data
data(Mental)
Mental.tab <- xtabs(Freq ~ mental+ses, data=Mental)
correspondence analysis
ca(Mental.tab)
##
## Principal inertias (eigenvalues):
## 1 2 3
## Value 0.026025 0.001379 0.000298
## Percentage 93.95% 4.98% 1.08%
##
##
## Rows:
## Well Mild Moderate Impaired
## Mass 0.1849 0.362651 0.21807 0.2343
## ChiDist 0.2608 0.042750 0.07140 0.2387
## Inertia 0.0126 0.000663 0.00111 0.0133
## Dim. 1 -1.6088 -0.183408 0.08808 1.4715
## Dim. 2 0.3259 0.636852 -1.88225 0.5089
##
##
## Columns:
## 1 2 3 4 5 6
## Mass 0.15783 0.14759 0.172892 0.231325 0.15964 0.1307
## ChiDist 0.18402 0.18737 0.063947 0.044398 0.17136 0.2943
## Inertia 0.00534 0.00518 0.000707 0.000456 0.00469 0.0113
## Dim. 1 -1.12156 -1.14675 -0.365921 0.055088 1.02523 1.7833
## Dim. 2 -0.51829 -0.31304 -0.597693 1.133091 1.17420 -1.6693
Plot the ca solution
plot(ca(Mental.tab), lines = TRUE)
![](data:image/png;base64,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)
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