From 1ac324bb472abd3143dfebc212a2fb119d3fc88a Mon Sep 17 00:00:00 2001
From: Max Halford <maxhalford25@gmail.com>
Date: Sat, 4 Jan 2025 01:11:51 +0100
Subject: [PATCH] partial_row_coordinates

---
 docs/content/famd.ipynb |   2 +-
 docs/content/mfa.ipynb  | 477 ++++++++++++++++++++++++----------------
 docs/content/pca.ipynb  | 202 ++++++++---------
 prince/mfa.py           | 116 ++++++----
 4 files changed, 463 insertions(+), 334 deletions(-)

diff --git a/docs/content/famd.ipynb b/docs/content/famd.ipynb
index b6c0205..dadfe37 100644
--- a/docs/content/famd.ipynb
+++ b/docs/content/famd.ipynb
@@ -21,7 +21,7 @@
    "source": [
     "## Resources\n",
     "\n",
-    "🤷‍♂️"
+    "- [Wikipedia article](https://en.wikipedia.org/wiki/Factor_analysis_of_mixed_data)"
    ]
   },
   {
diff --git a/docs/content/mfa.ipynb b/docs/content/mfa.ipynb
index c04161c..30fab5a 100644
--- a/docs/content/mfa.ipynb
+++ b/docs/content/mfa.ipynb
@@ -28,7 +28,8 @@
    "metadata": {},
    "source": [
     "- [*Multiple Factor Analysis* by Hervé Abdi](https://www.utdallas.edu/~herve/Abdi-MFA2007-pretty.pdf)\n",
-    "- [*Multiple Factor Analysis: main features and application to sensory data* by Jérôme Pagès](http://factominer.free.fr/more/PagesAFM.pdf)"
+    "- [*Multiple Factor Analysis: main features and application to sensory data* by Jérôme Pagès](http://factominer.free.fr/more/PagesAFM.pdf)\n",
+    "- [Wikipedia article](https://en.wikipedia.org/wiki/Multiple_factor_analysis)"
    ]
   },
   {
@@ -478,7 +479,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
@@ -487,12 +488,14 @@
        "True"
       ]
      },
-     "execution_count": 2,
+     "execution_count": 4,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
+    "import pandas as pd\n",
+    "\n",
     "isinstance(dataset.columns, pd.MultiIndex)"
    ]
   },
@@ -514,7 +517,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 5,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:07.158550Z",
@@ -530,7 +533,7 @@
        "['2021-22', '2022-23', '2023-24']"
       ]
      },
-     "execution_count": 3,
+     "execution_count": 5,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -542,7 +545,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 6,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:07.170307Z",
@@ -592,7 +595,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 7,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:07.205973Z",
@@ -665,7 +668,7 @@
        "2              0.412        10.32%                     85.36%"
       ]
      },
-     "execution_count": 5,
+     "execution_count": 7,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -692,7 +695,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 8,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:07.266647Z",
@@ -842,7 +845,7 @@
        "Wolverhampton Wanderers -1.539976 -0.294226  0.882576"
       ]
      },
-     "execution_count": 6,
+     "execution_count": 8,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -852,16 +855,15 @@
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "However, all the other methods are not implemented yet. They will raise a `NotImplemented` exception if you call them."
+    "There is also a `partial_row_coordinates` method that returns the coordinates projected onto each group."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 9,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:07.290866Z",
@@ -895,13 +897,13 @@
        "<table border=\"1\" class=\"dataframe\">\n",
        "  <thead>\n",
        "    <tr>\n",
-       "      <th>group</th>\n",
+       "      <th></th>\n",
        "      <th colspan=\"3\" halign=\"left\">2021-22</th>\n",
        "      <th colspan=\"3\" halign=\"left\">2022-23</th>\n",
        "      <th colspan=\"3\" halign=\"left\">2023-24</th>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>component</th>\n",
+       "      <th></th>\n",
        "      <th>0</th>\n",
        "      <th>1</th>\n",
        "      <th>2</th>\n",
@@ -928,221 +930,221 @@
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>Arsenal</th>\n",
-       "      <td>2.582726</td>\n",
-       "      <td>-0.222694</td>\n",
-       "      <td>5.302243</td>\n",
-       "      <td>9.375186</td>\n",
-       "      <td>8.365184</td>\n",
-       "      <td>-3.088474</td>\n",
-       "      <td>13.152021</td>\n",
-       "      <td>3.470683</td>\n",
-       "      <td>5.617342</td>\n",
+       "      <td>0.690262</td>\n",
+       "      <td>-0.059517</td>\n",
+       "      <td>1.417084</td>\n",
+       "      <td>2.505624</td>\n",
+       "      <td>2.235689</td>\n",
+       "      <td>-0.825430</td>\n",
+       "      <td>3.515025</td>\n",
+       "      <td>0.927579</td>\n",
+       "      <td>1.501298</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>Aston Villa</th>\n",
-       "      <td>-4.508285</td>\n",
-       "      <td>6.762790</td>\n",
-       "      <td>3.360487</td>\n",
-       "      <td>0.425462</td>\n",
-       "      <td>-0.131248</td>\n",
-       "      <td>1.388393</td>\n",
-       "      <td>2.062462</td>\n",
-       "      <td>-0.117726</td>\n",
-       "      <td>0.459079</td>\n",
+       "      <td>-1.204890</td>\n",
+       "      <td>1.807432</td>\n",
+       "      <td>0.898128</td>\n",
+       "      <td>0.113710</td>\n",
+       "      <td>-0.035078</td>\n",
+       "      <td>0.371064</td>\n",
+       "      <td>0.551216</td>\n",
+       "      <td>-0.031464</td>\n",
+       "      <td>0.122694</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>Brentford</th>\n",
-       "      <td>-4.824699</td>\n",
-       "      <td>6.831446</td>\n",
-       "      <td>2.321044</td>\n",
-       "      <td>-0.913798</td>\n",
-       "      <td>1.656430</td>\n",
-       "      <td>-5.108336</td>\n",
-       "      <td>-8.488562</td>\n",
-       "      <td>-0.666794</td>\n",
-       "      <td>-2.719762</td>\n",
+       "      <td>-1.289455</td>\n",
+       "      <td>1.825781</td>\n",
+       "      <td>0.620325</td>\n",
+       "      <td>-0.244223</td>\n",
+       "      <td>0.442700</td>\n",
+       "      <td>-1.365260</td>\n",
+       "      <td>-2.268664</td>\n",
+       "      <td>-0.178208</td>\n",
+       "      <td>-0.726887</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>Brighton &amp; Hove Albion</th>\n",
-       "      <td>-3.836427</td>\n",
-       "      <td>0.863534</td>\n",
-       "      <td>-6.755643</td>\n",
-       "      <td>1.232951</td>\n",
-       "      <td>0.108793</td>\n",
-       "      <td>1.357369</td>\n",
-       "      <td>-6.377201</td>\n",
-       "      <td>-3.766425</td>\n",
-       "      <td>-4.755869</td>\n",
+       "      <td>-1.025328</td>\n",
+       "      <td>0.230789</td>\n",
+       "      <td>-1.805521</td>\n",
+       "      <td>0.329520</td>\n",
+       "      <td>0.029076</td>\n",
+       "      <td>0.362772</td>\n",
+       "      <td>-1.704379</td>\n",
+       "      <td>-1.006619</td>\n",
+       "      <td>-1.271060</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>Chelsea</th>\n",
-       "      <td>5.327119</td>\n",
-       "      <td>-8.454770</td>\n",
-       "      <td>-3.978688</td>\n",
-       "      <td>-5.636604</td>\n",
-       "      <td>-4.604590</td>\n",
-       "      <td>0.880535</td>\n",
-       "      <td>0.310700</td>\n",
-       "      <td>-1.015164</td>\n",
-       "      <td>-1.003918</td>\n",
+       "      <td>1.423732</td>\n",
+       "      <td>-2.259632</td>\n",
+       "      <td>-1.063349</td>\n",
+       "      <td>-1.506446</td>\n",
+       "      <td>-1.230628</td>\n",
+       "      <td>0.235333</td>\n",
+       "      <td>0.083038</td>\n",
+       "      <td>-0.271314</td>\n",
+       "      <td>-0.268308</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>Crystal Palace</th>\n",
-       "      <td>-4.139202</td>\n",
-       "      <td>1.363018</td>\n",
-       "      <td>-6.617784</td>\n",
-       "      <td>-5.658228</td>\n",
-       "      <td>-4.295532</td>\n",
-       "      <td>0.216513</td>\n",
-       "      <td>-5.085854</td>\n",
-       "      <td>-1.679302</td>\n",
-       "      <td>-2.682664</td>\n",
+       "      <td>-1.106248</td>\n",
+       "      <td>0.364282</td>\n",
+       "      <td>-1.768677</td>\n",
+       "      <td>-1.512225</td>\n",
+       "      <td>-1.148029</td>\n",
+       "      <td>0.057866</td>\n",
+       "      <td>-1.359252</td>\n",
+       "      <td>-0.448812</td>\n",
+       "      <td>-0.716972</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>Everton</th>\n",
-       "      <td>-7.578572</td>\n",
-       "      <td>11.276745</td>\n",
-       "      <td>3.996240</td>\n",
-       "      <td>-9.227286</td>\n",
-       "      <td>-8.594615</td>\n",
-       "      <td>3.749277</td>\n",
-       "      <td>-6.645565</td>\n",
-       "      <td>-0.613473</td>\n",
-       "      <td>-1.545628</td>\n",
+       "      <td>-2.025459</td>\n",
+       "      <td>3.013837</td>\n",
+       "      <td>1.068040</td>\n",
+       "      <td>-2.466096</td>\n",
+       "      <td>-2.297007</td>\n",
+       "      <td>1.002036</td>\n",
+       "      <td>-1.776102</td>\n",
+       "      <td>-0.163958</td>\n",
+       "      <td>-0.413086</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>Liverpool</th>\n",
-       "      <td>11.734074</td>\n",
-       "      <td>-14.796924</td>\n",
-       "      <td>-1.851494</td>\n",
-       "      <td>2.978462</td>\n",
-       "      <td>3.350864</td>\n",
-       "      <td>-2.858228</td>\n",
-       "      <td>8.447234</td>\n",
-       "      <td>-1.689651</td>\n",
-       "      <td>0.000318</td>\n",
+       "      <td>3.136063</td>\n",
+       "      <td>-3.954644</td>\n",
+       "      <td>-0.494832</td>\n",
+       "      <td>0.796027</td>\n",
+       "      <td>0.895556</td>\n",
+       "      <td>-0.763894</td>\n",
+       "      <td>2.257618</td>\n",
+       "      <td>-0.451578</td>\n",
+       "      <td>0.000085</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>Manchester City</th>\n",
-       "      <td>12.520592</td>\n",
-       "      <td>-14.730261</td>\n",
-       "      <td>0.218117</td>\n",
-       "      <td>12.365630</td>\n",
-       "      <td>11.578338</td>\n",
-       "      <td>-5.561443</td>\n",
-       "      <td>13.208791</td>\n",
-       "      <td>1.349510</td>\n",
-       "      <td>3.646564</td>\n",
+       "      <td>3.346269</td>\n",
+       "      <td>-3.936828</td>\n",
+       "      <td>0.058294</td>\n",
+       "      <td>3.304854</td>\n",
+       "      <td>3.094441</td>\n",
+       "      <td>-1.486358</td>\n",
+       "      <td>3.530198</td>\n",
+       "      <td>0.360672</td>\n",
+       "      <td>0.974585</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>Manchester United</th>\n",
-       "      <td>-1.730052</td>\n",
-       "      <td>2.061911</td>\n",
-       "      <td>-1.452460</td>\n",
-       "      <td>4.946706</td>\n",
-       "      <td>4.456987</td>\n",
-       "      <td>-0.769662</td>\n",
-       "      <td>-1.090109</td>\n",
-       "      <td>1.940399</td>\n",
-       "      <td>2.133472</td>\n",
+       "      <td>-0.462376</td>\n",
+       "      <td>0.551069</td>\n",
+       "      <td>-0.388186</td>\n",
+       "      <td>1.322063</td>\n",
+       "      <td>1.191180</td>\n",
+       "      <td>-0.205701</td>\n",
+       "      <td>-0.291344</td>\n",
+       "      <td>0.518593</td>\n",
+       "      <td>0.570194</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>Newcastle United</th>\n",
-       "      <td>-5.201489</td>\n",
-       "      <td>6.386372</td>\n",
-       "      <td>-0.844926</td>\n",
-       "      <td>4.251222</td>\n",
-       "      <td>7.896945</td>\n",
-       "      <td>-10.455630</td>\n",
-       "      <td>0.898003</td>\n",
-       "      <td>2.132321</td>\n",
-       "      <td>1.507860</td>\n",
+       "      <td>-1.390156</td>\n",
+       "      <td>1.706830</td>\n",
+       "      <td>-0.225816</td>\n",
+       "      <td>1.136187</td>\n",
+       "      <td>2.110547</td>\n",
+       "      <td>-2.794385</td>\n",
+       "      <td>0.240001</td>\n",
+       "      <td>0.569887</td>\n",
+       "      <td>0.402993</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>Tottenham Hotspur</th>\n",
-       "      <td>4.108539</td>\n",
-       "      <td>-3.608186</td>\n",
-       "      <td>2.811348</td>\n",
-       "      <td>-0.139551</td>\n",
-       "      <td>-2.946246</td>\n",
-       "      <td>6.067043</td>\n",
-       "      <td>1.762060</td>\n",
-       "      <td>1.874126</td>\n",
-       "      <td>2.258220</td>\n",
+       "      <td>1.098053</td>\n",
+       "      <td>-0.964328</td>\n",
+       "      <td>0.751364</td>\n",
+       "      <td>-0.037297</td>\n",
+       "      <td>-0.787417</td>\n",
+       "      <td>1.621485</td>\n",
+       "      <td>0.470930</td>\n",
+       "      <td>0.500881</td>\n",
+       "      <td>0.603535</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>West Ham United</th>\n",
-       "      <td>-1.286050</td>\n",
-       "      <td>1.961380</td>\n",
-       "      <td>0.603414</td>\n",
-       "      <td>-6.459029</td>\n",
-       "      <td>-8.200180</td>\n",
-       "      <td>7.096018</td>\n",
-       "      <td>-5.577193</td>\n",
-       "      <td>-2.251314</td>\n",
-       "      <td>-2.847181</td>\n",
+       "      <td>-0.343711</td>\n",
+       "      <td>0.524201</td>\n",
+       "      <td>0.161269</td>\n",
+       "      <td>-1.726248</td>\n",
+       "      <td>-2.191590</td>\n",
+       "      <td>1.896491</td>\n",
+       "      <td>-1.490567</td>\n",
+       "      <td>-0.601689</td>\n",
+       "      <td>-0.760941</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>Wolverhampton Wanderers</th>\n",
-       "      <td>-3.168275</td>\n",
-       "      <td>4.305640</td>\n",
-       "      <td>2.888101</td>\n",
-       "      <td>-7.541121</td>\n",
-       "      <td>-8.641131</td>\n",
-       "      <td>7.086626</td>\n",
-       "      <td>-6.576788</td>\n",
-       "      <td>1.032811</td>\n",
-       "      <td>-0.067834</td>\n",
+       "      <td>-0.846757</td>\n",
+       "      <td>1.150731</td>\n",
+       "      <td>0.771878</td>\n",
+       "      <td>-2.015449</td>\n",
+       "      <td>-2.309439</td>\n",
+       "      <td>1.893981</td>\n",
+       "      <td>-1.757721</td>\n",
+       "      <td>0.276030</td>\n",
+       "      <td>-0.018129</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "</div>"
       ],
       "text/plain": [
-       "group                      2021-22                         2022-23             \\\n",
-       "component                        0          1         2          0          1   \n",
-       "Team                                                                            \n",
-       "Arsenal                   2.582726  -0.222694  5.302243   9.375186   8.365184   \n",
-       "Aston Villa              -4.508285   6.762790  3.360487   0.425462  -0.131248   \n",
-       "Brentford                -4.824699   6.831446  2.321044  -0.913798   1.656430   \n",
-       "Brighton & Hove Albion   -3.836427   0.863534 -6.755643   1.232951   0.108793   \n",
-       "Chelsea                   5.327119  -8.454770 -3.978688  -5.636604  -4.604590   \n",
-       "Crystal Palace           -4.139202   1.363018 -6.617784  -5.658228  -4.295532   \n",
-       "Everton                  -7.578572  11.276745  3.996240  -9.227286  -8.594615   \n",
-       "Liverpool                11.734074 -14.796924 -1.851494   2.978462   3.350864   \n",
-       "Manchester City          12.520592 -14.730261  0.218117  12.365630  11.578338   \n",
-       "Manchester United        -1.730052   2.061911 -1.452460   4.946706   4.456987   \n",
-       "Newcastle United         -5.201489   6.386372 -0.844926   4.251222   7.896945   \n",
-       "Tottenham Hotspur         4.108539  -3.608186  2.811348  -0.139551  -2.946246   \n",
-       "West Ham United          -1.286050   1.961380  0.603414  -6.459029  -8.200180   \n",
-       "Wolverhampton Wanderers  -3.168275   4.305640  2.888101  -7.541121  -8.641131   \n",
+       "                          2021-22                       2022-23            \\\n",
+       "                                0         1         2         0         1   \n",
+       "Team                                                                        \n",
+       "Arsenal                  0.690262 -0.059517  1.417084  2.505624  2.235689   \n",
+       "Aston Villa             -1.204890  1.807432  0.898128  0.113710 -0.035078   \n",
+       "Brentford               -1.289455  1.825781  0.620325 -0.244223  0.442700   \n",
+       "Brighton & Hove Albion  -1.025328  0.230789 -1.805521  0.329520  0.029076   \n",
+       "Chelsea                  1.423732 -2.259632 -1.063349 -1.506446 -1.230628   \n",
+       "Crystal Palace          -1.106248  0.364282 -1.768677 -1.512225 -1.148029   \n",
+       "Everton                 -2.025459  3.013837  1.068040 -2.466096 -2.297007   \n",
+       "Liverpool                3.136063 -3.954644 -0.494832  0.796027  0.895556   \n",
+       "Manchester City          3.346269 -3.936828  0.058294  3.304854  3.094441   \n",
+       "Manchester United       -0.462376  0.551069 -0.388186  1.322063  1.191180   \n",
+       "Newcastle United        -1.390156  1.706830 -0.225816  1.136187  2.110547   \n",
+       "Tottenham Hotspur        1.098053 -0.964328  0.751364 -0.037297 -0.787417   \n",
+       "West Ham United         -0.343711  0.524201  0.161269 -1.726248 -2.191590   \n",
+       "Wolverhampton Wanderers -0.846757  1.150731  0.771878 -2.015449 -2.309439   \n",
        "\n",
-       "group                                 2023-24                      \n",
-       "component                        2          0         1         2  \n",
-       "Team                                                               \n",
-       "Arsenal                  -3.088474  13.152021  3.470683  5.617342  \n",
-       "Aston Villa               1.388393   2.062462 -0.117726  0.459079  \n",
-       "Brentford                -5.108336  -8.488562 -0.666794 -2.719762  \n",
-       "Brighton & Hove Albion    1.357369  -6.377201 -3.766425 -4.755869  \n",
-       "Chelsea                   0.880535   0.310700 -1.015164 -1.003918  \n",
-       "Crystal Palace            0.216513  -5.085854 -1.679302 -2.682664  \n",
-       "Everton                   3.749277  -6.645565 -0.613473 -1.545628  \n",
-       "Liverpool                -2.858228   8.447234 -1.689651  0.000318  \n",
-       "Manchester City          -5.561443  13.208791  1.349510  3.646564  \n",
-       "Manchester United        -0.769662  -1.090109  1.940399  2.133472  \n",
-       "Newcastle United        -10.455630   0.898003  2.132321  1.507860  \n",
-       "Tottenham Hotspur         6.067043   1.762060  1.874126  2.258220  \n",
-       "West Ham United           7.096018  -5.577193 -2.251314 -2.847181  \n",
-       "Wolverhampton Wanderers   7.086626  -6.576788  1.032811 -0.067834  "
+       "                                    2023-24                      \n",
+       "                                2         0         1         2  \n",
+       "Team                                                             \n",
+       "Arsenal                 -0.825430  3.515025  0.927579  1.501298  \n",
+       "Aston Villa              0.371064  0.551216 -0.031464  0.122694  \n",
+       "Brentford               -1.365260 -2.268664 -0.178208 -0.726887  \n",
+       "Brighton & Hove Albion   0.362772 -1.704379 -1.006619 -1.271060  \n",
+       "Chelsea                  0.235333  0.083038 -0.271314 -0.268308  \n",
+       "Crystal Palace           0.057866 -1.359252 -0.448812 -0.716972  \n",
+       "Everton                  1.002036 -1.776102 -0.163958 -0.413086  \n",
+       "Liverpool               -0.763894  2.257618 -0.451578  0.000085  \n",
+       "Manchester City         -1.486358  3.530198  0.360672  0.974585  \n",
+       "Manchester United       -0.205701 -0.291344  0.518593  0.570194  \n",
+       "Newcastle United        -2.794385  0.240001  0.569887  0.402993  \n",
+       "Tottenham Hotspur        1.621485  0.470930  0.500881  0.603535  \n",
+       "West Ham United          1.896491 -1.490567 -0.601689 -0.760941  \n",
+       "Wolverhampton Wanderers  1.893981 -1.757721  0.276030 -0.018129  "
       ]
      },
-     "execution_count": 7,
+     "execution_count": 9,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "mfa.group_row_coordinates(dataset)"
+    "mfa.partial_row_coordinates(dataset)"
    ]
   },
   {
@@ -1155,7 +1157,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 15,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:07.324369Z",
@@ -1170,23 +1172,23 @@
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-       "<div id=\"altair-viz-3c2af187f0804202990857f75b2bb352\"></div>\n",
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        "<script type=\"text/javascript\">\n",
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        "    let outputDiv = document.currentScript.previousElementSibling;\n",
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        "</script>"
       ],
       "text/plain": [
-       "alt.Chart(...)"
+       "alt.LayerChart(...)"
       ]
      },
-     "execution_count": 9,
+     "execution_count": 15,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1259,7 +1261,102 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "The first axis explains most of the difference between the wine ratings. This difference is actually due to the oak type of the barrels they were fermented in."
+    "The first axis explains most of the difference between the wine ratings. This difference is actually due to the oak type of the barrels they were fermented in.\n",
+    "\n",
+    "The `show_partial_rows` argument allows showing the global row coordinates together with the partial row coordinates. All the coordinates of each sample are connected with edges."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "\n",
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+       "  #altair-viz-09af977cc0ce428badab21ddc463cb11.vega-embed {\n",
+       "    width: 100%;\n",
+       "    display: flex;\n",
+       "  }\n",
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+       "</style>\n",
+       "<div id=\"altair-viz-09af977cc0ce428badab21ddc463cb11\"></div>\n",
+       "<script type=\"text/javascript\">\n",
+       "  var VEGA_DEBUG = (typeof VEGA_DEBUG == \"undefined\") ? {} : VEGA_DEBUG;\n",
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+       "    let outputDiv = document.currentScript.previousElementSibling;\n",
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+       "      outputDiv = document.getElementById(\"altair-viz-09af977cc0ce428badab21ddc463cb11\");\n",
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+       "      vegaEmbed(outputDiv, spec, embedOpt)\n",
+       "        .catch(err => showError(`Javascript Error: ${err.message}<br>This usually means there's a typo in your chart specification. See the javascript console for the full traceback.`));\n",
+       "    }\n",
+       "\n",
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+       "      requirejs.config({paths});\n",
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+       "      maybeLoadScript(\"vega\", \"5\")\n",
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+       "        .then(() => displayChart(vegaEmbed));\n",
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\"component 0_global\": 2.0632362778988615, \"component 1_global\": -1.170222118810703, \"component 0_partial\": 0.7960273353456085, \"component 1_partial\": 0.8955560225897241, \"group\": \"2022-23\"}, {\"Team\": \"Liverpool\", \"component 0_global\": 2.0632362778988615, \"component 1_global\": -1.170222118810703, \"component 0_partial\": 2.257618231166504, \"component 1_partial\": -0.45157822362894967, \"group\": \"2023-24\"}, {\"Team\": \"Manchester City\", \"component 0_global\": 3.3937734663512007, \"component 1_global\": -0.1605717036371875, \"component 0_partial\": 3.3462688449997153, \"component 1_partial\": -3.936827845377068, \"group\": \"2021-22\"}, {\"Team\": \"Manchester City\", \"component 0_global\": 3.3937734663512007, \"component 1_global\": -0.1605717036371875, \"component 0_partial\": 3.304853552653063, \"component 1_partial\": 3.0944410071843187, \"group\": \"2022-23\"}, {\"Team\": \"Manchester City\", \"component 0_global\": 3.3937734663512007, \"component 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0_partial\": -1.390156474665505, \"component 1_partial\": 1.706829764928056, \"group\": \"2021-22\"}, {\"Team\": \"Newcastle United\", \"component 0_global\": -0.004656060414051002, \"component 1_global\": 1.4624212865436892, \"component 0_partial\": 1.1361869470209582, \"component 1_partial\": 2.110547341323317, \"group\": \"2022-23\"}, {\"Team\": \"Newcastle United\", \"component 0_global\": -0.004656060414051002, \"component 1_global\": 1.4624212865436892, \"component 0_partial\": 0.24000134640239434, \"component 1_partial\": 0.5698867533796947, \"group\": \"2023-24\"}, {\"Team\": \"Tottenham Hotspur\", \"component 0_global\": 0.5105622682403459, \"component 1_global\": -0.41695477330203734, \"component 0_partial\": 1.098053203735587, \"component 1_partial\": -0.9643281700746735, \"group\": \"2021-22\"}, {\"Team\": \"Tottenham Hotspur\", \"component 0_global\": 0.5105622682403459, \"component 1_global\": -0.41695477330203734, \"component 0_partial\": -0.03729669958238586, \"component 1_partial\": -0.7874172774582657, \"group\": \"2022-23\"}, {\"Team\": \"Tottenham Hotspur\", \"component 0_global\": 0.5105622682403459, \"component 1_global\": -0.41695477330203734, \"component 0_partial\": 0.47093030056783736, \"component 1_partial\": 0.500881127626826, \"group\": \"2023-24\"}, {\"Team\": \"West Ham United\", \"component 0_global\": -1.1868422917954322, \"component 1_global\": -0.7563594595579152, \"component 0_partial\": -0.3437111984435329, \"component 1_partial\": 0.5242007307888663, \"group\": \"2021-22\"}, {\"Team\": \"West Ham United\", \"component 0_global\": -1.1868422917954322, \"component 1_global\": -0.7563594595579152, \"component 0_partial\": -1.7262482402600812, \"component 1_partial\": -2.1915902057025516, \"group\": \"2022-23\"}, {\"Team\": \"West Ham United\", \"component 0_global\": -1.1868422917954322, \"component 1_global\": -0.7563594595579152, \"component 0_partial\": -1.4905674366826827, \"component 1_partial\": -0.6016889037600613, \"group\": \"2023-24\"}, {\"Team\": \"Wolverhampton Wanderers\", \"component 0_global\": -1.539975734171846, \"component 1_global\": -0.2942261371165038, \"component 0_partial\": -0.8467571135940937, \"component 1_partial\": 1.1507306143969163, \"group\": \"2021-22\"}, {\"Team\": \"Wolverhampton Wanderers\", \"component 0_global\": -1.539975734171846, \"component 1_global\": -0.2942261371165038, \"component 0_partial\": -2.015449461432138, \"component 1_partial\": -2.309439441267143, \"group\": \"2022-23\"}, {\"Team\": \"Wolverhampton Wanderers\", \"component 0_global\": -1.539975734171846, \"component 1_global\": -0.2942261371165038, \"component 0_partial\": -1.7577206274893062, \"component 1_partial\": 0.2760304155207144, \"group\": \"2023-24\"}]}}, {\"mode\": \"vega-lite\"});\n",
+       "</script>"
+      ],
+      "text/plain": [
+       "alt.LayerChart(...)"
+      ]
+     },
+     "execution_count": 12,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "mfa.plot(\n",
+    "    dataset,\n",
+    "    show_partial_rows=True\n",
+    ")"
    ]
   },
   {
@@ -1280,7 +1377,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 10,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:07.395738Z",
@@ -1478,7 +1575,7 @@
        "Wolverhampton Wanderers  11   8  19  31  58   41"
       ]
      },
-     "execution_count": 20,
+     "execution_count": 10,
      "metadata": {},
      "output_type": "execute_result"
     }
diff --git a/docs/content/pca.ipynb b/docs/content/pca.ipynb
index 3469b96..71df4ef 100644
--- a/docs/content/pca.ipynb
+++ b/docs/content/pca.ipynb
@@ -40,7 +40,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 1,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:08.831204Z",
@@ -55,19 +55,19 @@
       "text/html": [
        "<style type=\"text/css\">\n",
        "</style>\n",
-       "<table id=\"T_a5459\">\n",
+       "<table id=\"T_6aadf\">\n",
        "  <thead>\n",
        "    <tr>\n",
        "      <th class=\"blank\" >&nbsp;</th>\n",
        "      <th class=\"blank level0\" >&nbsp;</th>\n",
-       "      <th id=\"T_a5459_level0_col0\" class=\"col_heading level0 col0\" >coal</th>\n",
-       "      <th id=\"T_a5459_level0_col1\" class=\"col_heading level0 col1\" >oil</th>\n",
-       "      <th id=\"T_a5459_level0_col2\" class=\"col_heading level0 col2\" >gas</th>\n",
-       "      <th id=\"T_a5459_level0_col3\" class=\"col_heading level0 col3\" >nuclear</th>\n",
-       "      <th id=\"T_a5459_level0_col4\" class=\"col_heading level0 col4\" >hydro</th>\n",
-       "      <th id=\"T_a5459_level0_col5\" class=\"col_heading level0 col5\" >wind</th>\n",
-       "      <th id=\"T_a5459_level0_col6\" class=\"col_heading level0 col6\" >solar</th>\n",
-       "      <th id=\"T_a5459_level0_col7\" class=\"col_heading level0 col7\" >other renewables</th>\n",
+       "      <th id=\"T_6aadf_level0_col0\" class=\"col_heading level0 col0\" >coal</th>\n",
+       "      <th id=\"T_6aadf_level0_col1\" class=\"col_heading level0 col1\" >oil</th>\n",
+       "      <th id=\"T_6aadf_level0_col2\" class=\"col_heading level0 col2\" >gas</th>\n",
+       "      <th id=\"T_6aadf_level0_col3\" class=\"col_heading level0 col3\" >nuclear</th>\n",
+       "      <th id=\"T_6aadf_level0_col4\" class=\"col_heading level0 col4\" >hydro</th>\n",
+       "      <th id=\"T_6aadf_level0_col5\" class=\"col_heading level0 col5\" >wind</th>\n",
+       "      <th id=\"T_6aadf_level0_col6\" class=\"col_heading level0 col6\" >solar</th>\n",
+       "      <th id=\"T_6aadf_level0_col7\" class=\"col_heading level0 col7\" >other renewables</th>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th class=\"index_name level0\" >continent</th>\n",
@@ -84,73 +84,73 @@
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
-       "      <th id=\"T_a5459_level0_row0\" class=\"row_heading level0 row0\" >Africa</th>\n",
-       "      <th id=\"T_a5459_level1_row0\" class=\"row_heading level1 row0\" >Algeria</th>\n",
-       "      <td id=\"T_a5459_row0_col0\" class=\"data row0 col0\" >1%</td>\n",
-       "      <td id=\"T_a5459_row0_col1\" class=\"data row0 col1\" >35%</td>\n",
-       "      <td id=\"T_a5459_row0_col2\" class=\"data row0 col2\" >64%</td>\n",
-       "      <td id=\"T_a5459_row0_col3\" class=\"data row0 col3\" >0%</td>\n",
-       "      <td id=\"T_a5459_row0_col4\" class=\"data row0 col4\" >0%</td>\n",
-       "      <td id=\"T_a5459_row0_col5\" class=\"data row0 col5\" >0%</td>\n",
-       "      <td id=\"T_a5459_row0_col6\" class=\"data row0 col6\" >0%</td>\n",
-       "      <td id=\"T_a5459_row0_col7\" class=\"data row0 col7\" >0%</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a5459_level0_row1\" class=\"row_heading level0 row1\" >South America</th>\n",
-       "      <th id=\"T_a5459_level1_row1\" class=\"row_heading level1 row1\" >Argentina</th>\n",
-       "      <td id=\"T_a5459_row1_col0\" class=\"data row1 col0\" >1%</td>\n",
-       "      <td id=\"T_a5459_row1_col1\" class=\"data row1 col1\" >35%</td>\n",
-       "      <td id=\"T_a5459_row1_col2\" class=\"data row1 col2\" >50%</td>\n",
-       "      <td id=\"T_a5459_row1_col3\" class=\"data row1 col3\" >2%</td>\n",
-       "      <td id=\"T_a5459_row1_col4\" class=\"data row1 col4\" >10%</td>\n",
-       "      <td id=\"T_a5459_row1_col5\" class=\"data row1 col5\" >1%</td>\n",
-       "      <td id=\"T_a5459_row1_col6\" class=\"data row1 col6\" >0%</td>\n",
-       "      <td id=\"T_a5459_row1_col7\" class=\"data row1 col7\" >1%</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a5459_level0_row2\" class=\"row_heading level0 row2\" >Oceania</th>\n",
-       "      <th id=\"T_a5459_level1_row2\" class=\"row_heading level1 row2\" >Australia</th>\n",
-       "      <td id=\"T_a5459_row2_col0\" class=\"data row2 col0\" >28%</td>\n",
-       "      <td id=\"T_a5459_row2_col1\" class=\"data row2 col1\" >34%</td>\n",
-       "      <td id=\"T_a5459_row2_col2\" class=\"data row2 col2\" >30%</td>\n",
-       "      <td id=\"T_a5459_row2_col3\" class=\"data row2 col3\" >0%</td>\n",
-       "      <td id=\"T_a5459_row2_col4\" class=\"data row2 col4\" >2%</td>\n",
-       "      <td id=\"T_a5459_row2_col5\" class=\"data row2 col5\" >3%</td>\n",
-       "      <td id=\"T_a5459_row2_col6\" class=\"data row2 col6\" >3%</td>\n",
-       "      <td id=\"T_a5459_row2_col7\" class=\"data row2 col7\" >1%</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a5459_level0_row3\" class=\"row_heading level0 row3\" >Europe</th>\n",
-       "      <th id=\"T_a5459_level1_row3\" class=\"row_heading level1 row3\" >Austria</th>\n",
-       "      <td id=\"T_a5459_row3_col0\" class=\"data row3 col0\" >9%</td>\n",
-       "      <td id=\"T_a5459_row3_col1\" class=\"data row3 col1\" >37%</td>\n",
-       "      <td id=\"T_a5459_row3_col2\" class=\"data row3 col2\" >22%</td>\n",
-       "      <td id=\"T_a5459_row3_col3\" class=\"data row3 col3\" >0%</td>\n",
-       "      <td id=\"T_a5459_row3_col4\" class=\"data row3 col4\" >25%</td>\n",
-       "      <td id=\"T_a5459_row3_col5\" class=\"data row3 col5\" >4%</td>\n",
-       "      <td id=\"T_a5459_row3_col6\" class=\"data row3 col6\" >1%</td>\n",
-       "      <td id=\"T_a5459_row3_col7\" class=\"data row3 col7\" >3%</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a5459_level0_row4\" class=\"row_heading level0 row4\" >Asia</th>\n",
-       "      <th id=\"T_a5459_level1_row4\" class=\"row_heading level1 row4\" >Azerbaijan</th>\n",
-       "      <td id=\"T_a5459_row4_col0\" class=\"data row4 col0\" >0%</td>\n",
-       "      <td id=\"T_a5459_row4_col1\" class=\"data row4 col1\" >33%</td>\n",
-       "      <td id=\"T_a5459_row4_col2\" class=\"data row4 col2\" >65%</td>\n",
-       "      <td id=\"T_a5459_row4_col3\" class=\"data row4 col3\" >0%</td>\n",
-       "      <td id=\"T_a5459_row4_col4\" class=\"data row4 col4\" >2%</td>\n",
-       "      <td id=\"T_a5459_row4_col5\" class=\"data row4 col5\" >0%</td>\n",
-       "      <td id=\"T_a5459_row4_col6\" class=\"data row4 col6\" >0%</td>\n",
-       "      <td id=\"T_a5459_row4_col7\" class=\"data row4 col7\" >0%</td>\n",
+       "      <th id=\"T_6aadf_level0_row0\" class=\"row_heading level0 row0\" >Africa</th>\n",
+       "      <th id=\"T_6aadf_level1_row0\" class=\"row_heading level1 row0\" >Algeria</th>\n",
+       "      <td id=\"T_6aadf_row0_col0\" class=\"data row0 col0\" >1%</td>\n",
+       "      <td id=\"T_6aadf_row0_col1\" class=\"data row0 col1\" >35%</td>\n",
+       "      <td id=\"T_6aadf_row0_col2\" class=\"data row0 col2\" >64%</td>\n",
+       "      <td id=\"T_6aadf_row0_col3\" class=\"data row0 col3\" >0%</td>\n",
+       "      <td id=\"T_6aadf_row0_col4\" class=\"data row0 col4\" >0%</td>\n",
+       "      <td id=\"T_6aadf_row0_col5\" class=\"data row0 col5\" >0%</td>\n",
+       "      <td id=\"T_6aadf_row0_col6\" class=\"data row0 col6\" >0%</td>\n",
+       "      <td id=\"T_6aadf_row0_col7\" class=\"data row0 col7\" >0%</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_6aadf_level0_row1\" class=\"row_heading level0 row1\" >South America</th>\n",
+       "      <th id=\"T_6aadf_level1_row1\" class=\"row_heading level1 row1\" >Argentina</th>\n",
+       "      <td id=\"T_6aadf_row1_col0\" class=\"data row1 col0\" >1%</td>\n",
+       "      <td id=\"T_6aadf_row1_col1\" class=\"data row1 col1\" >35%</td>\n",
+       "      <td id=\"T_6aadf_row1_col2\" class=\"data row1 col2\" >50%</td>\n",
+       "      <td id=\"T_6aadf_row1_col3\" class=\"data row1 col3\" >2%</td>\n",
+       "      <td id=\"T_6aadf_row1_col4\" class=\"data row1 col4\" >10%</td>\n",
+       "      <td id=\"T_6aadf_row1_col5\" class=\"data row1 col5\" >1%</td>\n",
+       "      <td id=\"T_6aadf_row1_col6\" class=\"data row1 col6\" >0%</td>\n",
+       "      <td id=\"T_6aadf_row1_col7\" class=\"data row1 col7\" >1%</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_6aadf_level0_row2\" class=\"row_heading level0 row2\" >Oceania</th>\n",
+       "      <th id=\"T_6aadf_level1_row2\" class=\"row_heading level1 row2\" >Australia</th>\n",
+       "      <td id=\"T_6aadf_row2_col0\" class=\"data row2 col0\" >28%</td>\n",
+       "      <td id=\"T_6aadf_row2_col1\" class=\"data row2 col1\" >34%</td>\n",
+       "      <td id=\"T_6aadf_row2_col2\" class=\"data row2 col2\" >30%</td>\n",
+       "      <td id=\"T_6aadf_row2_col3\" class=\"data row2 col3\" >0%</td>\n",
+       "      <td id=\"T_6aadf_row2_col4\" class=\"data row2 col4\" >2%</td>\n",
+       "      <td id=\"T_6aadf_row2_col5\" class=\"data row2 col5\" >3%</td>\n",
+       "      <td id=\"T_6aadf_row2_col6\" class=\"data row2 col6\" >3%</td>\n",
+       "      <td id=\"T_6aadf_row2_col7\" class=\"data row2 col7\" >1%</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_6aadf_level0_row3\" class=\"row_heading level0 row3\" >Europe</th>\n",
+       "      <th id=\"T_6aadf_level1_row3\" class=\"row_heading level1 row3\" >Austria</th>\n",
+       "      <td id=\"T_6aadf_row3_col0\" class=\"data row3 col0\" >9%</td>\n",
+       "      <td id=\"T_6aadf_row3_col1\" class=\"data row3 col1\" >37%</td>\n",
+       "      <td id=\"T_6aadf_row3_col2\" class=\"data row3 col2\" >22%</td>\n",
+       "      <td id=\"T_6aadf_row3_col3\" class=\"data row3 col3\" >0%</td>\n",
+       "      <td id=\"T_6aadf_row3_col4\" class=\"data row3 col4\" >25%</td>\n",
+       "      <td id=\"T_6aadf_row3_col5\" class=\"data row3 col5\" >4%</td>\n",
+       "      <td id=\"T_6aadf_row3_col6\" class=\"data row3 col6\" >1%</td>\n",
+       "      <td id=\"T_6aadf_row3_col7\" class=\"data row3 col7\" >3%</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_6aadf_level0_row4\" class=\"row_heading level0 row4\" >Asia</th>\n",
+       "      <th id=\"T_6aadf_level1_row4\" class=\"row_heading level1 row4\" >Azerbaijan</th>\n",
+       "      <td id=\"T_6aadf_row4_col0\" class=\"data row4 col0\" >0%</td>\n",
+       "      <td id=\"T_6aadf_row4_col1\" class=\"data row4 col1\" >33%</td>\n",
+       "      <td id=\"T_6aadf_row4_col2\" class=\"data row4 col2\" >65%</td>\n",
+       "      <td id=\"T_6aadf_row4_col3\" class=\"data row4 col3\" >0%</td>\n",
+       "      <td id=\"T_6aadf_row4_col4\" class=\"data row4 col4\" >2%</td>\n",
+       "      <td id=\"T_6aadf_row4_col5\" class=\"data row4 col5\" >0%</td>\n",
+       "      <td id=\"T_6aadf_row4_col6\" class=\"data row4 col6\" >0%</td>\n",
+       "      <td id=\"T_6aadf_row4_col7\" class=\"data row4 col7\" >0%</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n"
       ],
       "text/plain": [
-       "<pandas.io.formats.style.Styler at 0x12eec5810>"
+       "<pandas.io.formats.style.Styler at 0x1516daf90>"
       ]
      },
-     "execution_count": 9,
+     "execution_count": 1,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -180,7 +180,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 2,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:09.271364Z",
@@ -241,7 +241,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 3,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:09.300402Z",
@@ -314,7 +314,7 @@
        "2              1.403        17.54%                     61.59%"
       ]
      },
-     "execution_count": 11,
+     "execution_count": 3,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -335,7 +335,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 4,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:09.337429Z",
@@ -351,7 +351,7 @@
        "array([1.96301214, 1.56069986, 1.40327823])"
       ]
      },
-     "execution_count": 12,
+     "execution_count": 4,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -362,7 +362,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 5,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:09.380475Z",
@@ -378,7 +378,7 @@
        "array([24.5376518 , 19.50874822, 17.54097785])"
       ]
      },
-     "execution_count": 13,
+     "execution_count": 5,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -389,7 +389,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 6,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:09.406971Z",
@@ -405,7 +405,7 @@
        "array([24.5376518 , 44.04640003, 61.58737788])"
       ]
      },
-     "execution_count": 14,
+     "execution_count": 6,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -424,7 +424,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 8,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:09.427611Z",
@@ -439,23 +439,23 @@
       "text/html": [
        "\n",
        "<style>\n",
-       "  #altair-viz-8dabe5579d7d42a0acc2d3e82f74f48f.vega-embed {\n",
+       "  #altair-viz-fe0664427ad54920b27f1e1626e6a351.vega-embed {\n",
        "    width: 100%;\n",
        "    display: flex;\n",
        "  }\n",
        "\n",
-       "  #altair-viz-8dabe5579d7d42a0acc2d3e82f74f48f.vega-embed details,\n",
-       "  #altair-viz-8dabe5579d7d42a0acc2d3e82f74f48f.vega-embed details summary {\n",
+       "  #altair-viz-fe0664427ad54920b27f1e1626e6a351.vega-embed details,\n",
+       "  #altair-viz-fe0664427ad54920b27f1e1626e6a351.vega-embed details summary {\n",
        "    position: relative;\n",
        "  }\n",
        "</style>\n",
-       "<div id=\"altair-viz-8dabe5579d7d42a0acc2d3e82f74f48f\"></div>\n",
+       "<div id=\"altair-viz-fe0664427ad54920b27f1e1626e6a351\"></div>\n",
        "<script type=\"text/javascript\">\n",
        "  var VEGA_DEBUG = (typeof VEGA_DEBUG == \"undefined\") ? {} : VEGA_DEBUG;\n",
        "  (function(spec, embedOpt){\n",
        "    let outputDiv = document.currentScript.previousElementSibling;\n",
-       "    if (outputDiv.id !== \"altair-viz-8dabe5579d7d42a0acc2d3e82f74f48f\") {\n",
-       "      outputDiv = document.getElementById(\"altair-viz-8dabe5579d7d42a0acc2d3e82f74f48f\");\n",
+       "    if (outputDiv.id !== \"altair-viz-fe0664427ad54920b27f1e1626e6a351\") {\n",
+       "      outputDiv = document.getElementById(\"altair-viz-fe0664427ad54920b27f1e1626e6a351\");\n",
        "    }\n",
        "\n",
        "    const paths = {\n",
@@ -510,7 +510,7 @@
        "alt.Chart(...)"
       ]
      },
-     "execution_count": 15,
+     "execution_count": 8,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -531,7 +531,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 9,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:09.478918Z",
@@ -625,7 +625,7 @@
        "Asia          Azerbaijan -2.190535  0.632250 -0.365515"
       ]
      },
-     "execution_count": 16,
+     "execution_count": 9,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -644,7 +644,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 10,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:09.506575Z",
@@ -660,7 +660,7 @@
        "True"
       ]
      },
-     "execution_count": 17,
+     "execution_count": 10,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -687,7 +687,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 11,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:09.529498Z",
@@ -795,7 +795,7 @@
        "other renewables  0.628750  0.516935 -0.084114"
       ]
      },
-     "execution_count": 18,
+     "execution_count": 11,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -822,7 +822,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 12,
    "metadata": {
     "execution": {
      "iopub.execute_input": "2024-09-07T18:18:09.546954Z",
@@ -837,23 +837,23 @@
       "text/html": [
        "\n",
        "<style>\n",
-       "  #altair-viz-8fa4069464e549c6a31d1a2dc537b1c6.vega-embed {\n",
+       "  #altair-viz-32580f15d5bb4336be074e5b7f167642.vega-embed {\n",
        "    width: 100%;\n",
        "    display: flex;\n",
        "  }\n",
        "\n",
-       "  #altair-viz-8fa4069464e549c6a31d1a2dc537b1c6.vega-embed details,\n",
-       "  #altair-viz-8fa4069464e549c6a31d1a2dc537b1c6.vega-embed details summary {\n",
+       "  #altair-viz-32580f15d5bb4336be074e5b7f167642.vega-embed details,\n",
+       "  #altair-viz-32580f15d5bb4336be074e5b7f167642.vega-embed details summary {\n",
        "    position: relative;\n",
        "  }\n",
        "</style>\n",
-       "<div id=\"altair-viz-8fa4069464e549c6a31d1a2dc537b1c6\"></div>\n",
+       "<div id=\"altair-viz-32580f15d5bb4336be074e5b7f167642\"></div>\n",
        "<script type=\"text/javascript\">\n",
        "  var VEGA_DEBUG = (typeof VEGA_DEBUG == \"undefined\") ? {} : VEGA_DEBUG;\n",
        "  (function(spec, embedOpt){\n",
        "    let outputDiv = document.currentScript.previousElementSibling;\n",
-       "    if (outputDiv.id !== \"altair-viz-8fa4069464e549c6a31d1a2dc537b1c6\") {\n",
-       "      outputDiv = document.getElementById(\"altair-viz-8fa4069464e549c6a31d1a2dc537b1c6\");\n",
+       "    if (outputDiv.id !== \"altair-viz-32580f15d5bb4336be074e5b7f167642\") {\n",
+       "      outputDiv = document.getElementById(\"altair-viz-32580f15d5bb4336be074e5b7f167642\");\n",
        "    }\n",
        "\n",
        "    const paths = {\n",
@@ -908,7 +908,7 @@
        "alt.LayerChart(...)"
       ]
      },
-     "execution_count": 19,
+     "execution_count": 12,
      "metadata": {},
      "output_type": "execute_result"
     }
diff --git a/prince/mfa.py b/prince/mfa.py
index fc33728..5c2a909 100644
--- a/prince/mfa.py
+++ b/prince/mfa.py
@@ -128,36 +128,19 @@ def row_coordinates(self, X):
 
     @utils.check_is_dataframe_input
     @utils.check_is_fitted
-    def group_row_coordinates(self, X):
-        if (X.index != self.row_contributions_.index).any():
-            raise NotImplementedError("Supplementary rows are not supported yet")
-
-        X = (X - X.mean()) / ((X - X.mean()) ** 2).sum() ** 0.5
-        Z = pd.concat(
-            (X[cols] / self[g].eigenvalues_[0] ** 0.5 for g, cols in self.groups_.items()),
-            axis="columns",
-        )
-        M = np.full(len(X), 1 / len(X))
-        U = self.svd_.U
-        s = self.svd_.s
-
-        def add_index(g, group_name):
-            g.columns = pd.MultiIndex.from_tuples(
-                [(group_name, col) for col in g.columns],
-                names=("group", "component"),
-            )
-            return g
-
-        return len(self.groups_) * pd.concat(
-            [
-                add_index(
-                    g=(Z[g] @ Z[g].T) @ (M[:, np.newaxis] ** (-0.5) * U * s**-1),
-                    group_name=g,
-                )
-                for g, cols in self.groups_.items()
-            ],
-            axis="columns",
-        )
+    def partial_row_coordinates(self, X):
+        """Returns the partial row principal coordinates."""
+        Z = self._build_Z(X)
+        coords = []
+        for _, names in self.groups_.items():
+            partial_coords = pd.DataFrame(0.0, index=Z.index, columns=Z.columns)
+            partial_coords.loc[:, names] = (Z[names] - Z[names].mean()) / Z[names].std(ddof=0)
+            partial_coords = partial_coords * self.column_weight_
+            partial_coords = (len(self.groups_) * partial_coords).dot(self.svd_.V.T)
+            coords.append(partial_coords)
+        coords = pd.concat(coords, axis=1, keys=self.groups_.keys())
+        coords.columns.name = "component"
+        return coords
 
     @utils.check_is_dataframe_input
     @utils.check_is_fitted
@@ -182,12 +165,6 @@ def row_cosine_similarities(self, X):
         Z = self._build_Z(X)
         return super().row_cosine_similarities(Z)
 
-    @utils.check_is_dataframe_input
-    @utils.check_is_fitted
-    def column_correlations(self, X):
-        Z = self._build_Z(X)
-        return super().column_correlations(Z)
-
     @utils.check_is_dataframe_input
     @utils.check_is_fitted
     def column_cosine_similarities_(self, X):
@@ -196,25 +173,33 @@ def column_cosine_similarities_(self, X):
 
     @utils.check_is_dataframe_input
     @utils.check_is_fitted
-    def plot(self, X, x_component=0, y_component=1, color_by=None, **params):
-        if color_by is not None:
-            params["color"] = color_by
+    def plot(self, X, x_component=0, y_component=1, show_partial_rows=False, **params):
+        index_name = X.index.name or "index"
 
         params["tooltip"] = (
-            X.index.names if isinstance(X.index, pd.MultiIndex) else [X.index.name or "index"]
+            X.index.names if isinstance(X.index, pd.MultiIndex) else [index_name]
         ) + [
+            "group",
             f"component {x_component}",
             f"component {y_component}",
         ]
 
         eig = self._eigenvalues_summary.to_dict(orient="index")
 
+        row_plot = None
+        partial_row_plot = None
+        edges_plot = None
+
+        # Barycenters
         row_coords = self.row_coordinates(X)
         row_coords.columns = [f"component {i}" for i in row_coords.columns]
         row_coords = row_coords.reset_index()
+        row_coords["group"] = "Global"
+        if show_partial_rows:
+            params["color"] = "group:N"
         row_plot = (
             alt.Chart(row_coords)
-            .mark_circle()
+            .mark_point(filled=True, size=50)
             .encode(
                 alt.X(
                     f"component {x_component}",
@@ -234,4 +219,51 @@ def plot(self, X, x_component=0, y_component=1, color_by=None, **params):
             )
         )
 
-        return row_plot.interactive()
+        # Partial row coordinates
+        if show_partial_rows:
+            partial_row_coords = self.partial_row_coordinates(X).stack(level=0, future_stack=True)
+            partial_row_coords.columns = [f"component {i}" for i in partial_row_coords.columns]
+            partial_row_coords = partial_row_coords.reset_index(names=[index_name, "group"])
+
+            partial_row_plot = (
+                alt.Chart(partial_row_coords)
+                .mark_point(shape="circle")
+                .encode(
+                    alt.X(f"component {x_component}", scale=alt.Scale(zero=False)),
+                    alt.Y(f"component {y_component}", scale=alt.Scale(zero=False)),
+                    color="group:N",
+                    **params,
+                )
+            )
+
+        # Edges to connect the main markers to the partial markers
+        if show_partial_rows:
+            edges = pd.merge(
+                left=row_coords[
+                    [index_name, f"component {x_component}", f"component {y_component}"]
+                ],
+                right=partial_row_coords[
+                    [index_name, f"component {x_component}", f"component {y_component}", "group"]
+                ],
+                on=index_name,
+                suffixes=("_global", "_partial"),
+            )
+            edges_plot = (
+                alt.Chart(edges)
+                .mark_line(opacity=0.7)
+                .encode(
+                    x=f"component {x_component}_global:Q",
+                    y=f"component {y_component}_global:Q",
+                    x2=f"component {x_component}_partial:Q",
+                    y2=f"component {y_component}_partial:Q",
+                    color="group:N",
+                    strokeDash=alt.value([2, 2]),
+                )
+            )
+
+        charts = filter(
+            None,
+            (row_plot, partial_row_plot, edges_plot),
+        )
+
+        return alt.layer(*charts).interactive()