قارن الطرق

	المخطط الثنائي: عرض متزامن للصفوف والأعمدة في البيانات متعددة المتغيرات	تحليل التراسل
المجال	الإحصاء	الإحصاء
العائلة	Latent structure	Latent structure
سنة النشأة	1971	1984
صاحب الطريقة	Ruben Gabriel	Jean-Paul Benzécri; Michael Greenacre
النوع	Multivariate graphical display	Exploratory multivariate technique for categorical data
المصدر التأسيسي	Gabriel, K. R. (1971). The biplot graphic display of matrices with application to principal component analysis. Biometrika, 58(3), 453–467.	Greenacre, M. J. (1984). Theory and Applications of Correspondence Analysis. Academic Press. ISBN: 978-0-12-299050-2
الأسماء البديلة	Gabriel biplot, PCA biplot, JK biplot, Çift grafik	CA, Simple Correspondence Analysis, Reciprocal Averaging, Karşılıklı Uyum Analizi
ذات صلة	2	2
الملخص	A biplot is a low-dimensional graphical representation of a multivariate data matrix that simultaneously displays both the observations (rows) and the variables (columns) as points or vectors in the same plot. Introduced by Ruben Gabriel in 1971, the technique decomposes the data matrix into a rank-2 approximation using singular value decomposition, allowing the approximate value of any data entry to be read as the inner product of the corresponding row and column markers.	Correspondence Analysis (CA) is an exploratory multivariate technique for visualizing the association structure of a two-way contingency table. Developed systematically by Jean-Paul Benzécri in France during the 1960s–1970s and brought to an English-language audience by Michael Greenacre in 1984, CA decomposes the chi-square statistic of a cross-tabulation to produce a low-dimensional joint display — called a biplot — in which rows and columns are represented as points whose proximities reflect their associations.