Description Usage Arguments Details Value Author(s) References See Also Examples
This function summarizes the results of SimAn
.
1 2 
object 
The output of the simultaneous analysis (class 'SimAn') 
oar 
Output for active rows (1 = yes, 0 = no) 
oac 
Output for active columns (1 = yes, 0 = no) 
... 
Further arguments passed to or from other methods 
The function summary.SimAn
gives the detailed numerical results of the
SimAn
function.
In its first stage simultaneous analysis performs a simple correspondence
analysis of each table, so the summary contains the separate correspondence
analysis of each table as provided by the CorrAn
function.
The joint analysis of all the tables is performed in the second stage of the simultaneous analysis and total inertia, the eigenvalues, percentages of explained inertia and cumulated percentages of explained inertia for all dimensions are listed. The output also contains for the overall rows and for the columns of the tables, the masses, chisquared distances and, by default restricted to the first two dimensions, projections of points on each dimension or principal coordinates, contributions of the points to the dimensions and squared correlations. For partial rows and for supplementary elements the same results are listed except for contributions of the points to the dimensions.
The output of summary.SimAn
also contains the relations between overall
rows and partial rows, the relations between the factors of the CA of the
different tables, the relations between the factors of the SA and the factors
of the separate CA of the different tables, the projections of the tables and
the contributions of each table
to the principal axes.
Results of separate correspondence analysis of each table:
Total inertia 
Total inertia, as a measure of the total variance of the data table 
Eigenvalues and percentages of inertia 
Eigenvalues or principal inertias and percentages of explained inertia 
Output for rows 
Masses, chisquared distances of points to their average, projections of points on each dimension, contributions and squared correlations 
Output for columns 
Masses, chisquared distances of points to their average, projections of points on each dimension, contributions and squared correlations 
Output for supplementary rows 
Masses, chisquared distances of points to their average, projections of points on each dimension and squared correlations 
Output for supplementary columns 
Masses, chisquared distances of points to their average, projections of points on each dimension and squared correlations 
Results of simultaneous analysis of the set of tables:
Total inertia 
Total inertia, as a measure of the total variance of the data table 
Eigenvalues and percentages of inertia 
Eigenvalues or principal inertias 
Output for rows 
Masses, chisquared distances of points to their average, projections of points on each dimension, contributions and squared correlations 
Output for columns 
Masses, chisquared distances of points to their average, projections of points on each dimension, contributions and squared correlations 
Output for partial rows 
Masses, chisquared distances of points to their average, projections of points on each dimension and squared correlations (if multiple = 0) 
Output for partial columns 
Masses, chisquared distances of points to their average, projections of points on each dimension and squared correlations (if multiple = 1) 
Projections of tables 
Projections of each table on each dimension 
Contributions of tables to SA 
Contributions of each table to the dimensions 
Relation between overall and partial rows 
Relation between overall and partial rows (if multiple = 0) 
Relation between overall and partial columns 
Relation between overall and partial columns (if multiple = 1) 
Relation between factors of separate CA 
Relation between factors of separate correspondence analysis 
Relation between factors of CA and SA 
Relation between factors of correspondence analysis and simultaneous analysis 
Output for supplementary rows 
Masses, chisquared distances of points to their average, projections of points on each dimension and squared correlations 
Output for supplementary columns 
Masses, chisquared distances of points to their average, projections of points on each dimension and squared correlations 
Output for supplementary partial rows 
Masses, chisquared distances of points to their average, projections of points on each dimension and squared correlations (if multiple = 0) 
Output for supplementary partial columns 
Masses, chisquared distances of points to their average, projections of points on each dimension and squared correlations (if multiple = 1) 
Amaya Zarraga, Beatriz Goitisolo
Goitisolo, B. (2002). El Analisis Simultaneo. Propuesta y aplicacion de un nuevo metodo de analisis factorial de tablas de contingencia. Phd thesis, Basque Country University Press, Bilbao.
Zarraga, A. & Goitisolo, B. (2002). Methode factorielle pour l analyse simultanee de tableaux de contingence. Revue de Statistique Appliquee, L, 47–70
Zarraga, A. & Goitisolo, B. (2003). Etude de la structure intertableaux a travers l Analyse Simultanee, Revue de Statistique Appliquee, LI, 39–60.
Zarraga, A. and Goitisolo, B. (2006). Simultaneous analysis: A joint study of several contingency tables with different margins. In: M. Greenacre, J. Blasius (Eds.), Multiple Correspondence Analysis and Related Methods, Chapman & Hall/CRC, Boca Raton, Fl, 327–350.
Zarraga, A. & Goitisolo, B. (2009). Simultaneous analysis and multiple factor analysis for contingency tables: Two methods for the joint study of contingency tables. Computational Statistics and Data Analysis, 53, 3171–3182.
1 2 3 4 5 6 7 8 9  data(shoplifting)
dataSA < shoplifting
### SA without supplementary elements
SimAn.out < SimAn(data=dataSA, G=2, acg=list(1:9,10:18), weight= 2,
nameg=c("M", "F"))
### Summary without output for columns
summary(SimAn.out, oac=0)

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