PROXMAP

PROXMAP is available in the .

PROXMAP is a dimensionality reduction procedure that constructs a low-dimensional spatial representation of proximity data (such as distances or other dissimilarity and similarity measures) between objects (cases). Proximities are represented as distances between points in a low-dimensional space and might be provided directly or computed from multivariate data.

Unlike linear projection methods, PROXMAP minimizes the discrepancy between proximities and distances in the low-dimensional solution. The procedure supports individual differences models when multiple data sources are available.

Notation

• A forward slash (/) indicates a subcommand.
• Square brackets ([ ]) indicate optional subcommands and keywords.
• Braces ({ }) indicate a choice between elements.
• A single asterisk (*) is in effect when a subcommand and/or keyword appears without (further) specification.
• A double asterisk (**) is in effect if a subcommand is omitted or no keyword is specified.
• n is an integer for which the possible values depend on the subcommand or keyword.
• value is a real number for which the possible values depend on the subcommand or keyword.
• srcname is the name of a source (matrix), following system variable name conventions.
• srclist is a list of source names.
• varname is the name of a variable.
• varlist is a list of variable names.

/SOURCEID] NAME = $srcname
           DATA = varlist
           [LABEL = ’label’]
           [WEIGHTS = varlist]
[/SOURCEID ...]
[/DATA 	{MULTIVARIATE**} ][= 	{EUCLIDEAN     }]
                                                    {STANDARDIZED**}
              {PROXIMITIES   }
[/WEIGHTS {NONE**}]
          {SAMMON}
          {ENERGY}
[/OBJECTID [LABELS = varname ]]
           [WEIGHTS = varname]
[/INITIAL {CLASSICAL** [{CONSTANT = {‘0.0’*    }}]}]
                                    {'value'   }
                                    {'ESTIMATE'}
                         {RANKINGS               }
         {VARIABLES = varlist
[/CONDITION {MATRIX**     }]
            {UNCONDITIONAL}    
/TRANSFORMATIONS [SOURCES = srclist]
    FUNCTION = {NONE }]
               {INTERCEPT }
               {LINEAR [INTERCEPT = {NO    }] }
                                    {YES*}
               {POWER [INTERCEPT = {NO  }] }
                                   {YES*}
               {SPLINE [INTERCEPT = {NO    }] }
                                     {YES*}
                       [DEGREE = {2}]
                                 {n}
                       [INKNOTS = {2}]
                                  {n}
                       [PLACEMENT = {INTERVALS*    }]
                                    {PERCENTILES}
               {ORDINAL** [APPROACH = {KEEPTIES} ]}
                                      {UNTIE*     }
[/TRANSFORMATIONS ...]
[/MODEL {IDENTITY**        }]
        {DILATION          }
        {WEIGHTED          }
        {GENERALIZED [RANK = {n-1** }]}
                             {n     }
[/ATTRIBUTES [VARIABLES = varlist]
    [FUNCTION = {LINEAR }]
               {SPLINE** [DEGREE = {2*}] }
                                   {n }
                         [INKNOTS = {2*}]
                                    {n }
                         [PLACEMENT = {INTERVALS* }]
                                      {PERCENTILES}
                         [MONOTONIC = {YES*}]
                                      {NO  }
               {ORDINAL [APPROACH = {KEEPTIES}] }
                                    {UNTIE   }
               {NOMINAL}
[/ATTRIBUTES ...]
[/PROPERTIES [VARIABLES = varlist]
    [FUNCTION = {LINEAR }]
               {SPLINE** [DEGREE = {2*}] }
                                   {n }
                         [INKNOTS = {2*}]
                                    {n }
                         [PLACEMENT = {INTERVALS* }]
                                      {PERCENTILES}
                         [MONOTONIC = {YES*}]
                                      {NO  }
               {ORDINAL [APPROACH = {KEEPTIES}] }
                                    {UNTIE   }
               {NOMINAL}
[/PROPERTIES ...]
[/CRITERIA [DIMENSIONS = {2* }]]
                         {n  }
           [MAXIMUM = {1000* }]
                       {n    }
           [MINIMUM = {0.000001* }]
                      {value     }
           [RELATIVE = {0.000000000001* }]
                       {value           }
           [ABSOLUTE = {0.000001* }]
                       {value     }
           [STANDARDIZATION = {"N"* }]
                              {"N-1"}
           [REFLECTION = {NONE*                            }]
                         {CORRELATION                      }
                         {QUADRANT                         }
                         {DIMENSIONS NUMBERS = = {+1} [...]}
                                                 {-1       }
[/PRINT [DATA [([RAW]
              [COMBINED]
              [DERIVED])]]
        [WEIGHTS [([RAW]
                 [OBJECTS]
                 [DERIVED])]]
        [INITIAL [([COORDINATES]
                   [VARDIRECTIONS]
                   [PROPERTYDIRECTIONS]
                   [STRESS]
                   [DIAGNOSTICS])]]
        [MODEL [([COORDINATES]   
                 [DIRECTIONS]
                 [SPACEWEIGHTS])]]
        [ATTRIBUTES [([RAW]
                    [ TRANSFORMED]
                    [ FITTED]
                    [ATTRIBUTE_WEIGHTS]
                    [DIRECTIONS])]]
        [PROPERTIES [([RAW]
                      [TRANSFORMED]
                      [FITTED]
                      [DIRECTIONS])]]
        [CRITERIA [([SUMMARY** ]
                    [DIAGNOSTICS]
                    [ITERATIONS]
                    [STRESS])]]]
[/PLOT [DATA [([HISTOGRAM]
       [WEIGHTS [([HISTOGRAM]
       [INITIAL [([CONFIGURATION]
                  [MULTIVARIATEBIPLOT]
                  [PROPERTIES]
                  [SCREE]
                  [STRESS])]]
       [MODEL [([CONFIGURATION**]
                [MULTIVARIATEBIPLOT]
                [REDUCEDRANKBIPLOT]
                [TREE]
                [NEIGHBORS[({2*})]]
                            {n }
                [THRESHOLD[({0.33*})]]
                             {value}
                [INDIVIDUAL[(srclist)]]
                [SPACEWEIGHTS]
                [TRANSFORMATION[(srclist)]]
                [RESIDUALS[(srclist)]]
                [FIT[(srclist)]]
                [SHEPARD[(srclist)]])]]
       [ATTRIBUTES [([BIPLOT[(varlist)]
                     [PROJECTIONS]
                     [TRANSFORMATION[(varlist)]]
                     [RESIDUALS[(varlist)]])]]
       [PROPERTIES [([BIPLOT[(varlist)]
                     [PROJECTIONS]
                     [TRANSFORMATION[(varlist)]]
                     [RESIDUALS[(varlist)]])]]
       [CRITERIA [([ITERATIONS]
                   [STRESS])]]]
[/SAVE FILE ='savfile'
       [COORDINATES = [( [INITIAL]  
                         [FINAL* ]
                         [MODEL  ] ) ]]
       [PROXIMITIES = [( [DERIVED     ]
                         [COMBINED    ]
                         [TRANSFORMED*] ) ]]
       [ATTRIBUTES =  [( [TRANSFORMED*]
                         [FITTED      ] ) ]]
       [PROPERTIES =  [( [TRANSFORMED*]
                         [FITTED      ] ) ]] ]