735 2.694 2.662 2.638 2.618 2.601 0.90 20.581 6.155 4.162 3.407 3.006 2.755 2.582 2.454 2.355 2.275 2.210 2.155 2.109 2.068 2.033 2.002 1.974 1.949 1.926 1.905 1.886 1.869 1.853 1.838 1.777 1.697 1.646 1.609 1.581 1.559 1.542 1.527 0.95 0.95 26.260 7.656 5.144 4.203 3.708 3.399 3.187 3.031 2.911 2.815 2.736 2.671 2.614 2.566 2.524 2.486 2.453 2.423 2.396 2.371 2.349 2.328 2.309 2.292 2.220 2.125 2.065 2.022 1.990 1.964 1.944 1.927 0.99 37.094 10.553 7.042 5.741 5.062 4.642 4.354 4.143 3.981 3.852 3.747 3.659 3.585 3.520 3.464 3.414 3.370 3.331 3.295 3.263 3.233 3.206 3.181 3.158 3.064 2.941 2.862 2.807 2.765 2.733 2.706 2.684 0.90 103.029 13.995 7.380 5.362 4.411 3.859 3.497 3.240 3.048 2.898 2.777 2.677 2.593 2.521 2.459 2.405 2.357 2.314 2.276 2.241 2.209 2.180 2.154 2.129 2.030 1.902 1.821 1.764 1.722 1.688 1.661 1.639 0.99 0.95 131.426 17.370 9.083 6.578 5.406 4.728 4.285 3.972 3.738 3.556 3.410 3.290 3.189 3.102 3.028 2.963 2.905 2.854 2.808 2.766 2.729 2.694 2.662 2.633 2.515 2.364 2.269 2.202 2.153 2.114 2.082 2.056 0.99 185.617 23.896 12.387 8.939 7.335 6.412 5.812 5.389 5.074 4.829 4.633 4.472 4.337 4.222 4.123 4.037 3.960 3.892 3.832 3.777 3.727 3.681 3.640 3.601 3.447 3.249 3.125 3.038 2.974 2.924 2.883 2.850
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Appendix B Bibliography
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INTRODUCTORY WORKS AND GRAPHICAL METHODS
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Chambers, J., Cleveland, W., Kleiner, B., and P. Tukey (1983), Graphical Methods for Data Analysis, Wadsworth & Brooks/Cole, Paci c Grove, CA. A very well-written presentation of graphical methods in statistics. Freedman, D., Pisani, R., Purves R., and A. Adbikari (1991), Statistics, 2nd ed., Norton, New York. An excellent introduction to statistical thinking, requiring minimal mathematical background. Hoaglin, D., Mosteller, F., and J. Tukey (1983), Understanding Robust and Exploratory Data Analysis, John Wiley & Sons, New York. Good discussion and illustration of techniques such as stem-and-leaf displays and box plots. Tanur, J., et al. (eds.) (1989), Statistics: A Guide to the Unknown, 3rd edition, Wadsworth & Brooks/Cole, Paci c Grove, CA. Contains a collection of short nonmathematical articles describing different applications of statistics. Tukey, J. (1977), Exploratory Data Analysis, Addison-Wesley, Reading, MA. Introduces many new descriptive and analytical methods. Not extremely easy to read. Reading, MA. A precalculus introduction to probability with many excellent examples. Ross, S. (1998), A First Course in Probability, 5th ed., Macmillan, New York. More mathematically sophisticated than this book, but has many excellent examples and exercises.
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MATHEMATICAL STATISTICS
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Efron, B., and R. Tibshirani (1993), An Introduction to the Bootstrap, Chapman and Hall, New York. An important reference on this useful but computer-intensive technique. Hoel, P. G. (1984), Introduction to Mathematical Statistics, 5th ed., John Wiley & Sons, New York. An outstanding introductory book, well written, and generally easy to understand. Hogg, R., and A. Craig (1995), Introduction to Mathematical Statistics, 5th ed., Prentice-Hall, Englewood Cliffs, NJ. Another classic work on the mathematical principles of statistics; higher level than the Hoel book, but contains excellent discussions of estimation and hypothesis testing. Larsen, R., and M. Marx (1986), Introduction to Mathematical Statistics, 2nd ed., Prentice-Hall, Englewood Cliffs, NJ. Written at a relatively low mathematical level, very readable. Larson, H. J. (1982), Introduction to Probability Theory and Statistical Inference, 3rd ed., John Wiley & Sons, New York. An extremely well-written book that gives broad coverage to many aspects of probability and mathematical statistics.
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