CRC Standard Probability and Statistics Tables and Formulae, Student Edition

by Kokoska; Stephen

• ISBN13: 9780849300264
• ISBN10: 0849300266
• Edition: 1st
• Format: Nonspecific Binding
• Copyright: 2000-03-29
• Publisher: CRC Press

Summary

Users of statistics in their professional lives and statistics students will welcome this concise, easy-to-use reference for basic statistics and probability. It contains all of the standardized statistical tables and formulas typically needed plus material on basic statistics topics, such as probability theory and distributions, regression, analysis of variance, nonparametric statistics, and statistical quality control.For each type of distribution the authors supply:? definitions? tables? relationships with other distributions, including limiting forms? statistical parameters, such as variance and generating functions? a list of common problems involving the distributionStandard Probability and Statistics: Tables and Formulae also includes discussion of common statistical problems and supplies examples that show readers how to use the tables and formulae to get the solutions they need. With this handy reference, the focus can shift from rote learning and memorization to the concepts needed to use statistics efficiently and effectively.

Table of Contents

Introduction	1	(2)
Data Sets	1	(2)
Summarizing Data	3	(16)
Tabular and graphical procedures	3	(4)
Numerical summary measures	7	(12)
Probability	19	(20)
Algebra of sets	19	(1)
Combinatorial methods	19	(4)
Probability	23	(4)
Random variables	27	(2)
Mathematical expectation	29	(3)
Multivariate distributions	32	(6)
Inequalities	38	(1)
Functions of Random Variables	39	(20)
Finding the probability distribution	39	(4)
Sums of random variables	43	(1)
Sampling distributions	44	(2)
Finite population	46	(1)
Theorems	47	(1)
Order statistics	48	(5)
Range and studentized range	53	(6)
Discrete Probability Distributions	59	(18)
Bernoulli distribution	59	(1)
Binomial distribution	60	(6)
Geometric distribution	66	(2)
Hypergeometric distribution	68	(2)
Multinomial distribution	70	(1)
Negative binomial distribution	70	(2)
Poisson distribution	72	(3)
Rectangular (discrete uniform) distribution	75	(2)
Continuous Probability Distributions	77	(38)
Cauchy distribution	79	(1)
chi-square distribution	80	(7)
Erlang distribution	87	(1)
Exponential distribution	88	(1)
F distribution	89	(7)
Gamma distribution	96	(1)
Lognormal distribution	97	(2)
Normal distribution	99	(2)
Normal distribution: multivariate	101	(1)
Pareto distribution	102	(1)
Rayleigh distribution	103	(1)
t distribution	104	(3)
Triangular distribution	107	(1)
Uniform distribution	108	(1)
Weibull distribution	109	(1)
Relationships among distributions	110	(5)
Standard Normal Distribution	115	(20)
Density function and related functions	115	(10)
Critical values	125	(1)
Tolerance factors for normal distributions	125	(3)
Operating characteristic curves	128	(3)
Multivariate normal distribution	131	(1)
Distribution of the correlation coefficient	131	(4)
Estimation	135	(6)
Definitions	135	(1)
Cramer--Rao inequality	136	(1)
Theorems	137	(1)
The method of moments	138	(1)
The likelihood function	138	(1)
The method of maximum likelihood	138	(1)
Invariance property of MLEs	139	(1)
Different estimators	139	(2)
Confidence Intervals	141	(6)
Definitions	141	(1)
Common critical values	141	(1)
Sample size calculations	142	(1)
Summary of common confidence intervals	143	(1)
Other tests	144	(2)
Finite population correction factor	146	(1)
Hypothesis Testing	147	(10)
Introduction	147	(4)
The Neyman--Pearson lemma	151	(1)
Likelihood ratio tests	151	(1)
Goodness of fit test	151	(2)
Contingency tables	153	(1)
Significance test in 2 x 2 contingency tables	154	(1)
Critical values for testing outliers	155	(2)
Regression Analysis	157	(8)
Simple linear regression	157	(7)
Multiple linear regression	164	(1)
Nonparametric Statistics	165	(36)
Friedman test for randomized block design	165	(1)
Kendall's rank correlation coefficient	165	(2)
Kolmogorov--Smirnoff tests	167	(6)
Kruskal--Wallis test	173	(2)
The runs test	175	(10)
The sign test	185	(1)
Spearman's rank correlation coefficient	186	(5)
Wilcoxon matched-pairs signed-ranks test	191	(1)
Wilcoxon rank--sum (Mann--Whitney) test	192	(8)
Wilcoxon signed-rank test	200	(1)
Miscellaneous topics	201	(11)
Ceiling and floor functions	201	(1)
Error functions	201	(1)
Exponential function	202	(1)
Factorials and Pochhammer's symbol	203	(1)
Gamma function	204	(2)
Hypergeometric functions	206	(1)
Logarithmic functions	207	(1)
Sums of powers of integers	208	(4)
Notation	212	(5)
Index	217