{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "2deb3754-a9a9-4ab5-9ddd-8d754c6d5db0",
   "metadata": {},
   "source": [
    "# Batch correction in Bulk RNA-seq or microarray data\n",
    "\n",
    "Variability in datasets are not only the product of biological processes: they are also the product of technical biases (Lander et al, 1999). ComBat is one of the most widely used tool for correcting those technical biases called batch effects.\n",
    "\n",
    "pyComBat (Behdenna et al, 2020) is a new Python implementation of ComBat (Johnson et al, 2007), a software widely used for the adjustment of batch effects in microarray data. While the mathematical framework is strictly the same, pyComBat:\n",
    "\n",
    "- has similar results in terms of batch effects correction;\n",
    "- is as fast or faster than the R implementation of ComBat and;\n",
    "- offers new tools for the community to participate in its development.\n",
    "\n",
    "Paper: [pyComBat, a Python tool for batch effects correction in high-throughput molecular data using empirical Bayes methods](https://doi.org/10.1101/2020.03.17.995431)\n",
    "\n",
    "Code: https://github.com/epigenelabs/pyComBat\n",
    "\n",
    "Colab_Reproducibility：https://colab.research.google.com/drive/121bbIiI3j4pTZ3yA_5p8BRkRyGMMmNAq?usp=sharing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "98f8ccc1-3141-4d76-b97e-3724a1be3347",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/4m/2xw3_2s503s9r616083n7w440000gn/T/ipykernel_67232/650258452.py:2: FutureWarning: X.dtype being converted to np.float32 from float64. In the next version of anndata (0.9) conversion will not be automatic. Pass dtype explicitly to avoid this warning. Pass `AnnData(X, dtype=X.dtype, ...)` to get the future behavour.\n",
      "  adata=anndata.AnnData(df_expression)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "AnnData object with n_obs × n_vars = 17126 × 161"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import anndata\n",
    "import pandas as pd\n",
    "import omicverse as ov\n",
    "ov.ov_plot_set()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c7839d3-bdcb-4692-9b15-f2ee5dc4f62f",
   "metadata": {},
   "source": [
    "## Loading dataset\n",
    "\n",
    "This minimal usage example illustrates how to use pyComBat in a default setting, and shows some results on ovarian cancer data, freely available on NCBI’s [Gene Expression Omnibus](https://www.ncbi.nlm.nih.gov/geo/), namely:\n",
    "\n",
    "- GSE18520\n",
    "- GSE66957\n",
    "- GSE69428\n",
    "\n",
    "The corresponding expression files are available on [GitHub](https://github.com/epigenelabs/pyComBat/tree/master/data)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "600aec74-97c9-4ae4-8682-e1b93cd9fba0",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/4m/2xw3_2s503s9r616083n7w440000gn/T/ipykernel_67232/2158304638.py:1: FutureWarning: X.dtype being converted to np.float32 from float64. In the next version of anndata (0.9) conversion will not be automatic. Pass dtype explicitly to avoid this warning. Pass `AnnData(X, dtype=X.dtype, ...)` to get the future behavour.\n",
      "  adata1=anndata.AnnData(dataset_1.T)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "AnnData object with n_obs × n_vars = 63 × 21755\n",
       "    obs: 'batch'"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataset_1 = pd.read_pickle(\"data/combat/GSE18520.pickle\")\n",
    "adata1=anndata.AnnData(dataset_1.T)\n",
    "adata1.obs['batch']='1'\n",
    "adata1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "baddf5ba-6030-46bb-8693-cbefa0792af2",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/4m/2xw3_2s503s9r616083n7w440000gn/T/ipykernel_67232/2536119295.py:1: FutureWarning: X.dtype being converted to np.float32 from float64. In the next version of anndata (0.9) conversion will not be automatic. Pass dtype explicitly to avoid this warning. Pass `AnnData(X, dtype=X.dtype, ...)` to get the future behavour.\n",
      "  adata2=anndata.AnnData(dataset_2.T)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "AnnData object with n_obs × n_vars = 69 × 22115\n",
       "    obs: 'batch'"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataset_2 = pd.read_pickle(\"data/combat/GSE66957.pickle\")\n",
    "adata2=anndata.AnnData(dataset_2.T)\n",
    "adata2.obs['batch']='2'\n",
    "adata2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "8569cd31-2cd3-4ee9-ad74-b5cd0064fb5a",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/4m/2xw3_2s503s9r616083n7w440000gn/T/ipykernel_67232/3554703578.py:1: FutureWarning: X.dtype being converted to np.float32 from float64. In the next version of anndata (0.9) conversion will not be automatic. Pass dtype explicitly to avoid this warning. Pass `AnnData(X, dtype=X.dtype, ...)` to get the future behavour.\n",
      "  adata3=anndata.AnnData(dataset_3.T)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "AnnData object with n_obs × n_vars = 29 × 21755\n",
       "    obs: 'batch'"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataset_3 = pd.read_pickle(\"data/combat/GSE69428.pickle\")\n",
    "adata3=anndata.AnnData(dataset_3.T)\n",
    "adata3.obs['batch']='3'\n",
    "adata3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "902ba392-2c9b-46ea-9f34-eee51c841e29",
   "metadata": {},
   "source": [
    "We use the concat function to join the three datasets together and take the intersection for the same genes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "0c190b91-0da6-4259-88a1-7f9936b24c54",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AnnData object with n_obs × n_vars = 161 × 17126\n",
       "    obs: 'batch'"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "adata=anndata.concat([adata1,adata2,adata3],merge='same')\n",
    "adata"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03b1e73f-bf95-42bf-9411-31e73236025f",
   "metadata": {},
   "source": [
    "## Removing batch effect"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "247884b4-b54f-47d5-9e14-1ddc2d1e1ee1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found 3 batches.\n",
      "Adjusting for 0 covariate(s) or covariate level(s).\n",
      "Standardizing Data across genes.\n",
      "Fitting L/S model and finding priors.\n",
      "Finding parametric adjustments.\n",
      "Adjusting the Data\n",
      "Storing batch correction result in adata.layers['batch_correction']\n"
     ]
    }
   ],
   "source": [
    "ov.bulk.batch_correction(adata,batch_key='batch')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "01c14ef1-96ba-4460-b063-334251a3c960",
   "metadata": {},
   "source": [
    "## Saving results\n",
    "\n",
    "Raw datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "0af8b604-f593-4ff6-8575-87ee0a50a6fb",
   "metadata": {},
   "outputs": [
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       "  <thead>\n",
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       "      <th></th>\n",
       "      <th>GSM461348</th>\n",
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       "    <tr>\n",
       "      <th>gene_symbol</th>\n",
       "      <th></th>\n",
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       "  <tbody>\n",
       "    <tr>\n",
       "      <th>A1BG</th>\n",
       "      <td>4.140079</td>\n",
       "      <td>4.589471</td>\n",
       "      <td>4.526200</td>\n",
       "      <td>4.326366</td>\n",
       "      <td>4.141506</td>\n",
       "      <td>4.528423</td>\n",
       "      <td>4.419378</td>\n",
       "      <td>4.345215</td>\n",
       "      <td>4.184150</td>\n",
       "      <td>4.393646</td>\n",
       "      <td>...</td>\n",
       "      <td>3.490229</td>\n",
       "      <td>4.542913</td>\n",
       "      <td>4.654638</td>\n",
       "      <td>4.199212</td>\n",
       "      <td>4.080964</td>\n",
       "      <td>4.114272</td>\n",
       "      <td>3.883770</td>\n",
       "      <td>4.103220</td>\n",
       "      <td>3.883770</td>\n",
       "      <td>3.487520</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>A1BG-AS1</th>\n",
       "      <td>5.747137</td>\n",
       "      <td>6.130257</td>\n",
       "      <td>5.781449</td>\n",
       "      <td>5.914044</td>\n",
       "      <td>6.277715</td>\n",
       "      <td>5.668244</td>\n",
       "      <td>5.879830</td>\n",
       "      <td>6.013979</td>\n",
       "      <td>5.968187</td>\n",
       "      <td>6.017624</td>\n",
       "      <td>...</td>\n",
       "      <td>4.005230</td>\n",
       "      <td>4.301880</td>\n",
       "      <td>4.509698</td>\n",
       "      <td>4.089223</td>\n",
       "      <td>4.129560</td>\n",
       "      <td>3.867568</td>\n",
       "      <td>4.094032</td>\n",
       "      <td>3.616044</td>\n",
       "      <td>4.307225</td>\n",
       "      <td>3.891060</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>A1CF</th>\n",
       "      <td>5.026369</td>\n",
       "      <td>5.120523</td>\n",
       "      <td>5.220462</td>\n",
       "      <td>4.828303</td>\n",
       "      <td>5.078094</td>\n",
       "      <td>5.204209</td>\n",
       "      <td>4.865024</td>\n",
       "      <td>5.119230</td>\n",
       "      <td>5.219517</td>\n",
       "      <td>4.706891</td>\n",
       "      <td>...</td>\n",
       "      <td>4.225589</td>\n",
       "      <td>3.530307</td>\n",
       "      <td>3.215182</td>\n",
       "      <td>2.967515</td>\n",
       "      <td>3.012953</td>\n",
       "      <td>3.496765</td>\n",
       "      <td>3.117002</td>\n",
       "      <td>3.072093</td>\n",
       "      <td>2.570765</td>\n",
       "      <td>3.163533</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>A2M</th>\n",
       "      <td>7.892506</td>\n",
       "      <td>7.730116</td>\n",
       "      <td>7.796338</td>\n",
       "      <td>8.525167</td>\n",
       "      <td>7.545033</td>\n",
       "      <td>7.846979</td>\n",
       "      <td>7.638513</td>\n",
       "      <td>7.487679</td>\n",
       "      <td>7.533089</td>\n",
       "      <td>6.965395</td>\n",
       "      <td>...</td>\n",
       "      <td>10.273206</td>\n",
       "      <td>4.061912</td>\n",
       "      <td>4.393332</td>\n",
       "      <td>4.716536</td>\n",
       "      <td>3.447348</td>\n",
       "      <td>3.134037</td>\n",
       "      <td>4.009413</td>\n",
       "      <td>3.953612</td>\n",
       "      <td>7.664853</td>\n",
       "      <td>3.548574</td>\n",
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       "      <th>A2ML1</th>\n",
       "      <td>3.966217</td>\n",
       "      <td>4.482255</td>\n",
       "      <td>3.964664</td>\n",
       "      <td>3.906967</td>\n",
       "      <td>3.952821</td>\n",
       "      <td>3.985276</td>\n",
       "      <td>3.997008</td>\n",
       "      <td>4.101457</td>\n",
       "      <td>4.015285</td>\n",
       "      <td>3.765736</td>\n",
       "      <td>...</td>\n",
       "      <td>2.478731</td>\n",
       "      <td>4.132282</td>\n",
       "      <td>3.952693</td>\n",
       "      <td>2.527621</td>\n",
       "      <td>2.358378</td>\n",
       "      <td>2.414869</td>\n",
       "      <td>2.204600</td>\n",
       "      <td>2.295500</td>\n",
       "      <td>2.167646</td>\n",
       "      <td>2.216867</td>\n",
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       "<p>5 rows × 161 columns</p>\n",
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       "             GSM461348  GSM461349  GSM461350  GSM461351  GSM461352  GSM461353  \\\n",
       "gene_symbol                                                                     \n",
       "A1BG          4.140079   4.589471   4.526200   4.326366   4.141506   4.528423   \n",
       "A1BG-AS1      5.747137   6.130257   5.781449   5.914044   6.277715   5.668244   \n",
       "A1CF          5.026369   5.120523   5.220462   4.828303   5.078094   5.204209   \n",
       "A2M           7.892506   7.730116   7.796338   8.525167   7.545033   7.846979   \n",
       "A2ML1         3.966217   4.482255   3.964664   3.906967   3.952821   3.985276   \n",
       "\n",
       "             GSM461354  GSM461355  GSM461356  GSM461357  ...  GSM1701044  \\\n",
       "gene_symbol                                              ...               \n",
       "A1BG          4.419378   4.345215   4.184150   4.393646  ...    3.490229   \n",
       "A1BG-AS1      5.879830   6.013979   5.968187   6.017624  ...    4.005230   \n",
       "A1CF          4.865024   5.119230   5.219517   4.706891  ...    4.225589   \n",
       "A2M           7.638513   7.487679   7.533089   6.965395  ...   10.273206   \n",
       "A2ML1         3.997008   4.101457   4.015285   3.765736  ...    2.478731   \n",
       "\n",
       "             GSM1701045  GSM1701046  GSM1701047  GSM1701048  GSM1701049  \\\n",
       "gene_symbol                                                               \n",
       "A1BG           4.542913    4.654638    4.199212    4.080964    4.114272   \n",
       "A1BG-AS1       4.301880    4.509698    4.089223    4.129560    3.867568   \n",
       "A1CF           3.530307    3.215182    2.967515    3.012953    3.496765   \n",
       "A2M            4.061912    4.393332    4.716536    3.447348    3.134037   \n",
       "A2ML1          4.132282    3.952693    2.527621    2.358378    2.414869   \n",
       "\n",
       "             GSM1701050  GSM1701051  GSM1701052  GSM1701053  \n",
       "gene_symbol                                                  \n",
       "A1BG           3.883770    4.103220    3.883770    3.487520  \n",
       "A1BG-AS1       4.094032    3.616044    4.307225    3.891060  \n",
       "A1CF           3.117002    3.072093    2.570765    3.163533  \n",
       "A2M            4.009413    3.953612    7.664853    3.548574  \n",
       "A2ML1          2.204600    2.295500    2.167646    2.216867  \n",
       "\n",
       "[5 rows x 161 columns]"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "raw_data=adata.to_df().T\n",
    "raw_data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c24ee91c-8c05-4b37-8b2a-5f7eb2565e30",
   "metadata": {},
   "source": [
    "Removing Batch datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "02753a7a-9c70-42e7-9588-a527b82d661c",
   "metadata": {},
   "outputs": [
    {
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       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>A1BG</th>\n",
       "      <td>4.223549</td>\n",
       "      <td>4.846659</td>\n",
       "      <td>4.758930</td>\n",
       "      <td>4.481847</td>\n",
       "      <td>4.225527</td>\n",
       "      <td>4.762011</td>\n",
       "      <td>4.610814</td>\n",
       "      <td>4.507982</td>\n",
       "      <td>4.284656</td>\n",
       "      <td>4.575134</td>\n",
       "      <td>...</td>\n",
       "      <td>4.237836</td>\n",
       "      <td>5.378695</td>\n",
       "      <td>5.499778</td>\n",
       "      <td>5.006204</td>\n",
       "      <td>4.878052</td>\n",
       "      <td>4.914150</td>\n",
       "      <td>4.664341</td>\n",
       "      <td>4.902172</td>\n",
       "      <td>4.664341</td>\n",
       "      <td>4.234900</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>A1BG-AS1</th>\n",
       "      <td>5.730287</td>\n",
       "      <td>6.253722</td>\n",
       "      <td>5.777166</td>\n",
       "      <td>5.958322</td>\n",
       "      <td>6.455185</td>\n",
       "      <td>5.622501</td>\n",
       "      <td>5.911578</td>\n",
       "      <td>6.094858</td>\n",
       "      <td>6.032295</td>\n",
       "      <td>6.099838</td>\n",
       "      <td>...</td>\n",
       "      <td>5.841898</td>\n",
       "      <td>5.990944</td>\n",
       "      <td>6.095359</td>\n",
       "      <td>5.884098</td>\n",
       "      <td>5.904365</td>\n",
       "      <td>5.772731</td>\n",
       "      <td>5.886515</td>\n",
       "      <td>5.646358</td>\n",
       "      <td>5.993630</td>\n",
       "      <td>5.784535</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>A1CF</th>\n",
       "      <td>3.922941</td>\n",
       "      <td>3.975597</td>\n",
       "      <td>4.031489</td>\n",
       "      <td>3.812171</td>\n",
       "      <td>3.951869</td>\n",
       "      <td>4.022399</td>\n",
       "      <td>3.832708</td>\n",
       "      <td>3.974874</td>\n",
       "      <td>4.030960</td>\n",
       "      <td>3.744271</td>\n",
       "      <td>...</td>\n",
       "      <td>4.229097</td>\n",
       "      <td>3.822095</td>\n",
       "      <td>3.637628</td>\n",
       "      <td>3.492649</td>\n",
       "      <td>3.519248</td>\n",
       "      <td>3.802460</td>\n",
       "      <td>3.580155</td>\n",
       "      <td>3.553867</td>\n",
       "      <td>3.260401</td>\n",
       "      <td>3.607394</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>A2M</th>\n",
       "      <td>9.488789</td>\n",
       "      <td>9.219466</td>\n",
       "      <td>9.329295</td>\n",
       "      <td>10.538060</td>\n",
       "      <td>8.912504</td>\n",
       "      <td>9.413282</td>\n",
       "      <td>9.067542</td>\n",
       "      <td>8.817383</td>\n",
       "      <td>8.892696</td>\n",
       "      <td>7.951175</td>\n",
       "      <td>...</td>\n",
       "      <td>11.137033</td>\n",
       "      <td>7.182184</td>\n",
       "      <td>7.393206</td>\n",
       "      <td>7.598996</td>\n",
       "      <td>6.790880</td>\n",
       "      <td>6.591389</td>\n",
       "      <td>7.148757</td>\n",
       "      <td>7.113228</td>\n",
       "      <td>9.476245</td>\n",
       "      <td>6.855333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>A2ML1</th>\n",
       "      <td>4.317770</td>\n",
       "      <td>5.553678</td>\n",
       "      <td>4.314051</td>\n",
       "      <td>4.175866</td>\n",
       "      <td>4.285686</td>\n",
       "      <td>4.363418</td>\n",
       "      <td>4.391514</td>\n",
       "      <td>4.641670</td>\n",
       "      <td>4.435287</td>\n",
       "      <td>3.837621</td>\n",
       "      <td>...</td>\n",
       "      <td>3.807064</td>\n",
       "      <td>5.766146</td>\n",
       "      <td>5.553374</td>\n",
       "      <td>3.864987</td>\n",
       "      <td>3.664473</td>\n",
       "      <td>3.731402</td>\n",
       "      <td>3.482281</td>\n",
       "      <td>3.589976</td>\n",
       "      <td>3.438499</td>\n",
       "      <td>3.496814</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 161 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "             GSM461348  GSM461349  GSM461350  GSM461351  GSM461352  GSM461353  \\\n",
       "gene_symbol                                                                     \n",
       "A1BG          4.223549   4.846659   4.758930   4.481847   4.225527   4.762011   \n",
       "A1BG-AS1      5.730287   6.253722   5.777166   5.958322   6.455185   5.622501   \n",
       "A1CF          3.922941   3.975597   4.031489   3.812171   3.951869   4.022399   \n",
       "A2M           9.488789   9.219466   9.329295  10.538060   8.912504   9.413282   \n",
       "A2ML1         4.317770   5.553678   4.314051   4.175866   4.285686   4.363418   \n",
       "\n",
       "             GSM461354  GSM461355  GSM461356  GSM461357  ...  GSM1701044  \\\n",
       "gene_symbol                                              ...               \n",
       "A1BG          4.610814   4.507982   4.284656   4.575134  ...    4.237836   \n",
       "A1BG-AS1      5.911578   6.094858   6.032295   6.099838  ...    5.841898   \n",
       "A1CF          3.832708   3.974874   4.030960   3.744271  ...    4.229097   \n",
       "A2M           9.067542   8.817383   8.892696   7.951175  ...   11.137033   \n",
       "A2ML1         4.391514   4.641670   4.435287   3.837621  ...    3.807064   \n",
       "\n",
       "             GSM1701045  GSM1701046  GSM1701047  GSM1701048  GSM1701049  \\\n",
       "gene_symbol                                                               \n",
       "A1BG           5.378695    5.499778    5.006204    4.878052    4.914150   \n",
       "A1BG-AS1       5.990944    6.095359    5.884098    5.904365    5.772731   \n",
       "A1CF           3.822095    3.637628    3.492649    3.519248    3.802460   \n",
       "A2M            7.182184    7.393206    7.598996    6.790880    6.591389   \n",
       "A2ML1          5.766146    5.553374    3.864987    3.664473    3.731402   \n",
       "\n",
       "             GSM1701050  GSM1701051  GSM1701052  GSM1701053  \n",
       "gene_symbol                                                  \n",
       "A1BG           4.664341    4.902172    4.664341    4.234900  \n",
       "A1BG-AS1       5.886515    5.646358    5.993630    5.784535  \n",
       "A1CF           3.580155    3.553867    3.260401    3.607394  \n",
       "A2M            7.148757    7.113228    9.476245    6.855333  \n",
       "A2ML1          3.482281    3.589976    3.438499    3.496814  \n",
       "\n",
       "[5 rows x 161 columns]"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "removing_data=adata.to_df(layer='batch_correction').T\n",
    "removing_data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df2b8f7e-2037-45bb-bad3-b41c37fed8b5",
   "metadata": {},
   "source": [
    "save"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "107bebab-b2fa-4774-852f-d1b4316521f2",
   "metadata": {},
   "outputs": [],
   "source": [
    "raw_data.to_csv('raw_data.csv')\n",
    "removing_data.to_csv('removing_data.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "648e7c2e-16b6-468a-99ec-d2466a444cd5",
   "metadata": {},
   "source": [
    "You can also save adata object"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7927ef3e-e1b1-4a12-8d1c-40c25052dd23",
   "metadata": {},
   "outputs": [],
   "source": [
    "adata.write_h5ad('adata_batch.h5ad',compression='gzip')\n",
    "#adata=ov.read('adata_batch.h5ad')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6c622ea-5e05-4c62-a6f9-4b9987ee8643",
   "metadata": {},
   "source": [
    "## Compare the dataset before and after correction\n",
    "\n",
    "We specify three different colours for three different datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "05fd0df0-1c06-4ccb-93ef-d873db6d1403",
   "metadata": {},
   "outputs": [],
   "source": [
    "color_dict={\n",
    "    '1':ov.utils.red_color[1],\n",
    "    '2':ov.utils.blue_color[1],\n",
    "    '3':ov.utils.green_color[1],\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "4b3b64f5-144c-4fa6-bb8f-1750626afbc0",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1600x320 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 259,
       "width": 1264
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=plt.subplots( figsize = (20,4))\n",
    "bp=plt.boxplot(adata.to_df().T,patch_artist=True)\n",
    "for i,batch in zip(range(adata.shape[0]),adata.obs['batch']):\n",
    "    bp['boxes'][i].set_facecolor(color_dict[batch])\n",
    "ax.axis(False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "1a5e48f8-de51-4a07-b94d-8725b75491ee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x320 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 259,
       "width": 1264
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=plt.subplots( figsize = (20,4))\n",
    "bp=plt.boxplot(adata.to_df(layer='batch_correction').T,patch_artist=True)\n",
    "for i,batch in zip(range(adata.shape[0]),adata.obs['batch']):\n",
    "    bp['boxes'][i].set_facecolor(color_dict[batch])\n",
    "ax.axis(False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0a64d92b-dcc6-49d3-9fc5-64afad451375",
   "metadata": {},
   "source": [
    "In addition to using boxplots to observe the effect of batch removal, we can also use PCA to observe the effect of batch removal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "541b9b04-66cf-49a6-bd12-9fd746e8c8fd",
   "metadata": {},
   "outputs": [],
   "source": [
    "adata.layers['raw']=adata.X.copy()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6402290-62b2-4b9b-ac11-12822dd218b8",
   "metadata": {},
   "source": [
    "We first calculate the PCA on the raw dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "1472a1fc-c102-4f69-8a29-75d84d0e74e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AnnData object with n_obs × n_vars = 161 × 17126\n",
       "    obs: 'batch'\n",
       "    uns: 'raw|original|pca_var_ratios', 'raw|original|cum_sum_eigenvalues'\n",
       "    obsm: 'raw|original|X_pca'\n",
       "    varm: 'raw|original|pca_loadings'\n",
       "    layers: 'batch_correction', 'raw', 'lognorm'"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ov.pp.pca(adata,layer='raw',n_pcs=50)\n",
    "adata"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "054c65d5-8be3-48ec-95c8-8aa931c2bcbb",
   "metadata": {},
   "source": [
    "We then calculate the PCA on the batch_correction dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "0d8b236e-221a-4c6b-9ec3-ce9b46c28756",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AnnData object with n_obs × n_vars = 161 × 17126\n",
       "    obs: 'batch'\n",
       "    uns: 'raw|original|pca_var_ratios', 'raw|original|cum_sum_eigenvalues', 'batch_correction|original|pca_var_ratios', 'batch_correction|original|cum_sum_eigenvalues'\n",
       "    obsm: 'raw|original|X_pca', 'batch_correction|original|X_pca'\n",
       "    varm: 'raw|original|pca_loadings', 'batch_correction|original|pca_loadings'\n",
       "    layers: 'batch_correction', 'raw', 'lognorm'"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ov.pp.pca(adata,layer='batch_correction',n_pcs=50)\n",
    "adata"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "99685554-9c75-40e0-b486-9effb91d7857",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 320x320 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 289,
       "width": 316
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ov.pl.embedding(adata,\n",
    "                  basis='raw|original|X_pca',\n",
    "                  color='batch',\n",
    "                  frameon='small')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8bad6a22-8b91-4dff-a7ea-08534c1e68b2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 320x320 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 289,
       "width": 316
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ov.pl.embedding(adata,\n",
    "                  basis='batch_correction|original|X_pca',\n",
    "                  color='batch',\n",
    "                  frameon='small')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d4fc03a6-b564-4d2e-891a-16b7a44f0476",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}