HW1-Part2-DataAnalyze-EunSuSeo.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "9b9748f6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[Discounted Price]\n",
      "count    6388.000000\n",
      "mean       31.229787\n",
      "std        55.493464\n",
      "min         0.220000\n",
      "25%        10.000000\n",
      "50%        19.920000\n",
      "75%        33.230000\n",
      "max       986.390000\n",
      "Name: Discounted Price, dtype: float64\n",
      "=======\n",
      "[Original Price]\n",
      "count    6388.000000\n",
      "mean       34.021357\n",
      "std        57.005271\n",
      "min         0.220000\n",
      "25%        10.500000\n",
      "50%        22.000000\n",
      "75%        36.000000\n",
      "max       986.390000\n",
      "Name: Original Price, dtype: float64\n",
      "=======\n",
      "[Discount Rate]\n",
      "count    6400.000000\n",
      "mean        7.326311\n",
      "std        14.255586\n",
      "min         0.000000\n",
      "25%         0.000000\n",
      "50%         0.000000\n",
      "75%        10.000000\n",
      "max        75.066667\n",
      "Name: Discount Rate, dtype: float64\n",
      "=======\n",
      "[Review Counts]\n",
      "count      6400.000000\n",
      "mean       3138.832500\n",
      "std        6643.209963\n",
      "min           0.000000\n",
      "25%         120.750000\n",
      "50%         893.000000\n",
      "75%        2945.000000\n",
      "max      133428.000000\n",
      "Name: Review Counts, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import re\n",
    "\n",
    "# Read .csv file\n",
    "df = pd.read_csv('final-data.csv')\n",
    "\n",
    "# Convert object (or str) to numeric type to calculate\n",
    "df['Discounted Price'] = pd.to_numeric(df['Discounted Price'], errors='coerce')\n",
    "df['Original Price'] = pd.to_numeric(df['Original Price'], errors='coerce')\n",
    "df['Review Counts'] = pd.to_numeric(df['Review Counts'].apply(lambda x: re.sub(r'[^\\d.]', '', x)), errors='coerce')\n",
    "\n",
    "# Calculate discount rate using the discounted price and original price\n",
    "df['Discount Rate'] = (df['Original Price'] - df['Discounted Price']) / df['Original Price'] * 100\n",
    "df['Discount Rate'] = df['Discount Rate'].fillna(0)  # 결측값을 0으로 채우기\n",
    "\n",
    "# Calculate numeric statics including mean, median (= 50%), std\n",
    "print(\"[Discounted Price]\")\n",
    "print(df['Discounted Price'].describe())\n",
    "print(\"=======\")\n",
    "\n",
    "print(\"[Original Price]\")\n",
    "print(df['Original Price'].describe())\n",
    "print(\"=======\")\n",
    "\n",
    "print(\"[Discount Rate]\")\n",
    "print(df['Discount Rate'].describe())\n",
    "print(\"=======\")\n",
    "\n",
    "print(\"[Review Counts]\")\n",
    "print(df['Review Counts'].describe())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2b85a596",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Badge\n",
      "Etsy's Pick    3662\n",
      "No badge       2738\n",
      "Name: count, dtype: int64\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 600x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Count the column of 'Etsy's Pick'\n",
    "df[\"Badge\"] = df[\"Badge\"].str.strip().str.replace('\\n', '').str.replace('’', \"'\")\n",
    "badge_counts = df[\"Badge\"].value_counts()\n",
    "\n",
    "# Print a frequency table\n",
    "print(badge_counts)\n",
    "\n",
    "# Visualization of categorical variable (= Badge) using the bar graph\n",
    "plt.figure(figsize=(6, 10))\n",
    "badge_counts.plot(kind='bar', color=['blue', 'orange'])\n",
    "plt.title(\"Distribution of Etsy's Pick Badge\")\n",
    "plt.xlabel(\"Badge Status\")\n",
    "plt.ylabel(\"Frequency\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "cdfabaef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "\n",
    "# Make histogram of the Discount Rate\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.hist(df['Discount Rate'], bins=10, color='blue', alpha=0.7)\n",
    "plt.title(\"Histogram of Discount Rate\")\n",
    "plt.xlabel(\"Rate\")\n",
    "plt.ylabel(\"Frequency\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Make histogram of the Review Counts\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.hist(df['Review Counts'], bins=10, color='blue', alpha=0.7)\n",
    "plt.title(\"Histogram of Review Counts\")\n",
    "plt.xlabel(\"Counts\")\n",
    "plt.ylabel(\"Frequency\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Make the box plot of the Discount Rate\n",
    "plt.figure(figsize=(8, 6))\n",
    "sns.boxplot(x=df['Discount Rate'])\n",
    "plt.title(\"Boxplot of Discount Rate\")\n",
    "plt.show()\n",
    "\n",
    "# Make the box plot of the Review Counts\n",
    "plt.figure(figsize=(8, 6))\n",
    "sns.boxplot(x=df['Review Counts'])\n",
    "plt.title(\"Boxplot of Review Counts\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "6cbfb691",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.10971606884428392\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/seori/anaconda3/lib/python3.11/site-packages/seaborn/axisgrid.py:118: UserWarning: The figure layout has changed to tight\n",
      "  self._figure.tight_layout(*args, **kwargs)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate correlation between 'Discount Rate' and 'Review Counts'\n",
    "corr = df['Discount Rate'].corr(df['Review Counts'])\n",
    "print(corr) # Result: very little correlation\n",
    "\n",
    "predictor_var = ['Discount Rate', 'Review Counts']\n",
    "predictor_df = df[predictor_var]\n",
    "\n",
    "# Scatter Plot\n",
    "sns.set(style=\"ticks\", color_codes=True)\n",
    "scatter_plot = sns.pairplot(predictor_df)\n",
    "plt.suptitle(\"Scatter Plot of Discount Rate and Review Counts\", y=1.02)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "8eb1620c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize the correlation between the categorical variable and numeric variable\n",
    "sns.boxplot(x=df['Badge'], y=df['Review Counts'], data=df)\n",
    "plt.show()\n",
    "\n",
    "sns.boxplot(x=df['Badge'], y=df['Discount Rate'], data=df)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f4f07617",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Point-Biserial Correlation Coefficient between badge and discount rate: -0.5943970311860488\n",
      "P-value: 0.0\n",
      "\n",
      "Point-Biserial Correlation Coefficient between badge and review counts: -0.034238652504330114\n",
      "P-value: 0.006155887265821593\n"
     ]
    }
   ],
   "source": [
    "import scipy.stats\n",
    "\n",
    "# Calculate the Point-Biserial Correlation Coefficient\n",
    "corr_badge_review = scipy.stats.pointbiserialr(df['Badge'].map({'No badge': 0, \"Etsy's Pick\": 1}), df['Review Counts'])\n",
    "corr_badge_discount = scipy.stats.pointbiserialr(df['Badge'].map({'No badge': 0, \"Etsy's Pick\": 1}), df['Discount Rate'])\n",
    "\n",
    "# Correlation between the Badge and the Discount Rate\n",
    "print(f\"Point-Biserial Correlation Coefficient between badge and discount rate: {corr_badge_discount.correlation}\")\n",
    "print(f\"P-value: {corr_badge_discount.pvalue}\\n\")\n",
    "# Correlation between the Badge and the Review Counts\n",
    "print(f\"Point-Biserial Correlation Coefficient between badge and review counts: {corr_badge_review.correlation}\")\n",
    "print(f\"P-value: {corr_badge_review.pvalue}\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}