Vgc_sales.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "6ded387a-422e-414d-ae2c-6be5cb369212",
   "metadata": {},
   "source": [
    "# Video Games Sale Data Analysis\n",
    "\n",
    "A simplistic execution of EDA (Exploratory Data Analysis), to answer 7 questions, and perform a poisson distribution to model the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "3e9ef838-1cfc-4341-881f-44829446322c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "fecd1b5e-7300-4678-89a5-3f44e3f424ad",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Calling the CSV\n",
    "df = pd.read_csv(r'B:\\Python Environments\\Video Game Data Analysis\\Raw Data\\vgsales.csv')\n",
    "#r'' because I just want to copy/paste the path without changing all the \\ to / or to \\\\"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "57ba70a0-2523-44fe-b205-f7e2376d27c7",
   "metadata": {},
   "source": [
    "## Cleaning the Dataset\n",
    "Dropping N/A and nulls."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "c4d63262-432f-4ad4-a549-c77877717417",
   "metadata": {},
   "outputs": [],
   "source": [
    "df.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d913c142-fabc-4a5f-9776-caf078270c68",
   "metadata": {},
   "source": [
    "## Exploring the CSV's features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "ff8513b8-1d26-4495-800d-c4a82bf1567a",
   "metadata": {},
   "outputs": [
    {
     "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>Rank</th>\n",
       "      <th>Name</th>\n",
       "      <th>Platform</th>\n",
       "      <th>Year</th>\n",
       "      <th>Genre</th>\n",
       "      <th>Publisher</th>\n",
       "      <th>NA_Sales</th>\n",
       "      <th>EU_Sales</th>\n",
       "      <th>JP_Sales</th>\n",
       "      <th>Other_Sales</th>\n",
       "      <th>Global_Sales</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Wii Sports</td>\n",
       "      <td>Wii</td>\n",
       "      <td>2006.0</td>\n",
       "      <td>Sports</td>\n",
       "      <td>Nintendo</td>\n",
       "      <td>41.49</td>\n",
       "      <td>29.02</td>\n",
       "      <td>3.77</td>\n",
       "      <td>8.46</td>\n",
       "      <td>82.74</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Super Mario Bros.</td>\n",
       "      <td>NES</td>\n",
       "      <td>1985.0</td>\n",
       "      <td>Platform</td>\n",
       "      <td>Nintendo</td>\n",
       "      <td>29.08</td>\n",
       "      <td>3.58</td>\n",
       "      <td>6.81</td>\n",
       "      <td>0.77</td>\n",
       "      <td>40.24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Mario Kart Wii</td>\n",
       "      <td>Wii</td>\n",
       "      <td>2008.0</td>\n",
       "      <td>Racing</td>\n",
       "      <td>Nintendo</td>\n",
       "      <td>15.85</td>\n",
       "      <td>12.88</td>\n",
       "      <td>3.79</td>\n",
       "      <td>3.31</td>\n",
       "      <td>35.82</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Wii Sports Resort</td>\n",
       "      <td>Wii</td>\n",
       "      <td>2009.0</td>\n",
       "      <td>Sports</td>\n",
       "      <td>Nintendo</td>\n",
       "      <td>15.75</td>\n",
       "      <td>11.01</td>\n",
       "      <td>3.28</td>\n",
       "      <td>2.96</td>\n",
       "      <td>33.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Pokemon Red/Pokemon Blue</td>\n",
       "      <td>GB</td>\n",
       "      <td>1996.0</td>\n",
       "      <td>Role-Playing</td>\n",
       "      <td>Nintendo</td>\n",
       "      <td>11.27</td>\n",
       "      <td>8.89</td>\n",
       "      <td>10.22</td>\n",
       "      <td>1.00</td>\n",
       "      <td>31.37</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Rank                      Name Platform    Year         Genre Publisher  \\\n",
       "0     1                Wii Sports      Wii  2006.0        Sports  Nintendo   \n",
       "1     2         Super Mario Bros.      NES  1985.0      Platform  Nintendo   \n",
       "2     3            Mario Kart Wii      Wii  2008.0        Racing  Nintendo   \n",
       "3     4         Wii Sports Resort      Wii  2009.0        Sports  Nintendo   \n",
       "4     5  Pokemon Red/Pokemon Blue       GB  1996.0  Role-Playing  Nintendo   \n",
       "\n",
       "   NA_Sales  EU_Sales  JP_Sales  Other_Sales  Global_Sales  \n",
       "0     41.49     29.02      3.77         8.46         82.74  \n",
       "1     29.08      3.58      6.81         0.77         40.24  \n",
       "2     15.85     12.88      3.79         3.31         35.82  \n",
       "3     15.75     11.01      3.28         2.96         33.00  \n",
       "4     11.27      8.89     10.22         1.00         31.37  "
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0427d042-506b-4872-9d8a-188f63acda30",
   "metadata": {},
   "source": [
    "# Question 1: Top-selling Video Games"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "b8e5109c-79ed-4a5c-accb-ef494c597130",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Name\n",
      "Wii Sports                        82.74\n",
      "Grand Theft Auto V                55.92\n",
      "Super Mario Bros.                 45.31\n",
      "Tetris                            35.84\n",
      "Mario Kart Wii                    35.82\n",
      "Wii Sports Resort                 33.00\n",
      "Pokemon Red/Pokemon Blue          31.37\n",
      "Call of Duty: Modern Warfare 3    30.83\n",
      "New Super Mario Bros.             30.01\n",
      "Call of Duty: Black Ops II        29.72\n",
      "Call of Duty: Black Ops           29.40\n",
      "Wii Play                          29.02\n",
      "New Super Mario Bros. Wii         28.62\n",
      "Duck Hunt                         28.31\n",
      "Call of Duty: Ghosts              27.38\n",
      "Name: Global_Sales, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "# Group by name and sum of global sales\n",
    "top_selling = df.groupby('Name')['Global_Sales'].sum()\n",
    "\n",
    "# Sort by global sales\n",
    "top_selling = top_selling.sort_values(ascending=False)\n",
    "\n",
    "# Displaying the top 15 games\n",
    "print(top_selling.head(15))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1ba9cfd6-52e8-4fa8-9b61-61076ff9fca4",
   "metadata": {},
   "source": [
    "Most selling games is Wii Sports with 82.74m global sales, followed by Grand Theft Auto V with 55.92m global sales, followed by the old classic Super Mario Bros. with 45.31m global sales."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "75efd05c-a27d-4c2e-89db-238d2d88469f",
   "metadata": {},
   "source": [
    "# Question 2: Which Platform was more popular"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "29b66106-80b8-4838-aa63-2f446fb88076",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Platform\n",
      "PS2     1233.46\n",
      "X360     969.60\n",
      "PS3      949.35\n",
      "Wii      909.81\n",
      "DS       818.91\n",
      "PS       727.39\n",
      "GBA      305.62\n",
      "PSP      291.71\n",
      "PS4      278.10\n",
      "PC       254.70\n",
      "Name: Global_Sales, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "\n",
    "# Group by platform and sum of global sales\n",
    "top_platform = df.groupby('Platform')['Global_Sales'].sum()\n",
    "\n",
    "# Sort by platform sales\n",
    "top_platform = top_platform.sort_values(ascending=False)\n",
    "\n",
    "# Displaying the top 10 platforms\n",
    "print(top_platform.head(10))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ab5ec47-4570-47a3-8c45-50d1d3e280b8",
   "metadata": {},
   "source": [
    "Based on global sales, the most popular platform of all time is Playstation 2 with 1233.46m games being sold."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8de2e668-fade-45e9-a173-858cd779dbce",
   "metadata": {},
   "source": [
    "# Question 3: Genre Popularity #"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "0f6e9959-aede-479d-b610-8f9f0174a6f7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Genre\n",
      "Action          1722.84\n",
      "Sports          1309.24\n",
      "Shooter         1026.20\n",
      "Role-Playing     923.83\n",
      "Platform         829.13\n",
      "Misc             789.87\n",
      "Racing           726.76\n",
      "Fighting         444.05\n",
      "Simulation       389.98\n",
      "Puzzle           242.21\n",
      "Name: Global_Sales, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "\n",
    "\n",
    "# Group by genre and sum of global sales\n",
    "top_genre = df.groupby('Genre')['Global_Sales'].sum()\n",
    "\n",
    "# Sort by genre sales\n",
    "top_genre = top_genre.sort_values(ascending=False)\n",
    "\n",
    "# Displaying the top 10 genres\n",
    "print(top_genre.head(10))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae6f5346-1ad5-4d8c-bd44-95702a1e16b7",
   "metadata": {},
   "source": [
    "# Question 4: Sales by Region"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "c90f2956-8dad-43f1-82af-96f486c5ffe6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<function matplotlib.pyplot.show(close=None, block=None)>"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "region_sales = df[['NA_Sales','EU_Sales','JP_Sales','Other_Sales']].sum()\n",
    "\n",
    "# Creating the bar graph\n",
    "region_sales.plot(kind='bar')\n",
    "plt.title('VGS By Region')\n",
    "plt.xlabel('Region')\n",
    "plt.ylabel('Sales (in Mil.)')\n",
    "plt.show"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "936d4666-d82a-4e5f-8ea0-5418cb74e143",
   "metadata": {},
   "source": [
    "# Question 5, Hypothesis 1: Relationship between year of release and global sales"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "f4fc1918-2aaf-4dad-9b12-d7e6cb23ec05",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Creating the Scatterplot\n",
    "plt.scatter(df['Year'],df['Global_Sales'])\n",
    "plt.title('Year of Release vs. Global Sales')\n",
    "plt.xlabel('YoR')\n",
    "plt.ylabel('Global Sales (in Mil.)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e5d042b-fc47-420a-8e12-f70b73e7e829",
   "metadata": {},
   "source": [
    "Clearly, there is no positive correlation between the year of release a game released against how it sold. If there was, we should be able to see for a specific year, density of points towards the higher scales of the Global Sales (the Y axis.)\n",
    "\n",
    "Therefore, Hypothesis 1 is rejected."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f75e2fc0-46a1-4956-9dd8-c9ca42c71fc8",
   "metadata": {},
   "source": [
    "# Question 6, Hypothesis 2: Relationship between publisher and global sales"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "2226a5c5-0c99-4c7e-97df-6f2e725ea2b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Creating the Scatterplot\n",
    "plt.scatter(df['Publisher'],df['Global_Sales'])\n",
    "plt.title('Publisher vs. Global Sales')\n",
    "plt.xlabel('Publisher')\n",
    "plt.ylabel('Global Sales (in Mil.)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "221a62de-f44d-417c-8b3a-9554ed4cbba5",
   "metadata": {},
   "source": [
    "Whoops! It seems we need to do an extra step for this one. Let's try to group them by sales and then sort them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "e7afe2ab-5255-494a-8bd7-96bd423200b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Grouping by the sum of sales\n",
    "publisher_vs = df.groupby('Publisher')['Global_Sales'].sum()\n",
    "\n",
    "# Sorting by highest selling publisher\n",
    "publisher_vs = publisher_vs.sort_values(ascending=False)\n",
    "\n",
    "# Creating the bar plot\n",
    "publisher_vs.head(15).plot(kind='bar')\n",
    "plt.title('Publisher vs. Global Sales')\n",
    "plt.xlabel('Publisher')\n",
    "plt.ylabel('Global Sales (in Mil.)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4f87d9ce-a2ea-4449-9171-d5ccf01325ca",
   "metadata": {},
   "source": [
    "In the graph above, we immediately observe that Nintendo and EA has had most sales of all times in video games sales. \n",
    "\n",
    "We could go as far to state that since the dataset supports that Nintendo did not achieve those numbers by an irregularity/outlier (i.e one good selling game), but through consistent successful entries, there is definitely something to be learnt from that company."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "713b16f0-513e-4c3c-ac07-115202929677",
   "metadata": {},
   "source": [
    "# Question 7: Would a Poisson distribution be appropriate to model the sales data?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "86a6caab-e219-4122-8c88-c7b342f48fc1",
   "metadata": {},
   "source": [
    "## First Calculations"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7420a9fe-f68a-4c1f-8ae8-955b233c5f35",
   "metadata": {},
   "source": [
    "### Mean and variance calculation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "898949b5-792b-41ea-b6bc-afa5eafefd56",
   "metadata": {},
   "outputs": [],
   "source": [
    "mean = df['Global_Sales'].mean()\n",
    "var = df['Global_Sales'].var()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "22ad0673-b817-4b46-8edf-8b1fc6ccf2c6",
   "metadata": {},
   "source": [
    "### Expected mean and variance calculation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "d7e686f8-6e74-440e-934e-b8380affcc39",
   "metadata": {},
   "outputs": [],
   "source": [
    "exp_mean = mean\n",
    "exp_var = var"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd0017c3-3892-4a62-9b58-e30ec409c2a2",
   "metadata": {},
   "source": [
    "### Showing and comparing the mean & the variance vs. the expected values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "2c5306d3-ac2d-444c-b2b1-52264facd487",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean sales 0.5409103185808114\n",
      "Variance of sales 2.456568802945086\n",
      "Expected mean 0.5409103185808114\n",
      "Expected variance 2.456568802945086\n"
     ]
    }
   ],
   "source": [
    "print('Mean sales', mean)\n",
    "print('Variance of sales', var)\n",
    "print('Expected mean', exp_mean)\n",
    "print('Expected variance', exp_var)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a81c6d4-979a-4860-9119-614e3ea481db",
   "metadata": {},
   "source": [
    "To evaluate that a Poisson distribution can be applied for the model, we need a goodness-of-fit test. That is done by calculating the mean and variance, as we have done above on steps *8.1.1.* and *8.1.2.* and by comparing the observed values to the expected values.\n",
    "\n",
    "If the mean and var have approx. similar values or are equal, then the distribution can be applied. Also for each category, if the mean and var. vs the expected mean and var. have a closer range, then it definitely fits.\n",
    "\n",
    "In this case, there is a quite substantial difference between mean and var. without even comparing the expected mean and var. Regardless, we will still attempt to fit the Poisson Distribution to the data and see how well it fits."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4ba139a-60a7-4f93-8b86-028ebbbfe88c",
   "metadata": {},
   "source": [
    "## Second Calculations"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b4d02463-06da-4418-9b0d-25b1d7ea69b8",
   "metadata": {},
   "source": [
    "### Poisson Distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "300ef542-b593-469b-9579-930f28dbbe85",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Probability')"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def poisson_prob(k, lam):\n",
    "    return (lam**k)*math.exp(-lam)/math.gamma(k+1)\n",
    "\n",
    "mean = np.mean(df['Global_Sales'])\n",
    "\n",
    "# Generating a histogram of the sales\n",
    "n, bins, patches = plt.hist(df['Global_Sales'], bins=50, density=True, alpha=0.5)\n",
    "\n",
    "# Calculating the distribution\n",
    "poisson_dist = [poisson_prob(b,mean) for b in bins]\n",
    "\n",
    "# Plotting the distribution over the histogram\n",
    "plt.plot(bins, poisson_dist, 'r-', linewidth = 1)\n",
    "\n",
    "# Labelling the plot\n",
    "plt.title('Poisson Distribution of Global Sales')\n",
    "plt.xlabel('Global Sales (in Mil.)')\n",
    "plt.ylabel('Probability')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b590f86b-d1a0-4ba1-bef6-4e296e29795b",
   "metadata": {},
   "source": [
    "In the histogram above, the red line acts as the depiction of the distribution. To be more exact, the red line represents the Poisson probability mass function (PMF).\n",
    "\n",
    "The PMF is a function over a sample of a discrete value X which annotates the probability of value X that is equals to a certain value (f(x) = P[X=x]).\n",
    "\n",
    "As we had already seen on the goodness-for-fit test, the distribution does not work well, as it is clear that the PMF overestimates the frequency of low sales and underestimates that of the high volume of sales. That concludes that Poisson is indeed not a good fit for this dataset.\n",
    "\n",
    "! Note: That does not necessarily mean that this data set does not follow *any* probability distribution, just that it does not follow *specifically* a Poisson distribution."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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