614 Index score interval, 223 scripts, 545 sensitivity, 48 series, 554 set, 550 shape parameter, 141 shingle, 7, 528 sign test, 226, 234, 247 significance level, 93 simple hypothesis, 282 simple linear regression, 333 simple random sample, 187, 241 Simpson’s paradox, 19 size of a set, 552 skewness, 7, 127 smoking, 288, 291, 292, 495 soap, 367 space shuttle, 379 specificity, 48 spring constant, 326 SQL, 516 SRS, see simple random sample SSE, 331, 348, 409, 428 SSM, 348, 409, 428 SST , 348, 409 St. Petersburg Paradox, 107 standard deviation, 16, 69 standard error, 193, 212, 345, 394 standardized residuals, 355 standardized score, 137 stars, 358 statistic, 57, 200 stepwise regression, 475, see also step() straight large, 46 Student, see Gosset, W. S. studentized range distribution, 445 studentized residuals, 356 subjective approach, 309 subset, 550 suﬃcient statistic, 255 sum of squares, 23 supernormality of residuals, 356 superset, 550 support of a random variable, 268 supremum, 52, 102 surjection, 34 systematic component, 389 t(ν), see t-distribution t-distribution, 213 t-statistic, 391 Taylor polynomial, 128 Taylor series, 128, 129 Taylor’s Theorem, 193 tea, see lady tasting tea terminal velocity, 395 test statistic, 57, 92 time series plot, 24 time until failure, see lifetime models tolerance, 321 total deviation from the mean, 23 transformation of a random variable, 66 of data, 362, 392 treatment, 423 trebuchet, 340, 345, see also trebuchet2 trimmed mean, 12 Tukey bulge, 364, 393 Tukey contrasts, 453, 485 Tukey’s honest significant differences, 445, 497 Tukey, J., 363 twins, 230, 295 2-sample t-test, 373 2-sided alternative, 59 type I error, 62, 93 type II error, 62, 93 unbalanced design, 448 unbiased estimator, 335, 343 Unif(a, b), see uniform distribution uniform distribution, 106, 116, 117, 178, 181, 255, 258 discrete, 168 unimodal, 8 union, 551 universal set, 551 urn model, 83, 85 variance, 16, 69, 181 of a random variable, 93 vector, 155 random, see joint distribution vectorize, 117, 117 Venn diagram, 551 Wald confidence interval, 223 wear, 155 Wedderburn, R. W. M., 379 Weibull distribution, 142, 154, 257 weighted least squares, 354

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