If you specify the SIMPLE option and the data are coordinates, PROC MODECLUS displays the following simple descriptive statistics for each variable:
the mean
the standard deviation
the skewness
the kurtosis
a coefficient of bimodality (see Chapter 31: The CLUSTER Procedure,)
If you specify the NEIGHBOR option, PROC MODECLUS displays a list of neighbors for each observation. The table contains the following items:
the observation number or ID value of the observation
the observation number or ID value of each of its neighbors
the distance to each neighbor
If you specify the CROSSLIST option, PROC MODECLUS produces a table of information regarding cross validation of the density estimates. Each table has a row for each observation. For each observation, the following are displayed:
the observation number or ID value of the observation
the radius of the neighborhood
the number of neighbors
the estimated log density
the estimated cross validated log density
If you specify the LOCAL option, PROC MODECLUS produces a table of information regarding estimates of local dimensionality. Each table has a row for each observation. For each observation, the following are displayed:
the observation number or ID value of the observation
the radius of the neighborhood
the estimated local dimensionality
If you specify the LIST option, PROC MODECLUS produces a table listing the observations within each cluster. The table includes the following items:
the cluster number
the observation number or ID value of the observation
the estimated density
the sum of the density estimates of observations within the neighborhood that belong to the same cluster
the sum of the density estimates of observations within the neighborhood that belong to a different cluster
the sum of the density estimates of all the observations within the neighborhood
the ratio of the sum of the density estimates for the same cluster to the sum of all the density estimates in the neighborhood
If you specify the LIST option and there are unassigned objects, PROC MODECLUS produces a table listing those observations. The table includes the following items:
the observation number or ID value of the observation
the estimated density
the ratio of the sum of the density estimates for the same cluster to the sum of the density estimates in the neighborhood for all other clusters
If you specify the BOUNDARY option, PROC MODECLUS produces a table listing the observations in each cluster that have a neighbor belonging to a different cluster. The table includes the following items:
the observation number or ID value of the observation
the estimated density
the cluster number
the ratio of the sum of the density estimates for the same cluster to the sum of the density estimates in the neighborhood for all other clusters
If you do not specify the SHORT option, PROC MODECLUS produces a table of cluster statistics including the following items:
the cluster number
the cluster frequency (the number of observations in the cluster)
the maximum estimated density within the cluster
the number of observations in the cluster having a neighbor that belongs to a different cluster
the estimated saddle density of the cluster
If you specify the TEST or JOIN option, the table of cluster statistics includes the following items pertaining to the saddle test:
the number of observations within the fixed-radius density-estimation neighborhood of the modal observation
the number of observations within the fixed-radius density-estimation neighborhood of the saddle observation
the number of observations within the overlap of the two preceding neighborhoods
the z statistic for comparing the preceding counts
the approximate p-value
If you do not specify the NOSUMMARY option, PROC MODECLUS produces a table summarizing each cluster solution containing the following items:
the smoothing parameters and cascade value
the number of clusters
the frequency of unclassified objects
the likelihood cross validation criterion if you specify the CROSS or CROSSLIST option
If you specify the JOIN option, the summary table also includes the following items:
the number of clusters joined
the maximum p-value of any cluster in the solution
If you specify the TRACE option, PROC MODECLUS produces a table for each cluster solution that lists each observation along with its cluster membership as it is reassigned from the “Old” cluster to the “New” cluster. This reassignment is described in Step 1 through Step 3 of the section METHOD=6. Each table has a row for each observation. For each observation, the following are displayed:
the observation number or ID value of the observation
the estimated density
the “Old” cluster membership. 0 represents an unassigned observation and –1 represents a seed.
the “New” cluster membership
“Ratio,” which is documented in the section METHOD=6. The following character values can also be displayed:
means the observation is a mode
means the observation is a seed
means the neighbor of a mode or seed, for which the ratio is not computed