Stata 11 help for mca postestimation

help mca postestimation dialogs: predict estat mcaplot mcaprojection screeplot also see: mca -------------------------------------------------------------------------------

Title

[MV] mca postestimation -- Postestimation tools for mca

Description

The following postestimation commands are of special interest after mca:

command description ------------------------------------------------------------------------- mcaplot plot of category coordinates mcaprojection MCA dimension projection plot estat coordinates display of category coordinates estat subinertia matrix of inertias of the active variables (after JCA only) estat summarize estimation sample summary screeplot plot principal inertias (eigenvalues) -------------------------------------------------------------------------

The following standard postestimation commands are also available:

command description ------------------------------------------------------------------------- * estimates cataloging estimation results predict row and category coordinates ------------------------------------------------------------------------- * All estimates subcommands except table and stats are available.

Special-interest postestimation commands

mcaplot produces a scatterplot of category points of the MCA variables in two dimensions.

mcaprojection produces a projection plot of the coordinates of the categories of the MCA variables.

estat coordinates displays the category coordinates, optionally with column statistics.

estat subinertia displays the matrix of inertias of the active variables (after JCA only).

estat summarize displays summary information of MCA variables over the estimation sample.

Syntax for predict

predict [type] newvar [if] [in] [, statistic normalize(norm) dimensions(#)]

predict [type] {stub*|newvarlist} [if] [in] [, statistic normalize(norm) dimensions(numlist)]

statistic description ------------------------------------------------------------------------- Main rowscores row scores (coordinates), the default score(varname) scores (coordinates) for MCA variable varname -------------------------------------------------------------------------

norm description ------------------------------------------------------------------------- standard use standard normalization prinicpal use principal normalization -------------------------------------------------------------------------

Menu

Statistics > Postestimation > Predictions, residuals, etc.

Options for predict

+------+ ----+ Main +-------------------------------------------------------------

rowscores specifies that row scores (row coordinates) be computed. The row scores returned are based on the indicator matrix approach to multiple correspondence analysis, even if another method was specified in the original mca estimation. The sample for which row scores are computed may exceed the estimation sample; e.g., it may include supplementary rows (variables). score() and rowscores are mutually exclusive. rowscores is the default.

score(varname) specifies the name of a variable from the preceding MCA for which scores should be computed. The variable may be a regular categorical variable, a crossed variable, or a supplementary variable. score() and rowscores are mutually exclusive.

+---------+ ----+ Options +----------------------------------------------------------

normalize(norm) specifies the normalization of the scores (coordinates). normalize(standard) returns coordinates in standard normalization. normalize(principal) returns principal scores. The default is the normalization method specified with mca during estimation, or normalize(standard) if no method was specified.

dimensions(#) or dimensions(numlist) specifies the dimensions for which scores (coordinates) are computed. The number of dimensions specified should equal the number of variables in newvarlist. If dimensions() is not specified, scores for dimensions 1,...,k are returned, where k is the number of variables in newvarlist. The number of variables in newvarlist should not exceed the number of dimensions extracted during estimation.

Syntax for estat coordinates

estat coordinates [varlist] [, normalize(norm) stats format(%fmt)]

Note: variables in varlist must be from the preceding mca and may refer to either a regular categorical variable or a crossed variable. The variables in varlist may also be chosen from the supplementary variables.

options description ------------------------------------------------------------------------- normalize(standard) standard coordinates normalize(principal) principal coordinates stats include mass, distance, and inertia format(%fmt) display format; default is format(%9.4f) -------------------------------------------------------------------------

Menu

Statistics > Postestimation > Predictions, residuals, etc.

Options for estat coordinates

normalize(norm) specifies the normalization of the scores (coordinates). normalize(standard) returns coordinates in standard normalization. normalize(principal) returns principal scores. The default is the normalization method specified with mca during estimation, or normalize(standard) if no method was specified.

stats includes the column mass, the distance of the columns to the centroid, and the column inertias in the table.

format(%fmt) specifies the display format for the matrix, e.g., format(%8.3f). The default is format(%9.4f).

Syntax for estat subinertia

estat subinertia

Menu

Statistics > Postestimation > Predictions, residuals, etc.

Syntax for estat summarize

estat summarize [, crossed labels noheader noweights ]

options description ------------------------------------------------------------------------- Main crossed summarize crossed and uncrossed variables as used labels display variable labels noheader suppress the header noweights ignore weights -------------------------------------------------------------------------

Menu

Statistics > Postestimation > Predictions, residuals, etc.

Options for estat summarize

+------+ ----+ Main +-------------------------------------------------------------

crossed specifies summarizing the crossed variables if crossed variables are used in the MCA, rather than the crossing variables from which they are formed. The default is to summarize the crossing variables and single categorical variables used in the MCA.

labels displays variable labels.

noheader suppresses the header.

noweights ignores the weights, if any. The default when weights are present is to perform a weighted summarize on all variables except the weight variable itself. An unweighted summarize is performed on the weight variable.

Syntax for mcaplot

mcaplot [speclist] [, options]

where

speclist = spec [spec ...]

and

spec = varlist | (varname [, plot_options])

and variables in varlist or varname must be from the preceding mca and may refer to either a regular categorical variable or a crossed variable. The variables may also be supplementary.

options description ------------------------------------------------------------------------- Options combine_options affect the rendition of the combined graphs overlay overlay the plots of the variables; default is to produce separate plots dimensions(#_1 #_2) display dimensions #_1 and #_2; default is dimension(2 1) normalize(standard) display standard coordinates normalize(principal) display principal coordinates maxlength(#) use # as maximum number of characters for labels; default is maxlength(12) xnegate negate the coordinates relative to the x axis ynegate negate the coordinates relative to the y axis origin mark the origin and draw origin axes originlopts(line_options) affect the rendition of the origin axes

Y axis, X axis, Titles, Legend, Overall twoway_options any options other than by() documented in [G] twoway_options -------------------------------------------------------------------------

plot_options description ------------------------------------------------------------------------- marker_options change look of markers (color, size, etc.) marker_label_options add marker labels; change look or position twoway_options titles, legends, axes, added lines and text, regions, etc. -------------------------------------------------------------------------

Menu

Statistics > Multivariate analysis > Correspondence analysis > Postestimation after MCA or JCA > Plot of category coordinates

Options for mcaplot

+-------+ ----+ Plots +------------------------------------------------------------

plot_options affect the rendition of markers, including their shape, size, color, and outline (see [G] marker_options) and specify if and how the markers are to be labeled (see [G] marker_label_options). These options may be specified for each variable. If the overlay option is not specified, then for each variable you may also specify many of the twoway_options excluding by(), name(), and aspectratio(). See the remarks with the other twoway_options below warning against using options such as xlabel(), xscale(), ylabel(), and yscale().

+---------+ ----+ Options +----------------------------------------------------------

combine_options affect the rendition of the combined plot; see [G] graph combine. combine_options may not be specified with overlay.

overlay overlays the biplot graphs for the variables. The default is to produce a combined graph of the biplot graphs.

dimension(#_1 #_2) identifies the dimensions to be displayed. For instance, dimension(3 2) plots the third dimension (vertically) versus the second dimension (horizontally). The dimension number cannot exceed the number of extracted dimensions. The default is dimension(2 1).

normalize(norm) specifies the normalization of the coordinates. normalize(standard) returns coordinates in standard normalization. normalize(principal) returns principal coordinates. The default is the normalization method specified with mca during estimation, or normalize(standard) if no method was specified.

maxlength(#) specifies the maximum number of characters for row and column labels; the default is maxlength(12).

xnegate specifies that the x-axis coordinates be negated (multiplied by -1).

ynegate specifies that the y-axis coordinates be negated (multiplied by -1).

origin marks the origin and draws the origin axes.

originlopts(line_options) affect the rendition of the origin axes. See [G] line_options.

+-----------------------------------------+ ----+ Y axis, X axis, Titles, Legend, Overall +--------------------------

twoway_options are any of the options documented in [G] twoway_options excluding by(). See the remarks below for a warning against using options such as xlabel(), xscale(), ylabel(), and yscale().

mcaplot automatically adjusts the aspect ratio on the basis of the range of the data and ensures that the axes are balanced. As an alternative, the twoway_option aspectratio() can be used to override the default aspect ratio. mcaplot accepts the aspectratio() option as a suggestion only and will override it when necessary to produce plots with balanced axes; i.e., distance on the x axis equals distance on the y axis.

twoway_options such as xlabel(), xscale(), ylabel(), and yscale() should be used with caution. These options are accepted but may have unintended side effects on the aspect ratio.

Syntax for mcaprojection

mcaprojection [speclist] [, options]

where

speclist = spec [spec ...]

and

spec = varlist | (varname [, plot_options])

and variables in varlist or varname must be from the preceding mca and may refer to either a regular categorical variable or a crossed variable. The variables may also be supplementary.

options description ------------------------------------------------------------------------- Options dimensions(numlist) display numlist dimensions; default is all normalize(principal) scores (coordinates) should be in principal normalization normalize(standard) scores (coordinates) should be in standard normalization alternate alternate labels maxlength(#) use # as maximum number of characters for labels; default is maxlength(12) combine_options affect the rendition of the combined graphs

Y axis, X axis, Titles, Legend, Overall twoway_options any options other than by() documented in [G] twoway_options -------------------------------------------------------------------------

plot_options description ------------------------------------------------------------------------- marker_options change look of markers (color, size, etc.) marker_label_options add marker labels; change look or position twoway_options titles, legends, axes, added lines and text, regions, etc. -------------------------------------------------------------------------

Menu

Statistics > Multivariate analysis > Correspondence analysis > Postestimation after MCA or JCA > Dimension projection plot

Options for mcaprojection

+-------+ ----+ Plots +------------------------------------------------------------

plot_options affect the rendition of markers, including their shape, size, color, and outline (see [G] marker_options) and specify if and how the markers are to be labeled (see [G] marker_label_options). These options may be specified for each variable. If the overlay option is not specified then for each variable you may also specify twoway_options excluding by() and name().

+---------+ ----+ Options +----------------------------------------------------------

dimensions(numlist) identifies the dimensions to be displayed. By default all dimensions are displayed.

normalize(norm) specifies the normalization of the coordinates. normalize(standard) returns coordinates in standard normalization. normalize(principal) returns principal coordinates. The default is the normalization method specified with mca during estimation, or normalize(standard) if no method was specified.

alternate causes adjacent labels to alternate sides.

maxlength(#) specifies the maximum number of characters for row and column labels; the default is maxlength(12).

combine_options affect the rendition of the combined plot; see [G] graph combine. These options may not be used if only one variable is specified.

+-----------------------------------------+ ----+ Y axis, X axis, Titles, Legend, Overall +--------------------------

twoway_options are any of the options documented in [G] twoway_options, excluding by().

Examples

Setup . webuse issp93 . mca A B C D, dimensions(2) suppl(age edu) method(joint)

Predict column coordinates and row coordinates . predict a1 a2, score(A) . predict r1 r2, rowscores norm(principal)

View the coordinates and the subinertia . estat coord, stats . estat subinertia

Biplots . mcaplot . mcaplot A B C, ynegate . mcaplot (A, mcolor(red) mlabcolor(red)) (B, mcolor(blue)), overlay

Dimension projection plots . mcaprojection . mcaprojection A B C, alternate

Saved results

estat summarize saves the following in r():

Matrices r(stats) k x 4 matrix of means, standard deviations, minimums, and maximums

estat coordinates saves the following in r()

Macros r(norm) the normalization method of the coordinates

Matrices r(Coord) column coordinates r(Stats) column statistics: mass, distance, and inertia (option stats only)

estat subinertia saves the following in r():

Matrices r(inertia_sub) variable-by-variable inertias

Also see

Manual: [MV] mca postestimation

Help: [MV] mca; [MV] ca, [MV] ca postestimation


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