angles.csa.RdComputes the cosines similarities and angles between the components of a CSA and those of a MCA.
angles.csa(rescsa, resmca)object of class csMCA
object of class MCA or speMCA
This function is adapted from csa.measures in sco.ca package.
A list of matrices:
Cosine similarities
Angles
Le Roux B. and Rouanet H., Multiple Correspondence Analysis, SAGE, Series: Quantitative Applications in the Social Sciences, Volume 163, CA:Thousand Oaks (2010).
Le Roux B. and Rouanet H., Geometric Data Analysis: From Correspondence Analysis to Stuctured Data Analysis, Kluwer Academic Publishers, Dordrecht (June 2004).
## Performs a specific MCA and a CSA on the Music example data set
## and computes cosine similarities and angles
data(Music)
junk <- c("FrenchPop.NA", "Rap.NA", "Rock.NA", "Jazz.NA", "Classical.NA")
resmca <- speMCA(Music[,1:5], excl = junk)
female <- Music$Gender=="Women"
rescsa <- csMCA(Music[,1:5], subcloud = female, excl = junk)
angles.csa(rescsa, resmca)
#> $cosines
#> mca.dim1 mca.dim2 mca.dim3 mca.dim4 mca.dim5 mca.dim1&2 mca.dim1&3
#> csa.dim1 -0.991 0.121 0.064 -0.130 0.023 0.999 0.993
#> csa.dim2 0.103 0.390 0.872 -0.314 0.196 0.403 0.878
#> csa.dim3 -0.078 -0.809 0.459 0.398 0.090 0.813 0.465
#> csa.dim4 -0.029 0.422 0.088 0.850 -0.046 0.423 0.092
#> csa.dim5 -0.002 -0.015 0.134 -0.050 -0.975 0.015 0.134
#> mca.dim1&4 mca.dim1&5 mca.dim2&3 mca.dim2&4 mca.dim2&5 mca.dim3&4
#> csa.dim1 1.000 0.991 0.137 0.178 0.123 0.145
#> csa.dim2 0.331 0.222 0.955 0.501 0.437 0.927
#> csa.dim3 0.406 0.120 0.930 0.902 0.814 0.607
#> csa.dim4 0.851 0.055 0.431 0.949 0.425 0.855
#> csa.dim5 0.050 0.975 0.135 0.052 0.975 0.143
#> mca.dim3&5 mca.dim4&5
#> csa.dim1 0.068 0.132
#> csa.dim2 0.894 0.371
#> csa.dim3 0.467 0.408
#> csa.dim4 0.099 0.852
#> csa.dim5 0.984 0.976
#>
#> $angles
#> mca.dim1 mca.dim2 mca.dim3 mca.dim4 mca.dim5 mca.dim1&2 mca.dim1&3
#> csa.dim1 7.6 83.0 86.3 82.5 88.7 3.1 6.7
#> csa.dim2 84.1 67.0 29.3 71.7 78.7 66.2 28.6
#> csa.dim3 85.5 36.0 62.7 66.5 84.8 35.6 62.3
#> csa.dim4 88.4 65.0 85.0 31.7 87.3 65.0 84.7
#> csa.dim5 89.9 89.1 82.3 87.2 12.8 89.1 82.3
#> mca.dim1&4 mca.dim1&5 mca.dim2&3 mca.dim2&4 mca.dim2&5 mca.dim3&4
#> csa.dim1 1.5 7.5 82.1 79.8 82.9 81.7
#> csa.dim2 70.7 77.2 17.3 59.9 64.1 22.1
#> csa.dim3 66.0 83.1 21.6 25.6 35.5 52.6
#> csa.dim4 31.7 86.9 64.4 18.3 64.9 31.3
#> csa.dim5 87.2 12.8 82.2 87.0 12.8 81.8
#> mca.dim3&5 mca.dim4&5
#> csa.dim1 86.1 82.4
#> csa.dim2 26.7 68.2
#> csa.dim3 62.1 65.9
#> csa.dim4 84.3 31.6
#> csa.dim5 10.2 12.5
#>