From dc53ac4aa5ab3db58e0db3510e4d4aa24ca185a8 Mon Sep 17 00:00:00 2001
From: Milton Pividori <miltondp@gmail.com>
Date: Fri, 8 Sep 2023 18:18:41 -0600
Subject: [PATCH] ccc pvalue: run notebooks to compute pvalues under null

---
 ...ccc_pvalue_dist-generate-data_matrix.ipynb | 330 +++++--
 ...-ccc_pvalue_dist-generate-gene_pairs.ipynb | 567 ++++++++---
 nbs/25_pvalue/05-ccc_pvalue_dist-plot.ipynb   | 908 ++++++++++++++++--
 .../01-ccc_pvalue_dist-generate-gene_pairs.py |  24 +-
 nbs/25_pvalue/py/05-ccc_pvalue_dist-plot.py   |  91 +-
 5 files changed, 1589 insertions(+), 331 deletions(-)

diff --git a/nbs/25_pvalue/00-ccc_pvalue_dist-generate-data_matrix.ipynb b/nbs/25_pvalue/00-ccc_pvalue_dist-generate-data_matrix.ipynb
index 576c8537..497d2cc6 100644
--- a/nbs/25_pvalue/00-ccc_pvalue_dist-generate-data_matrix.ipynb
+++ b/nbs/25_pvalue/00-ccc_pvalue_dist-generate-data_matrix.ipynb
@@ -5,10 +5,10 @@
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@@ -22,10 +22,10 @@
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@@ -41,10 +41,10 @@
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@@ -55,14 +55,20 @@
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+   "execution_count": 1,
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@@ -80,10 +86,10 @@
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@@ -94,14 +100,20 @@
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@@ -113,14 +125,20 @@
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@@ -136,10 +154,10 @@
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@@ -150,14 +168,20 @@
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@@ -170,19 +194,36 @@
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+   "execution_count": 5,
    "id": "d083d95e-247e-45cc-bc28-36cf8144383c",
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-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "PosixPath('/opt/data/results/ccc_null-pvalues')"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
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@@ -192,10 +233,10 @@
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@@ -206,14 +247,20 @@
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+   "execution_count": 6,
    "id": "472ff1df-b4f6-417f-b396-58a55ce0e39a",
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@@ -225,19 +272,36 @@
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+   "execution_count": 7,
    "id": "acd7a9c0-d8a8-46f5-ab60-2478347adf36",
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     "tags": []
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-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(100, 1000)"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "data.shape"
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@@ -247,10 +311,10 @@
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@@ -261,14 +325,20 @@
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@@ -284,14 +354,20 @@
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+   "execution_count": 9,
    "id": "5525b4ef-2e2e-4338-b52a-37d8308e237d",
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@@ -303,38 +379,72 @@
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    "id": "e08382ef-423a-4114-9a8f-f1b5abc48055",
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     "tags": []
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-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(4950,)"
+      ]
+     },
+     "execution_count": 10,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "cm_values.shape"
    ]
   },
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+   "execution_count": 11,
    "id": "46e8560e-4c1b-4e2b-b373-f42ca0a59819",
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-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(4950,)"
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "cm_pvalues.shape"
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@@ -344,10 +454,10 @@
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@@ -358,19 +468,35 @@
   },
   {
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-   "execution_count": null,
+   "execution_count": 12,
    "id": "b11f71f7-bab8-4d83-bf49-fd9419648a3d",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:14:04.606283Z",
+     "iopub.status.busy": "2023-09-11T11:14:04.606026Z",
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+    },
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+     "start_time": "2023-09-11T11:14:04.601205",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "PosixPath('/opt/data/results/ccc_null-pvalues/data_matrix-cm_values.npy')"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "output_file = OUTPUT_DIR / \"data_matrix-cm_values.npy\"\n",
     "display(output_file)\n",
@@ -380,19 +506,35 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 13,
    "id": "12968ead-2e56-4214-956c-08f4f02952e9",
    "metadata": {
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+     "iopub.status.busy": "2023-09-11T11:14:04.619519Z",
+     "iopub.status.idle": "2023-09-11T11:14:04.622625Z",
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+    },
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-     "end_time": "2023-09-06T19:36:00.787278",
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      "exception": false,
-     "start_time": "2023-09-06T19:36:00.783911",
+     "start_time": "2023-09-11T11:14:04.614601",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "PosixPath('/opt/data/results/ccc_null-pvalues/data_matrix-cm_pvalues.npy')"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "output_file = OUTPUT_DIR / \"data_matrix-cm_pvalues.npy\"\n",
     "display(output_file)\n",
@@ -406,10 +548,10 @@
    "id": "5f57efbc-893b-44a7-bc7a-77ca6b72a60a",
    "metadata": {
     "papermill": {
-     "duration": 0.001175,
-     "end_time": "2023-09-06T19:36:00.789703",
+     "duration": 0.004601,
+     "end_time": "2023-09-11T11:14:04.633097",
      "exception": false,
-     "start_time": "2023-09-06T19:36:00.788528",
+     "start_time": "2023-09-11T11:14:04.628496",
      "status": "completed"
     },
     "tags": []
@@ -420,13 +562,7 @@
  ],
  "metadata": {
   "jupytext": {
-   "cell_metadata_filter": "all,-execution,-papermill,-trusted",
-   "text_representation": {
-    "extension": ".py",
-    "format_name": "percent",
-    "format_version": "1.3",
-    "jupytext_version": "1.11.5"
-   }
+   "cell_metadata_filter": "all,-execution,-papermill,-trusted"
   },
   "kernelspec": {
    "display_name": "Python 3 (ipykernel)",
@@ -447,14 +583,14 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 6034.996428,
-   "end_time": "2023-09-06T19:36:01.020079",
+   "duration": 181.259588,
+   "end_time": "2023-09-11T11:14:04.853198",
    "environment_variables": {},
    "exception": null,
-   "input_path": "nbs/25_pvalue/00-ccc_pvalue_dist-generate.ipynb",
-   "output_path": "nbs/25_pvalue/00-ccc_pvalue_dist-generate.run.ipynb",
+   "input_path": "nbs/25_pvalue/00-ccc_pvalue_dist-generate-data_matrix.ipynb",
+   "output_path": "nbs/25_pvalue/00-ccc_pvalue_dist-generate-data_matrix.run.ipynb",
    "parameters": {},
-   "start_time": "2023-09-06T17:55:26.023651",
+   "start_time": "2023-09-11T11:11:03.593610",
    "version": "2.3.4"
   }
  },
diff --git a/nbs/25_pvalue/01-ccc_pvalue_dist-generate-gene_pairs.ipynb b/nbs/25_pvalue/01-ccc_pvalue_dist-generate-gene_pairs.ipynb
index 8ae98c1e..152025e5 100644
--- a/nbs/25_pvalue/01-ccc_pvalue_dist-generate-gene_pairs.ipynb
+++ b/nbs/25_pvalue/01-ccc_pvalue_dist-generate-gene_pairs.ipynb
@@ -5,10 +5,10 @@
    "id": "ec52faa3-656f-483e-9617-d7ec0f7d818c",
    "metadata": {
     "papermill": {
-     "duration": 0.003093,
-     "end_time": "2023-09-06T17:55:26.691143",
+     "duration": 0.0061,
+     "end_time": "2023-09-11T11:15:08.181413",
      "exception": false,
-     "start_time": "2023-09-06T17:55:26.688050",
+     "start_time": "2023-09-11T11:15:08.175313",
      "status": "completed"
     },
     "tags": []
@@ -22,10 +22,10 @@
    "id": "51102f42-fcd9-4a58-9c8d-dfcd3d2d464e",
    "metadata": {
     "papermill": {
-     "duration": 0.004704,
-     "end_time": "2023-09-06T17:55:26.705384",
+     "duration": 0.0062,
+     "end_time": "2023-09-11T11:15:08.197806",
      "exception": false,
-     "start_time": "2023-09-06T17:55:26.700680",
+     "start_time": "2023-09-11T11:15:08.191606",
      "status": "completed"
     },
     "tags": []
@@ -41,10 +41,10 @@
    "id": "7006ceeb-2651-407d-bfa1-1039727649ef",
    "metadata": {
     "papermill": {
-     "duration": 0.002814,
-     "end_time": "2023-09-06T17:55:26.710790",
+     "duration": 0.005505,
+     "end_time": "2023-09-11T11:15:08.208521",
      "exception": false,
-     "start_time": "2023-09-06T17:55:26.707976",
+     "start_time": "2023-09-11T11:15:08.203016",
      "status": "completed"
     },
     "tags": []
@@ -55,14 +55,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 1,
    "id": "1ffa1a96-7545-40b9-ac8b-8627e13de8d4",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:15:08.220170Z",
+     "iopub.status.busy": "2023-09-11T11:15:08.219691Z",
+     "iopub.status.idle": "2023-09-11T11:15:08.524394Z",
+     "shell.execute_reply": "2023-09-11T11:15:08.523983Z"
+    },
     "papermill": {
-     "duration": 1.939954,
-     "end_time": "2023-09-06T17:55:28.653439",
+     "duration": 0.312154,
+     "end_time": "2023-09-11T11:15:08.525859",
      "exception": false,
-     "start_time": "2023-09-06T17:55:26.713485",
+     "start_time": "2023-09-11T11:15:08.213705",
      "status": "completed"
     },
     "tags": []
@@ -81,10 +87,10 @@
    "id": "0d3cc810-4b17-4213-8f03-6fe7e97a0fe3",
    "metadata": {
     "papermill": {
-     "duration": 0.001036,
-     "end_time": "2023-09-06T17:55:28.655692",
+     "duration": 0.005145,
+     "end_time": "2023-09-11T11:15:08.536372",
      "exception": false,
-     "start_time": "2023-09-06T17:55:28.654656",
+     "start_time": "2023-09-11T11:15:08.531227",
      "status": "completed"
     },
     "tags": []
@@ -95,14 +101,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 2,
    "id": "a8dfa548-6ce1-4edd-bef2-a919fc6ad850",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:15:08.548015Z",
+     "iopub.status.busy": "2023-09-11T11:15:08.547909Z",
+     "iopub.status.idle": "2023-09-11T11:15:08.550496Z",
+     "shell.execute_reply": "2023-09-11T11:15:08.550117Z"
+    },
     "papermill": {
-     "duration": 0.005077,
-     "end_time": "2023-09-06T17:55:28.662990",
+     "duration": 0.009645,
+     "end_time": "2023-09-11T11:15:08.551632",
      "exception": false,
-     "start_time": "2023-09-06T17:55:28.657913",
+     "start_time": "2023-09-11T11:15:08.541987",
      "status": "completed"
     },
     "tags": []
@@ -114,10 +126,44 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 3,
    "id": "74f8f565-ed30-488f-966a-d153550931ed",
-   "metadata": {},
-   "outputs": [],
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:15:08.562844Z",
+     "iopub.status.busy": "2023-09-11T11:15:08.562763Z",
+     "iopub.status.idle": "2023-09-11T11:15:08.569342Z",
+     "shell.execute_reply": "2023-09-11T11:15:08.569002Z"
+    },
+    "papermill": {
+     "duration": 0.014702,
+     "end_time": "2023-09-11T11:15:08.571718",
+     "exception": false,
+     "start_time": "2023-09-11T11:15:08.557016",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "10"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/plain": [
+       "2"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "N_JOBS = conf.GENERAL[\"N_JOBS\"] // 2\n",
     "display(N_JOBS)\n",
@@ -128,14 +174,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 4,
    "id": "fd167aff-e768-416f-a078-f926f6023a1e",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:15:08.583135Z",
+     "iopub.status.busy": "2023-09-11T11:15:08.583053Z",
+     "iopub.status.idle": "2023-09-11T11:15:08.585075Z",
+     "shell.execute_reply": "2023-09-11T11:15:08.584738Z"
+    },
     "papermill": {
-     "duration": 0.004073,
-     "end_time": "2023-09-06T17:55:28.668116",
+     "duration": 0.009011,
+     "end_time": "2023-09-11T11:15:08.586219",
      "exception": false,
-     "start_time": "2023-09-06T17:55:28.664043",
+     "start_time": "2023-09-11T11:15:08.577208",
      "status": "completed"
     },
     "tags": []
@@ -151,10 +203,10 @@
    "id": "26bab485-b08e-4f59-b547-1da68fd36d54",
    "metadata": {
     "papermill": {
-     "duration": 0.001018,
-     "end_time": "2023-09-06T17:55:28.670228",
+     "duration": 0.005313,
+     "end_time": "2023-09-11T11:15:08.597022",
      "exception": false,
-     "start_time": "2023-09-06T17:55:28.669210",
+     "start_time": "2023-09-11T11:15:08.591709",
      "status": "completed"
     },
     "tags": []
@@ -165,14 +217,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 5,
    "id": "170ee0f3-a6dd-4c8b-9a99-ec6d02df8e2e",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:15:08.608729Z",
+     "iopub.status.busy": "2023-09-11T11:15:08.608396Z",
+     "iopub.status.idle": "2023-09-11T11:15:08.611392Z",
+     "shell.execute_reply": "2023-09-11T11:15:08.610944Z"
+    },
     "papermill": {
-     "duration": 0.003311,
-     "end_time": "2023-09-06T17:55:28.674559",
+     "duration": 0.010175,
+     "end_time": "2023-09-11T11:15:08.612691",
      "exception": false,
-     "start_time": "2023-09-06T17:55:28.671248",
+     "start_time": "2023-09-11T11:15:08.602516",
      "status": "completed"
     },
     "tags": []
@@ -185,19 +243,36 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 6,
    "id": "d083d95e-247e-45cc-bc28-36cf8144383c",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:15:08.624484Z",
+     "iopub.status.busy": "2023-09-11T11:15:08.624333Z",
+     "iopub.status.idle": "2023-09-11T11:15:08.627972Z",
+     "shell.execute_reply": "2023-09-11T11:15:08.627500Z"
+    },
     "papermill": {
-     "duration": 0.004671,
-     "end_time": "2023-09-06T17:55:28.680257",
+     "duration": 0.010816,
+     "end_time": "2023-09-11T11:15:08.629175",
      "exception": false,
-     "start_time": "2023-09-06T17:55:28.675586",
+     "start_time": "2023-09-11T11:15:08.618359",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "PosixPath('/opt/data/results/ccc_null-pvalues')"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "OUTPUT_DIR"
    ]
@@ -207,10 +282,10 @@
    "id": "6b593ccb-bce7-4a6b-818f-79d5378d4610",
    "metadata": {
     "papermill": {
-     "duration": 0.001047,
-     "end_time": "2023-09-06T17:55:28.682448",
+     "duration": 0.005339,
+     "end_time": "2023-09-11T11:15:08.640569",
      "exception": false,
-     "start_time": "2023-09-06T17:55:28.681401",
+     "start_time": "2023-09-11T11:15:08.635230",
      "status": "completed"
     },
     "tags": []
@@ -221,14 +296,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 7,
    "id": "472ff1df-b4f6-417f-b396-58a55ce0e39a",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:15:08.648339Z",
+     "iopub.status.busy": "2023-09-11T11:15:08.648189Z",
+     "iopub.status.idle": "2023-09-11T11:15:08.651801Z",
+     "shell.execute_reply": "2023-09-11T11:15:08.651341Z"
+    },
     "papermill": {
-     "duration": 0.003501,
-     "end_time": "2023-09-06T17:55:28.687033",
+     "duration": 0.007797,
+     "end_time": "2023-09-11T11:15:08.652597",
      "exception": false,
-     "start_time": "2023-09-06T17:55:28.683532",
+     "start_time": "2023-09-11T11:15:08.644800",
      "status": "completed"
     },
     "tags": []
@@ -240,19 +321,36 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 8,
    "id": "acd7a9c0-d8a8-46f5-ab60-2478347adf36",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:15:08.659202Z",
+     "iopub.status.busy": "2023-09-11T11:15:08.658839Z",
+     "iopub.status.idle": "2023-09-11T11:15:08.662320Z",
+     "shell.execute_reply": "2023-09-11T11:15:08.661883Z"
+    },
     "papermill": {
-     "duration": 0.003179,
-     "end_time": "2023-09-06T17:55:28.691323",
+     "duration": 0.007604,
+     "end_time": "2023-09-11T11:15:08.663093",
      "exception": false,
-     "start_time": "2023-09-06T17:55:28.688144",
+     "start_time": "2023-09-11T11:15:08.655489",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(100, 1000)"
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "data.shape"
    ]
@@ -262,10 +360,10 @@
    "id": "7c24b674-edde-4b83-817d-c7f10729cdc8",
    "metadata": {
     "papermill": {
-     "duration": 0.001073,
-     "end_time": "2023-09-06T17:55:28.693551",
+     "duration": 0.002895,
+     "end_time": "2023-09-11T11:15:08.668981",
      "exception": false,
-     "start_time": "2023-09-06T17:55:28.692478",
+     "start_time": "2023-09-11T11:15:08.666086",
      "status": "completed"
     },
     "tags": []
@@ -276,22 +374,50 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 9,
    "id": "c8a85ce0-4c5a-4ed9-8ad6-24b21fb10b1e",
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:15:08.675886Z",
+     "iopub.status.busy": "2023-09-11T11:15:08.675551Z",
+     "iopub.status.idle": "2023-09-11T11:15:08.678495Z",
+     "shell.execute_reply": "2023-09-11T11:15:08.678048Z"
+    },
+    "papermill": {
+     "duration": 0.007204,
+     "end_time": "2023-09-11T11:15:08.679263",
+     "exception": false,
+     "start_time": "2023-09-11T11:15:08.672059",
+     "status": "completed"
+    },
+    "tags": []
+   },
    "outputs": [],
    "source": [
     "def ccc_single(x, y):\n",
-    "    return ccc(\n",
-    "        x, y, n_jobs=1, pvalue_n_perms=PVALUE_N_PERMS, pvalue_n_jobs=PVALUE_N_JOBS\n",
-    "    )"
+    "    return ccc(x, y, pvalue_n_perms=PVALUE_N_PERMS, n_jobs=PVALUE_N_JOBS)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 10,
    "id": "6f32ad1a-3b2f-4e08-8a53-35cfb68e3970",
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:15:08.685980Z",
+     "iopub.status.busy": "2023-09-11T11:15:08.685605Z",
+     "iopub.status.idle": "2023-09-11T11:22:54.420710Z",
+     "shell.execute_reply": "2023-09-11T11:22:54.420156Z"
+    },
+    "papermill": {
+     "duration": 465.740263,
+     "end_time": "2023-09-11T11:22:54.422465",
+     "exception": false,
+     "start_time": "2023-09-11T11:15:08.682202",
+     "status": "completed"
+    },
+    "tags": []
+   },
    "outputs": [],
    "source": [
     "results = Parallel(n_jobs=N_JOBS)(\n",
@@ -303,9 +429,24 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 11,
    "id": "e68a65a5-8bba-4a79-a740-26d722dc670e",
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:22:54.440785Z",
+     "iopub.status.busy": "2023-09-11T11:22:54.440681Z",
+     "iopub.status.idle": "2023-09-11T11:22:54.443400Z",
+     "shell.execute_reply": "2023-09-11T11:22:54.442997Z"
+    },
+    "papermill": {
+     "duration": 0.015749,
+     "end_time": "2023-09-11T11:22:54.444654",
+     "exception": false,
+     "start_time": "2023-09-11T11:22:54.428905",
+     "status": "completed"
+    },
+    "tags": []
+   },
    "outputs": [],
    "source": [
     "assert len(results) == (DATA_N_OBJS * (DATA_N_OBJS - 1)) / 2"
@@ -313,19 +454,60 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 12,
    "id": "907fa03e-616a-4463-83e7-4175d714167f",
-   "metadata": {},
-   "outputs": [],
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:22:54.457434Z",
+     "iopub.status.busy": "2023-09-11T11:22:54.457140Z",
+     "iopub.status.idle": "2023-09-11T11:22:54.460618Z",
+     "shell.execute_reply": "2023-09-11T11:22:54.460309Z"
+    },
+    "papermill": {
+     "duration": 0.011488,
+     "end_time": "2023-09-11T11:22:54.462109",
+     "exception": false,
+     "start_time": "2023-09-11T11:22:54.450621",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(0.0025468387096774193, 0.5224775224775224)"
+      ]
+     },
+     "execution_count": 12,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "results[0]"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 13,
    "id": "5ed53d3b-e78d-4f4b-a262-c6abe7f8840d",
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:22:54.475102Z",
+     "iopub.status.busy": "2023-09-11T11:22:54.474752Z",
+     "iopub.status.idle": "2023-09-11T11:22:54.477764Z",
+     "shell.execute_reply": "2023-09-11T11:22:54.477456Z"
+    },
+    "papermill": {
+     "duration": 0.010736,
+     "end_time": "2023-09-11T11:22:54.478993",
+     "exception": false,
+     "start_time": "2023-09-11T11:22:54.468257",
+     "status": "completed"
+    },
+    "tags": []
+   },
    "outputs": [],
    "source": [
     "cm_values = [x[0] for x in results]"
@@ -333,9 +515,24 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 14,
    "id": "2972d472-725d-4fe0-83d8-57e2f68f8ecb",
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:22:54.491900Z",
+     "iopub.status.busy": "2023-09-11T11:22:54.491543Z",
+     "iopub.status.idle": "2023-09-11T11:22:54.494206Z",
+     "shell.execute_reply": "2023-09-11T11:22:54.493905Z"
+    },
+    "papermill": {
+     "duration": 0.010273,
+     "end_time": "2023-09-11T11:22:54.495388",
+     "exception": false,
+     "start_time": "2023-09-11T11:22:54.485115",
+     "status": "completed"
+    },
+    "tags": []
+   },
    "outputs": [],
    "source": [
     "cm_pvalues = [x[1] for x in results]"
@@ -343,9 +540,24 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 15,
    "id": "003f5e04-5e2e-477f-b66a-ea28ac1a8abc",
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:22:54.508486Z",
+     "iopub.status.busy": "2023-09-11T11:22:54.508169Z",
+     "iopub.status.idle": "2023-09-11T11:22:54.510802Z",
+     "shell.execute_reply": "2023-09-11T11:22:54.510500Z"
+    },
+    "papermill": {
+     "duration": 0.010332,
+     "end_time": "2023-09-11T11:22:54.512000",
+     "exception": false,
+     "start_time": "2023-09-11T11:22:54.501668",
+     "status": "completed"
+    },
+    "tags": []
+   },
    "outputs": [],
    "source": [
     "assert len(cm_values) == len(cm_pvalues)\n",
@@ -354,14 +566,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 16,
    "id": "5525b4ef-2e2e-4338-b52a-37d8308e237d",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:22:54.524766Z",
+     "iopub.status.busy": "2023-09-11T11:22:54.524503Z",
+     "iopub.status.idle": "2023-09-11T11:22:54.527884Z",
+     "shell.execute_reply": "2023-09-11T11:22:54.527479Z"
+    },
     "papermill": {
-     "duration": 0.012058,
-     "end_time": "2023-09-06T19:36:00.762002",
+     "duration": 0.011062,
+     "end_time": "2023-09-11T11:22:54.529095",
      "exception": false,
-     "start_time": "2023-09-06T19:36:00.749944",
+     "start_time": "2023-09-11T11:22:54.518033",
      "status": "completed"
     },
     "tags": []
@@ -374,67 +592,146 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 17,
    "id": "e08382ef-423a-4114-9a8f-f1b5abc48055",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:22:54.542013Z",
+     "iopub.status.busy": "2023-09-11T11:22:54.541641Z",
+     "iopub.status.idle": "2023-09-11T11:22:54.544993Z",
+     "shell.execute_reply": "2023-09-11T11:22:54.544606Z"
+    },
     "papermill": {
-     "duration": 0.005248,
-     "end_time": "2023-09-06T19:36:00.769387",
+     "duration": 0.011052,
+     "end_time": "2023-09-11T11:22:54.546238",
      "exception": false,
-     "start_time": "2023-09-06T19:36:00.764139",
+     "start_time": "2023-09-11T11:22:54.535186",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(4950,)"
+      ]
+     },
+     "execution_count": 17,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "cm_values.shape"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 18,
    "id": "93c4f9d7-6727-4db1-8bcc-1b618ecf41fe",
-   "metadata": {},
-   "outputs": [],
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:22:54.558337Z",
+     "iopub.status.busy": "2023-09-11T11:22:54.558065Z",
+     "iopub.status.idle": "2023-09-11T11:22:54.561726Z",
+     "shell.execute_reply": "2023-09-11T11:22:54.561362Z"
+    },
+    "papermill": {
+     "duration": 0.010049,
+     "end_time": "2023-09-11T11:22:54.562455",
+     "exception": false,
+     "start_time": "2023-09-11T11:22:54.552406",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([0.00254684, 0.00104179, 0.00320558, ..., 0.00426304, 0.00043899,\n",
+       "       0.00321309])"
+      ]
+     },
+     "execution_count": 18,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "cm_values"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 19,
    "id": "46e8560e-4c1b-4e2b-b373-f42ca0a59819",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:22:54.569451Z",
+     "iopub.status.busy": "2023-09-11T11:22:54.569108Z",
+     "iopub.status.idle": "2023-09-11T11:22:54.572398Z",
+     "shell.execute_reply": "2023-09-11T11:22:54.572016Z"
+    },
     "papermill": {
-     "duration": 0.003931,
-     "end_time": "2023-09-06T19:36:00.774747",
+     "duration": 0.007598,
+     "end_time": "2023-09-11T11:22:54.573145",
      "exception": false,
-     "start_time": "2023-09-06T19:36:00.770816",
+     "start_time": "2023-09-11T11:22:54.565547",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(4950,)"
+      ]
+     },
+     "execution_count": 19,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "cm_pvalues.shape"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 20,
    "id": "31ce94b0-ce31-4de6-9848-c1644268bd2b",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:22:54.580346Z",
+     "iopub.status.busy": "2023-09-11T11:22:54.580025Z",
+     "iopub.status.idle": "2023-09-11T11:22:54.583626Z",
+     "shell.execute_reply": "2023-09-11T11:22:54.583248Z"
+    },
     "papermill": {
-     "duration": 0.003931,
-     "end_time": "2023-09-06T19:36:00.774747",
+     "duration": 0.007994,
+     "end_time": "2023-09-11T11:22:54.584360",
      "exception": false,
-     "start_time": "2023-09-06T19:36:00.770816",
+     "start_time": "2023-09-11T11:22:54.576366",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([0.52247752, 0.92607393, 0.35164835, ..., 0.14085914, 0.98201798,\n",
+       "       0.37062937])"
+      ]
+     },
+     "execution_count": 20,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "cm_pvalues"
    ]
@@ -444,10 +741,10 @@
    "id": "d25a59fa-a22b-41e0-84a3-74414ddaad23",
    "metadata": {
     "papermill": {
-     "duration": 0.001184,
-     "end_time": "2023-09-06T19:36:00.777478",
+     "duration": 0.003184,
+     "end_time": "2023-09-11T11:22:54.590759",
      "exception": false,
-     "start_time": "2023-09-06T19:36:00.776294",
+     "start_time": "2023-09-11T11:22:54.587575",
      "status": "completed"
     },
     "tags": []
@@ -458,19 +755,35 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 21,
    "id": "b11f71f7-bab8-4d83-bf49-fd9419648a3d",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:22:54.598170Z",
+     "iopub.status.busy": "2023-09-11T11:22:54.597750Z",
+     "iopub.status.idle": "2023-09-11T11:22:54.601880Z",
+     "shell.execute_reply": "2023-09-11T11:22:54.601511Z"
+    },
     "papermill": {
-     "duration": 0.003911,
-     "end_time": "2023-09-06T19:36:00.782652",
+     "duration": 0.008549,
+     "end_time": "2023-09-11T11:22:54.602620",
      "exception": false,
-     "start_time": "2023-09-06T19:36:00.778741",
+     "start_time": "2023-09-11T11:22:54.594071",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "PosixPath('/opt/data/results/ccc_null-pvalues/gene_pairs-cm_values.npy')"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "output_file = OUTPUT_DIR / \"gene_pairs-cm_values.npy\"\n",
     "display(output_file)\n",
@@ -480,19 +793,35 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 22,
    "id": "12968ead-2e56-4214-956c-08f4f02952e9",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:22:54.610123Z",
+     "iopub.status.busy": "2023-09-11T11:22:54.609773Z",
+     "iopub.status.idle": "2023-09-11T11:22:54.613645Z",
+     "shell.execute_reply": "2023-09-11T11:22:54.613278Z"
+    },
     "papermill": {
-     "duration": 0.003367,
-     "end_time": "2023-09-06T19:36:00.787278",
+     "duration": 0.008369,
+     "end_time": "2023-09-11T11:22:54.614389",
      "exception": false,
-     "start_time": "2023-09-06T19:36:00.783911",
+     "start_time": "2023-09-11T11:22:54.606020",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "PosixPath('/opt/data/results/ccc_null-pvalues/gene_pairs-cm_pvalues.npy')"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "output_file = OUTPUT_DIR / \"gene_pairs-cm_pvalues.npy\"\n",
     "display(output_file)\n",
@@ -506,10 +835,10 @@
    "id": "5f57efbc-893b-44a7-bc7a-77ca6b72a60a",
    "metadata": {
     "papermill": {
-     "duration": 0.001175,
-     "end_time": "2023-09-06T19:36:00.789703",
+     "duration": 0.022175,
+     "end_time": "2023-09-11T11:22:54.639886",
      "exception": false,
-     "start_time": "2023-09-06T19:36:00.788528",
+     "start_time": "2023-09-11T11:22:54.617711",
      "status": "completed"
     },
     "tags": []
@@ -520,13 +849,7 @@
  ],
  "metadata": {
   "jupytext": {
-   "cell_metadata_filter": "all,-execution,-papermill,-trusted",
-   "text_representation": {
-    "extension": ".py",
-    "format_name": "percent",
-    "format_version": "1.3",
-    "jupytext_version": "1.11.5"
-   }
+   "cell_metadata_filter": "all,-execution,-papermill,-trusted"
   },
   "kernelspec": {
    "display_name": "Python 3 (ipykernel)",
@@ -547,14 +870,14 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 6034.996428,
-   "end_time": "2023-09-06T19:36:01.020079",
+   "duration": 469.950082,
+   "end_time": "2023-09-11T11:22:57.258822",
    "environment_variables": {},
    "exception": null,
-   "input_path": "nbs/25_pvalue/00-ccc_pvalue_dist-generate.ipynb",
-   "output_path": "nbs/25_pvalue/00-ccc_pvalue_dist-generate.run.ipynb",
+   "input_path": "nbs/25_pvalue/01-ccc_pvalue_dist-generate-gene_pairs.ipynb",
+   "output_path": "nbs/25_pvalue/01-ccc_pvalue_dist-generate-gene_pairs.run.ipynb",
    "parameters": {},
-   "start_time": "2023-09-06T17:55:26.023651",
+   "start_time": "2023-09-11T11:15:07.308740",
    "version": "2.3.4"
   }
  },
diff --git a/nbs/25_pvalue/05-ccc_pvalue_dist-plot.ipynb b/nbs/25_pvalue/05-ccc_pvalue_dist-plot.ipynb
index a7ec11a3..a32f1fd5 100644
--- a/nbs/25_pvalue/05-ccc_pvalue_dist-plot.ipynb
+++ b/nbs/25_pvalue/05-ccc_pvalue_dist-plot.ipynb
@@ -5,10 +5,10 @@
    "id": "ec52faa3-656f-483e-9617-d7ec0f7d818c",
    "metadata": {
     "papermill": {
-     "duration": 0.005627,
-     "end_time": "2023-09-06T19:42:42.458460",
+     "duration": 0.006935,
+     "end_time": "2023-09-11T11:22:59.491508",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.452833",
+     "start_time": "2023-09-11T11:22:59.484573",
      "status": "completed"
     },
     "tags": []
@@ -22,10 +22,10 @@
    "id": "51102f42-fcd9-4a58-9c8d-dfcd3d2d464e",
    "metadata": {
     "papermill": {
-     "duration": 0.000815,
-     "end_time": "2023-09-06T19:42:42.462478",
+     "duration": 0.005594,
+     "end_time": "2023-09-11T11:22:59.504082",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.461663",
+     "start_time": "2023-09-11T11:22:59.498488",
      "status": "completed"
     },
     "tags": []
@@ -39,10 +39,10 @@
    "id": "7006ceeb-2651-407d-bfa1-1039727649ef",
    "metadata": {
     "papermill": {
-     "duration": 0.001419,
-     "end_time": "2023-09-06T19:42:42.464976",
+     "duration": 0.005538,
+     "end_time": "2023-09-11T11:22:59.515296",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.463557",
+     "start_time": "2023-09-11T11:22:59.509758",
      "status": "completed"
     },
     "tags": []
@@ -53,14 +53,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 1,
    "id": "1ffa1a96-7545-40b9-ac8b-8627e13de8d4",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:22:59.527873Z",
+     "iopub.status.busy": "2023-09-11T11:22:59.527600Z",
+     "iopub.status.idle": "2023-09-11T11:23:00.020086Z",
+     "shell.execute_reply": "2023-09-11T11:23:00.019592Z"
+    },
     "papermill": {
-     "duration": 0.289145,
-     "end_time": "2023-09-06T19:42:42.755606",
+     "duration": 0.500866,
+     "end_time": "2023-09-11T11:23:00.021827",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.466461",
+     "start_time": "2023-09-11T11:22:59.520961",
      "status": "completed"
     },
     "tags": []
@@ -80,10 +86,10 @@
    "id": "0d3cc810-4b17-4213-8f03-6fe7e97a0fe3",
    "metadata": {
     "papermill": {
-     "duration": 0.001048,
-     "end_time": "2023-09-06T19:42:42.757777",
+     "duration": 0.010303,
+     "end_time": "2023-09-11T11:23:00.038685",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.756729",
+     "start_time": "2023-09-11T11:23:00.028382",
      "status": "completed"
     },
     "tags": []
@@ -98,10 +104,10 @@
    "id": "9a154623-c787-4a31-871a-cad173f0eb9f",
    "metadata": {
     "papermill": {
-     "duration": 0.001997,
-     "end_time": "2023-09-06T19:42:42.762786",
+     "duration": 0.005561,
+     "end_time": "2023-09-11T11:23:00.049948",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.760789",
+     "start_time": "2023-09-11T11:23:00.044387",
      "status": "completed"
     },
     "tags": []
@@ -114,10 +120,10 @@
    "id": "5b09ff83-5377-49a9-b24b-65c6c90277d6",
    "metadata": {
     "papermill": {
-     "duration": 0.001406,
-     "end_time": "2023-09-06T19:42:42.765574",
+     "duration": 0.005558,
+     "end_time": "2023-09-11T11:23:00.061203",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.764168",
+     "start_time": "2023-09-11T11:23:00.055645",
      "status": "completed"
     },
     "tags": []
@@ -128,14 +134,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 2,
    "id": "0122253c-99c0-41e2-8807-60df86bf0619",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:00.073230Z",
+     "iopub.status.busy": "2023-09-11T11:23:00.073128Z",
+     "iopub.status.idle": "2023-09-11T11:23:00.075614Z",
+     "shell.execute_reply": "2023-09-11T11:23:00.075281Z"
+    },
     "papermill": {
-     "duration": 0.003911,
-     "end_time": "2023-09-06T19:42:42.770897",
+     "duration": 0.009949,
+     "end_time": "2023-09-11T11:23:00.076806",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.766986",
+     "start_time": "2023-09-11T11:23:00.066857",
      "status": "completed"
     },
     "tags": []
@@ -148,19 +160,36 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 3,
    "id": "3003ed2c-5da0-43b9-969d-9cf037d05730",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:00.088758Z",
+     "iopub.status.busy": "2023-09-11T11:23:00.088471Z",
+     "iopub.status.idle": "2023-09-11T11:23:00.092342Z",
+     "shell.execute_reply": "2023-09-11T11:23:00.091899Z"
+    },
     "papermill": {
-     "duration": 0.003597,
-     "end_time": "2023-09-06T19:42:42.775479",
+     "duration": 0.01148,
+     "end_time": "2023-09-11T11:23:00.093944",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.771882",
+     "start_time": "2023-09-11T11:23:00.082464",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "PosixPath('/opt/data/results/ccc_null-pvalues')"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "OUTPUT_DIR"
    ]
@@ -170,75 +199,140 @@
    "id": "6b593ccb-bce7-4a6b-818f-79d5378d4610",
    "metadata": {
     "papermill": {
-     "duration": 0.000901,
-     "end_time": "2023-09-06T19:42:42.777400",
+     "duration": 0.005592,
+     "end_time": "2023-09-11T11:23:00.105500",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:00.099908",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "source": [
+    "# From data matrix"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "28a9cae2-a67c-4d72-ba40-75732b6867f4",
+   "metadata": {
+    "papermill": {
+     "duration": 0.005669,
+     "end_time": "2023-09-11T11:23:00.116953",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.776499",
+     "start_time": "2023-09-11T11:23:00.111284",
      "status": "completed"
     },
     "tags": []
    },
    "source": [
-    "# Load CCC values and pvalues"
+    "## Load CCC values and pvalues"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 4,
    "id": "472ff1df-b4f6-417f-b396-58a55ce0e39a",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:00.127128Z",
+     "iopub.status.busy": "2023-09-11T11:23:00.126753Z",
+     "iopub.status.idle": "2023-09-11T11:23:00.131348Z",
+     "shell.execute_reply": "2023-09-11T11:23:00.130857Z"
+    },
     "papermill": {
-     "duration": 0.00377,
-     "end_time": "2023-09-06T19:42:42.782134",
+     "duration": 0.00974,
+     "end_time": "2023-09-11T11:23:00.132164",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.778364",
+     "start_time": "2023-09-11T11:23:00.122424",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(4950,)"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
-    "output_file = OUTPUT_DIR / \"cm_values.npy\"\n",
+    "output_file = OUTPUT_DIR / \"data_matrix-cm_values.npy\"\n",
     "cm_values = np.load(output_file)\n",
     "display(cm_values.shape)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 5,
    "id": "3412010d-d281-4dfc-99de-61fc55f603cf",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:00.139184Z",
+     "iopub.status.busy": "2023-09-11T11:23:00.138871Z",
+     "iopub.status.idle": "2023-09-11T11:23:00.143018Z",
+     "shell.execute_reply": "2023-09-11T11:23:00.142584Z"
+    },
     "papermill": {
-     "duration": 0.003332,
-     "end_time": "2023-09-06T19:42:42.786509",
+     "duration": 0.008585,
+     "end_time": "2023-09-11T11:23:00.143868",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.783177",
+     "start_time": "2023-09-11T11:23:00.135283",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(4950,)"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
-    "output_file = OUTPUT_DIR / \"cm_pvalues.npy\"\n",
+    "output_file = OUTPUT_DIR / \"data_matrix-cm_pvalues.npy\"\n",
     "cm_pvalues = np.load(output_file)\n",
     "display(cm_pvalues.shape)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 6,
    "id": "8448d17b",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:00.151009Z",
+     "iopub.status.busy": "2023-09-11T11:23:00.150718Z",
+     "iopub.status.idle": "2023-09-11T11:23:00.154511Z",
+     "shell.execute_reply": "2023-09-11T11:23:00.154073Z"
+    },
     "papermill": {
-     "duration": 0.003142,
-     "end_time": "2023-09-06T19:42:42.790711",
+     "duration": 0.00821,
+     "end_time": "2023-09-11T11:23:00.155226",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.787569",
+     "start_time": "2023-09-11T11:23:00.147016",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.00020197939810139365"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "n_perms = cm_pvalues.shape[0]\n",
     "min_pvalue_resolution = (0 + 1) / (n_perms + 1)\n",
@@ -250,35 +344,81 @@
    "id": "d25a59fa-a22b-41e0-84a3-74414ddaad23",
    "metadata": {
     "papermill": {
-     "duration": 0.000999,
-     "end_time": "2023-09-06T19:42:42.792810",
+     "duration": 0.003209,
+     "end_time": "2023-09-11T11:23:00.161582",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.791811",
+     "start_time": "2023-09-11T11:23:00.158373",
      "status": "completed"
     },
     "tags": []
    },
    "source": [
-    "# Plots"
+    "## Plots"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "10af7dd1-d6d8-476b-9071-809fb3a1ba91",
+   "metadata": {
+    "papermill": {
+     "duration": 0.003066,
+     "end_time": "2023-09-11T11:23:00.167852",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:00.164786",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "source": [
+    "### CCC values"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 7,
    "id": "615d9e99-d2d7-4cce-8517-32907a236b27",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:00.175029Z",
+     "iopub.status.busy": "2023-09-11T11:23:00.174751Z",
+     "iopub.status.idle": "2023-09-11T11:23:00.290556Z",
+     "shell.execute_reply": "2023-09-11T11:23:00.290185Z"
+    },
     "papermill": {
-     "duration": 0.042107,
-     "end_time": "2023-09-06T19:42:42.835967",
+     "duration": 0.120735,
+     "end_time": "2023-09-11T11:23:00.291730",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.793860",
+     "start_time": "2023-09-11T11:23:00.170995",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, 'Frequency')"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
    "source": [
-    "plt.hist(cm_pvalues, bins=10, edgecolor=\"k\")  # Adjust the number of bins as needed\n",
+    "plt.hist(cm_values, bins=10, edgecolor=\"k\")  # Adjust the number of bins as needed\n",
     "plt.title(\"Distribution of Values\")\n",
     "plt.xlabel(\"Value\")\n",
     "plt.ylabel(\"Frequency\")"
@@ -286,21 +426,50 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 8,
    "id": "37a85073-a287-48e6-adc6-f86808f15111",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:00.305147Z",
+     "iopub.status.busy": "2023-09-11T11:23:00.304829Z",
+     "iopub.status.idle": "2023-09-11T11:23:00.448779Z",
+     "shell.execute_reply": "2023-09-11T11:23:00.448397Z"
+    },
     "papermill": {
-     "duration": 0.068277,
-     "end_time": "2023-09-06T19:42:42.905481",
+     "duration": 0.151805,
+     "end_time": "2023-09-11T11:23:00.449918",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.837204",
+     "start_time": "2023-09-11T11:23:00.298113",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, 'Density')"
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
    "source": [
-    "sns.histplot(cm_pvalues, kde=True, color=\"blue\")\n",
+    "sns.histplot(cm_values, kde=True, color=\"blue\")\n",
     "plt.title(\"Distribution of Values\")\n",
     "plt.xlabel(\"Value\")\n",
     "plt.ylabel(\"Density\")"
@@ -308,36 +477,595 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5417f0e8-47f6-46c2-a6f8-20151b027e67",
+   "id": "39d3353a-8ce9-41e0-8292-e78838eb827b",
    "metadata": {
     "papermill": {
-     "duration": 0.00125,
-     "end_time": "2023-09-06T19:42:42.908160",
+     "duration": 0.0065,
+     "end_time": "2023-09-11T11:23:00.463499",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.906910",
+     "start_time": "2023-09-11T11:23:00.456999",
      "status": "completed"
     },
     "tags": []
    },
    "source": [
-    "# KS"
+    "### CCC p-values"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 9,
+   "id": "7b1c54d4-d867-4fca-9681-c8ec4ebc0fd5",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:00.477502Z",
+     "iopub.status.busy": "2023-09-11T11:23:00.477413Z",
+     "iopub.status.idle": "2023-09-11T11:23:00.589641Z",
+     "shell.execute_reply": "2023-09-11T11:23:00.589266Z"
+    },
+    "papermill": {
+     "duration": 0.120644,
+     "end_time": "2023-09-11T11:23:00.590817",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:00.470173",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, 'Frequency')"
+      ]
+     },
+     "execution_count": 9,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.hist(cm_pvalues, bins=10, edgecolor=\"k\")  # Adjust the number of bins as needed\n",
+    "plt.title(\"Distribution of Values\")\n",
+    "plt.xlabel(\"Value\")\n",
+    "plt.ylabel(\"Frequency\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "69ed2dd4-1f3c-439d-9828-7143f7f3d9b3",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:00.605546Z",
+     "iopub.status.busy": "2023-09-11T11:23:00.605297Z",
+     "iopub.status.idle": "2023-09-11T11:23:00.698640Z",
+     "shell.execute_reply": "2023-09-11T11:23:00.698263Z"
+    },
+    "papermill": {
+     "duration": 0.102079,
+     "end_time": "2023-09-11T11:23:00.699866",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:00.597787",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, 'Density')"
+      ]
+     },
+     "execution_count": 10,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "sns.histplot(cm_pvalues, kde=True, color=\"blue\")\n",
+    "plt.title(\"Distribution of Values\")\n",
+    "plt.xlabel(\"Value\")\n",
+    "plt.ylabel(\"Density\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
    "id": "abf1ab0c-3528-4942-b6b0-f96c944f629c",
    "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:00.718801Z",
+     "iopub.status.busy": "2023-09-11T11:23:00.718620Z",
+     "iopub.status.idle": "2023-09-11T11:23:00.722257Z",
+     "shell.execute_reply": "2023-09-11T11:23:00.721917Z"
+    },
     "papermill": {
-     "duration": 0.004399,
-     "end_time": "2023-09-06T19:42:42.913835",
+     "duration": 0.015801,
+     "end_time": "2023-09-11T11:23:00.723417",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.909436",
+     "start_time": "2023-09-11T11:23:00.707616",
      "status": "completed"
     },
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "KstestResult(statistic=0.01228690501417784, pvalue=0.4401332944319061)"
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "stats.kstest(\n",
+    "    cm_pvalues,\n",
+    "    stats.uniform.cdf,\n",
+    "    args=(min_pvalue_resolution, 1 - min_pvalue_resolution),\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "63503038-ad7b-44cb-9fff-00e817d0bf2e",
+   "metadata": {
+    "papermill": {
+     "duration": 0.007378,
+     "end_time": "2023-09-11T11:23:00.738307",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:00.730929",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "source": [
+    "# From gene pairs"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "c3cf8026-6db9-49a3-a97f-8930f4cf9431",
+   "metadata": {
+    "papermill": {
+     "duration": 0.007379,
+     "end_time": "2023-09-11T11:23:00.753210",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:00.745831",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "source": [
+    "## Load CCC values and pvalues"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "id": "c7ca9155-ebd5-4c27-9065-ab47ebf2ba25",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:00.768968Z",
+     "iopub.status.busy": "2023-09-11T11:23:00.768559Z",
+     "iopub.status.idle": "2023-09-11T11:23:00.772187Z",
+     "shell.execute_reply": "2023-09-11T11:23:00.771739Z"
+    },
+    "papermill": {
+     "duration": 0.012708,
+     "end_time": "2023-09-11T11:23:00.773415",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:00.760707",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(4950,)"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "output_file = OUTPUT_DIR / \"gene_pairs-cm_values.npy\"\n",
+    "cm_values = np.load(output_file)\n",
+    "display(cm_values.shape)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "id": "8df20fa8-49e2-40d7-8d0a-2f91ce4c7c13",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:00.789525Z",
+     "iopub.status.busy": "2023-09-11T11:23:00.789210Z",
+     "iopub.status.idle": "2023-09-11T11:23:00.793426Z",
+     "shell.execute_reply": "2023-09-11T11:23:00.792989Z"
+    },
+    "papermill": {
+     "duration": 0.013652,
+     "end_time": "2023-09-11T11:23:00.794618",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:00.780966",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(4950,)"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "output_file = OUTPUT_DIR / \"gene_pairs-cm_pvalues.npy\"\n",
+    "cm_pvalues = np.load(output_file)\n",
+    "display(cm_pvalues.shape)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "id": "0c49eace-cd28-431f-bf47-89c1389690ea",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:00.809838Z",
+     "iopub.status.busy": "2023-09-11T11:23:00.809517Z",
+     "iopub.status.idle": "2023-09-11T11:23:00.813351Z",
+     "shell.execute_reply": "2023-09-11T11:23:00.812907Z"
+    },
+    "papermill": {
+     "duration": 0.011884,
+     "end_time": "2023-09-11T11:23:00.814106",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:00.802222",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.00020197939810139365"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "n_perms = cm_pvalues.shape[0]\n",
+    "min_pvalue_resolution = (0 + 1) / (n_perms + 1)\n",
+    "display(min_pvalue_resolution)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "6af832fb-d9ca-4e76-80d1-df7830b0b5c8",
+   "metadata": {
+    "papermill": {
+     "duration": 0.004127,
+     "end_time": "2023-09-11T11:23:00.822245",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:00.818118",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "source": [
+    "## Plots"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "ebdb93c1-4114-455c-8559-b9315074ed69",
+   "metadata": {
+    "papermill": {
+     "duration": 0.022706,
+     "end_time": "2023-09-11T11:23:00.849017",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:00.826311",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "source": [
+    "### CCC values"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "id": "600c5eac-4a5d-4503-84f5-1cafa9e32526",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:00.858451Z",
+     "iopub.status.busy": "2023-09-11T11:23:00.858109Z",
+     "iopub.status.idle": "2023-09-11T11:23:00.968440Z",
+     "shell.execute_reply": "2023-09-11T11:23:00.968149Z"
+    },
+    "papermill": {
+     "duration": 0.116512,
+     "end_time": "2023-09-11T11:23:00.969724",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:00.853212",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, 'Frequency')"
+      ]
+     },
+     "execution_count": 15,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.hist(cm_values, bins=10, edgecolor=\"k\")  # Adjust the number of bins as needed\n",
+    "plt.title(\"Distribution of Values\")\n",
+    "plt.xlabel(\"Value\")\n",
+    "plt.ylabel(\"Frequency\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "id": "2c0cf669-f433-467b-9ce4-8d0f206013e8",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:00.989361Z",
+     "iopub.status.busy": "2023-09-11T11:23:00.989161Z",
+     "iopub.status.idle": "2023-09-11T11:23:01.125148Z",
+     "shell.execute_reply": "2023-09-11T11:23:01.124847Z"
+    },
+    "papermill": {
+     "duration": 0.148514,
+     "end_time": "2023-09-11T11:23:01.126326",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:00.977812",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, 'Density')"
+      ]
+     },
+     "execution_count": 16,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "sns.histplot(cm_values, kde=True, color=\"blue\")\n",
+    "plt.title(\"Distribution of Values\")\n",
+    "plt.xlabel(\"Value\")\n",
+    "plt.ylabel(\"Density\")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "c7234b90-393b-426b-9d5b-85f66d928fd2",
+   "metadata": {
+    "papermill": {
+     "duration": 0.010773,
+     "end_time": "2023-09-11T11:23:01.145598",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:01.134825",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "source": [
+    "### CCC p-values"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "id": "cfdb23a4-34ce-44ca-b2c1-e728c482150b",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:01.163153Z",
+     "iopub.status.busy": "2023-09-11T11:23:01.163027Z",
+     "iopub.status.idle": "2023-09-11T11:23:01.243267Z",
+     "shell.execute_reply": "2023-09-11T11:23:01.242968Z"
+    },
+    "papermill": {
+     "duration": 0.090437,
+     "end_time": "2023-09-11T11:23:01.244438",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:01.154001",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, 'Frequency')"
+      ]
+     },
+     "execution_count": 17,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.hist(cm_pvalues, bins=10, edgecolor=\"k\")  # Adjust the number of bins as needed\n",
+    "plt.title(\"Distribution of Values\")\n",
+    "plt.xlabel(\"Value\")\n",
+    "plt.ylabel(\"Frequency\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "id": "8c990e05-0837-4733-8656-7f89e6b11c76",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:01.262888Z",
+     "iopub.status.busy": "2023-09-11T11:23:01.262642Z",
+     "iopub.status.idle": "2023-09-11T11:23:01.354029Z",
+     "shell.execute_reply": "2023-09-11T11:23:01.353733Z"
+    },
+    "papermill": {
+     "duration": 0.101723,
+     "end_time": "2023-09-11T11:23:01.355186",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:01.253463",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, 'Density')"
+      ]
+     },
+     "execution_count": 18,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "sns.histplot(cm_pvalues, kde=True, color=\"blue\")\n",
+    "plt.title(\"Distribution of Values\")\n",
+    "plt.xlabel(\"Value\")\n",
+    "plt.ylabel(\"Density\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "id": "a4ed6062-0a60-4edf-b5eb-c7351c488442",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2023-09-11T11:23:01.374134Z",
+     "iopub.status.busy": "2023-09-11T11:23:01.374037Z",
+     "iopub.status.idle": "2023-09-11T11:23:01.377533Z",
+     "shell.execute_reply": "2023-09-11T11:23:01.377267Z"
+    },
+    "papermill": {
+     "duration": 0.01405,
+     "end_time": "2023-09-11T11:23:01.378638",
+     "exception": false,
+     "start_time": "2023-09-11T11:23:01.364588",
+     "status": "completed"
+    },
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "KstestResult(statistic=0.014558572740390852, pvalue=0.24251759387629568)"
+      ]
+     },
+     "execution_count": 19,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "stats.kstest(\n",
     "    cm_pvalues,\n",
@@ -352,10 +1080,10 @@
    "id": "acaf1613-b186-4ff1-8d22-e996662c5bec",
    "metadata": {
     "papermill": {
-     "duration": 0.001231,
-     "end_time": "2023-09-06T19:42:42.916418",
+     "duration": 0.009002,
+     "end_time": "2023-09-11T11:23:01.396952",
      "exception": false,
-     "start_time": "2023-09-06T19:42:42.915187",
+     "start_time": "2023-09-11T11:23:01.387950",
      "status": "completed"
     },
     "tags": []
@@ -366,13 +1094,7 @@
  ],
  "metadata": {
   "jupytext": {
-   "cell_metadata_filter": "all,-execution,-papermill,-trusted",
-   "text_representation": {
-    "extension": ".py",
-    "format_name": "percent",
-    "format_version": "1.3",
-    "jupytext_version": "1.11.5"
-   }
+   "cell_metadata_filter": "all,-execution,-papermill,-trusted"
   },
   "kernelspec": {
    "display_name": "Python 3 (ipykernel)",
@@ -393,14 +1115,14 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 1.345692,
-   "end_time": "2023-09-06T19:42:43.133421",
+   "duration": 2.990022,
+   "end_time": "2023-09-11T11:23:01.721307",
    "environment_variables": {},
    "exception": null,
-   "input_path": "nbs/25_pvalue/01-ccc_pvalue_dist-plot.ipynb",
-   "output_path": "nbs/25_pvalue/01-ccc_pvalue_dist-plot.run.ipynb",
+   "input_path": "nbs/25_pvalue/05-ccc_pvalue_dist-plot.ipynb",
+   "output_path": "nbs/25_pvalue/05-ccc_pvalue_dist-plot.run.ipynb",
    "parameters": {},
-   "start_time": "2023-09-06T19:42:41.787729",
+   "start_time": "2023-09-11T11:22:58.731285",
    "version": "2.3.4"
   }
  },
diff --git a/nbs/25_pvalue/py/01-ccc_pvalue_dist-generate-gene_pairs.py b/nbs/25_pvalue/py/01-ccc_pvalue_dist-generate-gene_pairs.py
index 45ab6792..5a2f9a25 100644
--- a/nbs/25_pvalue/py/01-ccc_pvalue_dist-generate-gene_pairs.py
+++ b/nbs/25_pvalue/py/01-ccc_pvalue_dist-generate-gene_pairs.py
@@ -2,11 +2,11 @@
 # jupyter:
 #   jupytext:
 #     cell_metadata_filter: all,-execution,-papermill,-trusted
+#     notebook_metadata_filter: -jupytext.text_representation.jupytext_version
 #     text_representation:
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.5
 #   kernelspec:
 #     display_name: Python 3 (ipykernel)
 #     language: python
@@ -37,7 +37,7 @@
 # %% tags=[]
 rs = np.random.RandomState(0)
 
-# %%
+# %% tags=[]
 N_JOBS = conf.GENERAL["N_JOBS"] // 2
 display(N_JOBS)
 
@@ -71,33 +71,31 @@
 # %% [markdown] tags=[]
 # # Run CCC
 
-# %%
+# %% tags=[]
 def ccc_single(x, y):
-    return ccc(
-        x, y, n_jobs=1, pvalue_n_perms=PVALUE_N_PERMS, pvalue_n_jobs=PVALUE_N_JOBS
-    )
+    return ccc(x, y, pvalue_n_perms=PVALUE_N_PERMS, n_jobs=PVALUE_N_JOBS)
 
 
-# %%
+# %% tags=[]
 results = Parallel(n_jobs=N_JOBS)(
     delayed(ccc_single)(data[i], data[j])
     for i in range(data.shape[0] - 1)
     for j in range(i + 1, data.shape[0])
 )
 
-# %%
+# %% tags=[]
 assert len(results) == (DATA_N_OBJS * (DATA_N_OBJS - 1)) / 2
 
-# %%
+# %% tags=[]
 results[0]
 
-# %%
+# %% tags=[]
 cm_values = [x[0] for x in results]
 
-# %%
+# %% tags=[]
 cm_pvalues = [x[1] for x in results]
 
-# %%
+# %% tags=[]
 assert len(cm_values) == len(cm_pvalues)
 assert len(cm_values) == (DATA_N_OBJS * (DATA_N_OBJS - 1)) / 2
 
@@ -108,7 +106,7 @@ def ccc_single(x, y):
 # %% tags=[]
 cm_values.shape
 
-# %%
+# %% tags=[]
 cm_values
 
 # %% tags=[]
diff --git a/nbs/25_pvalue/py/05-ccc_pvalue_dist-plot.py b/nbs/25_pvalue/py/05-ccc_pvalue_dist-plot.py
index c1e0cf68..ecb48437 100644
--- a/nbs/25_pvalue/py/05-ccc_pvalue_dist-plot.py
+++ b/nbs/25_pvalue/py/05-ccc_pvalue_dist-plot.py
@@ -2,11 +2,11 @@
 # jupyter:
 #   jupytext:
 #     cell_metadata_filter: all,-execution,-papermill,-trusted
+#     notebook_metadata_filter: -jupytext.text_representation.jupytext_version
 #     text_representation:
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.5
 #   kernelspec:
 #     display_name: Python 3 (ipykernel)
 #     language: python
@@ -46,15 +46,18 @@
 OUTPUT_DIR
 
 # %% [markdown] tags=[]
-# # Load CCC values and pvalues
+# # From data matrix
+
+# %% [markdown] tags=[]
+# ## Load CCC values and pvalues
 
 # %% tags=[]
-output_file = OUTPUT_DIR / "cm_values.npy"
+output_file = OUTPUT_DIR / "data_matrix-cm_values.npy"
 cm_values = np.load(output_file)
 display(cm_values.shape)
 
 # %% tags=[]
-output_file = OUTPUT_DIR / "cm_pvalues.npy"
+output_file = OUTPUT_DIR / "data_matrix-cm_pvalues.npy"
 cm_pvalues = np.load(output_file)
 display(cm_pvalues.shape)
 
@@ -64,7 +67,25 @@
 display(min_pvalue_resolution)
 
 # %% [markdown] tags=[]
-# # Plots
+# ## Plots
+
+# %% [markdown] tags=[]
+# ### CCC values
+
+# %% tags=[]
+plt.hist(cm_values, bins=10, edgecolor="k")  # Adjust the number of bins as needed
+plt.title("Distribution of Values")
+plt.xlabel("Value")
+plt.ylabel("Frequency")
+
+# %% tags=[]
+sns.histplot(cm_values, kde=True, color="blue")
+plt.title("Distribution of Values")
+plt.xlabel("Value")
+plt.ylabel("Density")
+
+# %% [markdown] tags=[]
+# ### CCC p-values
 
 # %% tags=[]
 plt.hist(cm_pvalues, bins=10, edgecolor="k")  # Adjust the number of bins as needed
@@ -78,8 +99,66 @@
 plt.xlabel("Value")
 plt.ylabel("Density")
 
+# %% tags=[]
+stats.kstest(
+    cm_pvalues,
+    stats.uniform.cdf,
+    args=(min_pvalue_resolution, 1 - min_pvalue_resolution),
+)
+
+# %% [markdown] tags=[]
+# # From gene pairs
+
+# %% [markdown] tags=[]
+# ## Load CCC values and pvalues
+
+# %% tags=[]
+output_file = OUTPUT_DIR / "gene_pairs-cm_values.npy"
+cm_values = np.load(output_file)
+display(cm_values.shape)
+
+# %% tags=[]
+output_file = OUTPUT_DIR / "gene_pairs-cm_pvalues.npy"
+cm_pvalues = np.load(output_file)
+display(cm_pvalues.shape)
+
+# %% tags=[]
+n_perms = cm_pvalues.shape[0]
+min_pvalue_resolution = (0 + 1) / (n_perms + 1)
+display(min_pvalue_resolution)
+
+# %% [markdown] tags=[]
+# ## Plots
+
+# %% [markdown] tags=[]
+# ### CCC values
+
+# %% tags=[]
+plt.hist(cm_values, bins=10, edgecolor="k")  # Adjust the number of bins as needed
+plt.title("Distribution of Values")
+plt.xlabel("Value")
+plt.ylabel("Frequency")
+
+# %% tags=[]
+sns.histplot(cm_values, kde=True, color="blue")
+plt.title("Distribution of Values")
+plt.xlabel("Value")
+plt.ylabel("Density")
+
 # %% [markdown] tags=[]
-# # KS
+# ### CCC p-values
+
+# %% tags=[]
+plt.hist(cm_pvalues, bins=10, edgecolor="k")  # Adjust the number of bins as needed
+plt.title("Distribution of Values")
+plt.xlabel("Value")
+plt.ylabel("Frequency")
+
+# %% tags=[]
+sns.histplot(cm_pvalues, kde=True, color="blue")
+plt.title("Distribution of Values")
+plt.xlabel("Value")
+plt.ylabel("Density")
 
 # %% tags=[]
 stats.kstest(