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CRC Standard Probability and Statistics Tables and Formulae, Student Edition,9780849300264
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CRC Standard Probability and Statistics Tables and Formulae, Student Edition


Edition: Student
Author(s): Kokoska; Stephen
ISBN10:  0849300266
ISBN13:  9780849300264
Format:  Paperback
Pub. Date:  3/29/2000
Publisher(s): CRC

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SummaryTable of Contents
This volume contains all of the standardized statistical tables and formulas typically needed by students and casual users of statistics, plus material on basic statistics topics, such as probability theory and distributions, regression, analysis of variance, nonparametric statistics, and statistical quality control. Standard 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.
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

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