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In This Chapter
-
Statistical Methods for Data
Analytics
- Introduction
- Discrete Distributions
- Bernoulli Distribution
- Beta Binomial Distribution
- Beta Pascal Distribution
- Binomial Distribution
- Discrete Weibull Distribution
- Geometric Distribution
- Hypergeometric Distribution
- Negative Binomial Distribution
- Poisson Distribution
- Rectangular (Discrete Uniform) Distribution
- Continuous Distributions
- Arcsin Distribution
- Beta Distribution
- Cauchy Distribution
- Chi Distribution
- Chi-Square Distribution
- Erlang Distribution
- Exponential Distribution
- Extreme-Value Distribution
- F Distribution
- Gamma Distribution
- Half-Normal Distribution
- Laplace (Double Exponential) Distribution
- Logistic Distribution
- Lognormal Distribution
- Noncentral Chi-Square Distribution
- Noncentral F Distribution
- Noncentral t Distribution
- Normal Distribution
- Pareto Distribution
- Rayleigh Distribution
- t Distribution
- Triangular Distribution
- Uniform Distribution
- Weibull Distribution
- Distribution Parameters
- Average
- Variance
- Standard Deviation
- Standard Error
- Skewness
- Standardized Skewness
- Kurtosis
- Standardized Kurtosis
- Weighted Average
- Estimation and Testing
- 100(1 − α)% Confidence Interval for Mean
- 100(1 − α)% Confidence Interval for Variance
- 100(1 − α)% Confidence Interval for Difference in Means
- 100(1 − α)% Confidence Interval for Ratio of Variances
- Normal Probability Plot
- Comparison of Poisson Rates
- Distribution Functions and Parameter Estimation
- Bernoulli
- Binomial
- Discrete Uniform
- Geometric
- Negative Binomial
- Poisson
- Beta
- Chi-Square
- Erlang
- Exponential
- F
- Gamma
- Lognormal
- System Displays
- Normal
- Student’s t
- Triangular
- Uniform
- Weibull
- Chi-Square Test for Distribution Fitting
- Kolmogorov–Smirnov Test
- ANOVA (Analysis of Variance)
- Tukey Interval
- Scheffe Interval
- Cochran C-Test
- Bartlett Test
- Hartley’s Test
- Kruskal–Wallis Test
- Freidman Test
- Regression
- Notations
- Regression Statistics
- Predictions
- Nonlinear Regression
- Ridge Regression
- Quality Control
- Subgroup Statistics
- X-Bar Charts
- Capability Ratios
- R Charts
- S Charts
- C Charts
- U Charts
- P Charts
- NP Charts
- CuSum Chart for the Mean
- Multivariate Control Charts
- Time Series Analysis
- Notations
- Autocorrelation at Lag k
- Partial Autocorrelation at Lag k
- Cross-Correlation at Lag k
- Box-Cox
- Periodogram (Computed Using Fast Fourier Transform)
- Categorical Analysis
- Notations
- Totals
- Chi-Square
- Fisher’s Exact Test
- Lambda
- Uncertainty Coefficient
- Somer’s D
- Eta
- Contingency Coefficient
- Cramer’s V
- Conditional Gamma
- Pearson’s r
- Kendall’s Tau b
- Tau C
- Probability Terminology
- Basic Probability Principles
- Random Variable
- Mean Value x ^ or Expected Value μ
- Discrete Distribution Formulas
- Bernoulli Distribution
- Beta Binomial Distribution
- Beta Pascal Distribution
- Binomial Distribution
- Discrete Weibull Distribution
- Geometric Distribution
- Hypergeometric Distribution
- Negative Binomial Distribution
- Poisson Distribution
- Rectangular (Discrete Uniform) Distribution
- Continuous Distribution Formulas
- Arcsin Distribution
- Beta Distribution
- Cauchy Distribution
- Chi Distribution
- Chi-Square Distribution
- Erlang Distribution
- Exponential Distribution
- Extreme-Value Distribution
- F Distribution
- Gamma Distribution
- Half-Normal Distribution
- Laplace (Double Exponential) Distribution
- Logistic Distribution
- Lognormal Distribution
- Noncentral Chi-Square Distribution
- Noncentral F Distribution
- Noncentral t Distribution
- Normal Distribution
- Pareto Distribution
- Rayleigh Distribution
- t Distribution
- Triangular Distribution
- Uniform Distribution
- Weibull Distribution
- Variate Generation Techniques 1
- References
Abstract
This chapter presents a collection of statistical methods for data analytics. The collection includes statistical distributions. Discrete distributions and continuous distributions are included in the collection.
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