| Description |
1 online resource |
| Contents |
Cover -- Title Page -- Copyright Page -- Dedication -- Preface to the Sixth Edition -- Preface to the Fourth Edition -- Preface to the Third Edition -- Preface to the Second Edition -- 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 -- Dot Plots and Box Plots -- 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 |
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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'ts Distribution -- Confidence Intervals -- Tests of Hypotheses and Significance -- The Chi-Square Distribution -- Confidence Intervals for s -- Degrees of Freedom -- The F Distribution -- Chapter 12 The Chi-Square Test -- Observed and Theoretical Frequencies -- Definition of X2 -- Significance Tests -- The Chi-Square Test for Goodness of Fit -- Contingency Tables -- Yates' Correction for Continuity -- Simple Formulas for Computing X2 -- Coefficient of Contingency -- Correlation of Attributes -- Additive Property of X2 -- 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 |
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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 |
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The Mann-Whitne 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 (tp) for Student's t Distribution with Degrees of Freedom -- IV Percentile Values (X2p) for the Chi-Square Distribution with 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-? -- 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 |
| Summary |
Tough Test Questions? Missed Lectures? Not Enough Time? Textbook too pricey? Fortunately, there's Schaum's. This all-in-one-package includes more than 500 fully-solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 25 detailed videos featuring math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. Helpful tables and illustrations increase your understanding of the subject at hand. Schaum's Outline of Geometry, Sixth Edition features: * Over 500 problems, solved step by step * Updated content to match the latest curriculum * An accessible format for quick and easy review * Clear explanations for key concepts * Access to revised Schaums.com website and new app with access to 25 problem-solving videos, and more |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Mathematical statistics -- Outlines, syllabi, etc
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Mathematical statistics -- Problems, exercises, etc
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Mathematical statistics.
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STUDY AIDS / Tests.
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Mathematical statistics
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| Genre/Form |
Outlines and syllabi
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Problems and exercises
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| Form |
Electronic book
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| Author |
Stephens, Larry J., author
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| ISBN |
9781260011470 |
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126001147X |
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