PVI (in french "pourcentages de valeur d'indépendance") is calculated for
each cell as the percentage to the column theoretical independence value:
PVI greater than \(1\) represent positive deviations from the
independence, whereas PVI smaller than \(1\) represent negative
deviations (Desachy 2004).
The PVI matrix allows to explore deviations from independence (an
intuitive approach to \(\chi^2\)), in such a way that a
high-contrast matrix has quite significant deviations,
with a low risk of being due to randomness (Desachy 2004).
matrigraph()
displays the deviations from independence:
If the PVI is equal to \(1\) (statistical independence), the cell of the
matrix is filled in grey.
If the PVI is less than \(1\) (negative deviation from independence),
the size of the grey square is proportional to the PVI (the white margin
thus represents the fraction of negative deviation).
If the PVI is greater than \(1\) (positive deviation), a black
square representing the fraction of positive deviations is
superimposed. For large positive deviations (PVI greater than \(2\)),
the cell in filled in black.
If reverse
is TRUE
, the fraction of negative deviations is displayed
as a white square.