Distribution of the inter and intra inertia in conditional MCA |
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| Authors: | Josep Daunis-i-Estadella Tomas Aluja-Banet Santiago Thió-Henestrosa |
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| Institution: | (1) Dept. of Computer Science and Applied Mathematics, Univ.de Girona., Av. Lluís Santaló s/n, 17071 Girona, SPAIN.;(2) Dept. of Statistics and Operations Research, Univ. Politècnica de Catalunya, Pau Gargallo, 5 08028 Barcelona, SPAIN. |
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| Abstract: | Conditional Multiple Correspondence Analysis (MCA), where a control variable plays the role of a partition model, allows us
to decompose global inertia into between inertia and within inertia. The problem is to assess when the conditioning variable
gives different results with respect to the unconditional analysis. In this paper, we study the asymptotic distribution function
of these inertias, which can allow us to determine whether conditioning is significant. Some simulations were performed to
corroborate the established results. |
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| Keywords: | Multiple Correspondence Analysis ]MCA Conditional MCA Inertia Huyghens’ decomposition |
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