Benford's_Law.ipynb

{
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  "metadata": {
    "colab": {
      "name": "Benford's Law.ipynb",
      "version": "0.3.2",
      "provenance": [],
      "collapsed_sections": [],
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/ygeszvain/projects/blob/master/Benford's_Law.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "metadata": {
        "id": "d42TqHD3re4c",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 432
        },
        "outputId": "84b0a711-1293-4240-c975-8a539c398abd"
      },
      "cell_type": "code",
      "source": [
        "!pip install benford_py"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Collecting benford_py\n",
            "  Downloading https://files.pythonhosted.org/packages/a8/0f/9c79a4f65b930db9b88ee7e3e69e685cc94341931ebd1c0a4cce113fb8ca/benford_py-0.1.0.3.tar.gz\n",
            "Requirement already satisfied: pandas in /usr/local/lib/python3.6/dist-packages (from benford_py) (0.24.2)\n",
            "Requirement already satisfied: numpy in /usr/local/lib/python3.6/dist-packages (from benford_py) (1.16.2)\n",
            "Requirement already satisfied: matplotlib in /usr/local/lib/python3.6/dist-packages (from benford_py) (3.0.3)\n",
            "Requirement already satisfied: pytz>=2011k in /usr/local/lib/python3.6/dist-packages (from pandas->benford_py) (2018.9)\n",
            "Requirement already satisfied: python-dateutil>=2.5.0 in /usr/local/lib/python3.6/dist-packages (from pandas->benford_py) (2.5.3)\n",
            "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /usr/local/lib/python3.6/dist-packages (from matplotlib->benford_py) (2.4.0)\n",
            "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.6/dist-packages (from matplotlib->benford_py) (1.0.1)\n",
            "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.6/dist-packages (from matplotlib->benford_py) (0.10.0)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.6/dist-packages (from python-dateutil>=2.5.0->pandas->benford_py) (1.11.0)\n",
            "Requirement already satisfied: setuptools in /usr/local/lib/python3.6/dist-packages (from kiwisolver>=1.0.1->matplotlib->benford_py) (40.9.0)\n",
            "Building wheels for collected packages: benford-py\n",
            "  Building wheel for benford-py (setup.py) ... \u001b[?25ldone\n",
            "\u001b[?25h  Stored in directory: /root/.cache/pip/wheels/5e/1b/b3/0c05165f21c43fbbb5362d3e4361eb034aed5cf61d89e17097\n",
            "Successfully built benford-py\n",
            "Installing collected packages: benford-py\n",
            "Successfully installed benford-py-0.1.0.3\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {
        "id": "ajzftl3VtkqH",
        "colab_type": "code",
        "colab": {}
      },
      "cell_type": "code",
      "source": [
        "%matplotlib inline\n",
        "\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "import benford as bf"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "metadata": {
        "id": "V-B-z0bBwBfX",
        "colab_type": "code",
        "colab": {}
      },
      "cell_type": "code",
      "source": [
        "Cov = pd.read_csv(\"test2.csv\", sep=',', \n",
        "                  names = [\"Date\", \"TCODE\", \"REF\", \"CNUM\",\"Salesman\",\"Price\",\"Cost\"])"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "metadata": {
        "id": "3ELmxGa3uoe6",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 204
        },
        "outputId": "5379e84a-47b1-4bec-c5f5-79916eb3f67f"
      },
      "cell_type": "code",
      "source": [
        "Cov.head()"
      ],
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Date</th>\n",
              "      <th>TCODE</th>\n",
              "      <th>REF</th>\n",
              "      <th>CNUM</th>\n",
              "      <th>Salesman</th>\n",
              "      <th>Price</th>\n",
              "      <th>Cost</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>1/1/17</td>\n",
              "      <td>IN</td>\n",
              "      <td>51071</td>\n",
              "      <td>103172</td>\n",
              "      <td>Jesse Jensen</td>\n",
              "      <td>189.79</td>\n",
              "      <td>226.32</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>1/1/17</td>\n",
              "      <td>IN</td>\n",
              "      <td>51219</td>\n",
              "      <td>110001</td>\n",
              "      <td>Not Assigned</td>\n",
              "      <td>17.60</td>\n",
              "      <td>26.36</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>1/1/17</td>\n",
              "      <td>IN</td>\n",
              "      <td>51220</td>\n",
              "      <td>101837</td>\n",
              "      <td>Corey Schweitzer</td>\n",
              "      <td>20.69</td>\n",
              "      <td>26.52</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>1/1/17</td>\n",
              "      <td>IN</td>\n",
              "      <td>51221</td>\n",
              "      <td>109526</td>\n",
              "      <td>Jesse Jensen</td>\n",
              "      <td>57.54</td>\n",
              "      <td>65.18</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>1/1/17</td>\n",
              "      <td>IN</td>\n",
              "      <td>51222</td>\n",
              "      <td>110001</td>\n",
              "      <td>Not Assigned</td>\n",
              "      <td>13.20</td>\n",
              "      <td>19.77</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "     Date TCODE    REF    CNUM          Salesman   Price    Cost\n",
              "0  1/1/17    IN  51071  103172      Jesse Jensen  189.79  226.32\n",
              "1  1/1/17    IN  51219  110001      Not Assigned   17.60   26.36\n",
              "2  1/1/17    IN  51220  101837  Corey Schweitzer   20.69   26.52\n",
              "3  1/1/17    IN  51221  109526      Jesse Jensen   57.54   65.18\n",
              "4  1/1/17    IN  51222  110001      Not Assigned   13.20   19.77"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 22
        }
      ]
    },
    {
      "metadata": {
        "id": "YAPohcV2xI2B",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 643
        },
        "outputId": "e5895f13-3894-41fd-bcde-5c95ed09edb6"
      },
      "cell_type": "code",
      "source": [
        "f1d = bf.first_digits(Cov.Price, digs=1, decimals=2) #1 digits"
      ],
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Initialized sequence with 80390 registries.\n",
            "\n",
            "Test performed on 80390 registries.\n",
            "Discarded 0 records < 1 after preparation.\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
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8+QD84Y9/5GMf/zj3/PGPJ7WvX//qV7zqla/kwx/6UJO2TymRUjrpkw+bw5FqSZIktYuD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\n",
            "text/plain": [
              "<Figure size 864x648 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "iQ16S7CUxTjl",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1010
        },
        "outputId": "97b86a30-756b-41f0-980b-e6c95c9c0988"
      },
      "cell_type": "code",
      "source": [
        "f2d = bf.first_digits(Cov.Price, digs=2, decimals=2) # digs=2"
      ],
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Initialized sequence with 80390 registries.\n",
            "\n",
            "Test performed on 80390 registries.\n",
            "Discarded 9 records < 10 after preparation.\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/benford/benford.py:300: SettingWithCopyWarning: \n",
            "A value is trying to be set on a copy of a slice from a DataFrame.\n",
            "Try using .loc[row_indexer,col_indexer] = value instead\n",
            "\n",
            "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
            "  int)\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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d2iFJkiRJqjGGE3XAFTskSZIkSbXMcKIOjBjXwqipkwDY7oodkiRJkqQaYzhR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Vcr/HEWjy03GrmPR79XGxX+w2zmVBxbktnccycr/HEY536l4thy/zLaOyXR3sdVHFsmS/qyOLYk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\nAEClmJwAAAAAAACV+v/h4PiO16Xl7gAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 1296x972 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    }
  ]
}