Multiple correspondence analysis expects as input (i.e., the program will compute prior to the analysis) a so-called Burt table. The Burt table is the result of the inner product of a design or indicator matrix. If you denote the data (design or indicator matrix) as matrix X, then matrix product X'X is a Burt table); shown below is an example of a Burt table that one might obtain in this manner.
Overall, the data matrix is symmetrical. In the case of 3 categorical variables (as shown above), the data matrix consists 3 x 3 = 9 partitions, created by each variable being tabulated against itself, and against the categories of all other variables. Note that the sum of the diagonal elements in each diagonal partition (i.e., where the respective variables are tabulated against themselves) is constant (equal to 764 in this case). The off-diagonal elements in each partition in this example are all 0. If the cases in the design or indicator matrix are assigned to categories via fuzzy coding, then the off-diagonal elements of the diagonal partitions are not necessarily equal to 0.
see under birtburt
\burt\ (&?;), n. (zo?l.) see birt. [prov. eng.]
louis burt mayer
is a given name and also a shortened form of other names, such as Burton and Herbert.
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1. English psychologist whose studies of twins were later said to have used fabricated data (1883-1971)
(synonym) Cyril Burt, Cyril Lodowic Burt
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