- F-RV
- definition
- expectation
- variance
- F-statistic
- mean vector
- one-sample
- x2-independence tests
- C-matrix
- σ-field
- t-RV
- Cauchy, particular case
- definition
- expectation
- variance
- p-value
- absolute
- accept-reject algorithm
- >algorithm
- beta distribution
- continuous RV
- discrete RV
- normal distribution
- Anscombe warnings
- arithmetic
- Banach Match Box Problem
- bar plot
- stacked
- Bayes Factors
- Bayes formula
- Bayesian
- likelihood principle
- paradigm
- sampling distribution
- sufficiency
- Bayesian Probabilities
- Birthday problem
- Coupon collector
- Laplace Probability of Sunrise
- Behrens-Fisher Problem
- beta function
- definition
- beta RV
- definition
- mean
- variance
- various parameters
- BIBD
- ANOVA
- decomposition
- model
- binomial RV
- MPbinomial
- Bayesian estimation
- CDA
- central term
- definition
- expectation
- binomial RV (continued)
- exponential family
- hessian function
- likelihood function
- LR test
- minimal sufficient statistic
- MLE
- MP test
- Poisson approximation
- prior
- continuous
- discrete
- risk functions
- simulation
- variance
- Wilson confidence interval
- biplot
- quadratic decomposition
- singular value decomposition
- Birthday Problem
- block design
- ANOVA
- decomposition
- effects model
- incomplete see also BIBD
- model validation
- randomization
- bootstrap
- bootstrap algorithm
- Borel σ-Field
- boxplot
- notches
- calculus preliminaries
- canonical correlation
- association measure
- canonical correlations
- properties
- categorical data
- categorical data analysis see also CDA
- Cauchy RV
- definition
- hessian function
- CDA
- graphical methods
- overdispersion
- Central Limit Theorem
- de Moivre-Laplace
- Liapounov
- Lindeberg-Feller
- normal sample
- Chapman-Kolmogorov equation
- characteristic function
- binomial
- chi-square
- discrete uniform
- exponential
- gamma
- geometric
- multivariate normal
- negative binomial RV
- normal
- Poisson
- power series distribution
- uniform
- Chernoff faces
- chi-square RV
- F-relationship
- definition
- expectation
- variance
- classification
- complete statistic
- definition
- completely randomized design see also CRD
- complex numbers
- condition indices
- control programming
- condition number
- Convergence
- rth mean
- almost sure
- distribution
- probability
- correlation matrix
- countably additive probability measure
- Coupon Collectors Problem
- Cramér-Rao Inequality
- CRD
- ANOVA
- contrasts
- Dunnett's multiple testing
- graphical analysis
- model
- effects
- means
- model validation
- multiple testing
- randomization
- sum of squares
- credible interval
- highest posterior
- cumulative distribution function
- binomial
- discrete uniform
- geometric
- uniform RV
- data
- basics
- clipboard
- complete
- complex formats
- display
- foreign/external
- handling
- import
- incomplete
- manipulation
- missing
- names
- text
- data sets
- antique
- on www
- datasets
- R package
- date
- depth
- design matrix
- deviance statistic
- LR Model
- DFBETAS
- DFFITS
- digraph
- Ehrenfest
- Dirichlet RV
- definition
- discrete uniform
- definition
- expectation
- sufficient statistic
- variance
- discriminant analysis
- discriminant (linear) function
- DOE
- blocking
- randomization
- replication
- dot chart
- Dvoretzky-Kiefer-Wolfowitz inequality
- EDA
- regression models
- summaries
- Ehrenfest model
- elementary RV
- EM Algorithm
- 2-steps
- 5-steps
- E-step
- i.e, Expectation-Maximization Algorithm
- M-step
- multinomial RV
- application in genetics
- Q-function
- expectation
- Experimental Designs see also Design of Experiments, DOE
- exponential family
- binomial
- definition
- GLM
- normal
- sufficient statistic
- exponential RV
- UMPExponential
- Bayesian estimation
- definition
- expectation
- memoryless property
- prior
- exponential RV (continued)
- gamma
- sufficient statistic
- UMP test
- variance
- extended RV
- factor analysis
- communality
- loadings
- MLE method
- oblique rotation
- orthogonal
- principal component method
- principal factor method
- quartimax rotation
- spectral decomposition
- varimax rotation
- factorial design
- blocking
- ANOVA
- decomposition
- two-factorial model
- three factorial
- ANOVA
- decomposition
- model
- two factorial
- ANOVA
- decomposition
- hypotheses testing
- model
- model validation
- field
- finite dimensional distributions
- finitely additive probability measure
- Fisher information
- Poisson
- random sample
- Fisher score function
- five numbers
- four-fold plot
- FWER, family-wise error rate
- Gamblers walk
- gamma RV
- definition
- expectation
- Metropolis-Hastings algorithm
- minimal sufficient statistic
- MLE
- variance
- various density plots
- generalized linear model see also GLM
- geometric RV
- expectation
- tail probabilities
- variance
- Gibbs sampler
- exponential product given sum
- exponential sum
- random points in circle
- Glivenko-Cantelli theorem
- GLSD
- ANOVA
- decomposition
- model
- graeco latin square design see also GLSD
- group
- definition
- family
- transformation
- handling trigonometry
- hat matrix
- MLRM
- hinges
- histogram
- bins
- embossing
- Freedman-Diaconis formula
- Scotts formula
- Sturges formula
- with boxplot
- Hotelling's T2
- definition
- properties
- testing one sample
- testing two samples
- hypergeometric RV
- definition
- expectation
- variance
- hypothesis
- composite
- simple
- Type I error
- Type II error
- independence of sub-vectors
- x2 approximate test
- likelihood ratio test
- independent events
- inequality
- Chebyshev
- Jensen
- Markov
- infimum
- influence point
- MLRM
- influence points
- Cook's distance
- inter quartile range
- IRLS
- algorithm
- iterated reweighted least squares
- jackknife
- bias corrected estimator
- pseudo values
- variance
- kernel
- biweight
- Epanechnikov
- Gaussian
- triangle
- triweight
- uniform
- Kolmogorov's consistency theorem
- Kolmogorov-Smirnov test
- one-sample
- two-sample
- Kruskal-Wallis test
- kurtosis
- Laplace Probability of Sunrise
- latin square design see also LSD
- Lehmann-Scheffé Theorem
- Leonard, T.
- letter values
- leverage
- definition
- leverage point
- MLRM
- likelihood function
- binomial sample
- definition
- normal sample
- likelihood principle
- Bayesian
- limit infimum
- limit supremum
- Linear Regression Model
- simple
- location family
- definition
- location-scale family
- definition
- logistic regression model see also LR Model
- loss function
- absolute error loss
- definition
- squared error loss
- LR Model
- confidence intervals
- error
- Fisher information
- likelihood function
- model selection
- normal equation
- odds ratio
- score function
- variance-covariance matrix estimation
- LR residuals
- deviance
- Pearson
- standardized Pearson
- LR test
- binomial
- likelihood ratio test
- normal
- LR test (continued)
- one-sample
- two-sample
- LSD
- ANOVA
- decomposition
- model
- randomization
- Mahalanobis distance
- biplot
- Mann-Whitney test
- MANOVA
- between and within sum of squares
- Lawley-Hotelling
- Pillai
- Roy
- Wilks
- Markov Chain
- canonical decomposition
- fundamental matrix
- regular
- Markov chain
- computational statistics
- definition
- digraph
- ergodic
- irrreducible
- mean recurrence time
- stationary distribution
- matrices
- matrix
- arithmetic
- determinant
- inverses
- mean vector
- measure,
- median absolute deviation
- median polish
- algorithm
- Metropolis-Hastings
- algorithm
- Metropolis-Hastings acceptance probability
- Metropolis-Hastings algorithm
- binomial proportion
- gamma distribution
- random walk
- Michelson-Morley experiment
- minimal field
- minimal sufficient statistic
- binomial sample
- definition
- gamma sample
- missing data
- MLE
- as a bird eye
- Cauchy
- normal
- size of binomial
- solution of score function
- MLRM
- 3-d plots
- AIC
- ANOVA
- confidence intervals
- contour plot
- hat matrix
- influence point
- least-squares estimator
- leverage point
- matrix of scatter plots
- model diagnostics
- prediction interval
- model selection
- backward elimination
- algorithm
- forward selection
- algorithm
- problem
- moment generating function
- binomial
- chi-square
- discrete uniform
- exponential
- gamma
- geometric
- multivariate normal
- negative binomial RV
- normal
- Poisson
- uniform
- monte carlo integration
- mosaic plot
- MP test
- binomial
- normal
- multicollinearity
- eigen system analysis
- variance inflation factor (VIF)
- multinomial random vector
- CDA
- covariance
- definition
- expectation
- variance
- multiple comparison
- Bonferroni
- CRD
- Dunnett
- CRD
- Holm
- CRD
- Tukeys HSD
- CRD
- multiple linear regression model, see also MLRM 421
- multivariate t
- definition
- multivariate data
- graphical methods
- multivariate normal
- bivariate densities
- definition
- definition, again
- Multivariate Statistics
- negative binomial RV
- definition
- expectation
- tail probability
- variance
- Neyman Factorization Theorem
- Neyman-Pearson lemma
- nominal data
- non-parametric technique
- non-parametric test
- Siegel-Tukey
- noncentral distributions
- F
- t
- chi-square
- nonparametric test
- Kolmogorov-Smirnov
- Kruskal-Wallis
- Mann-Whitney
- Wald-Wolfowitz
- Wilcoxon signed-rank
- one-sample
- two-sample
- normal RV
- t-RV relationship
- MPNormal
- UMPNormal
- Bayesian estimation
- chi-square relationship
- curved
- definition
- exponential family
- hessian function
- likelihood function
- MLE
- MP test
- prior
- discrete
- informative
- sample mean
- sampling
- sampling median
- sufficient statistic
- odds ratio see also OR
- OR
- cross-product ratio
- ordinal data
- Pareto chart,
- cumulative frequency
- frequency
- PCA
- Pareto prior
- Pascal's triangle
- PCA
- linear regression
- principal component
- uncorrelated
- sample correlation matrix
- permutation
- pie chart
- Pitman family
- definition
- Poisson regression
- x2goodness-of-fit
- likelihood function
- model
- Pearson residuals
- rate ratio
- Poisson RV
- MPPoisson
- Bayesian estimation
- Bayesian sampling distribution
- CDA
- death by horse kick
- definition
- expectation
- hessian function
- MLE
- prior
- continuous
- discrete
- sampling mean
- sufficient statistic
- UMVUE
- variance
- various λ
- pooled covariance matrix
- prediction matrix
- principal component analysis see also PCA
- prior
- conjugate
- probit regression
- likelihood function
- model
- model selection
- Quesenberry-Hurst simultaneous confidence interval
- R
- Why?
- books
- help system
- install
- mailing list
- open source
- packages
- scripts
- session
- website
- R interface
- random number generator see also RNG
- random numbers
- pseudo
- random sample
- random variable
- Rao-Blackwell theorem
- residuals
- for identifying violations
- normal probability plot
- PRESS
- properties
- R-Student
- semi-Studentized
- standardized
- useful plots
- resistant line
- algorithm
- RNG
- LCG algorithm
- linear congruential generator (LCG)
- middle-square method
- rootogram
- rounding numbers
- run chart
- sample space
- scale family
- definition
- scatter plot
- matrix of scatter plots
- score function
- binomial
- Cauchy
- normal
- Poisson
- sampling variance
- screeplot
- sequence, limit
- set algebra
- Siegel-Tukey test
- siegel.tukey
- simple linear regression model, see also SLRM 402
- simple RV,
- Simpson's paradox
- simulation
- binomial RV algorithm
- continuous distributions
- exponential
- uniform
- discrete distributions
- arbitrary
- binomial
- geometric
- Poisson
- uniform
- inverse CDF method
- limit theorems
- CLT
- uniform minima
- WLLN
- Poisson RV algorithm
- probability problems
- birthday match
- birthday match algorithm
- Buffons needle
- coupon collector
- coupon collector algorithm
- match box algorithm
- match box problem
- random permutation
- algorithm
- skewness
- Bowley measure
- SLRM
- ANOVA
- assumptions
- coefficient of determination
- R2
- Adjusted R2
- confidence intervals
- fitting
- least-squares estimate
- model
- model validation
- origin regression
- prediction
- residuals
- sorting data
- special functions
- spine plot
- state
- absorbing
- accessible
- aperiodic
- communicate
- first passage time
- mean
- period
- transient
- statistic
- definition
- examples
- sample moments
- statistical functional
- statistical hypothesis
- stem-and-leaf
- algorithm
- back to back
- trailing digits
- Stochastic Process
- sufficient statistic
- definition
- discrete uniform
- exponential RV
- normal sample
- Poisson RV
- summary functions
- summary statistics
- supremum
- test
- critical region
- hypothesis
- level of significance
- likelihood ratio test
- most powerful see also MP test
- multiple comparison
- power
- example
- size
- unbiased
- testing mean vector
- cross-products
- Hotelling's T2
- one sample
- known Σ
- unknown Σ
- sum squares
- two sample
- testing variance-covariance matrix
- F
- k-sample
- x2
- one sample
- sphericity
- Thirteenth of a Month, Probability
- time
- TPM
- m-step
- Ehrenfest
- gambler's walk
- transformation
- linearization
- power transformation
- Box-Cox
- variance stabilization
- transition probability matrix see also TPM
- trimean
- Tukey's EDA
- Tukey's honestly significant differences (HSD)
- UMP test
- Karlin and Rubin theorem
- non-existence
- normal
- unbiased estimator
- definition
- UMVUE
- uniform prior
- binomial distribution
- birthday problem
- uniform RV
- Bayesian estimation
- convolution
- definition
- expectation
- variance
- variance-covariance matrix
- to correlation matrix
- vector
- arithmetic
- inner product
- introduction
- norm
- orthogonal
- projection
- sum
- vectors
- Wald-Wolfowitz test
- ww.test
- example
- run
- weak law of large numbers
- simulation
- Wilcoxon signed-rank test
- one-sample
- large sample approximation
- statistic
- two-sample
- Wilson confidence interval
- Wishart RV
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