Statistics and Probability with Applications for Engineers and Scientists, Preliminary Edition

Index

Analysis of categorical data

goodness-of-fit tests for kcategories,θ's known, 536

goodness-of-fit tests for k categories,θ's unknown, 538

goodness-of-fit tests for 2 × 2 contingency tables, 544

goodness-of-fit tests for r × s contingency tables, 547

goodness-of-fit tests applied to testing homogeneity, 551

ANOVA table for one-way data, 731

see also Experimental design

Approximation,

to the binomial distribution, 179

to the hypergeometric distribution, 126

Bayes’ theorem,

for two events, 104

for k(>2) events, 105

Binomial coefficient, 99

Binomial distribution,

approximation using the Central Limit

Theorem, 243

mean and variance, 125

negative 136, 137, 138, 146

Binomial parameter,

interval estimate, 309

point estimate, 308

Binomial waiting-time distribution, 136

Bivariate normal distribution, 6, 224, 649, 650

Blocking,

in two-way experimental designs, 725, 774

Categorical data

see analysis of categorical data

Censoring (See also Reliability)

right, 423, 424, 436

Type I, 421, 423

Type II, 421

Central composite design, 857, 874, 875, 876, 881,901

Central Limit Theorem, 177, 234, 240, 243, 244, 245, 246, 283, 293, 344, 353, 357, 554

Chebychev's Inequality, 160, 162, 164, 232

Chi-square:

contingency table, 547–548

goodness-of-fit test, 536, 537, 539, 541

homogeneity test, 551

independence test, 550, 556

p.d.f. defined, 247, 248, 249

percentage points, 250

variables, addition theorem for, 250

Class limits,

class mark, 28, 53

lower class limit, 16

upper class limit, 16

Coefficient ...