{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a649aad3",
   "metadata": {},
   "source": [
    "# Model Client Report\n",
    "\n",
    "## Heart attack hospital admissions:<br> Case characteristics and their relationship to dollar cost per case\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "554bd33b",
   "metadata": {},
   "source": [
    "### Set up Python libraries\n",
    "Necessary for the code below to run - run but do not modify this cell"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "id": "6e215164",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set-up Python libraries - you need to run this but you don't need to change it\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.stats as stats\n",
    "import pandas \n",
    "import seaborn as sns\n",
    "sns.set_theme()\n",
    "sns.set_style('whitegrid')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "114eeecc",
   "metadata": {},
   "source": [
    "## Data Source\n",
    "\n",
    "The report examines a sample of 12,843 patients admitted to hospital in New York City with a heart attack.\n",
    "\n",
    "The data were collected via the Medicare system were downloaded from <a href=\"https://dasl.datadescription.com/\">DASL</a>.\n",
    "\n",
    "The variables recorded were:\n",
    "<ul>\n",
    "<li>CHARGES (dollar cost of stay)\n",
    "<li>LOS (length of hospital stay in days)\n",
    "<li>AGE of patient, in years\n",
    "<li>SEX of patient, in years\n",
    "<li>DRG - discharge code, not used in this analysis\n",
    "<li>DIED -coded as 1 if the patient died and 0 if they survived\n",
    "</ul>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "80305f43",
   "metadata": {},
   "source": [
    "## Data cleaning\n",
    "Data values exceding plausible ranges (age>110: 2 cases, length of stay>100 days: 1 case) were exculded from the analysis (the remaining data for affected patients were retained in the database). No other outliers or bad data points were identifed, but we note that the cost of stay (CHARGES) was not recorded in 699 out of 12 843 cases."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "6e45de15",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "number of missing values per variable:\n",
      "CHARGES    699\n",
      "LOS          1\n",
      "AGE          4\n",
      "SEX          2\n",
      "DRG          3\n",
      "DIED         3\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "### Import and clean data\n",
    "heartAttack=pandas.read_csv('https://raw.githubusercontent.com/jillxoreilly/StatsCourseBook/main/data/heartAttack.csv')\n",
    "heartAttack.loc[(heartAttack['LOS']>100),['LOS']]=np.nan\n",
    "heartAttack.loc[(heartAttack['AGE']>110),['AGE']]=np.nan\n",
    "print('number of missing values per variable:')\n",
    "print(heartAttack.isna().sum())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "999d8a9a",
   "metadata": {},
   "source": [
    "### Sample Overview\n",
    "\n",
    "The distributions of each variable are displayed below in <b>Figure 1</b>:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "id": "7330222f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[10,5])\n",
    "plt.suptitle('Figure 1: sample overview', fontsize=16)\n",
    "\n",
    "plt.subplot(2,3,1)\n",
    "sns.set_palette(\"muted\")\n",
    "sns.histplot(data=heartAttack, x='CHARGES', bins=range(0,50000,1000))\n",
    "plt.xlabel('Cost of hospital stay ($)')\n",
    "\n",
    "plt.subplot(2,3,2)\n",
    "sns.histplot(data=heartAttack, x='LOS', bins=range(0,40,1))\n",
    "plt.xlabel('Duration of hospital stay (days)')\n",
    "\n",
    "plt.subplot(2,3,3)\n",
    "sns.histplot(data=heartAttack, x='AGE', bins=range(20,100,1))\n",
    "plt.xlabel('Age of patient (years)')\n",
    "\n",
    "plt.subplot(2,3,4)\n",
    "colors = ['r', 'b']# Set your custom color palette\n",
    "sns.set_palette(sns.color_palette(colors))\n",
    "sns.countplot(data=heartAttack, x='SEX')\n",
    "plt.xlabel('Sex of patient')\n",
    "\n",
    "plt.subplot(2,3,5)\n",
    "colors = [[0.75,0.75,0.75], 'k']# Set your custom color palette\n",
    "sns.set_palette(sns.color_palette(colors))\n",
    "sns.countplot(data=heartAttack, x='DIED')\n",
    "plt.xlabel('Did patient die?')\n",
    "plt.xticks(ticks=[0,1],labels=['survived','died'])\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "914a2fac",
   "metadata": {},
   "source": [
    "#### Here are some summary statistics for the patient cohort (calculations displayed in the cell below)\n",
    "\n",
    "<b>Cost of stay:</b> The cost of the hosiptal stay (CHARGES) had a skewed distribution: the median cost was 8445 dollars, and 90\\% of patients' stays cost less than 18,000 dollars, but the most expensive 2\\% of stays cost over 30,000 dollars\n",
    "\n",
    "<b>Duration of stay:</b> The duration of the hosiptal stay (LOS) also had a skewed distribution: the median duration was 7 days, and 90\\% of patients stayed 13 days or less, but the longest 2\\% of stays were over 22 days. Notably there was a spike of patients staying only one day, containing 9% of cases.\n",
    "\n",
    "<b>Age of patients:</b> Most patients were older adults; the median age (AGE) was 67 but 200% of patients were under 54. Approximately and 20% were over 80 and 2% were over 90.\n",
    "\n",
    "<b>Sex of patients</b>: Approximately 60% of the patients were male (column name: SEX)\n",
    "\n",
    "<b>Survived/Died</b>: Approximately 11% of patients sadly died during their stay in hospital (column name: DIED)\n",
    "\n",
    "The cell below contains some calculations for the summary statistics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "id": "9b526a05",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "quantiles:\n",
      "         CHARGES   LOS   AGE\n",
      "0.20   4764.8000   3.0  54.0\n",
      "0.50   8445.0000   7.0  67.0\n",
      "0.80  13851.0000  11.0  79.0\n",
      "0.90  17931.6000  13.0  83.0\n",
      "0.95  22557.7280  17.0  87.0\n",
      "0.98  29061.8800  22.0  91.0\n",
      "0.99  34102.7504  26.0  93.0\n",
      "proportion of cases staying only one day:\n",
      "0.09303955154157584\n",
      "proportion male:\n",
      "0.6056524447212707\n",
      "proportion died:\n",
      "0.10977888508252881\n"
     ]
    }
   ],
   "source": [
    "print('quantiles:')\n",
    "print(heartAttack[['CHARGES','LOS','AGE']].quantile([.2, .5, .8, .9, .95, .98, .99]))\n",
    "\n",
    "print('proportion of cases staying only one day:')\n",
    "print(len(heartAttack[heartAttack['LOS']<=1])/len(heartAttack))\n",
    "\n",
    "print('proportion male:')\n",
    "print(len(heartAttack[heartAttack['SEX']=='M'])/len(heartAttack))\n",
    "\n",
    "print('proportion died:')\n",
    "print(len(heartAttack[heartAttack['DIED']==1])/len(heartAttack))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "235d536d",
   "metadata": {},
   "source": [
    "### Further analysis of costs will be disaggregated by mortality\n",
    "\n",
    "Focussing now on factors affecting the distribution of charges, we note first that the distribution of charges was different for patients who survived and died (see Figure 2 below), and that this may reflect the different lengths of stay typically associated with these outcomes. Notably, about 40% of patients who died, died on the first day in hospital, whilst 95% of those who survived stayed more than one day."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "id": "8b3f3b07",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "proportion of those who died, who died on day 1 in hospital:\n",
      "0.4099290780141844\n",
      "proportion of those who survived, who stayed longer than 1 day in hospital:\n",
      "0.9459364884961946\n"
     ]
    }
   ],
   "source": [
    "# breakdown of patients staying only one day in hospital\n",
    "\n",
    "print('proportion of those who died, who died on day 1 in hospital:')\n",
    "print(len(heartAttack[(heartAttack['DIED']==1) & (heartAttack['LOS']==1)])/len(heartAttack[(heartAttack['DIED']==1)]))\n",
    "\n",
    "print('proportion of those who survived, who stayed longer than 1 day in hospital:')\n",
    "print(len(heartAttack[(heartAttack['DIED']==0) & (heartAttack['LOS']>1)])/len(heartAttack[(heartAttack['DIED']==0)]))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f2b224cc",
   "metadata": {},
   "source": [
    "<b>Figure 2</b> below shows the distribution of costs and length of stay separately for the patients who survived and died:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "id": "c2ad8219",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot cost and duration of stay disaggregated by mortality\n",
    "plt.figure(figsize=[10,5])\n",
    "plt.suptitle('Figure 2: costs and length of differ by mortaility', fontsize=16)\n",
    "\n",
    "plt.subplot(1,2,1)\n",
    "sns.histplot(data=heartAttack, x='CHARGES', bins=range(0,50000,1000), hue='DIED')\n",
    "plt.xlabel('Cost of hospital stay ($)')\n",
    "plt.legend(['survived','died'])\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "sns.histplot(data=heartAttack, x='LOS', bins=range(0,40,1), hue='DIED')\n",
    "plt.xlabel('Duration of hospital stay (days)')\n",
    "plt.legend(['survived','died'])\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c377b7d7",
   "metadata": {},
   "source": [
    "For clarity, further analysis of costs will focus only on the patients who survived. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "id": "19cb0d42",
   "metadata": {},
   "outputs": [],
   "source": [
    "# create a new dataframe containing only patients who survived\n",
    "survived = heartAttack[heartAttack['DIED']==0]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b139ce3",
   "metadata": {},
   "source": [
    "### Cost of stay is driven by duration of stay\n",
    "\n",
    "Focussing on patients who survived, we see that, perhaps unsurprisingly, longer hospital stays are associated with higher costs (Spearman's correlation r = 0.72), and the longest stays and highest costs occur in older patients (see <b>figure 3</b> below).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "id": "9a38ddbd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot cost and duration of stay disaggregated by mortality\n",
    "plt.figure(figsize=[10,5])\n",
    "plt.suptitle('Figure 3: costs and length stay covary, and both covary with age', fontsize=16)\n",
    "\n",
    "plt.subplot(1,3,1)\n",
    "sns.histplot(data=survived, x='LOS', y='CHARGES', bins=[range(0,40,1), range(0,50000,1000)])\n",
    "\n",
    "plt.subplot(1,3,2)\n",
    "sns.histplot(data=survived, x='AGE', y='LOS', bins=[range(20,110,1), range(0,40,1)])\n",
    "\n",
    "plt.subplot(1,3,3)\n",
    "sns.histplot(data=survived, x='AGE', y='CHARGES', bins=[range(20,110,1), range(0,50000,1000)])\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5f25b053",
   "metadata": {},
   "source": [
    "#### From the figure \n",
    "we can see that there is a strong link between duration of stay and charges (Spearman's correlation r = 0.72).\n",
    "\n",
    "<i>Furthermore</i> - \n",
    "\n",
    "The patients with the longest hospital stays tended to be older (Spearman's correlation r = 0.27), although for both old and young patients the most common duration of stay was similar (about a week); thus the correlation between age and length of stay is probably driven by a long tail of long-duration stays in older patients.\n",
    "\n",
    "Similarly, the patients with the highest charges tended to be older (Spearman's correlation r = 0.089), although for both old and young patients the majority of cases cost less than 10,000 dollars, thus the correlation between age and dollar cost stay is probably driven by a long tail of high-cost stays in older patients.\n",
    "\n",
    "The following calculations support the text in this section:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "id": "18cb40ee",
   "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>CHARGES</th>\n",
       "      <th>LOS</th>\n",
       "      <th>AGE</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>CHARGES</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.716863</td>\n",
       "      <td>0.088667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LOS</th>\n",
       "      <td>0.716863</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.274533</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AGE</th>\n",
       "      <td>0.088667</td>\n",
       "      <td>0.274533</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          CHARGES       LOS       AGE\n",
       "CHARGES  1.000000  0.716863  0.088667\n",
       "LOS      0.716863  1.000000  0.274533\n",
       "AGE      0.088667  0.274533  1.000000"
      ]
     },
     "execution_count": 127,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# generate correlation matrix for cost, duration of stay and age\n",
    "survived[['CHARGES','LOS','AGE']].corr(method='spearman')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c32daa4f",
   "metadata": {},
   "source": [
    "### Conclusions\n",
    "\n",
    "For patients admitted to hospital following a heart attack, there is a wide range of costs; the median dollar cost of the hospital stay is around 8500, and 90% of patients' stays cost less than 18,000 dollars, but the most expensive 2% of stays cost over 30,000 dollars.\n",
    "\n",
    "Around 90% of patients admitted to hospital with heart attack survive; for those who sadly die, it is common (40% of cases) to die on the day of admission and stays are generally shorter and associated with lower dollar cost than patients who survive. Patients who died were therefore considered a separate subgroup; analysis here focusses on the 90% who survived.\n",
    "\n",
    "A key factor determining the cost is the duration of the stay in hospital. Longer stays are associated with higher costs, with each day in hospital adding an average of 950 dollars to the bill. Longer, more expensive stays are most common for older patients.\n",
    "\n",
    "We note that with an aging population in the USA, the frequency of long, high-cost stays in hospital is likely to increase in coming years and advise Medicare to budget for this.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "eb4aa7d7",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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