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Topics referred to by the same term
calculus Multivariate function Multivariate polynomial Multivariate interpolation Multivariate optimization Multivariate cryptography Multivariate division
Multivariate
Generalization of the one-dimensional normal distribution to higher dimensions
In probability theory and statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization
Multivariate normal distribution
Multivariate_normal_distribution
Simultaneous observation and analysis of more than one outcome variable
Multivariate statistics is a subdivision of statistics encompassing the simultaneous observation and analysis of more than one outcome variable, i.e.,
Multivariate_statistics
Procedure for comparing multivariate sample means
In statistics, multivariate analysis of variance (MANOVA) is a procedure for comparing multivariate sample means. As a multivariate procedure, it is used
Multivariate analysis of variance
Multivariate_analysis_of_variance
Calculus of functions of several variables
Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to functions of several variables: the differentiation
Multivariable_calculus
Species of beetle
often invades homes during October to overwinter. Other names include multivariate, southern, Japanese, and pumpkin ladybird. Like other coccinellid beetles
Harmonia_axyridis
Thematic map visualizing multiple variables
A bivariate map or multivariate map is a type of thematic map that displays two or more variables on a single map by combining different sets of symbols
Multivariate_map
Middle quantile of a data set or probability distribution
Niinimaa, A., and H. Oja. "Multivariate median." Encyclopedia of statistical sciences (1999). Mosler, Karl. Multivariate Dispersion, Central Regions
Median
Statistical linear model
The general linear model or general multivariate regression model is a compact way of simultaneously writing several multiple linear regression models
General_linear_model
Involving a single variable
involving more than one variable are multivariate. In some cases the distinction between the univariate and multivariate cases is fundamental; for example
Univariate
Interpolation on functions of more than one variable
In numerical analysis, multivariate interpolation or multidimensional interpolation is interpolation on multivariate functions, having more than one variable
Multivariate_interpolation
Field of asymmetric cryptographic primitives
Multivariate cryptography is the generic term for asymmetric cryptographic primitives based on multivariate polynomials over a finite field F {\displaystyle
Multivariate_cryptography
Multivariable generalization of the Student's t-distribution
In statistics, the multivariate t-distribution (or multivariate Student distribution) is a multivariate probability distribution. It is a generalization
Multivariate_t-distribution
Test a component of a marketing campaign
In marketing, multivariate testing or multi-variable testing techniques apply statistical hypothesis testing on multi-variable systems, typically consumers
Multivariate testing in marketing
Multivariate_testing_in_marketing
Society of Multivariate Experimental Psychology (SMEP) is a small academic organization of research psychologists who have interests in multivariate statistical
Society of Multivariate Experimental Psychology
Society_of_Multivariate_Experimental_Psychology
Sequence of data points over time
analysis may also be divided into linear and non-linear, and univariate and multivariate. A time series is one type of panel data. Panel data is the general class
Time_series
Compressed sensing spectroscopic technique
Multivariate optical computing, also known as molecular factor computing, is an approach to the development of compressed sensing spectroscopic instruments
Multivariate optical computing
Multivariate_optical_computing
Type of probability distribution
Hotelling's T-squared distribution (T2), proposed by Harold Hotelling, is a multivariate probability distribution that is tightly related to the F-distribution
Hotelling's T-squared distribution
Hotelling's_T-squared_distribution
Science of extracting information from chemical systems by data-driven means
methods frequently employed in core data-analytic disciplines such as multivariate statistics, applied mathematics, and computer science, in order to address
Chemometrics
Association of one output to each input
whether 0 belongs to its domain of definition (see Halting problem). A multivariate function, multivariable function, or function of several variables is
Function_(mathematics)
Type of mathematical expression
polynomial, a polynomial in more than one indeterminate is called a multivariate polynomial. A polynomial with two indeterminates is called a bivariate
Polynomial
Topics referred to by the same term
Multivariate testing is multivariate hypothesis testing. Multivariate testing may also refer to: Multivariate statistics Multivariate testing in marketing
Multivariate testing (disambiguation)
Multivariate_testing_(disambiguation)
Type of probability distribution
on the same probability space, the joint probability distribution or multivariate probability distribution for X,Y,… is a probability distribution that
Joint probability distribution
Joint_probability_distribution
Probability distribution
family of continuous multivariate probability distributions parameterized by a vector α of positive reals. It is a multivariate generalization of the
Dirichlet_distribution
Experiment methodology
variant B, and to determine which of the variants is more effective. Multivariate testing or multinomial testing is similar to A/B testing but may test
A/B_testing
Extension to cover cases with multiple dependent variables
Multivariate analysis of covariance (MANCOVA) is an extension of analysis of covariance (ANCOVA) methods to cover cases where there is more than one dependent
Multivariate analysis of covariance
Multivariate_analysis_of_covariance
In internet marketing, cultural multivariate testing is multivariate testing performed on an international website in each geographically distinct market
Cultural_multivariate_testing
Concept in probability theory
The multivariate stable distribution is a multivariate probability distribution that is a multivariate generalisation of the univariate stable distribution
Multivariate stable distribution
Multivariate_stable_distribution
Probability distribution
In the mathematical theory of probability, multivariate Laplace distributions are extensions of the Laplace distribution and the asymmetric Laplace distribution
Multivariate Laplace distribution
Multivariate_Laplace_distribution
In statistics and econometrics, the multivariate probit model is a generalization of the probit model used to estimate several correlated binary outcomes
Multivariate_probit_model
A multivariate optical element (MOE), is the key part of a multivariate optical computer; an alternative to conventional spectrometry for the chemical
Multivariate_optical_element
Non-parametric regression technique
In statistics, multivariate adaptive regression splines (MARS) is a form of regression analysis introduced by Jerome H. Friedman in 1991. It is a non-parametric
Multivariate adaptive regression spline
Multivariate_adaptive_regression_spline
Chinese mathematician and statistician (born 1940)
helped to develop generalized multivariate analysis, which extends classical multivariate analysis beyond the multivariate normal distribution to more general
Fang_Kaitai
Concept in statistics mathematics
for multivariate data would be an important addition to multivariate statistics. Based on research carried out in the 1990s and 2000s, multivariate kernel
Multivariate kernel density estimation
Multivariate_kernel_density_estimation
The multivariate ENSO index, abbreviated as MEI, is a method used to characterize the intensity of an El Niño Southern Oscillation (ENSO) event. Given
Multivariate_ENSO_index
Subset of artificial intelligence
trick to implicitly map input variables to higher-dimensional space. Multivariate linear regression extends the concept of linear regression to handle
Machine_learning
In statistics, a multivariate Pareto distribution is a multivariate extension of a univariate Pareto distribution. There are several different types of
Multivariate Pareto distribution
Multivariate_Pareto_distribution
Academic journal
Journal of Multivariate Analysis is a monthly peer-reviewed scientific journal that covers applications and research in the field of multivariate statistical
Journal of Multivariate Analysis
Journal_of_Multivariate_Analysis
How many standard deviations apart from the mean an observed datum is
test-takers who received lower scores than students A and B. "For some multivariate techniques such as multidimensional scaling and cluster analysis, the
Standard_score
In statistics, the multivariate Behrens–Fisher problem is the problem of testing for the equality of means from two multivariate normal distributions
Multivariate Behrens–Fisher problem
Multivariate_Behrens–Fisher_problem
Family of distributions that generalize the multivariate normal distribution
member of a broad family of probability distributions that generalize the multivariate normal distribution. In the simplified two and three dimensional case
Elliptical_distribution
Multivariate generalization of the gamma function
In mathematics, the multivariate gamma function Γp is a generalization of the gamma function. It is useful in multivariate statistics, appearing in the
Multivariate_gamma_function
American psychologist
of the widely used textbook Using Multivariate Statistics with Linda S. Fidell. Her research has covered multivariate analysis, psychophysics, ethics in
Barbara_Tabachnick
Academic journal
Multivariate Behavioral Research is a peer-reviewed academic journal published by Taylor & Francis Group on behalf of the Society of Multivariate Experimental
Multivariate Behavioral Research
Multivariate_Behavioral_Research
Unit of information
Regression validation Mixed effects models Simultaneous equations models Multivariate adaptive regression splines (MARS) Template:Least squares and regression
Data
Statistical relationship
variance) is only a sufficient statistic if the data are drawn from a multivariate normal distribution. As a result, the Pearson correlation coefficient
Correlation
Continuous probability distribution
In probability theory and statistics, the logistic distribution is a continuous probability distribution. Its cumulative distribution function is the logistic
Logistic_distribution
Statistical modeling method
probability distribution of all of these variables, which is the domain of multivariate analysis. A generalization of linear regression is found in nonlinear
Linear_regression
Discrete probability distribution
number of marbles of each color in the sample (k1, k2,..., kc) has the multivariate hypergeometric distribution: Pr ( X 1 = k 1 , … , X c = k c ) = ∏ i =
Hypergeometric_distribution
Mathematical construct in computer algebra
projections or rational maps. Gröbner basis computation can be seen as a multivariate, non-linear generalization of both Euclid's algorithm for computing polynomial
Gröbner_basis
Type of web page
pass information about something Multivariate testing in marketing – Test a component of a marketing campaign Multivariate landing page optimization – Test
Landing_page
Probability distribution
) T {\displaystyle X=(X_{1},\ldots ,X_{k})^{T}} is said to have the multivariate Cauchy distribution if every linear combination of its components Y =
Cauchy_distribution
Numerical measure of a statistical relationship between variables
data set of observations, often called a sample, or two components of a multivariate random variable with a known distribution.[citation needed] Several types
Correlation_coefficient
Measure of variation in statistics
correspond to the axes of the 1 sd error ellipsoid of the multivariate normal distribution. See Multivariate normal distribution: geometric interpretation. The
Standard_deviation
Distributions in probability theory
statistics, the Dirichlet-multinomial distribution is a family of discrete multivariate probability distributions on a finite support of non-negative integers
Dirichlet-multinomial distribution
Dirichlet-multinomial_distribution
Separation of a set of source signals from a set of mixed signals
Source separation, blind signal separation (BSS) or blind source separation, is the separation of a set of source signals from a set of mixed signals,
Signal_separation
Table that displays the frequency of variables
or crosstab) is a type of table in a matrix format that displays the multivariate frequency distribution of the variables. They are heavily used in survey
Contingency_table
Indian statistician (born 1935)
Indian-British statistician specialising in directional statistics, multivariate analysis, geostatistics, statistical bioinformatics and statistical shape
Kanti_Mardia
Formal power series
multiple indices. These non-polynomial double sum examples are called multivariate generating functions, or super generating functions. For two variables
Generating_function
Statistical property
homescedasticity and heteroscedasticity has been generalized to the multivariate case, which deals with the covariances of vector observations instead
Homoscedasticity and heteroscedasticity
Homoscedasticity_and_heteroscedasticity
Statistical distance measure
Mahalanobis distance, under the assumption of equal dispersion. It is a multivariate generalization of the absolute value of the standard score z = ( x −
Mahalanobis_distance
Probability distribution
q)}}{}_{2}F_{1}{\begin{bmatrix}p+t\sigma ,t\sigma ;c\\p+q+t\sigma ;\end{bmatrix}}.} A multivariate generalized beta pdf extends the univariate distributions listed above
Generalized_beta_distribution
Type of statistical measure over subsets of a dataset
is according to John Stuart Hunter in a 1986 paper. There is also a multivariate implementation of EWMA, known as MEWMA. One can calculate a moving average
Moving_average
English polymath (1642–1727)
it has been noted that Newton's notation could also have developed multivariate techniques, with his dot notation still widely used in physics. Some
Isaac_Newton
Mathematical function
_{n})}{\Gamma (\alpha _{1}+\alpha _{2}+\cdots +\alpha _{n})}}.} This multivariate beta function is used in the definition of the Dirichlet distribution
Beta_function
Statistical concept
different parametric family of distributions, for example, a mixture of a multivariate normal distribution and a generalized hyperbolic distribution. N random
Mixture_model
Mathematical function for the probability a given outcome occurs in an experiment
called multivariate. A univariate distribution gives the probabilities of a single random variable taking on various different values; a multivariate distribution
Probability_distribution
Statistical test comparing two probability distributions
will entirely contain F(x) with probability 1 − α. A distribution-free multivariate Kolmogorov–Smirnov goodness of fit test has been proposed by Justel,
Kolmogorov–Smirnov_test
Matrix of values of explanatory variables
Dean W (2001). Applied Multivariate Statistical Analysis. Pearson. pp. 111–112. ISBN 0131877151. "Basic Concepts for Multivariate Statistics p.2" (PDF)
Design_matrix
British-American psychologist (1905–1998)
learning theory, predictors of creativity and achievement, and many multivariate research methods including the refinement of factor analytic methods
Raymond_Cattell
Indian-born American mathematician
Gnanadesikan, Ramanathan (1957). "Contributions to multivariate analysis including univariate and multivariate variance components analysis and factor analysis"
Samarendra_Nath_Roy
Concept in probability theory
For the notion in quantum mechanics, see scattering matrix. In multivariate statistics and probability theory, the scatter matrix is a statistic that is
Scatter_matrix
Branch of statistics focusing on large deviations
in the univariate case, there is no unambiguous way to do this in the multivariate case. The fundamental problem is that although it is possible to order
Extreme_value_theory
Type of derivative in mathematics
Fundamental construction of differential calculus Gradient#Total derivative – Multivariate derivative (mathematics) Rudin 1976, p. 213. Lang 1987, §XIII.3. Abraham
Derivative (multivariable calculus)
Derivative_(multivariable_calculus)
Method of data analysis
of the data matrix. PCA is the simplest of the true eigenvector-based multivariate analyses and is closely related to factor analysis. Factor analysis typically
Principal_component_analysis
Type of statistics
Regression validation Mixed effects models Simultaneous equations models Multivariate adaptive regression splines (MARS) Template:Least squares and regression
Descriptive_statistics
Measure of covariance of components of a random vector
Multivariate Statistics: a Vector Space Approach. John Wiley and Sons. pp. 116–117. ISBN 0-471-02776-6. W J Krzanowski "Principles of Multivariate Analysis"
Covariance_matrix
Set of statistical processes for estimating the relationships among variables
algorithm) Local regression Modifiable areal unit problem Multivariate adaptive regression spline Multivariate normal distribution Pearson correlation coefficient
Regression_analysis
Edible fruit
of the IVIA persimmon (Diospyros kaki Thunb.) germplasm collection by multivariate analysis". Genetic Resources and Crop Evolution. 60 (1): 233–41. doi:10
Persimmon
In multivariate analysis, canonical correspondence analysis (CCA) is an ordination technique that determines axes from the response data as a unimodal
Canonical correspondence analysis
Canonical_correspondence_analysis
Algebraic structure
polynomial rings are defined up to a unique isomorphism.) In other words, a multivariate polynomial ring can be considered as a univariate polynomial over a smaller
Polynomial_ring
Mathematical concept in polynomial theory
The resultant of n homogeneous polynomials in n variables (also called multivariate resultant, or Macaulay's resultant) is a generalization of the usual
Resultant
Visualization technique for multivariate data
reasoning is a single question: Compared to what? Small multiple designs, multivariate and data bountiful, answer directly by visually enforcing comparisons
Small_multiple
Chart displaying multivariate data
a common method of visualizing high-dimensional datasets to analyze multivariate data having multiple variables, or attributes. To plot, or visualize
Parallel_coordinates
Probability distribution
univariate probability distribution is generalized for vectors in the multivariate normal distribution and for matrices in the matrix normal distribution
Normal_distribution
Unscrambler X is a commercial software product for multivariate data analysis, used for calibration of multivariate data which is often in the application of analytical
The_Unscrambler
Mathematical concept
In multiple-criteria decision making, multi-objective optimization or Pareto optimization (also known as multi-objective programming, vector optimization
Multi-objective_optimization
Branch of statistics combining astrophysics, statistical analysis and data mining
involved in astronomical analysis including nonparametrics, multivariate regression and multivariate classification, time series analysis, and especially Bayesian
Astrostatistics
Mathematical function with multiple real-number arguments
In mathematics, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being
Function of several real variables
Function_of_several_real_variables
Probability distribution used in multivariate hypothesis testing
probability distribution used in multivariate hypothesis testing, especially with regard to the likelihood-ratio test and multivariate analysis of variance (MANOVA)
Wilks's_lambda_distribution
several generalizations of the mutual information. It is also known as the multivariate constraint (Garner 1962) or multiinformation (Studený & Vejnarová 1999)
Total_correlation
American mathematician and statistician
American mathematician and statistician who specialized in the analysis of multivariate data. He was born in Minneapolis, Minnesota. He was on the faculty of
Theodore_Wilbur_Anderson
Generalization of gamma distribution to multiple dimensions
multivariate statistics. In Bayesian statistics, the Wishart distribution is the conjugate prior of the inverse covariance-matrix of a multivariate-normal
Wishart_distribution
Multivariate polynomial
In algebra, the continuant is a multivariate polynomial representing the determinant of a tridiagonal matrix and having applications in continued fractions
Continuant_(mathematics)
Tool in multivariate statistical analysis
geostatistics, machine learning, image analysis, and other applications of multivariate statistical analysis on metric spaces. It is named after the Swedish
Matérn_covariance_function
Random variable with multiple component dimensions
In probability and statistics, a multivariate random variable or random vector is a list or vector of mathematical variables each of whose value is unknown
Multivariate_random_variable
Class of statistical tests
and kurtosis estimates. Mardia's multivariate skewness and kurtosis tests generalize the moment tests to the multivariate case. Other early test statistics
Normality_test
Discrete-variable probability distribution
probability distribution, and such functions exist for either scalar or multivariate random variables whose domain is discrete. A PMF differs from a continuous
Probability_mass_function
Type of research design
certain multivariate assumptions be met, because a multivariate test is conducted on difference scores. These assumptions include: Multivariate normality—The
Repeated_measures_design
Study of health and disease within a population
Regression validation Mixed effects models Simultaneous equations models Multivariate adaptive regression splines (MARS) Template:Least squares and regression
Epidemiology
travel, tourism, insurance
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travel, tourism, insurance