618 Index
Binomial random variable(continued )
testing equality of parameters in two Bernoulli
populations, 327–329
Binomial theorem, 142
Box plot, 27
C
Central limit theorem, 204–206, 209–210
approximate distribution of sample mean,
210–212
sample size requirements, 212–213
Chance variation, 545
Chebyshev’s inequality
for data sets
definition, 9, 27–28
one-sided Chebyshev inequality,
29–30
proof, 28
probabilities, 127–129
Chi-square distribution
definition, 185–186
probabilities for random variables, 613
relation between chi-square and gamma
random variables, 187–189
sum of squares of residuals in linear regression,
358–359
summation of random variables, 216
Class interval, 14–15
Coefficient of determination, 376–378
Coefficient of multiple determination, 405
Column sum of squares, 461
Combinations of objects, 65
Composite hypothesis, 292
Conditional distribution, 105–107
Conditional probability, 67–70
Confidence interval estimators, 241–242
Bernoulli mean, 260–264
difference of two normal means,
253–260
exponential mean, 265–266
interpretation, 245–246
normal mean with unknown variance,
246–249, 251
one-sided lower, 242–243, 249
one-sided upper, 242–243, 248
regression parameters
a, 370
b, 365–366
mean response, 372–373
two-sided confidence interval, 242,
244–245
variances of a normal distribution,
251–253
Contingency tables
with fixed marginal totals, 499–504
tests of independence, 495–499
Continuous random variable, 91, 93
Control charts
cumulative sum charts, 571–573
estimation of mean and variance,
549–551
exponentially weighted moving-average charts,
565–570
for fraction defective, 557–559
lower control limit, 547–548, 552–553,
555–559, 562
moving-average charts, 563–565
for number of defects, 559–562
S-charts, 554
upper control limit, 547–548, 552–553,
555–559, 562
X-charts, 546–554
Correlation coefficient,seeSample correlation
coefficient
Covariance
definition, 121–122
multiple linear regression, 399–401
properties, 122–123
sums of random variables, 125–126
Cumulative sum control charts, 571–573D
de Moivre, A., 168
DeMorgan’s laws, 59
Dependent variable, 351
Descriptive statistics, 1–2, 9
Discrete random variable, 91–92
Distribution function, 91–93
Doll, R., 17
Double-blind test, 164