02-12-2025, 11:16 PM
(02-12-2025, 10:29 PM)srjskam wrote: You are not allowed to view links. Register or Login to view.To me it's reasonable to say from this that beta and delta form a class of words that is usually followed by another class of two and four. This is a "::" in the sense I mean it. What are the scores for beta-delta-two-four, alpha-beta-one-three, and beta-gamma-three-four? Isn't the first combination clearly more prominent than all other possible combinations?
The combinations that I listed are all the 2x2 submatrices in those part of the matrix that you highlighted in brown.
You had three words {in,mit,von} that formed pairs with {der,den,dem}. The fact that all nine pairs have significant counts is already an interesting observation.
But, that given, it is natural to ask whether the choice of the right member among {der,den,dem} is independent of which of the other three words {in,mit,von} came before it. Or whether there are biases, like "von" preferring to pair with "dem", and "mit" with "der" or "den". The R number is a measure of such bias.
But the formulas I gave only work for 2x2 matrices; that is, one of two words {A1,A2} followed by one of two words {B1,B2}. Thus I broke your 3x3 submatrix into the nine possible 2x2 submatrices, and computed the R for each one.
It is possible to compute similar metrics directly for a 3x3 submatrix, but interpreting the result is complicated.
It is not worth computing the R if a 2x2 submatrix has a row or column with only zero (or small) elements. That matrix will give a low R, but it will not mean anything.
But otherwise it is worth listing the two word pairs and their R, even if some of the four counts are small. For example, in your VMS-B table, the words from A ={okedy,otedy} pair up with the words from B={qokeedy,qokedy} with submatrix [[0,4.71],[2.04,4.06]]. That "0" means that otedy will pair with both B words more than expected by chance, but okedy will pair up significantly only with qokedy. That is a significant asymmetry. (The R value comes out as ~0.29, quite far from zero.)
I don't know how to use that information to decipher the VMS, but the existence of such asymmetric pairs is one of the many bits of circumstantial evidence that the contents is meaningful.
All the best, --stolfi