#
Q-Analysis

Q-analysis uses geometry (topology) mainly. Not
Statistics
.

Data for Q-analysis is 1-0 data.
"1" means that "There is relation".
Because of this kind of data, the analysis of the number of dimension and the analysis of shape below are able to be done.

ISM
is a statistical approach for 1-0 data.
And the study by Q-analysis is similar to
correlation analysis
.

Q-analysis is not used some special fields.
But many analyses have been done in
quantitative geography
.
And Q-analysis is used as a
text mining
method to study the relation of words.

##
Analysis of the Number of Dimension

The sum of "1" for each column and row is the dimension of each item.

Example of this page is that

(A1, A2, A3, A4) = (2, 2, 1, 2)

(B1, B2, B3) = (2, 3, 3)

.

If the number of dimension is close, the item set is close.
Q-analysis classifies the items by the dimension.

##
Analysis of Shape

If "1" means the vertex of the shape, the data changes the shape.

This shape does not lose the information of the data.
It is the difference from statistical approach.

This analysis is easy for low dimension analysis.
It is difficult to sketch the shape for high dimension.

NEXT Correspondence analysis