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The Resource Statistics, Murray R. Spiegel, Larry J. Stephens

Statistics, Murray R. Spiegel, Larry J. Stephens

Label
Statistics
Title
Statistics
Statement of responsibility
Murray R. Spiegel, Larry J. Stephens
Title variation
Schaum's outlines. Statistics
Creator
Contributor
Subject
Genre
Language
eng
Summary
With 508 solved problems, this book includes: information on frequency distribution, elementary probability theory, elementary sampling theory, statistical decision theory, and analysis of variance; and concise explanation of all course concepts
Related
Member of
Cataloging source
YDXCP
http://library.link/vocab/creatorName
Spiegel, Murray R
Dewey number
519.5
Illustrations
illustrations
Index
index present
LC call number
QA276.19
LC item number
.S65 2014
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
Stephens, Larry J
Series statement
Schaum's outlines
http://library.link/vocab/subjectName
  • Mathematical statistics
  • Mathematical statistics
  • Statistics
Label
Statistics, Murray R. Spiegel, Larry J. Stephens
Link
Instantiates
Publication
Note
  • "508 fully solved problems,25 problem-solving videos online."--Cover
  • Includes index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • 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 -- 2. Frequency distributions -- Raw data -- Arrays -- 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 -- 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 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 measure of central tendency -- 4. The standard deviation and other measures of dispersion -- Dispersion and 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 -- Empirical relations between measures of dispersion -- Absolute and relative dispersion -- Coefficient of variation -- Standardized variable -- Standard scores -- Software and measures of dispersion -- 5. Moments, skewness, and kurtosis -- Moments for grouped data -- Relations between moments -- Computation of moments for grouped data -- Charlier's check and Sheppard's corrections -- Moments in dimensionless form -- Population moments, skewness, and kurtosis -- Software computation of skewness and kurtosis -- 6. Elementary probability theory -- Conditional probability -- Independent and dependent events -- Mutually exclusive events -- Probability distributions -- Mathematical expectation -- Relation between population, sample mean, and variance -- Combinatorial analysis -- Stirling's approximation to n! -- Relation of probability to point set theory -- Euler or Venn diagrams and probability --
  • 7. The binomial, normal, and poisson distributions -- Relation between the binomial and normal distributions -- Relations between the binomial and poisson distributions -- The multinomial distribution -- Fitting theoretical distributions to sample frequency distributions -- 8. Elementary 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 -- 9. Statistical estimation theory -- Estimation of parameters -- Unbiased estimates -- Efficient estimates -- Point estimates and interval estimates -- Reliability -- Confidence-interval estimates of population parameters -- Probable error -- 10. Statistical decision theory -- Statistical hypotheses -- Tests of hypotheses and significance, or decision rules -- Errors -- Level of significance -- Tests involving normal distributions -- Operating-characteristic curves -- Control charts -- Tests involving sample differences -- Test involving binomial distributions -- 11. Small sampling theory -- Student's t distribution -- Confidence intervals -- tests of hypotheses and significance -- The chi-square distribution -- Degrees of freedom -- The F distribution -- 12. The chi-square test -- Observed and theoretical frequencies -- Significance tests -- The chi-square test for goodness of fit -- Contingency tables -- Yates' correction for continuity -- Coefficient of contingency -- Correlation of attributes --
  • 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 -- 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 -- Product-moment formula for the linear -- 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 -- 15. Multiple and partial 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 -- More than three variables -- Partial correlation -- Relationships between multiple and partial correlation -- Coefficients -- Nonlinear multiple regression -- 16. 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 off 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 -- Two-factor experiments with replication -- Experimental design -- 17. Nonparametric tests -- The sign test -- The Mann-Whitney U test -- The Kruskal-Wallis H test -- The H test corrected for ties -- The Runs test for randomness -- Spearman's rank correlations -- 18. Statistical process control and process capability -- Variables and attributes control charts -- X-bar and R charts -- Tests for special causes -- Process capability -- P- and NP-charts
  • Variables and graphs -- Frequency distributions -- The mean, median, mode, and other measures of central tendency -- The standard deviation and other measures of dispersion -- Moments, skewness, and kurtosis -- Elementary probability theory -- The binomial, normal, and Poisson distributions -- Elementary sampling theory -- Statistical estimation theory -- Statistical decision theory -- Small sampling theory -- The chi-square test -- Curve fitting and the method of least squares -- Correlation theory -- Multiple and partial correlation -- Analysis of variance -- Nonparametric tests -- Statistical process control and process capability -- Answers to supplementary problems -- Appendixes
Dimensions
28 cm.
Edition
Fifth edition.
Extent
xix, 577 pages
Isbn
9780071822527
Lccn
2010011629
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • ocn857214767
  • (OCoLC)857214767
  • 1403123
Label
Statistics, Murray R. Spiegel, Larry J. Stephens
Link
Publication
Note
  • "508 fully solved problems,25 problem-solving videos online."--Cover
  • Includes index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • 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 -- 2. Frequency distributions -- Raw data -- Arrays -- 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 -- 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 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 measure of central tendency -- 4. The standard deviation and other measures of dispersion -- Dispersion and 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 -- Empirical relations between measures of dispersion -- Absolute and relative dispersion -- Coefficient of variation -- Standardized variable -- Standard scores -- Software and measures of dispersion -- 5. Moments, skewness, and kurtosis -- Moments for grouped data -- Relations between moments -- Computation of moments for grouped data -- Charlier's check and Sheppard's corrections -- Moments in dimensionless form -- Population moments, skewness, and kurtosis -- Software computation of skewness and kurtosis -- 6. Elementary probability theory -- Conditional probability -- Independent and dependent events -- Mutually exclusive events -- Probability distributions -- Mathematical expectation -- Relation between population, sample mean, and variance -- Combinatorial analysis -- Stirling's approximation to n! -- Relation of probability to point set theory -- Euler or Venn diagrams and probability --
  • 7. The binomial, normal, and poisson distributions -- Relation between the binomial and normal distributions -- Relations between the binomial and poisson distributions -- The multinomial distribution -- Fitting theoretical distributions to sample frequency distributions -- 8. Elementary 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 -- 9. Statistical estimation theory -- Estimation of parameters -- Unbiased estimates -- Efficient estimates -- Point estimates and interval estimates -- Reliability -- Confidence-interval estimates of population parameters -- Probable error -- 10. Statistical decision theory -- Statistical hypotheses -- Tests of hypotheses and significance, or decision rules -- Errors -- Level of significance -- Tests involving normal distributions -- Operating-characteristic curves -- Control charts -- Tests involving sample differences -- Test involving binomial distributions -- 11. Small sampling theory -- Student's t distribution -- Confidence intervals -- tests of hypotheses and significance -- The chi-square distribution -- Degrees of freedom -- The F distribution -- 12. The chi-square test -- Observed and theoretical frequencies -- Significance tests -- The chi-square test for goodness of fit -- Contingency tables -- Yates' correction for continuity -- Coefficient of contingency -- Correlation of attributes --
  • 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 -- 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 -- Product-moment formula for the linear -- 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 -- 15. Multiple and partial 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 -- More than three variables -- Partial correlation -- Relationships between multiple and partial correlation -- Coefficients -- Nonlinear multiple regression -- 16. 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 off 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 -- Two-factor experiments with replication -- Experimental design -- 17. Nonparametric tests -- The sign test -- The Mann-Whitney U test -- The Kruskal-Wallis H test -- The H test corrected for ties -- The Runs test for randomness -- Spearman's rank correlations -- 18. Statistical process control and process capability -- Variables and attributes control charts -- X-bar and R charts -- Tests for special causes -- Process capability -- P- and NP-charts
  • Variables and graphs -- Frequency distributions -- The mean, median, mode, and other measures of central tendency -- The standard deviation and other measures of dispersion -- Moments, skewness, and kurtosis -- Elementary probability theory -- The binomial, normal, and Poisson distributions -- Elementary sampling theory -- Statistical estimation theory -- Statistical decision theory -- Small sampling theory -- The chi-square test -- Curve fitting and the method of least squares -- Correlation theory -- Multiple and partial correlation -- Analysis of variance -- Nonparametric tests -- Statistical process control and process capability -- Answers to supplementary problems -- Appendixes
Dimensions
28 cm.
Edition
Fifth edition.
Extent
xix, 577 pages
Isbn
9780071822527
Lccn
2010011629
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • ocn857214767
  • (OCoLC)857214767
  • 1403123

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