| The CALIS Procedure |
| LINCON Statement |
number operator linear-term
linear-term operator number
><coefficient
> parameter <<
><coefficient
> parameter ...> The LINCON statement specifies a set of linear equality or inequality constraints of the form
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The constraints must be separated by commas. Each linear constraint
in the statement consists of a linear combination
of a subset of the
parameters
and a constant value
separated by a comparison operator. Valid operators are
, <,
, >, and
or, equivalently, LE, LT, GE, GT, and EQ. PROC CALIS cannot enforce the strict inequalities < or >. Note that the coefficients
in the linear combination must be constant numbers and must be followed by an asterisk and the name of a parameter (for example, listed in the PARMS, STD, or COV statement). The following is an example of the LINCON statement that sets a linear constraint on parameters x1 and x2:
lincon x1 + 3 * x2 <= 1;
Although you can easily express boundary constraints in LINCON statements, for many applications it is much more convenient to specify both the BOUNDS and LINCON statements in the same PROC CALIS call.
The LINCON statement can contain only parameter names, operators, and numerical constants. If you need to compute the values of the coefficients
or right-hand sides
, you can run a preliminary DATA step and create a TYPE=EST data set containing _TYPE_=’LE’, _TYPE_=’GE’, or _TYPE_=’EQ’ observations, and then specify this data set as an INEST= or INVAR= data set in a subsequent PROC CALIS run.
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