Statistics /
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.--
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلفون آخرون: | |
| التنسيق: | كتاب |
| اللغة: | الإنجليزية |
| منشور في: |
New York :
McGraw-Hill,
2014
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| الطبعة: | 5th ed |
| سلاسل: | Schaum's outline series.
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| الموضوعات: | |
| الوصول للمادة أونلاين: | Contributor biographical information Publisher description |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
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جدول المحتويات:
- 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.