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Statistics: Principles and Methods, 7th Edition by Gouri K. Bhattacharyya, Richard A. Johnson

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Index

Addition law, 137138

Alternative hypothesis (H1), 323, 324

Analysis of variance (ANOVA), 560

completely randomized design, 560

F distribution, 569570

F test, 570, 585586

graphical diagnostics and displays with, 577579

hand calculation of, 566

model, 568, 585

randomized block experiments, 579581

simultaneous confidence intervals, 572576

table, 565, 585

Average, 4142. See also Mean

Bayes' Theorem, 154158

Bell-shaped distributions, 55. See also Normal distributions

Bernoulli trials, 196198

Best fit line, 108

Best fitting regression line, 459

Best fitting straight line, 459

Binomial distributions, 202209

in context, 212214

mean of, 208

normal approximation to, 252255

Poisson approximation to, 219

standard deviation of, 208

Binomial random variable, 202

Binomial table, 206

Bivariate data, 85

scatter diagram of, 9396

Blind trials, 92

Blocking, 418419, 580

Block sum of squares, 583

Boundaries, class, 32

Boxplots, 5759

Categorical data, 2327, 528

Pearson's χ2 test for goodness of fit, 531534, 539, 550

test of homogeneity, 536544

test of independence, 546550

Causal variables, 452

Causation, correlation and, 101

Cause-and-effect diagram, 1718

Cell frequency, 32

Center, measures of, 4146

Centerline:

on control charts, 65

p charts, 213214

Central limit theorem, 285289

χ2 test of homogeneity, 536544

χ2 test of independence, 546550

Chi-square (χ2) distribution, 375377

with n–1 degrees of freedom, 376

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

properties, 534

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