Extracts initial factor‑loading estimates in factor analysis.

Frees the structure containing information about the Faure sequence.

Computes a shuffled Faure sequence.

Shuffled Faure sequence initialization.

Computes a matrix of factor score coefficients for input to the following IMSL routine (FSCOR).

Evaluates the F cumulative distribution function.

Computes a direct oblimin rotation of a factor‑loading matrix.

Computes the Fejér kernel.

Computes direct oblique rotation according to a generalized fourth‑degree polynomial criterion.

Computes an oblique rotation of an unrotated factor‑loading matrix using the Harris‑Kaiser method.

Computes the image transformation matrix.

Evaluates the inverse of the F cumulative distribution function.

Noncentral F cumulative distribution function.

This function evaluates the inverse of the noncentral F cumulative distribution function (CDF).

This function evaluates the noncentral F cumulative distribution function (CDF).

Computes an orthogonal Procrustes rotation of a factor‑loading matrix using a target matrix.

Evaluates the F probability density function.

Computes an oblique Promax or Procrustes rotation of a factor‑loading matrix using a target matrix, including pivot and power vector options.

Performs Friedman’s test for a randomized complete block design.

Tallies multivariate observations into a multi‑way frequency table.

Computes commonalities and the standardized factor residual correlation matrix

Computes an orthogonal rotation of a factor‑loading matrix using a generalized orthomax criterion, including quartimax, varimax, and equamax rotations.

Computes the factor structures and the variance explained by each factor.

Computes a set of factor scores given the factor score coefficient matrix.