The COUNTREG Procedure
- Overview
- Getting Started
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Syntax
Functional SummaryPROC COUNTREG StatementBAYES StatementBOUNDS StatementBY StatementCLASS StatementDISPMODEL StatementFREQ StatementINIT StatementMODEL StatementNLOPTIONS StatementOUTPUT StatementPERFORMANCE StatementPRIOR StatementRESTRICT StatementSCORE StatementSHOW StatementSPATIALDISPEFFECTS StatementSPATIALEFFECTS StatementSPATIALID StatementSPATIALZEROEFFECTS StatementSTORE StatementTEST StatementWEIGHT StatementZEROMODEL Statement -
DetailsSpecification of RegressorsMissing ValuesPoisson RegressionConway-Maxwell-Poisson RegressionNegative Binomial RegressionZero-Inflated Count Regression OverviewZero-Inflated Poisson RegressionZero-Inflated Conway-Maxwell-Poisson RegressionZero-Inflated Negative Binomial RegressionSpatial Lag of X ModelVariable SelectionPanel Data AnalysisBY Groups and Scoring with an Item StoreParameter Naming Conventions for the RESTRICT, TEST, BOUNDS, and INIT StatementsComputational ResourcesNonlinear Optimization OptionsCovariance Matrix TypesDisplayed OutputBayesian AnalysisPrior DistributionsAutomated MCMC AlgorithmMarginal LikelihoodOUTPUT OUT= Data SetOUTEST= Data SetODS Table NamesODS Graphics
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Examples
- References
RESTRICT Statement
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RESTRICT restriction1 <, restriction2 …>;
The RESTRICT statement imposes linear restrictions on the parameter estimates. You can specify any number of RESTRICT statements.
Each restriction is written as an expression, followed by an equality operator (=) or an inequality operator (<, >, <=, >=), followed by a second expression:
expression operator expression
The operator can be =, <, >, <=, or >=.
Restriction expressions can be composed of parameter names, constants, and the operators times (
), plus (
), and minus (
). The restriction expressions must be a linear function of the parameters. Please refer to the section Parameter Naming Conventions for the RESTRICT, TEST, BOUNDS, and INIT Statements for more information on how parameters are named in the RESTRICT statement.
Lagrange multipliers are reported in the “Parameter Estimates” table for all the active linear constraints. They are identified
with the names Restrict1, Restrict2, and so on. The probabilities of these Lagrange multipliers are computed using a beta distribution (LaMotte 1994). Nonactive (nonbinding) restrictions have no effect on the estimation results and are not noted in the output.
The following RESTRICT statement constrains the negative binomial dispersion parameter 
to 1, which restricts the conditional variance to be 
:
restrict _Alpha = 1;
The RESTRICT statement is not supported if you also specify a BAYES statement. In Bayesian analysis, the restrictions on parameters are usually introduced through the prior distribution.