"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "numerical_vars = ['Age', 'Gender','Total_Bilirubin', 'Direct_Bilirubin', 'Alkaline_Phosphotase', \n",
+ " 'Alamine_Aminotransferase', 'Aspartate_Aminotransferase', 'Total_Protiens', \n",
+ " 'Albumin', 'Albumin_and_Globulin_Ratio']\n",
+ "df[numerical_vars].hist(figsize=(12, 10))\n",
+ "plt.suptitle('Histograms of Numerical Variables', fontsize=16)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Analysis of the histogram: \n",
+ "-> Age: The graph shows that most of the people age is between 30 to 70 in the dataset \n",
+ "-> Gender: Gender is only 0 (for female) and 1 (for male) also indicates that male dominant data is present in the dataset \n",
+ "-> Total Billirubin: around 500 people in the dataset have total billirubin between 0 to 10 in their blood \n",
+ "-> Direct Billirubin: Direct billirubin which is processed by liver, in the dataset around 450 people have direct billirubin between 0 to 2 in their blood.\n",
+ "-> Alkaline phosphotase(ALP):Few people in dataset have high elevated ALP enzyme which indicates liver disorders \n",
+ "-> Alanine Aminotransferase(ALT): This enzyme which convert alanine and amino acid into pyruvate but high level of this causes damages to liver and result int fatty liver disease. In dataset very few have high level ALT. \n",
+ "-> Aspartate Aminotransferase(AST): High AST causes hepatitis, few have high level AST in the dataset. \n",
+ "-> Total Protien: This indicates total amount of albumin and globulin in the blood, its low levels (less than 6g) indicates liver disease. Around 60 people in the dataset have it bewtween 5-6 gm and some have even less than this. \n",
+ "-> Albumin: Main protien made by the liver, low levels(less than 3.5) indicate chronic liver disease. Around 100 people have low level of albumin the dataset. \n",
+ "-> A/G ratio: low ratio signifise liver disease, in dataset around 50 have this ratio less than 0.5."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### -> Explore the Correaltion matrix"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 40,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ "
"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "corr=df.corr(method='kendall')\n",
+ "plt.figure(figsize=(10,10))\n",
+ "sns.heatmap(corr,annot=True,cmap='coolwarm',fmt=\".2f\",linewidth=.5)\n",
+ "plt.title(\"Correlation\")\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "the exact correaltion value is not visible in the heatmap so going to print the whole matrix and derive something from there. \n",
+ "Correlation with respect to different methods can be derived, correlation methods like pearson, spearman, kendall will be used here"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 41,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "