Sign ambiquity corrections adjust the signs of the weights to satisfy a criterion.
1 2 3
Weight matrix, where the indicators are on colums and composites are on the rows.
Covariance matrix of the data.
Instead of fixing a weight to a particular value, composite variables are typically provided a
scale by standardization. This leads to sign indeterminacy because standardized weights
-W both satisfy the scalign constraint. The sing ambiquity corrections add additional
constraints that make
The sign indeterminacy
corrections should not be confused with sign chance corrections applied to boostrap samples
W after sign correction.
weightSign.Wold1985: Adjust the signs of W so that the majority of the indicators are positively
correlated with the composite as proposed by Wold (1985).
weightSign.dominantIndicator: Adjust the signs of W so that the first indicator of each composite has positive
Wold, H. (1985). Partial Least Squares. In S. Kotz & N. L. Johnson (Eds.), Encyclopedia of statistical sciences (Vol. 6, pp. 581–591). New York: Wiley.