The Eigenvalues of an Analysis

The table of the eigenvalues of the axes, the one interpret prints under its table: the variance of each axis, its percentage and the cumulated percentage, and for a multiple correspondence analysis Benzecri's modified rate, which corrects the raw percentages. It is read to choose how many axes to interpret.

Usage

eigenvalues(res, n_axes = 8L, color = TRUE, lang = NULL)

Arguments

res

An analysis made with multiple_correspondence_analysis, correspondence_analysis or principal_component_analysis (or with FactoMineR::MCA(), CA() or PCA(), or GDAtools::speMCA() or csMCA()).

n_axes

How many axes to print. When some are left out, a last row states how many the cloud has.

color

Set to FALSE to draw no data bar behind the percentages.

lang

NULL (the session's language), "en" or "fr".

Value

A tabxplor table, printed as options(tabxplor.print) says.

See also

[interpret()], [benzecri_mrv()].

Examples

data(tea, package = "FactoMineR")
res.mca <- multiple_correspondence_analysis(tea, 1:18)
eigenvalues(res.mca)
#> <div class="tx-scrollbox"><table class="tabxplor-tab" data-quarto-disable-processing="true"><thead><tr><th class="tx-span" colspan="1"></th><th class="tx-span" colspan="3">Variance</th><th class="tx-span" colspan="2">Benzecri</th></tr><tr><th class="tx-l tx-br tx-bl tx-rv" rowspan="2">Axe</th><th class="tx-r tx-num">eigenvalue</th><th class="tx-r tx-num">% variance</th><th class="tx-r tx-num tx-br">cumul.</th><th class="tx-r tx-num">Benzecri's<br>modified rate</th><th class="tx-r tx-num tx-br">cumul. mod.</th></tr><tr><th class="tx-r tx-num tx-unit">&lt;var&gt;</th><th class="tx-r tx-num tx-unit">&lt;col%&gt;</th><th class="tx-r tx-num tx-br tx-unit"></th><th class="tx-r tx-num tx-unit">&lt;col%&gt;</th><th class="tx-r tx-num tx-br tx-unit"></th></tr></thead><tbody><tr><td class="tx-l tx-br tx-bl tx-rv">Axe 1</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="sd: 0.385 ; n: 300">0.148</td><td class="tx-r tx-num g2 tx-bar tx-bar-on" style="--tx-bar:100%" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">9.9%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">9.9%</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">55.4%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">55.4%</td></tr>
#> <tr><td class="tx-l tx-br tx-bl tx-rv">Axe 2</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="sd: 0.349 ; n: 300">0.122</td><td class="tx-r tx-num g2 tx-bar tx-bar-on" style="--tx-bar:82%" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">8.1%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">18.0%</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">28.1%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">83.4%</td></tr>
#> <tr><td class="tx-l tx-br tx-bl tx-rv">Axe 3</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="sd: 0.300 ; n: 300">0.090</td><td class="tx-r tx-num g2 tx-bar tx-bar-on" style="--tx-bar:60.7%" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">6.0%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">24.0%</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">7.6%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">91.1%</td></tr>
#> <tr><td class="tx-l tx-br tx-bl tx-rv">Axe 4</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="sd: 0.279 ; n: 300">0.078</td><td class="tx-r tx-num g2 tx-bar tx-bar-on" style="--tx-bar:52.6%" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">5.2%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">29.2%</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">3.3%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">94.3%</td></tr>
#> <tr><td class="tx-l tx-br tx-bl tx-rv">Axe 5</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="sd: 0.272 ; n: 300">0.074</td><td class="tx-r tx-num g2 tx-bar tx-bar-on" style="--tx-bar:49.7%" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">4.9%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">34.1%</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">2.1%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">96.5%</td></tr>
#> <tr><td class="tx-l tx-br tx-bl tx-rv">Axe 6</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="sd: 0.267 ; n: 300">0.071</td><td class="tx-r tx-num g2 tx-bar tx-bar-on" style="--tx-bar:48.1%" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">4.8%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">38.9%</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">1.6%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">98.1%</td></tr>
#> <tr><td class="tx-l tx-br tx-bl tx-rv">Axe 7</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="sd: 0.260 ; n: 300">0.068</td><td class="tx-r tx-num g2 tx-bar tx-bar-on" style="--tx-bar:45.7%" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">4.5%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">43.4%</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">1.0%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">99.1%</td></tr>
#> <tr><td class="tx-l tx-br tx-bl tx-rv">Axe 8</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="sd: 0.256 ; n: 300">0.065</td><td class="tx-r tx-num g2 tx-bar tx-bar-on" style="--tx-bar:44.1%" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">4.4%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">47.7%</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">0.6%</td><td class="tx-r tx-num tx-br g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">99.7%</td></tr>
#> <tr class="tx-bt"><td class="tx-l tx-br tx-bl tx-rv">... of 27</td><td class="tx-r tx-num">...</td><td class="tx-r tx-num">...</td><td class="tx-r tx-num tx-br">...</td><td class="tx-r tx-num">...</td><td class="tx-r tx-num tx-br">...</td></tr>
#> <tr class="tx-bb tx-bb2"><td class="tx-l tx-br tx-bl tx-rv">Total</td><td class="tx-r tx-num g2" data-toggle="tooltip" data-container="body" data-placement="auto right" title="sd: 1.225 ; n: 300">1.500</td><td class="tx-r tx-num tx-b" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">100%</td><td class="tx-r tx-num tx-br tx-b" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300"></td><td class="tx-r tx-num tx-b" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300">100%</td><td class="tx-r tx-num tx-br tx-b" data-toggle="tooltip" data-container="body" data-placement="auto right" title="n: 300"></td></tr></tbody></table></div>