Statistics: Principles and Methods, 7th Edition

Index

Addition law, 137–138

Alternative hypothesis (H₁), 323, 324

Analysis of variance (ANOVA), 560

completely randomized design, 560

F distribution, 569–570

F test, 570, 585–586

graphical diagnostics and displays with, 577–579

hand calculation of, 566

model, 568, 585

randomized block experiments, 579–581

simultaneous confidence intervals, 572–576

table, 565, 585

Average, 41–42. See also Mean

Bayes' Theorem, 154–158

Bell-shaped distributions, 55. See also Normal distributions

Bernoulli trials, 196–198

Best fit line, 108

Best fitting regression line, 459

Best fitting straight line, 459

Binomial distributions, 202–209

in context, 212–214

mean of, 208

normal approximation to, 252–255

Poisson approximation to, 219

standard deviation of, 208

Binomial random variable, 202

Binomial table, 206

Bivariate data, 85

scatter diagram of, 93–96

Blind trials, 92

Blocking, 418–419, 580

Block sum of squares, 583

Boundaries, class, 32

Boxplots, 57–59

Categorical data, 23–27, 528

Pearson's χ² test for goodness of fit, 531–534, 539, 550

test of homogeneity, 536–544

test of independence, 546–550

Causal variables, 452

Causation, correlation and, 101

Cause-and-effect diagram, 17–18

Cell frequency, 32

Center, measures of, 41–46

Centerline:

on control charts, 65

p charts, 213–214

Central limit theorem, 285–289

χ² test of homogeneity, 536–544

χ² test of independence, 546–550

Chi-square (χ²) distribution, 375–377

with n–1 degrees of freedom, 376

Chi-square (χ²) statistic, 532, 539, 550

properties, 534