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Statistical term of data on each of two paired variables
In statistics, bivariate data is data on each of two variables, where each value of one of the variables is paired with a value of the other variable.
Bivariate_data
Statistical relationship
a type of statistical relationship between two random variables or bivariate data. It usually refers to the extent to which a pair of quantities are linearly
Correlation
analyses can be used during the initial data analysis phase: Univariate statistics (single variable) Bivariate associations (correlations) Graphical techniques
Data_analysis
Topics referred to by the same term
indeterminates Bivariate data, that shows the relationship between two variables Bivariate analysis, statistical analysis of two variables Bivariate distribution
Bivariate
Generalization of the one-dimensional normal distribution to higher dimensions
the vector of [XY] ′ {\displaystyle {\text{[XY]}}\prime } is bivariate normal. The bivariate iso-density loci plotted in the x , y {\displaystyle x,y} -plane
Multivariate normal distribution
Multivariate_normal_distribution
Concept in statistics
density estimates. "Kernel smoothing function estimate for univariate and bivariate data – MATLAB ksdensity". www.mathworks.com. Retrieved 2020-11-05. Horová
Kernel_density_estimation
Concept in statistical analysis
Bivariate analysis is one of the simplest forms of quantitative (statistical) analysis. It involves the analysis of two variables (often denoted as X
Bivariate_analysis
Plot using the dispersal of scattered dots to show the relationship between variables
from line charts is the representation of specific observations of bivariate data where one variable is plotted on the horizontal axis and the other on
Scatter_plot
Interpolation on functions of more than one variable
or defined over a multi-dimensional domain. A common special case is bivariate interpolation or two-dimensional interpolation, based on two variables
Multivariate_interpolation
Middle quantile of a data set or probability distribution
The idea dates back to Wald in 1940 who suggested dividing a set of bivariate data into two halves depending on the value of the independent parameter
Median
Measure of linear correlation
For data that follow a bivariate normal distribution, the exact density function f(r) for the sample correlation coefficient r of a normal bivariate is
Pearson correlation coefficient
Pearson_correlation_coefficient
Statistical data type
Ordinal data is a categorical, statistical data type where the variables have natural, ordered categories and the distances between the categories are
Ordinal_data
Approximation to shape of a point cloud
Convex hull, alpha shape and minimal spanning tree of a bivariate data set
Alpha_shape
Certain type of mathematics from secondary school onwards
or teacher) from a list of four. The core modules are Univariate Data, Bivariate Data, Time Series, Number Patterns and Business-Related Mathematics. The
Further_Mathematics
Type of statistics
distributions The main reason for differentiating univariate and bivariate analysis is that bivariate analysis is not only a simple descriptive analysis, but also
Descriptive_statistics
Table that displays the frequency of variables
the conditional independences are revealed, then even the storage of the data can be done in a smarter way (see Lauritzen (2002)). In order to do this
Contingency_table
Type of plot in descriptive statistics and chaos theory
S2CID 119494395. N. Marwan; J. Kurths (2002). "Nonlinear analysis of bivariate data with cross recurrence plots". Physics Letters A. 302 (5–6): 299–307
Recurrence_plot
Multivariable generalization of the Student's t-distribution
standard but not the only choice. An important special case is the standard bivariate t-distribution, p = 2: f ( t 1 , t 2 ) = | A | 1 / 2 2 π ( 1 + ∑ i , j
Multivariate_t-distribution
Estimate of an unobservable underlying probability density function
exploratory and presentational purposes, including the important case of bivariate data. Density estimation is also frequently used in anomaly detection or
Density_estimation
Method of analysing a dynamical system
S2CID 255630484. Marwan, N., Kurths, J. (2002). "Nonlinear analysis of bivariate data with cross recurrence plots". Physics Letters A. 302 (5–6): 299–307
Recurrence quantification analysis
Recurrence_quantification_analysis
Form of interpolation
party computation and secret sharing. For any n + 1 {\displaystyle n+1} bivariate data points ( x 0 , y 0 ) , … , ( x n , y n ) ∈ R 2 {\displaystyle (x_{0}
Polynomial_interpolation
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
Statistical distribution for dependence between random variables
instance, in the bivariate case, C : [ 0 , 1 ] × [ 0 , 1 ] → [ 0 , 1 ] {\displaystyle C:[0,1]\times [0,1]\rightarrow [0,1]} is a bivariate copula if C (
Copula_(statistics)
Simultaneous observation and analysis of more than one outcome variable
Multivariate testing in marketing Structured data analysis (statistics) Structural equation modeling RV coefficient Bivariate analysis Design of experiments (DoE)
Multivariate_statistics
Statistical phenomenon
identical marginal distributions with mean μ. In this formalization, the bivariate distribution of X1 and X2 is said to exhibit regression toward the mean
Regression_toward_the_mean
Images used to represent statistical data visually
Jacoby, William G. (1997). Statistical Graphics for Univariate and Bivariate Data: Statistical Graphics. pp. 2–4. James R. Beniger and Dorothy L. Robyn
Statistical_graphics
Sequence of data points over time
of non-stationarity) Bivariate linear measures Maximum linear cross-correlation Linear Coherence (signal processing) Bivariate non-linear measures Non-linear
Time_series
Discrete probability distribution
increasing or decreasing. This distribution has been extended to the bivariate case. The generating function for this distribution is g ( u , v ) = exp
Poisson_distribution
Ballistics measure of a weapon system's precision
LORAN and Loran-C. The original concept of CEP was based on a circular bivariate normal distribution (CBN) with CEP as a parameter of the CBN just as μ
Circular_error_probable
Type of data visualization for geographic regions
likely the most common type of thematic map because published statistical data (from government or other sources) is generally aggregated into well-known
Choropleth_map
Association of one output to each input
graph of a bivariate surface over a two-dimensional real domain may be interpreted as defining a parametric surface, as used in, e.g., bivariate interpolation
Function_(mathematics)
Concept in statistics mathematics
comparable to its univariate counterparts. We take an illustrative synthetic bivariate data set of 50 points to illustrate the construction of histograms. This
Multivariate kernel density estimation
Multivariate_kernel_density_estimation
Branch of statistics mathematics
{\displaystyle \mathbb {E} (Y|X)=\mathbb {E} (Y)+\int _{0}^{1}g(t,X(t))dt} for a bivariate smooth additive surface g : [ 0 , 1 ] × R ⟶ R {\displaystyle g:[0,1]\times
Functional_data_analysis
Statistical transformation
of z for data from a bivariate normal distribution in 1921; Gayen in 1951 determined the exact distribution of z for data from a bivariate Type A Edgeworth
Fisher_transformation
Branch of statistics focusing on large deviations
taking the maximum (or minimum) of the observations. However, in the bivariate case, given a set of observations ( x i , y i ) {\displaystyle \ (x_{i}
Extreme_value_theory
Graphical tool in probability
trees, and are themselves specializations of Cantor tree. Combined with bivariate copulas, regular vines have proven to be a flexible tool in high-dimensional
Vine_copula
Type of mathematical expression
multivariate polynomial. A polynomial with two indeterminates is called a bivariate polynomial. These notions refer more to the kind of polynomials one is
Polynomial
Polish statistician
supervised by Kjell Doksum, was Rank Tests for Independence for Bivariate Censored Data. After completing her doctorate, she joined the faculty at the
Dorota_Dabrowska
Function of observations and unobservable parameters
vectors ( X i , Y i ) ′ {\displaystyle (X_{i},Y_{i})'} is taken from a bivariate bivariate normal distribution with unknown correlation ρ {\displaystyle \rho
Pivotal_quantity
Probability distribution on a torus
In probability theory and statistics, the bivariate von Mises distribution is a probability distribution describing values on a torus. It may be thought
Bivariate von Mises distribution
Bivariate_von_Mises_distribution
Field in statistics pertaining to establishing cause and effect
(ECA), also known as data causality or causal discovery is the use of statistical algorithms to infer associations in observed data sets that are potentially
Exploratory_causal_analysis
Algorithm to smooth data points
of the values at the m × n kernel nodes. The following example, for a bivariate polynomial of total degree 3, m = 7, and n = 5, illustrates the process
Savitzky–Golay_filter
Nonparametric measure of rank correlation
{\displaystyle \ n\ } is the number of observations. [Proof] Consider a bivariate sample ( X i , Y i ) , i = 1 , … n {\displaystyle \ (X_{i},Y_{i})\
Spearman's rank correlation coefficient
Spearman's_rank_correlation_coefficient
Topics referred to by the same term
correlation, a statistical relationship between two random variables or bivariate data, describing the extent to which a pair of quantities are linearly related
Linear_(disambiguation)
Numerical measure of a statistical relationship between variables
as ordered-category variables. The two continuous variables followed a bivariate normal distribution. When both variables are dichotomous instead of ordered-categorical
Correlation_coefficient
Dynamic bubble chart
properties or complexity of the dataset. For instance, Scatter plots require bivariate data. Many datasets include multiple measurements like time, space, demographic
Motion_chart
Data visualization
JSTOR 2685133. Rousseeuw, P. J.; Ruts, I.; Tukey, J. W. (1999). "The Bagplot: A Bivariate Boxplot". The American Statistician. 53 (4): 382–387. doi:10.2307/2686061
Box_plot
2002 book by Richard Lynn
country comparability and reliability of IQ scores, for relying on simple bivariate correlations, for not considering or controlling for other hypotheses
IQ_and_the_Wealth_of_Nations
Subdiscipline of statistics
{C}},{\overline {S}}]} approaches a bivariate normal distribution in the limit of large sample size. For cyclic data – (e.g., is it uniformly distributed) :
Directional_statistics
Type of data measuring one attribute
Cauchy distribution Beta distribution Univariate Univariate distribution Bivariate analysis Multivariate analysis List of probability distributions Kachigan
Univariate_(statistics)
British eugenist, polymath, and behavioural geneticist (1822–1911)
the attendees. Galton's formulation of regression and its link to the bivariate normal distribution can be traced to his attempts at developing a mathematical
Francis_Galton
Method of estimating the parameters of a statistical model, given observations
}}^{-1}\left[y_{1}-\mu _{1},\ldots ,y_{n}-\mu _{n}\right]^{\mathrm {T} }\right)} In the bivariate case, the joint probability density function is given by: f ( y 1 , y
Maximum_likelihood_estimation
Involving a single variable
deviation) describe how similar or different the data are scattered. Arity Bivariate Multivariate Univariate analysis Univariate binary model Univariate distribution
Univariate
Area in which an animal lives and moves
the data but this tends to overestimate the range. The best known methods for constructing utilization distributions are the so-called bivariate Gaussian
Home_range
Probability distribution
the probability distribution of the magnitude of a circularly symmetric bivariate normal random variable, possibly with non-zero mean (noncentral). It was
Rice_distribution
value. binary data Data that can take only two values, usually represented by the binary digits 0 and 1. binomial distribution bivariate analysis A type
Glossary of probability and statistics
Glossary_of_probability_and_statistics
Statistical test
1093/biomet/36.3-4.317. Rebecca M. Warner (2013). Applied Statistics: From Bivariate Through Multivariate Techniques. SAGE. p. 778. ISBN 978-1-4129-9134-6
Box's_M_test
applied to fMRI data, if the required image sequences are available. Among estimators of connectivity, there are linear and non-linear, bivariate and multivariate
Brain_connectivity_estimators
Statistical concept
univariate and (in some sense) bivariate moments. The performance of this method is then evaluated using equity log-return data with Kolmogorov–Smirnov test
Mixture_model
Choice of colors used in design
developed by Peter Kovesi. Scientific color maps developed by Fabio Crameri. Bivariate or trivariate schemes use two or three orthogonal sequential schemes to
Color_scheme
Graphical technique for data sets
plot : In this visualization of the graph of a bivariate function, a surface is plotted to fit a set of data triplets (X, Y, Z), where Z if obtained by the
Plot_(graphics)
German-American cyberneticist (1932–2022)
Urbana: University of Illinois, 400 pp. 1970, "Bivariate agreement coefficients for reliability of data", in E. F. Borgatta: Sociological Methodology.
Klaus_Krippendorff
Set of statistical processes for estimating the relationships among variables
X_{1i},X_{2i})} . Suppose further that the researcher wants to estimate a bivariate linear model via least squares: Y i = β 0 + β 1 X 1 i + β 2 X 2 i + e
Regression_analysis
In statistics, a measurement of the agreement between two variables
Klaus Krippendorff (1970). E. F. Borgatta (ed.). "Bivariate Agreement Coefficients for Reliability of Data". Sociological Methodology. 2. San Francisco: Jossey-Bass:
Concordance correlation coefficient
Concordance_correlation_coefficient
Statistical hypothesis test
therefore a nuisance parameter). When the scaling term is estimated based on the data, the test statistic—under certain conditions—follows a Student's t distribution
Student's_t-test
Statistic used in signal detection theory
d ′ {\displaystyle d'} along the 1d slice through the means. For two bivariate distributions with equal variance-covariance, this is given by: d ′ 2
Sensitivity_index
Concept in mathematical modeling, statistical modeling and experimental sciences
scatter plot of data is generated with X as the independent variable and Y as the dependent variable. This is also called a bivariate dataset, (x1, y1)(x2
Dependent and independent variables
Dependent_and_independent_variables
Probability distribution with more than one mode
ISBN 0-04-300017-7. Fieller E (1932). "The distribution of the index in a normal bivariate population". Biometrika. 24 (3–4): 428–440. doi:10.1093/biomet/24.3-4
Multimodal_distribution
Family of stochastic optimization methods
use of bivariate factorizations was proposed in the EDA community, in which dependencies between pairs of variables could be modeled. A bivariate factorization
Estimation of distribution algorithm
Estimation_of_distribution_algorithm
Curve along which a 3-D surface is at equal elevation
Antonio (2011). "A Generalized Regression Methodology for Bivariate Heteroscedastic Data" (PDF). Communications in Statistics – Theory and Methods. 40
Contour_line
Region of chromaticity diagram
number of experimental color matches to the central color. Assuming a bivariate normal distribution of these match points, a MacAdam ellipse thus contains
MacAdam_ellipse
British psychologist and scientific racist (1930–2023)
the journal by Mark E. Hill. The article concluded that "...[Lynn's] bivariate association disappears once childhood environmental factors are considered"
Richard_Lynn
Set of bivariate correlations among galaxies
The fundamental plane is a set of bivariate correlations connecting some of the properties of normal elliptical galaxies. Some correlations have been
Fundamental plane (elliptical galaxies)
Fundamental_plane_(elliptical_galaxies)
Measure of goodness of fit for a statistical model
divergence. The unit deviance d ( y , μ ) {\displaystyle d(y,\mu )} is a bivariate function that satisfies the following conditions: d ( y , y ) = 0 {\displaystyle
Deviance_(statistics)
Probability distribution
vector Y = ( U , V ) {\displaystyle Y=(U,V)} which has components that are bivariate normally distributed, centered at zero, with equal variances σ 2 {\displaystyle
Rayleigh_distribution
Type of map that visualizes data
property or type of feature (a univariate map), occasionally including two (bivariate) or more (multivariate) properties or feature types that are hypothesized
Thematic_map
Statistical model
the sources of the height–intelligence correlation: New insights from a bivariate ACE model with assortative mating". Behavior Genetics. 41 (2): 242–252
ACE_model
Statistical method that summarizes and/or integrates data from multiple sources
them and between-study heterogeneity. Two commonly used models are the bivariate random-effects model and the hierarchical summary receiver operating characteristic
Meta-analysis
Measure of dependence between two variables
joint distribution for X {\displaystyle X} and Y {\displaystyle Y} is a bivariate normal distribution (implying in particular that both marginal distributions
Mutual_information
Spatial correlation measure
Lee's L is a bivariate spatial correlation coefficient which measures the association between two sets of observations made at the same spatial sites
Lee's_L
Non-parametric statistic on information transfer
complexity, using a non-uniform embedding. While it was originally defined for bivariate analysis, transfer entropy has been extended to multivariate forms, either
Transfer_entropy
Statistical test comparing two probability distributions
Rosenblatt's transformation, and an algorithm is developed to compute it in the bivariate case. An approximate test that can be easily computed in any dimension
Kolmogorov–Smirnov_test
Measure of the error of an estimator
linear regression model to model bivariate dataset, but whose limitation is related to known distribution of the data. The term mean squared error is sometimes
Mean_squared_error
Spline function
Archived from the original (PDF) on 2013-11-06. Retrieved 2012-05-02. bivariate B-spline from numpy Interactive B-splines with JSXGraph TinySpline: Opensource
B-spline
Statistical modeling method
predictor functions whose unknown model parameters are estimated from the data. Most commonly, the conditional mean of the response given the values of
Linear_regression
Probability distribution
distribution, and will be independent. This formulation arises because for a bivariate normal random vector (X, Y) the squared norm X2 + Y2 will have the chi-squared
Normal_distribution
Fourth standardized moment in statistics
cokurtosis between pairs of variables is an order four tensor. For a bivariate normal distribution, the cokurtosis tensor has off-diagonal terms that
Kurtosis
Specifies a range of position-dependent colors
colorblind-friendly) color space color depth 1D 2D: Multivariate map, bivariate or trivariate 3D An axial color gradient (sometimes also called a linear
Color_gradient
Statistic for rank correlation
probability of concordance minus the probability of discordance of pairs of bivariate observations. This alternative estimator also serves as an approximation
Kendall rank correlation coefficient
Kendall_rank_correlation_coefficient
Statistical technique
David I.; Wright, Ian J.; Falster, Daniel S.; Westoby, Mark (2006). "Bivariate line-fitting methods for allometry". Biological Reviews. 81 (2): 259–291
Total_least_squares
Computational geometry concept
is with respect to a point cloud. It is used to define the bagplot, a bivariate generalization of the boxplot. For example, for any extreme point of the
Tukey_depth
Function that takes two inputs
In mathematics, a binary function (also called bivariate function, or function of two variables) is a function that takes two inputs. Precisely stated
Binary_function
Probability distribution
independent variables, proceed as follows. The diagram shows a separable bivariate distribution f x , y ( x , y ) = f x ( x ) f y ( y ) {\displaystyle f_{x
Ratio_distribution
Belgian statistician (born 1956)
of scale). With Ida Ruts and John Tukey he introduced the bagplot, a bivariate generalization of the boxplot. His more recent work has focused on concepts
Peter_Rousseeuw
Statistical algorithm
{\displaystyle Y} . It can be used as a general measure of dependence. In the bivariate case, the ACE algorithm can also be regarded as a method for estimating
Alternating conditional expectations
Alternating_conditional_expectations
Number of occurrences in an experiment or study
students in a class could be organized into the following frequency table. Bivariate joint frequency distributions are often presented as (two-way) contingency
Frequency_(statistics)
Thematic map using dots to visualize distribution
modern form. They were enabled by the increasing availability of statistical data and growing recognition of their value for scientific understanding. As with
Dot_distribution_map
Stability of soil or rock slopes
probability of slope failure induced by rainfall at a specific slope using bivariate distribution of rainfall intensity and duration". Engineering Geology
Slope_stability
Probability distribution
(at)&=|a|\gamma (t),\end{aligned}}} for all t {\displaystyle t} . An example of a bivariate Cauchy distribution can be given by: f ( x , y ; x 0 , y 0 , γ ) = 1 2
Cauchy_distribution
Probability distribution
simulating bivariate asymmetric Laplace variables (including for the case of μ = 0 {\displaystyle {\boldsymbol {\mu }}=\mathbf {0} } ). Simulate a bivariate normal
Multivariate Laplace distribution
Multivariate_Laplace_distribution
BIVARIATE DATA
BIVARIATE DATA
Girl/Female
English
Adventurous. Note: This Database is Copyright 2000, Muse Creations Inc.
Girl/Female
Russian
crowned with laurels. Note: 'This Database is Copyright Muse Creations Inc. 2000'.
Male
Hebrew
Variant spelling of Hebrew Dathan, DATAN means "belonging to a fountain."
Boy/Male
English
English surnames related to Bradley: broad clearing in the wood. Note: This Database is Copyright...
Girl/Female
Polish
Christian. Note: 'This Database is Copyright Muse Creations Inc. 2000'.
Girl/Female
German
Bright angel Note: 'This Database is Copyright Muse Creations Inc. 2000'.
Boy/Male
Hindu, Indian, Punjabi, Sikh
Creator; Giver; Donor; Liberal Person
Biblical
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Girl/Female
Native American
Power of the moon Note: 'This Database is Copyright Muse Creations Inc. 2000'.
Girl/Female
German
Mighty with a spear. Note: 'This Database is Copyright Muse Creations Inc. 2000'.
Boy/Male
Latin
Yearning; sorrow. Abbreviation of Desiderus.Note: This Database is Copyright Dogwood Technical...
Girl/Female
English
which is a . Note: 'This Database is Copyright Muse Creations Inc. 2000'.
Boy/Male
Spanish
Conqueror. Note: This Database is Copyright 2000, Muse Creations Inc.
BIVARIATE DATA
BIVARIATE DATA
Girl/Female
Australian, British, English, French, German, Italian, Latin
Mildness; Gentle; Merciful
Girl/Female
Arabic, Muslim
Pride
Girl/Female
Hindu, Indian, Traditional
Goddess Durga
Male
English
Variant spelling of English Rory, RORIE means "red king."
Girl/Female
Hindu
Praise, Glory, Fame
Surname or Lastname
English
English : topographic name, a variant of Rye 1 and 2, with the addition of man ‘man’.Swedish : ornamental name composed of the place name element ryd ‘woodland clearing’ + man ‘man’.Swiss German (Rymann) : variant of Reimann 1, 3.
Girl/Female
Celtic Russian
Pale.
Girl/Female
Hindu, Indian
Parrot; 5th Girl of Family
Surname or Lastname
English
English : variant spelling of Waites.
Boy/Male
Hindu, Indian, Sanskrit
Messenger of the Clouds
BIVARIATE DATA
BIVARIATE DATA
BIVARIATE DATA
BIVARIATE DATA
BIVARIATE DATA
v. i.
To diverge; to be divaricate.
a.
Having delegated power, as a vicar; vicarious.
a.
Divided in such a manner as to resemble the two lips when the mouth is more or less open; bilabiate.
a.
Having two keel-like projections, as the upper palea of grasses.
a.
Having two lips, as the corols of certain flowers.
a.
Having the lips widely separated and gaping like an open mouth; as a ringent bilabiate corolla.
v. i.
To part into two branches; to become bifid; to fork.
n.
The office or employment of a datary.
a.
Having the throat of a bilabiate corolla nearly closed by a projection of the base of the lower lip; masked, as in the flower of the snapdragon.
a.
Alt. of Biseriate
p. pr. & vb. n.
of Divaricate
v. t.
To divide into two branches; to cause to branch apart.
a.
Alt. of Biradiated
n.
Delegated office or power; vicarship; the office or oversight of a vicar.
v. t. & i.
To alter; to make different; to vary.
imp. & p. p.
of Divaricate
a.
Diverging; spreading asunder; widely diverging.
a.
Having two rays; as, a biradiate fin.
a.
Forking and diverging; widely diverging; as the branches of a tree, or as lines of sculpture, or color markings on animals, etc.
a.
In two rows or series.