Mathematical Statistics with Resampling and R

INDEX

α(Significance level), 37, 223

Agresti-Coull interval, 191–194

Alternative hypothesis, 36

Asymptotic bias, 151

β(Type II error), 226

Barchart, 14

Bayes, 301–322

Bayes Theorem, 302

computational issues, 340–341

importance sampling, 355–359

Bellman, Richard, 341

Bernoulli distribution, 373

Beta distribution, 390–391

as prior for binomial data, 310

Bias, 122–124, 148

Binomial distribution, 373–374

Bonferroni correction, 233

Bootstrap, 99–129

accuracy, 125

bias, 122

bias for parametric bootstrap, 335

bootstrap distributions and sampling distributions, 104

bootstrap idea, the, 100

bootstrap sample, 100

center, bias, spread, shape, 103–104

distribution too narrow, 330–331

estimate cdf with ecdf, 107

how many resamples?, 129

Johnson’s t interval, 207

parametric, 331–335

percentile interval, 113–114

vs. permutation test, 116

ratio of means, 120

regression, 279

relative risk, 123–124

sample rows of the data, 279

single population, 101

smoothed, 327–331

standard error, 102

stratified, 340

t confidence interval, 195–200

two populations, 114

variation of bootstrap distribution, 125, 128

Z interval, 208

Boxplot, 19

χ² _m, 57, 385

Case studies

Beer and hot wings, 8, 26–27, 38–42, 47–48, 295, 359

Birth weights of babies, 2, 20, 99–102, 190, 198, 215–217, 297

Black spruce seedlings, 8, 31, 70, 202, 240, 248, 255,261–262

Bushmeat, 283–286

Flight delays, 1, 13–15, 20, 30, 69, 72, 133, 203

General Social Survey (GSS), 5–6, 31, 52–56, 72, 192, 195, 205, 218, 219, 244,324

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