Schaum's Outline of Statistics

✍ Scribed by Spiegel, Murray R.;Stephens, Larry J

• Publisher: McGraw-Hill Professional Publishing
• Year: 2007;2008
• Tongue: English
• Series: Schaum's Outline
• Edition: 4th ed
• Category: Library

✦ Synopsis

Intro -- Contents -- Chapter 1 Variables and Graphs -- Statistics -- Population and Sample -- Inductive and Descriptive Statistics -- Variables: Discrete and Continuous -- Rounding of Data -- Scientific Notation -- Significant Figures -- Computations -- Functions -- Rectangular Coordinates -- Graphs -- Equations -- Inequalities -- Logarithms -- Properties of Logarithms -- Logarithmic Equations -- Chapter 2 Frequency Distributions -- Raw Data -- Arrays -- Frequency Distributions -- Class Intervals and Class Limits -- Class Boundaries -- The Size, or Width, of a Class Interval -- The Class Mark -- General Rules for Forming Frequency Distributions -- Histograms and Frequency Polygons -- Relative-Frequency Distributions -- Cumulative-Frequency Distributions and Ogives -- Relative Cumulative-Frequency Distributions and Percentage Ogives -- Frequency Curves and Smoothed Ogives -- Types of Frequency Curves -- Chapter 3 The Mean, Median, Mode, and Other Measures of Central Tendency -- Index, or Subscript, Notation -- Summation Notation -- Averages, or Measures of Central Tendency -- The Arithmetic Mean -- The Weighted Arithmetic Mean -- Properties of the Arithmetic Mean -- The Arithmetic Mean Computed from Grouped Data -- The Median -- The Mode -- The Empirical Relation Between the Mean, Median, and Mode -- The Geometric Mean G -- The Harmonic Mean H -- The Relation Between the Arithmetic, Geometric, and Harmonic Means -- The Root Mean Square -- Quartiles, Deciles, and Percentiles -- Software and Measures of Central Tendency -- Chapter 4 The Standard Deviation and Other Measures of Dispersion -- Dispersion, or Variation -- The Range -- The Mean Deviation -- The Semi-Interquartile Range -- The 10-90 Percentile Range -- The Standard Deviation -- The Variance -- Short Methods for Computing the Standard Deviation -- Properties of the Standard Deviation.

✦ Table of Contents

Intro --
Contents --
Chapter 1 Variables and Graphs --
Statistics --
Population and Sample --
Inductive and Descriptive Statistics --
Variables: Discrete and Continuous --
Rounding of Data --
Scientific Notation --
Significant Figures --
Computations --
Functions --
Rectangular Coordinates --
Graphs --
Equations --
Inequalities --
Logarithms --
Properties of Logarithms --
Logarithmic Equations --
Chapter 2 Frequency Distributions --
Raw Data --
Arrays --
Frequency Distributions --
Class Intervals and Class Limits --
Class Boundaries --
The Size, or Width, of a Class Interval --
The Class Mark --
General Rules for Forming Frequency Distributions --
Histograms and Frequency Polygons --
Relative-Frequency Distributions --
Cumulative-Frequency Distributions and Ogives --
Relative Cumulative-Frequency Distributions and Percentage Ogives --
Frequency Curves and Smoothed Ogives --
Types of Frequency Curves --
Chapter 3 The Mean, Median, Mode, and Other Measures of Central Tendency --
Index, or Subscript, Notation --
Summation Notation --
Averages, or Measures of Central Tendency --
The Arithmetic Mean --
The Weighted Arithmetic Mean --
Properties of the Arithmetic Mean --
The Arithmetic Mean Computed from Grouped Data --
The Median --
The Mode --
The Empirical Relation Between the Mean, Median, and Mode --
The Geometric Mean G --
The Harmonic Mean H --
The Relation Between the Arithmetic, Geometric, and Harmonic Means --
The Root Mean Square --
Quartiles, Deciles, and Percentiles --
Software and Measures of Central Tendency --
Chapter 4 The Standard Deviation and Other Measures of Dispersion --
Dispersion, or Variation --
The Range --
The Mean Deviation --
The Semi-Interquartile Range --
The 10-90 Percentile Range --
The Standard Deviation --
The Variance --
Short Methods for Computing the Standard Deviation --
Properties of the Standard Deviation. Charlier's Check --
Sheppard's Correction for Variance --
Empirical Relations Between Measures of Dispersion --
Absolute and Relative Dispersion --
Coefficient of Variation --
Standardized Variable --
Standard Scores --
Software and Measures of Dispersion --
Chapter 5 Moments, Skewness, and Kurtosis --
Moments --
Moments for Grouped Data --
Relations Between Moments --
Computation of Moments for Grouped Data --
Charlier's Check and Sheppard's Corrections --
Moments in Dimensionless Form --
Skewness --
Kurtosis --
Population Moments, Skewness, and Kurtosis --
Software Computation of Skewness and Kurtosis --
Chapter 6 Elementary Probability Theory --
Definitions of Probability --
Conditional Probability --
Independent and Dependent Events --
Mutually Exclusive Events --
Probability Distributions --
Mathematical Expectation --
Relation Between Population, Sample Mean, and Variance --
Combinatorial Analysis --
Combinations --
Stirling's Approximation to n! --
Relation of Probability to Point Set Theory --
Euler or Venn Diagrams and Probability --
Chapter 7 The Binomial, Normal, and Poisson Distributions --
The Binomial Distribution --
The Normal Distribution --
Relation Between the Binomial and Normal Distributions --
The Poisson Distribution --
Relation Between the Binomial and Poisson Distributions --
The Multinomial Distribution --
Fitting Theoretical Distributions to Sample Frequency Distributions --
Chapter 8 Elementary Sampling Theory --
Sampling Theory --
Random Samples and Random Numbers --
Sampling With and Without Replacement --
Sampling Distributions --
Sampling Distribution of Means --
Sampling Distribution of Proportions --
Sampling Distributions of Differences and Sums --
Standard Errors --
Software Demonstration of Elementary Sampling Theory --
Chapter 9 Statistical Estimation Theory --
Estimation of Parameters --
Unbiased Estimates. Efficient Estimates --
Point Estimates and Interval Estimates --
Their Reliability --
Confidence-Interval Estimates of Population Parameters --
Probable Error --
Chapter 10 Statistical Decision Theory --
Statistical Decisions --
Statistical Hypotheses --
Tests of Hypotheses and Significance, or Decision Rules --
Type I and Type II Errors --
Level of Significance --
Tests Involving Normal Distributions --
Two-Tailed and One-Tailed Tests --
Special Tests --
Operating-Characteristic Curves --
the Power of a Test --
p-Values for Hypotheses Tests --
Control Charts --
Tests Involving Sample Differences --
Tests Involving Binomial Distributions --
Chapter 11 Small Sampling Theory --
Small Samples --
Student's t Distribution --
Confidence Intervals --
Tests of Hypotheses and Significance --
The Chi-Square Distribution --
Confidence Intervals for Ï#x83
--
Degrees of Freedom --
The F Distribution --
Chapter 12 The Chi-Square Test --
Observed and Theoretical Frequencies --
Definition of Ï#x87
[sup(2)] --
Significance Tests --
The Chi-Square Test for Goodness of Fit --
Contingency Tables --
Yates' Correction for Continuity --
Simple Formulas for Computing Ï#x87
[sup(2)] --
Coefficient of Contingency --
Correlation of Attributes --
Additive Property of Ï#x87
[sup(2)] --
Chapter 13 Curve Fitting and the Method of Least Squares --
Relationship Between Variables --
Curve Fitting --
Equations of Approximating Curves --
Freehand Method of Curve Fitting --
The Straight Line --
The Method of Least Squares --
The Least-Squares Line --
Nonlinear Relationships --
The Least-Squares Parabola --
Regression --
Applications to Time Series --
Problems Involving More Than Two Variables --
Chapter 14 Correlation Theory --
Correlation and Regression --
Linear Correlation --
Measures of Correlation --
The Least-Squares Regression Lines --
Standard Error of Estimate. Explained and Unexplained Variation --
Coefficient of Correlation --
Remarks Concerning the Correlation Coefficient --
Product-Moment Formula for the Linear Correlation Coefficient --
Short Computational Formulas --
Regression Lines and the Linear Correlation Coefficient --
Correlation of Time Series --
Correlation of Attributes --
Sampling Theory of Correlation --
Sampling Theory of Regression --
Chapter 15 Multiple and Partial Correlation --
Multiple Correlation --
Subscript Notation --
Regression Equations and Regression Planes --
Normal Equations for the Least-Squares Regression Plane --
Regression Planes and Correlation Coefficients --
Standard Error of Estimate --
Coefficient of Multiple Correlation --
Change of Dependent Variable --
Generalizations to More Than Three Variables --
Partial Correlation --
Relationships Between Multiple and Partial Correlation Coefficients --
Nonlinear Multiple Regression --
Chapter 16 Analysis of Variance --
The Purpose of Analysis of Variance --
One-Way Classification, or One-Factor Experiments --
Total Variation, Variation Within Treatments, and Variation Between Treatments --
Shortcut Methods for Obtaining Variations --
Mathematical Model for Analysis of Variance --
Expected Values of the Variations --
Distributions of the Variations --
The F Test for the Null Hypothesis of Equal Means --
Analysis-of-Variance Tables --
Modifications for Unequal Numbers of Observations --
Two-Way Classification, or Two-Factor Experiments --
Notation for Two-Factor Experiments --
Variations for Two-Factor Experiments --
Analysis of Variance for Two-Factor Experiments --
Two-Factor Experiments with Replication --
Experimental Design --
Chapter 17 Nonparametric tests --
Introduction --
The Sign Test --
The Mann-Whitney U Test --
The Kruskal-Wallis H Test --
The H Test Corrected for Ties --
The Runs Test for Randomness. Further Applications of the Runs Test --
Spearman's Rank Correlation --
Chapter 18 Statistical Process Control and Process Capability --
General Discussion of Control Charts --
Variables and Attributes Control Charts --
X-bar and R Charts --
Tests for Special Causes --
Process Capability --
P- and NP-Charts --
Other Control Charts --
Answers to Supplementary Problems --
Appendixes --
I: Ordinates (Y) of the Standard Normal Curve at z --
II: Areas Under the Standard Normal Curve from 0 to z --
III: Percentile Values (t[sub(p)]) for Student's t Distribution with Îư Degrees of Freedom --
IV: Percentile Values (Ï#x87
[sup(2)][sub(p)]) for the Chi-Square Distribution with Îư Degrees of Freedom --
V: 95th Percentile Values for the F Distribution --
VI: 99th Percentile Values for the F Distribution --
VII: Four-Place Common Logarithms --
VIII: Values of e[sup( -λ)] --
IX: Random Numbers --
Index --
A --
B --
C --
D --
E --
F --
G --
H --
I --
K --
L --
M --
N --
O --
P --
Q --
R --
S --
T --
U --
V --
W --
X --
Y --
Z.

✦ Subjects

Mathematical statistics;Outlines and syllabi;Electronic books;Mathematical statistics -- Outlines, syllabi, etc