This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. Find sources: "Bivariate data" – news · newspapers · books · scholar · JSTOR(June 2009) (Learn how and when to remove this message)
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.[1] It is a specific but very common case of multivariate data. The association can be studied via a tabular or graphical display, or via sample statistics which might be used for inference. Typically it would be of interest to investigate the possible association between the two variables.[2] The method used to investigate the association would depend on the level of measurement of the variable. This association that involves exactly two variables can be termed a bivariate correlation, or bivariate association.
For two quantitative variables (interval or ratio in level of measurement), a scatterplot can be used and a correlation coefficient or regression model can be used to quantify the association.[3] For two qualitative variables (nominal or ordinal in level of measurement), a contingency table can be used to view the data, and a measure of association or a test of independence could be used.[3]
If the variables are quantitative, the pairs of values of these two variables are often represented as individual points in a plane using a scatter plot. This is done so that the relationship (if any) between the variables is easily seen.[4] For example, bivariate data on a scatter plot could be used to study the relationship between stride length and length of legs.
In a bivariate correlation, outliers can be incredibly problematic when they involve both extreme scores on both variables. The best way to look for these outliers is to look at the scatterplots and see if any data points stand out between the variables.
^Moore, David; McCabe, George (1999). Introduction to the Practice of Statistics (Third ed.). New York: W.H. Freeman and Company. p. 104.
^ abOtt, Lyman; Longnecker, Michael (2010). An Introduction to Statistical Methods and Data Analysis (Sixth ed.). Belmont, CA: Brooks/Cole. pp. 102–112.
^National Council of Teachers of Mathematics. "Statistics and Probability Problem." Retrieved 7 August 2013 from http://www.nctm.org/uploadedFiles/Statistics%20and%20Probability%20Problem%202.pdf#search=%22bivariate[permanent dead link] data%22
In statistics, bivariatedata 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 analysis is one of the simplest forms of quantitative (statistical) analysis. It involves the analysis of two variables (often denoted as X...
indeterminates Bivariatedata, that shows the relationship between two variables Bivariate analysis, statistical analysis of two variables Bivariate distribution...
relationship, whether causal or not, between two random variables or bivariatedata. Although in the broadest sense, "correlation" may indicate any type...
analyses can be used during the initial data analysis phase: Univariate statistics (single variable) Bivariate associations (correlations) Graphical techniques...
The idea dates back to Wald in 1940 who suggested dividing a set of bivariatedata into two halves depending on the value of the independent parameter...
density estimates. "Kernel smoothing function estimate for univariate and bivariatedata - MATLAB ksdensity". www.mathworks.com. Retrieved 2020-11-05. Horová...
that the vector of [XY]′ {\displaystyle {\text{[XY]′}}} is bivariate normal. The bivariate iso-density loci plotted in the x , y {\displaystyle x,y} -plane...
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...
or teacher) from a list of four. The core modules are Univariate Data, BivariateData, Time Series, Number Patterns and Business-Related Mathematics. The...
distributions The main reason for differentiating univariate and bivariate analysis is that bivariate analysis is not only a simple descriptive analysis, but also...
Jacoby, William G. (1997). Statistical Graphics for Univariate and BivariateData: Statistical Graphics. pp. 2–4. James R. Beniger and Dorothy L. Robyn...
Ordinal data is a categorical, statistical data type where the variables have natural, ordered categories and the distances between the categories are...
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...
exploratory and presentational purposes, including the important case of bivariatedata. Density estimation is also frequently used in anomaly detection or...
comparable to its univariate counterparts. We take an illustrative synthetic bivariatedata set of 50 points to illustrate the construction of histograms. This...
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...
authors list (link) Marwan, N., Kurths, J. (2002). "Nonlinear analysis of bivariatedata with cross recurrence plots". Physics Letters A. 302 (5–6): 299–307...
multivariate polynomial. A polynomial with two indeterminates is called a bivariate polynomial. These notions refer more to the kind of polynomials one is...
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...
In probability theory and statistics, the bivariate von Mises distribution is a probability distribution describing values on a torus. It may be thought...
deviation) describe how similar or different the data are scattered. Arity Bivariate Multivariate Univariate analysis Univariate binary model Univariate distribution...
of non-stationarity) Bivariate linear measures Maximum linear cross-correlation Linear Coherence (signal processing) Bivariate non-linear measures Non-linear...
as ordered-category variables. The two continuous variables followed a bivariate normal distribution. When both variables are dichotomous instead of ordered-categorical...
Global Information