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  • how to interpret the mean of a MCA analysis?

    Hi how are you? I hope this email finds you well.

    I've been building an index with the command MCA using categorical variables. I did all the process as shown below, the point is that I don't really know how to interpret the mean of the index (this is a wealth index including variables regarding dwelling and personal features).

    I've read the help document of STATA, but I still confuse about that interpreting. I hope you can help me with this.

    Variable Obs Mean Std. Dev. Min Max
    f1 48,609 -.6248209 .7471859 -1.260.729 199.261
    principal cumul
    Dimension inertia percent percent
    ------------+----------------------------------
    dim 1 .0503024 48.47 48.47
    dim 2 .0159291 15.35 63.82
    dim 3 .0071687 6.91 70.72
    dim 4 .0047689 4.60 75.32
    dim 5 .0028041 2.70 78.02
    dim 6 .0016678 1.61 79.63
    dim 7 .0007326 0.71 80.33
    dim 8 .0004205 0.41 80.74
    dim 9 .0002352 0.23 80.97
    dim 10 .000087 0.08 81.05
    dim 11 .0000509 0.05 81.10
    dim 12 .0000414 0.04 81.14
    dim 13 .0000111 0.01 81.15
    dim 14 7.45e-06 0.01 81.16
    dim 15 1.54e-06 0.00 81.16
    dim 16 8.61e-07 0.00 81.16
    dim 17 1.15e-07 0.00 81.16
    dim 18 5.79e-08 0.00 81.16
    dim 19 5.92e-09 0.00 81.16
    dim 20 5.19e-10 0.00 81.16
    ------------+----------------------------------
    Total .1037835 100.00
    overall dimension_1 dimension_2
    Categories mass quality %inert coord sqcorr contrib coord sqcorr contrib
    pared
    1 0.000 0.148 0.000 0.980 0.057 0.000 2.192 0.091 0.000
    2 0.000 0.138 0.000 0.552 0.037 0.000 1.629 0.101 0.000
    3 0.000 0.296 0.000 1.428 0.272 0.000 -0.757 0.024 0.000
    4 0.003 0.406 0.019 -1.531 0.194 0.007 2.851 0.212 0.026
    6 0.040 0.390 0.002 0.117 0.176 0.001 -0.229 0.214 0.002
    -------------+---------------------------+---------------------------+---------------------------
    piso
    1 0.008 0.384 0.017 -0.502 0.056 0.002 2.155 0.328 0.037
    2 0.000 0.148 0.000 -1.713 0.121 0.000 1.439 0.027 0.000
    3 0.030 0.005 0.003 0.029 0.004 0.000 -0.030 0.001 0.000
    4 0.004 0.574 0.017 -0.683 0.050 0.002 -3.919 0.524 0.059
    5 0.002 0.788 0.013 3.584 0.781 0.021 -0.593 0.007 0.001
    -------------+---------------------------+---------------------------+---------------------------
    alcanta
    1 0.010 0.758 0.026 -0.775 0.112 0.006 -3.310 0.647 0.108
    2 0.034 0.758 0.007 0.227 0.112 0.002 0.969 0.647 0.032
    -------------+---------------------------+---------------------------+---------------------------
    telefono
    1 0.002 0.516 0.021 -1.029 0.048 0.002 -5.738 0.468 0.063
    2 0.042 0.516 0.001 0.047 0.048 0.000 0.264 0.468 0.003
    -------------+---------------------------+---------------------------+---------------------------
    energia
    1 0.043 0.053 0.000 0.000 0.024 0.000 -0.001 0.029 0.000
    2 0.000 0.053 0.000 -1.122 0.024 0.000 2.207 0.029 0.000
    -------------+---------------------------+---------------------------+---------------------------
    gas
    1 0.015 0.764 0.015 -0.644 0.200 0.006 -1.919 0.563 0.056
    2 0.028 0.764 0.008 0.347 0.200 0.003 1.035 0.563 0.030
    -------------+---------------------------+---------------------------+---------------------------
    basura
    1 0.027 0.241 0.007 -0.009 0.000 0.000 -0.635 0.241 0.011
    2 0.017 0.241 0.011 0.015 0.000 0.000 1.035 0.241 0.018
    -------------+---------------------------+---------------------------+---------------------------
    acueduc
    1 0.037 0.483 0.003 -0.169 0.197 0.001 -0.363 0.287 0.005
    2 0.006 0.483 0.016 1.003 0.197 0.006 2.151 0.287 0.029
    -------------+---------------------------+---------------------------+---------------------------
    agua
    1 0.004 0.189 0.009 0.648 0.084 0.002 1.284 0.105 0.006
    2 0.036 0.319 0.002 0.019 0.002 0.000 0.379 0.316 0.005
    3 0.004 0.573 0.025 -0.778 0.048 0.002 -4.589 0.525 0.084
    -------------+---------------------------+---------------------------+---------------------------
    sanitar
    0 0.012 0.870 0.063 3.044 0.867 0.113 0.314 0.003 0.001
    1 0.004 0.390 0.012 -0.840 0.118 0.003 -2.264 0.272 0.022
    2 0.000 0.052 0.000 -0.426 0.045 0.000 0.300 0.007 0.000
    3 0.022 0.769 0.019 -1.165 0.729 0.029 -0.485 0.040 0.005
    4 0.005 0.567 0.025 -1.575 0.257 0.013 3.077 0.310 0.050
    -------------+---------------------------+---------------------------+---------------------------
    tsanitar
    0 0.013 0.870 0.055 2.717 0.869 0.099 0.100 0.000 0.000
    1 0.029 0.847 0.025 -1.209 0.826 0.042 -0.345 0.021 0.003
    2 0.002 0.319 0.025 -1.166 0.039 0.002 5.519 0.279 0.046
    3 0.000 0.151 0.000 -0.921 0.025 0.000 3.633 0.125 0.000
    4 0.000 0.295 0.000 -1.573 0.052 0.000 6.077 0.243 0.001
    -------------+---------------------------+---------------------------+---------------------------
    usanitar
    0 0.012 0.870 0.063 3.044 0.867 0.113 0.313 0.003 0.001
    1 0.000 0.004 0.000 -0.101 0.001 0.000 -0.272 0.003 0.000
    2 0.016 0.540 0.020 -1.045 0.423 0.017 -0.978 0.117 0.015
    3 0.016 0.631 0.024 -1.339 0.576 0.028 0.735 0.055 0.008
    -------------+---------------------------+---------------------------+---------------------------
    usosani
    0 0.012 0.870 0.063 3.044 0.867 0.113 0.313 0.003 0.001
    1 0.004 0.088 0.021 -0.921 0.085 0.004 -0.269 0.002 0.000
    2 0.027 0.784 0.025 -1.231 0.782 0.041 -0.099 0.002 0.000
    -------------+---------------------------+---------------------------+---------------------------
    cocinan
    0 0.000 0.093 0.000 0.699 0.090 0.000 0.217 0.003 0.000
    1 0.012 0.841 0.031 2.070 0.823 0.053 -0.539 0.018 0.004
    2 0.001 0.309 0.018 -1.159 0.050 0.002 -4.718 0.260 0.030
    3 0.002 0.301 0.026 2.751 0.256 0.014 2.056 0.045 0.008
    4 0.000 0.098 0.001 -0.328 0.040 0.000 -0.696 0.058 0.000
    5 0.026 0.846 0.017 -1.054 0.824 0.029 0.301 0.021 0.002
    6 0.002 0.155 0.009 -1.194 0.119 0.002 1.158 0.035 0.002
    -------------+---------------------------+---------------------------+---------------------------
    nevera
    1 0.026 0.803 0.017 -0.860 0.556 0.019 1.020 0.248 0.027
    2 0.018 0.803 0.024 1.237 0.556 0.027 -1.467 0.248 0.038
    -------------+---------------------------+---------------------------+---------------------------
    lavadora
    1 0.005 0.386 0.015 -1.449 0.307 0.010 1.306 0.079 0.008
    2 0.039 0.386 0.002 0.174 0.307 0.001 -0.156 0.079 0.001
    -------------+---------------------------+---------------------------+---------------------------
    tvcolor
    1 0.029 0.826 0.017 -0.971 0.776 0.028 0.437 0.050 0.006
    2 0.014 0.826 0.036 2.007 0.776 0.057 -0.902 0.050 0.012
    -------------+---------------------------+---------------------------+---------------------------
    tvcable
    1 0.003 0.291 0.031 1.042 0.053 0.003 3.939 0.238 0.048
    2 0.040 0.291 0.002 -0.079 0.053 0.000 -0.299 0.238 0.004
    -------------+---------------------------+---------------------------+---------------------------
    aire
    1 0.003 0.173 0.021 0.874 0.055 0.002 2.290 0.119 0.017
    2 0.040 0.173 0.002 -0.068 0.055 0.000 -0.179 0.119 0.001
    -------------+---------------------------+---------------------------+---------------------------
    nivsis
    1 0.032 0.091 0.001 0.041 0.042 0.000 0.079 0.050 0.000
    2 0.010 0.256 0.001 -0.152 0.080 0.000 -0.399 0.175 0.002
    3 0.002 0.119 0.002 0.196 0.017 0.000 0.865 0.103 0.001
    4 0.000 0.309 0.000 -2.113 0.246 0.000 1.900 0.063 0.000
    -------------+---------------------------+---------------------------+---------------------------
    nivel_educ~o
    1 0.029 0.034 0.000 -0.013 0.005 0.000 0.057 0.029 0.000
    2 0.014 0.048 0.001 0.041 0.020 0.000 -0.087 0.028 0.000
    3 0.001 0.018 0.002 -0.125 0.006 0.000 -0.321 0.012 0.000
    -------------+---------------------------+---------------------------+---------------------------
    alumbra
    1 0.003 0.841 0.023 3.657 0.841 0.040 -0.136 0.000 0.000
    2 0.000 0.632 0.001 2.284 0.396 0.001 -3.130 0.236 0.002
    3 0.040 0.843 0.002 -0.285 0.841 0.003 0.025 0.002 0.000
    4 0.000 0.039 0.000 0.275 0.006 0.000 -1.120 0.033 0.000
    -------------+---------------------------+---------------------------+---------------------------
    ducha
    1 0.009 0.647 0.027 -1.551 0.379 0.021 2.316 0.268 0.047
    2 0.035 0.647 0.007 0.393 0.379 0.005 -0.587 0.268 0.012








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