Impact_Measurement.ipynb

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            "text/plain": [
              "   user_id  exposed  clicks_before  clicks_after  conversions_before  \\\n",
              "0        1        0              0             0                   0   \n",
              "1        2        1              2             5                   0   \n",
              "2        3        1              2             4                   0   \n",
              "3        4        1              1             3                   0   \n",
              "4        5        0              1             2                   0   \n",
              "\n",
              "   conversions_after  \n",
              "0                  0  \n",
              "1                  1  \n",
              "2                  2  \n",
              "3                  1  \n",
              "4                  0  "
            ]
          },
          "execution_count": 4,
          "metadata": {},
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      ],
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "\n",
        "# Simulating  user data\n",
        "np.random.seed(42)\n",
        "n_users = 1000\n",
        "user_ids = np.arange(1, n_users + 1)\n",
        "\n",
        "\n",
        "\n",
        "# Simulating  campaign exposure using Binominal distribution\n",
        "exposed = np.random.binomial(1, 0.5, n_users)\n",
        "\n",
        "# Simulate engagement metrics\n",
        "\n",
        "clicks_before = np.random.poisson(1, n_users)\n",
        "\n",
        "clicks_after = clicks_before + exposed + np.random.poisson(1, n_users)\n",
        "\n",
        "conversions_before = np.random.binomial(1, 0.1, n_users)\n",
        "\n",
        "conversions_after = conversions_before + exposed + np.random.binomial(1, 0.1, n_users)\n",
        "\n",
        "# Create DataFrame\n",
        "data = pd.DataFrame({\n",
        "    'user_id': user_ids,\n",
        "    'exposed': exposed,\n",
        "    'clicks_before': clicks_before,\n",
        "    'clicks_after': clicks_after,\n",
        "    'conversions_before': conversions_before,\n",
        "    'conversions_after': conversions_after\n",
        "})\n",
        "\n",
        "data.head()\n"
      ]
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        {
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Clicks Before')"
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\n",
            "text/plain": [
              "<Figure size 1200x800 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# let's plot how above disrtubtions looks\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns\n",
        "\n",
        "# Plotting the distributions\n",
        "plt.figure(figsize=(12, 8))\n",
        "\n",
        "# Clicks Before\n",
        "plt.subplot(2, 2, 1)\n",
        "sns.histplot(data['clicks_before'], kde=True)\n",
        "plt.title('Clicks Before')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 380
        },
        "id": "_GN5hEnqlnlc",
        "outputId": "04fe9178-71e2-4ce2-ac5f-e6addf0fdee5"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Clicks After')"
            ]
          },
          "execution_count": 6,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1200x800 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "#clicks after\n",
        "plt.figure(figsize=(12, 8))\n",
        "plt.subplot(2, 2, 2)\n",
        "sns.histplot(clicks_after, kde=True)\n",
        "plt.title('Clicks After')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 399
        },
        "id": "DqrZY8ReE1MU",
        "outputId": "99a850df-d2ee-4db9-a6e4-09ae83f296ed"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Conversions Before')"
            ]
          },
          "execution_count": 7,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1200x800 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.figure(figsize=(12, 8))\n",
        "\n",
        "# Conversions before\n",
        "plt.subplot(2, 2, 1)\n",
        "sns.histplot(data['conversions_before'], kde=True)\n",
        "plt.title('Conversions Before')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 399
        },
        "id": "ncgn5ZrXE1Pq",
        "outputId": "d8e513cb-31ee-4bc7-af22-5b888caece83"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Conversions After')"
            ]
          },
          "execution_count": 8,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1200x800 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.figure(figsize=(12, 8))\n",
        "\n",
        "# Conversions After\n",
        "plt.subplot(2, 2, 1)\n",
        "sns.histplot(data['conversions_after'], kde=True)\n",
        "plt.title('Conversions After')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "WR1dKSBTuYNg",
        "outputId": "efe33093-4e91-47a4-a1dc-fd4c97bcb1ce"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "(1000, 6)"
            ]
          },
          "execution_count": 9,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "data.shape"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 507
        },
        "id": "h9hTKIOPF22Q",
        "outputId": "8b370522-26dd-4d8f-e6c5-c48e786f48d0"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 700x500 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns\n",
        "\n",
        "# Plot the number of conversions before and after the campaign for treatment and control groups\n",
        "plt.figure(figsize=(7, 5))\n",
        "\n",
        "plt.subplot(1, 2, 1)\n",
        "sns.barplot(x='exposed', y='conversions_before', data=data, errorbar=None)\n",
        "plt.title('Conversions Before Campaign')\n",
        "plt.xlabel('Exposed (0=Control, 1=Treatment)')\n",
        "plt.ylabel('Conversions Before')\n",
        "\n",
        "plt.subplot(1, 2, 2)\n",
        "sns.barplot(x='exposed', y='conversions_after', data=data, errorbar=None)\n",
        "plt.title('Conversions After Campaign')\n",
        "plt.xlabel('Exposed (0=Control, 1=Treatment)')\n",
        "plt.ylabel('Conversions After')\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EZmD1Ez3u1Q8"
      },
      "source": [
        "# **Data Preprocessing and EDA**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "6dydo1hmuepY"
      },
      "outputs": [],
      "source": [
        "# Calculate differences\n",
        "data['clicks_diff'] = data['clicks_after'] - data['clicks_before']\n",
        "data['conversions_diff'] = data['conversions_after'] - data['conversions_before']\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 449
        },
        "id": "48JCrPYRvWh9",
        "outputId": "5558d7ff-823c-478d-a1f4-593cc53bc30c"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Let's see how many users has exposed to the Marketing Campaign\n",
        "\n",
        "sns.countplot(x='exposed', data=data)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 449
        },
        "id": "emoGN1MeD9hB",
        "outputId": "e14a6e74-ea99-4bc1-9fad-399c3a45ed87"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Identify the difference between exposed for clicks before\n",
        "\n",
        "sns.boxplot(x='exposed', y='clicks_before', data=data)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 449
        },
        "id": "_ljKKJOU_MH6",
        "outputId": "2c1f1e5c-d3fc-4f51-fedf-4ab8888b57a5"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Identify the difference between exposed conversion rate and not exposed conversion rate\n",
        "\n",
        "sns.boxplot(x='exposed', y='clicks_after', data=data)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lxZgGa6nHY0Y"
      },
      "source": [
        "**The mean of two groups is very close, let's perform test to see if these two group are statistically significant**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "vrVTNccj_MKh",
        "outputId": "2109d30e-0b11-4bf9-aa9c-ac588db8a60c"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "T-statistic: 10.417919035094942, P-value: 3.3921375693433e-24\n"
          ]
        }
      ],
      "source": [
        "from scipy import stats\n",
        "\n",
        "# Perform two-sample t-test on clicks_after for treatment and control groups\n",
        "t_stat, p_val = stats.ttest_ind(data[data['exposed'] == 1]['clicks_after'], data[data['exposed'] == 0]['clicks_after'])\n",
        "\n",
        "print(f\"T-statistic: {t_stat}, P-value: {p_val}\")\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "lHTC9rtB_MMv",
        "outputId": "7d565416-8d39-453c-8707-c13be0883aef"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "(10.417919035094942, 3.3921375693433e-24)"
            ]
          },
          "execution_count": 18,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "t_stat, p_val"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "YTDmMonv_MSc",
        "outputId": "faa35e0e-b85f-4ae3-9c49-0113698388de"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "T-statistic: 15.833862527754906, P-value: 1.5163391122126406e-50\n"
          ]
        }
      ],
      "source": [
        "# Calculate the change in clicks\n",
        "data['clicks_change'] = data['clicks_after'] - data['clicks_before']\n",
        "\n",
        "# Perform two-sample t-test on clicks_change for treatment and control groups\n",
        "t_stat_2, p_val_2 = stats.ttest_ind(data[data['exposed'] == 1]['clicks_change'], data[data['exposed'] == 0]['clicks_change'])\n",
        "\n",
        "print(f\"T-statistic: {t_stat_2}, P-value: {p_val_2}\")\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ArgK55YREmVZ"
      },
      "source": [
        "**We have an evidence to say that the effect is not by chance. There is a significant improvement in the number of clicks after the Campaign. But, how do we support this, afterall we've generated our own data.**\n",
        "\n",
        "\n",
        "**Hang tight, we are diving into some of the key concepts shortly.**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "cfWyDjvjs-02"
      },
      "outputs": [],
      "source": []
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "WftY1U7T_MUz"
      },
      "outputs": [],
      "source": []
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "er64zX-n_MVt"
      },
      "outputs": [],
      "source": []
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "rj_Sc_ez_MX2"
      },
      "outputs": [],
      "source": []
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "z0i1XqK9_Maa"
      },
      "outputs": [],
      "source": []
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "PscUjLLfvWkH"
      },
      "outputs": [],
      "source": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TbpCVw8LvWzB"
      },
      "source": [
        "**Propensity Score Matching (PSM)**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "V7AiP27XvfM_"
      },
      "outputs": [],
      "source": [
        "from sklearn.linear_model import LogisticRegression\n",
        "from sklearn.neighbors import NearestNeighbors\n",
        "\n",
        "# Fit logistic regression for propensity score\n",
        "logit = LogisticRegression()\n",
        "logit.fit(data[['clicks_before', 'conversions_before']], data['exposed'])\n",
        "data['propensity_score'] = logit.predict_proba(data[['clicks_before', 'conversions_before']])[:, 1]\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "x8emrE-Yw4Vw"
      },
      "outputs": [],
      "source": [
        "# Split data into treatment and control groups\n",
        "treatment = data[data['exposed'] == 1]\n",
        "control = data[data['exposed'] == 0]"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "XlpNGsATvHlJ",
        "outputId": "c9de4350-e351-4e7e-d66b-100bac156a23"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns\n",
        "\n",
        "# Visualize engagement metrics\n",
        "sns.histplot(treatment['clicks_diff'], kde=True, color='blue', label='Treatment')\n",
        "sns.histplot(control['clicks_diff'], kde=True, color='red', label='Control')\n",
        "plt.legend()\n",
        "plt.title('Distribution of Click Differences')\n",
        "plt.show()\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "mYkvO_dmwBtK",
        "outputId": "18d60020-be3b-4344-e855-3ea691d094a0"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "   user_id  exposed  clicks_before  clicks_after  conversions_before  \\\n",
            "1        2        1              2             5                   0   \n",
            "2        3        1              2             4                   0   \n",
            "3        4        1              1             3                   0   \n",
            "7        8        1              2             4                   1   \n",
            "8        9        1              1             2                   0   \n",
            "\n",
            "   conversions_after  clicks_diff  conversions_diff  clicks_change  \\\n",
            "1                  1            3                 1              3   \n",
            "2                  2            2                 2              2   \n",
            "3                  1            2                 1              2   \n",
            "7                  2            2                 1              2   \n",
            "8                  1            1                 1              1   \n",
            "\n",
            "   propensity_score  \n",
            "1          0.479840  \n",
            "2          0.479840  \n",
            "3          0.497724  \n",
            "7          0.478807  \n",
            "8          0.497724  \n"
          ]
        }
      ],
      "source": [
        "\n",
        "# Match treatment and control users\n",
        "nn = NearestNeighbors(n_neighbors=1)\n",
        "nn.fit(control[['propensity_score']])\n",
        "distances, indices = nn.kneighbors(treatment[['propensity_score']])\n",
        "matched_control = control.iloc[indices.flatten()]\n",
        "\n",
        "# Combine matched data\n",
        "matched_data = pd.concat([treatment, matched_control])\n",
        "print(matched_data.head())"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 658
        },
        "id": "zXZ-ya-JjN4f",
        "outputId": "f3a900db-5218-4760-9554-78c73d97597e"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7a8e63c4eec0>"
            ]
          },
          "execution_count": 24,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1400x700 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Plotting\n",
        "plt.figure(figsize=(14, 7))\n",
        "\n",
        "# Plot propensity scores before matching\n",
        "plt.subplot(1, 2, 1)\n",
        "sns.histplot(treatment['propensity_score'], color='blue', label='Treatment', kde=True, alpha=0.6)\n",
        "sns.histplot(control['propensity_score'], color='red', label='Control', kde=True, alpha=0.6)\n",
        "plt.title('Propensity Scores Before Matching')\n",
        "plt.xlabel('Propensity Score')\n",
        "plt.ylabel('Density')\n",
        "plt.legend()\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 487
        },
        "id": "f5g6BhKIjzxX",
        "outputId": "5c47eef9-f903-49ac-841f-56b1e73dbaf8"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "\n",
        "# Plot propensity scores after matching\n",
        "plt.subplot(1, 2, 2)\n",
        "sns.histplot(matched_data[matched_data['exposed'] == 1]['propensity_score'], color='blue', label='Treatment', kde=True, alpha=0.6)\n",
        "sns.histplot(matched_data[matched_data['exposed'] == 0]['propensity_score'], color='red', label='Control', kde=True, alpha=0.6)\n",
        "plt.title('Propensity Scores After Matching')\n",
        "plt.xlabel('Propensity Score')\n",
        "plt.ylabel('Density')\n",
        "plt.legend()\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-z1VyKz-xKg8"
      },
      "source": [
        "# **Difference-in-Differences (DiD) Analysis**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "i9BZcBeGvhdf",
        "outputId": "af54bb08-f70c-4ebe-d5c9-fdf59cfaf970"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "DiD Estimate for Clicks: 1.1126760563380282\n",
            "DiD Estimate for Conversions: 0.9396378269617707\n"
          ]
        }
      ],
      "source": [
        "# Calculate DiD\n",
        "did_clicks = (treatment['clicks_diff'].mean() - matched_control['clicks_diff'].mean())\n",
        "did_conversions = (treatment['conversions_diff'].mean() - matched_control['conversions_diff'].mean())\n",
        "\n",
        "print(f'DiD Estimate for Clicks: {did_clicks}')\n",
        "print(f'DiD Estimate for Conversions: {did_conversions}')\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TABOa3MPxJQY"
      },
      "source": []
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "owpkYS4jxdc3"
      },
      "outputs": [],
      "source": []
    }
  ],
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}