SHAPE Subcommand (PROXSCAL command)

The SHAPE subcommand specifies the structure of the proximity matrix.

LOWER. Lower-triangular data matrix. For a lower-triangular matrix, PROXSCAL expects a square matrix of proximities of which the lower-triangular elements are used under the assumption that the full matrix is symmetric. The diagonal is ignored but must be included.

UPPER. Upper-triangular data matrix. For an upper-triangular matrix, PROXSCAL expects a square matrix of proximities of which the upper-triangular elements are used under the assumption that the full matrix is symmetric. The diagonal is ignored but must be included.

BOTH. Full data matrix. The values in the corresponding cells in the upper and lower triangles may be different. PROXSCAL reads the complete square matrix and, after obtaining symmetry, continues with the lower-triangular elements. The diagonal is ignored but must be included.

  • System or other missing values on the (virtual) diagonal are ignored.

Example 

PROXSCAL object01 TO object07 
  /SHAPE=UPPER.
  • PROXSCAL reads square matrices of seven columns per matrix of which the upper-triangular parts are used in computations.
  • Although specified, the diagonal and lower-triangular part of the matrix are not used.