Summary of results of CA variants analysis

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Description

This function prints summary results of any of the specified six variants of correspondence analysis. The input parameter is the name of the output of the main function CAvariants.

Usage

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## S3 method for class 'CAvariants'
summary(object,printdims,digits,...)

Arguments

object

The output of the main function CAvariants.

printdims

The dimension number in printing. By default, printdims = 3.

digits

The minimum number of significant digits to be printed in values. By default, digits = 3.

...

Further arguments passed to or from other methods.

Value

The value of output returned depends on the kind of correspondence analysis performed.

Inertias

The inertia value and its percentage, in the row and column space for each principal or polynomial axis when catype is "DOCA", "DONSCA", "SOCA" or "SONSCA". When catype is "CA" or "NSCA", the associated inertia values in the row and column spaces are the same.

Generalized correlation matrix

The generalized correlation matrix when catype is "DOCA", "DONSCA", "SOCA" or "SONSCA".

Row principal coordinates

The row principal coordinates when catype is "CA" or "NSCA".

Column principal coordinates

The column principal coordinates when catype is "CA" or "NSCA".

Row standard coordinates

The row standard coordinates when catype is "CA" or "NSCA".

Column standard coordinates

The column standard coordinates when catype is "CA" or "NSCA".

Row principal polynomial coordinates

The row principal polynomial coordinates when catype is "DOCA", "DONSCA", "SOCA" or "SONSCA".

Column principal polynomial coordinates

The column principal coordinates when catype is "DOCA","DONSCA".

Row standard polynomial coordinates

The row standard polynomial coordinates when catype is "DOCA" or "DONSCA".

Column standard polynomial coordinates

The column standard polynomial coordinates when catype is "DOCA", "DONSCA", "SOCA", "SONSCA".

Total inertia

The total inertia. For example in case of non symmetrical correspondence analysis, it gives the numerator of the Goodman-Kruskal tau index, the associated C-statistic and its p-value.

Polynomial components

The polynomial components of inertia and their p-values. The inertia of the column space is partitioned in terms of polynomial components when catype is "SOCA" or "SONSCA". The inertia of the row and column space is partitioned in terms of polynomial components when catype is "DOCA" or "DONSCA".

Inner product

The inner product of coordinates.

Author(s)

Rosaria Lombardo and Eric J. Beh

References

Beh EJ and Lombardo R 2014 Correspondence Analysis: Theory, Practice and New Strategies. John Wiley & Sons.

Examples

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asbestos<-matrix(c(310, 36, 0, 0, 212, 158, 9, 0, 21, 35, 17, 4, 25,102,  
49, 18, 7, 35, 51, 28), 4, 5, dimnames = list(c("none","grade1", "grade2", "grade3"), 
c("0-9", "10-19", "20-29", "30-39", "40")))
risasbestos<-CAvariants(asbestos, catype = "DOCA", firstaxis = 1, lastaxis = 2) 
summary.CAvariants(risasbestos)