The biproportional factorial analysis

L. de Mesnard (1)

1 LATEC - Laboratoire d'Analyse et de Techniques Economiques [UMR 5601]

Beyond the Factorial Analysis of Correspondences, the paper presents a newmethod of data analysis: the Biproportional Factorial Analysis. In the Factorial Analysis of Correspondences, the matrix to be diagonalised is the product o f the two matrices o f profiles, row and columns: this matrix is not symmetrical. In the Biproportional Factorial Analysis, the matrix to be diagonalised is the symmetrical product o f an intermediate matrix over itself; this intermediate matrix is calculated as the biproportion o f the data matrix over normalisedmargins. This provides a full symmetry between rows and columns. After recalling the Factorial Analysis of Correspondences, the paper recall what it is biproportion and then presents the Biproportional Factorial Analysis and discuss it.

Mots clés: Biproportion; Factorial analysis; RAS

Domaines: Mathématiques [math]

L. de Mesnard. The biproportional factorial analysis. [Research Report] Laboratoire d'analyse et de techniques économiques(LATEC). 1993, 10 p., figures, bibliographie. ⟨hal-01545703⟩