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raov5/Basic Graphs in R.ipynb

Created September 4, 2017 10:04
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This notebook covers: * Bar, box and dot plots * Pie and fan charts * Histograms and kernel density plots
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Basic Graphs in R.ipynb
{
"nbformat_minor": 1,
"cells": [
{
"outputs": [],
"cell_type": "code",
"metadata": {
"collapsed": true
},
"source": "#@author: Venky Rao [email protected]\n#@last edited: 4 Sep 2017\n#@source: materials, data and examples adapted from R in Action 2nd Edition by Dr. Robert Kabacoff",
"execution_count": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": "# Basic graphs in R"
},
{
"cell_type": "markdown",
"metadata": {},
"source": "## Bar plots"
},
{
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": "Installing package into \u2018/gpfs/global_fs01/sym_shared/YPProdSpark/user/s17c-9f3318fc11f06c-d37a4b9405b6/R/libs\u2019\n(as \u2018lib\u2019 is unspecified)\n"
}
],
"cell_type": "code",
"metadata": {},
"source": "#a bar plot displays the distribution (frequency) of a catagorical variable through vertical or horizontal bars\n# we will use the Arthritis data frame distributed with the vcd package\ninstall.packages(\"vcd\")",
"execution_count": 3
},
{
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": "Loading required package: grid\n\nAttaching package: \u2018grid\u2019\n\nThe following object is masked from \u2018package:SparkR\u2019:\n\n explode\n\n"
}
],
"cell_type": "code",
"metadata": {},
"source": "#load the vcd library\nlibrary(vcd)",
"execution_count": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Simple bar plots"
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/plain": "\n None Some Marked \n 42 14 28 "
}
}
],
"cell_type": "code",
"metadata": {},
"source": "counts <- table(Arthritis$Improved) #the variable Improved in the Arthritis dataset records\n #patient outcomes for individuals receiving a placebo or drug\ncounts #display counts",
"execution_count": 5
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#simple vertical bar plot\nbarplot(counts, #dataset = counts\n main = \"Simple Bar Plot\", #main = title of the plot\n xlab = \"Improvement\", #xlab = x-axis label\n ylab = \"Frequency\") #ylab = y-axis label",
"execution_count": 6
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#simple horizontal bar plot\nbarplot(counts, #dataset = counts\n main = \"Horizontal Bar Plot\", #main = title of the plot\n xlab = \"Improvement\", #xlab = x-axis label\n ylab = \"Frequency\", #ylab = y-axis label\n horiz = T) #option for horizontal plot",
"execution_count": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Stacked and grouped bar plots"
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/plain": " \n Placebo Treated\n None 29 13\n Some 7 7\n Marked 7 21"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#consider the cross tabulation of treatment type and improvement status\ncounts <- table(Arthritis$Improved, Arthritis$Treatment)\ncounts",
"execution_count": 8
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#stacked bar plot\nbarplot(counts, #dataset = counts\n main = \"Stacked Bar Plot\", #main = title of the plot\n xlab = \"Treatment\", #xlab = x-axis label\n ylab = \"Frequency\", #ylab = y-axis label\n col = c(\"red\", \"yellow\", \"green\"), #colors of the stacked portions\n legend = rownames(counts)) #rownames are improvement status",
"execution_count": 10
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#grouped bar plot\nbarplot(counts, #dataset = counts\n main = \"Grouped Bar Plot\", #main = title of the plot\n xlab = \"Treatment\", #xlab = x-axis label\n ylab = \"Frequency\", #ylab = y-axis label\n col = c(\"red\", \"yellow\", \"green\"), #colors of the stacked portions\n legend = rownames(counts), #rownames are improvement status\n beside = T) #each column of the matrix are juxtaposed rather than stacked",
"execution_count": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Mean bar plots"
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/latex": "\\begin{tabular}{r|lllllllll}\n & state.region & Population & Income & Illiteracy & Life.Exp & Murder & HS.Grad & Frost & Area\\\\\n\\hline\n\tAlabama & South & 3615 & 3624 & 2.1 & 69.05 & 15.1 & 41.3 & 20 & 50708 \\\\\n\tAlaska & West & 365 & 6315 & 1.5 & 69.31 & 11.3 & 66.7 & 152 & 566432 \\\\\n\tArizona & West & 2212 & 4530 & 1.8 & 70.55 & 7.8 & 58.1 & 15 & 113417 \\\\\n\tArkansas & South & 2110 & 3378 & 1.9 & 70.66 & 10.1 & 39.9 & 65 & 51945 \\\\\n\tCalifornia & West & 21198 & 5114 & 1.1 & 71.71 & 10.3 & 62.6 & 20 & 156361 \\\\\n\tColorado & West & 2541 & 4884 & 0.7 & 72.06 & 6.8 & 63.9 & 166 & 103766 \\\\\n\tConnecticut & Northeast & 3100 & 5348 & 1.1 & 72.48 & 3.1 & 56.0 & 139 & 4862 \\\\\n\tDelaware & South & 579 & 4809 & 0.9 & 70.06 & 6.2 & 54.6 & 103 & 1982 \\\\\n\tFlorida & South & 8277 & 4815 & 1.3 & 70.66 & 10.7 & 52.6 & 11 & 54090 \\\\\n\tGeorgia & South & 4931 & 4091 & 2.0 & 68.54 & 13.9 & 40.6 & 60 & 58073 \\\\\n\tHawaii & West & 868 & 4963 & 1.9 & 73.60 & 6.2 & 61.9 & 0 & 6425 \\\\\n\tIdaho & West & 813 & 4119 & 0.6 & 71.87 & 5.3 & 59.5 & 126 & 82677 \\\\\n\tIllinois & North Central & 11197 & 5107 & 0.9 & 70.14 & 10.3 & 52.6 & 127 & 55748 \\\\\n\tIndiana & North Central & 5313 & 4458 & 0.7 & 70.88 & 7.1 & 52.9 & 122 & 36097 \\\\\n\tIowa & North Central & 2861 & 4628 & 0.5 & 72.56 & 2.3 & 59.0 & 140 & 55941 \\\\\n\tKansas & North Central & 2280 & 4669 & 0.6 & 72.58 & 4.5 & 59.9 & 114 & 81787 \\\\\n\tKentucky & South & 3387 & 3712 & 1.6 & 70.10 & 10.6 & 38.5 & 95 & 39650 \\\\\n\tLouisiana & South & 3806 & 3545 & 2.8 & 68.76 & 13.2 & 42.2 & 12 & 44930 \\\\\n\tMaine & Northeast & 1058 & 3694 & 0.7 & 70.39 & 2.7 & 54.7 & 161 & 30920 \\\\\n\tMaryland & South & 4122 & 5299 & 0.9 & 70.22 & 8.5 & 52.3 & 101 & 9891 \\\\\n\tMassachusetts & Northeast & 5814 & 4755 & 1.1 & 71.83 & 3.3 & 58.5 & 103 & 7826 \\\\\n\tMichigan & North Central & 9111 & 4751 & 0.9 & 70.63 & 11.1 & 52.8 & 125 & 56817 \\\\\n\tMinnesota & North Central & 3921 & 4675 & 0.6 & 72.96 & 2.3 & 57.6 & 160 & 79289 \\\\\n\tMississippi & South & 2341 & 3098 & 2.4 & 68.09 & 12.5 & 41.0 & 50 & 47296 \\\\\n\tMissouri & North Central & 4767 & 4254 & 0.8 & 70.69 & 9.3 & 48.8 & 108 & 68995 \\\\\n\tMontana & West & 746 & 4347 & 0.6 & 70.56 & 5.0 & 59.2 & 155 & 145587 \\\\\n\tNebraska & North Central & 1544 & 4508 & 0.6 & 72.60 & 2.9 & 59.3 & 139 & 76483 \\\\\n\tNevada & West & 590 & 5149 & 0.5 & 69.03 & 11.5 & 65.2 & 188 & 109889 \\\\\n\tNew Hampshire & Northeast & 812 & 4281 & 0.7 & 71.23 & 3.3 & 57.6 & 174 & 9027 \\\\\n\tNew Jersey & Northeast & 7333 & 5237 & 1.1 & 70.93 & 5.2 & 52.5 & 115 & 7521 \\\\\n\tNew Mexico & West & 1144 & 3601 & 2.2 & 70.32 & 9.7 & 55.2 & 120 & 121412 \\\\\n\tNew York & Northeast & 18076 & 4903 & 1.4 & 70.55 & 10.9 & 52.7 & 82 & 47831 \\\\\n\tNorth Carolina & South & 5441 & 3875 & 1.8 & 69.21 & 11.1 & 38.5 & 80 & 48798 \\\\\n\tNorth Dakota & North Central & 637 & 5087 & 0.8 & 72.78 & 1.4 & 50.3 & 186 & 69273 \\\\\n\tOhio & North Central & 10735 & 4561 & 0.8 & 70.82 & 7.4 & 53.2 & 124 & 40975 \\\\\n\tOklahoma & South & 2715 & 3983 & 1.1 & 71.42 & 6.4 & 51.6 & 82 & 68782 \\\\\n\tOregon & West & 2284 & 4660 & 0.6 & 72.13 & 4.2 & 60.0 & 44 & 96184 \\\\\n\tPennsylvania & Northeast & 11860 & 4449 & 1.0 & 70.43 & 6.1 & 50.2 & 126 & 44966 \\\\\n\tRhode Island & Northeast & 931 & 4558 & 1.3 & 71.90 & 2.4 & 46.4 & 127 & 1049 \\\\\n\tSouth Carolina & South & 2816 & 3635 & 2.3 & 67.96 & 11.6 & 37.8 & 65 & 30225 \\\\\n\tSouth Dakota & North Central & 681 & 4167 & 0.5 & 72.08 & 1.7 & 53.3 & 172 & 75955 \\\\\n\tTennessee & South & 4173 & 3821 & 1.7 & 70.11 & 11.0 & 41.8 & 70 & 41328 \\\\\n\tTexas & South & 12237 & 4188 & 2.2 & 70.90 & 12.2 & 47.4 & 35 & 262134 \\\\\n\tUtah & West & 1203 & 4022 & 0.6 & 72.90 & 4.5 & 67.3 & 137 & 82096 \\\\\n\tVermont & Northeast & 472 & 3907 & 0.6 & 71.64 & 5.5 & 57.1 & 168 & 9267 \\\\\n\tVirginia & South & 4981 & 4701 & 1.4 & 70.08 & 9.5 & 47.8 & 85 & 39780 \\\\\n\tWashington & West & 3559 & 4864 & 0.6 & 71.72 & 4.3 & 63.5 & 32 & 66570 \\\\\n\tWest Virginia & South & 1799 & 3617 & 1.4 & 69.48 & 6.7 & 41.6 & 100 & 24070 \\\\\n\tWisconsin & North Central & 4589 & 4468 & 0.7 & 72.48 & 3.0 & 54.5 & 149 & 54464 \\\\\n\tWyoming & West & 376 & 4566 & 0.6 & 70.29 & 6.9 & 62.9 & 173 & 97203 \\\\\n\\end{tabular}\n",
"text/html": "<table>\n<thead><tr><th></th><th scope=col>state.region</th><th scope=col>Population</th><th scope=col>Income</th><th scope=col>Illiteracy</th><th scope=col>Life.Exp</th><th scope=col>Murder</th><th scope=col>HS.Grad</th><th scope=col>Frost</th><th scope=col>Area</th></tr></thead>\n<tbody>\n\t<tr><th scope=row>Alabama</th><td>South </td><td> 3615 </td><td>3624 </td><td>2.1 </td><td>69.05 </td><td>15.1 </td><td>41.3 </td><td> 20 </td><td> 50708 </td></tr>\n\t<tr><th scope=row>Alaska</th><td>West </td><td> 365 </td><td>6315 </td><td>1.5 </td><td>69.31 </td><td>11.3 </td><td>66.7 </td><td>152 </td><td>566432 </td></tr>\n\t<tr><th scope=row>Arizona</th><td>West </td><td> 2212 </td><td>4530 </td><td>1.8 </td><td>70.55 </td><td> 7.8 </td><td>58.1 </td><td> 15 </td><td>113417 </td></tr>\n\t<tr><th scope=row>Arkansas</th><td>South </td><td> 2110 </td><td>3378 </td><td>1.9 </td><td>70.66 </td><td>10.1 </td><td>39.9 </td><td> 65 </td><td> 51945 </td></tr>\n\t<tr><th scope=row>California</th><td>West </td><td>21198 </td><td>5114 </td><td>1.1 </td><td>71.71 </td><td>10.3 </td><td>62.6 </td><td> 20 </td><td>156361 </td></tr>\n\t<tr><th scope=row>Colorado</th><td>West </td><td> 2541 </td><td>4884 </td><td>0.7 </td><td>72.06 </td><td> 6.8 </td><td>63.9 </td><td>166 </td><td>103766 </td></tr>\n\t<tr><th scope=row>Connecticut</th><td>Northeast </td><td> 3100 </td><td>5348 </td><td>1.1 </td><td>72.48 </td><td> 3.1 </td><td>56.0 </td><td>139 </td><td> 4862 </td></tr>\n\t<tr><th scope=row>Delaware</th><td>South </td><td> 579 </td><td>4809 </td><td>0.9 </td><td>70.06 </td><td> 6.2 </td><td>54.6 </td><td>103 </td><td> 1982 </td></tr>\n\t<tr><th scope=row>Florida</th><td>South </td><td> 8277 </td><td>4815 </td><td>1.3 </td><td>70.66 </td><td>10.7 </td><td>52.6 </td><td> 11 </td><td> 54090 </td></tr>\n\t<tr><th scope=row>Georgia</th><td>South </td><td> 4931 </td><td>4091 </td><td>2.0 </td><td>68.54 </td><td>13.9 </td><td>40.6 </td><td> 60 </td><td> 58073 </td></tr>\n\t<tr><th scope=row>Hawaii</th><td>West </td><td> 868 </td><td>4963 </td><td>1.9 </td><td>73.60 </td><td> 6.2 </td><td>61.9 </td><td> 0 </td><td> 6425 </td></tr>\n\t<tr><th scope=row>Idaho</th><td>West </td><td> 813 </td><td>4119 </td><td>0.6 </td><td>71.87 </td><td> 5.3 </td><td>59.5 </td><td>126 </td><td> 82677 </td></tr>\n\t<tr><th scope=row>Illinois</th><td>North Central</td><td>11197 </td><td>5107 </td><td>0.9 </td><td>70.14 </td><td>10.3 </td><td>52.6 </td><td>127 </td><td> 55748 </td></tr>\n\t<tr><th scope=row>Indiana</th><td>North Central</td><td> 5313 </td><td>4458 </td><td>0.7 </td><td>70.88 </td><td> 7.1 </td><td>52.9 </td><td>122 </td><td> 36097 </td></tr>\n\t<tr><th scope=row>Iowa</th><td>North Central</td><td> 2861 </td><td>4628 </td><td>0.5 </td><td>72.56 </td><td> 2.3 </td><td>59.0 </td><td>140 </td><td> 55941 </td></tr>\n\t<tr><th scope=row>Kansas</th><td>North Central</td><td> 2280 </td><td>4669 </td><td>0.6 </td><td>72.58 </td><td> 4.5 </td><td>59.9 </td><td>114 </td><td> 81787 </td></tr>\n\t<tr><th scope=row>Kentucky</th><td>South </td><td> 3387 </td><td>3712 </td><td>1.6 </td><td>70.10 </td><td>10.6 </td><td>38.5 </td><td> 95 </td><td> 39650 </td></tr>\n\t<tr><th scope=row>Louisiana</th><td>South </td><td> 3806 </td><td>3545 </td><td>2.8 </td><td>68.76 </td><td>13.2 </td><td>42.2 </td><td> 12 </td><td> 44930 </td></tr>\n\t<tr><th scope=row>Maine</th><td>Northeast </td><td> 1058 </td><td>3694 </td><td>0.7 </td><td>70.39 </td><td> 2.7 </td><td>54.7 </td><td>161 </td><td> 30920 </td></tr>\n\t<tr><th scope=row>Maryland</th><td>South </td><td> 4122 </td><td>5299 </td><td>0.9 </td><td>70.22 </td><td> 8.5 </td><td>52.3 </td><td>101 </td><td> 9891 </td></tr>\n\t<tr><th scope=row>Massachusetts</th><td>Northeast </td><td> 5814 </td><td>4755 </td><td>1.1 </td><td>71.83 </td><td> 3.3 </td><td>58.5 </td><td>103 </td><td> 7826 </td></tr>\n\t<tr><th scope=row>Michigan</th><td>North Central</td><td> 9111 </td><td>4751 </td><td>0.9 </td><td>70.63 </td><td>11.1 </td><td>52.8 </td><td>125 </td><td> 56817 </td></tr>\n\t<tr><th scope=row>Minnesota</th><td>North Central</td><td> 3921 </td><td>4675 </td><td>0.6 </td><td>72.96 </td><td> 2.3 </td><td>57.6 </td><td>160 </td><td> 79289 </td></tr>\n\t<tr><th scope=row>Mississippi</th><td>South </td><td> 2341 </td><td>3098 </td><td>2.4 </td><td>68.09 </td><td>12.5 </td><td>41.0 </td><td> 50 </td><td> 47296 </td></tr>\n\t<tr><th scope=row>Missouri</th><td>North Central</td><td> 4767 </td><td>4254 </td><td>0.8 </td><td>70.69 </td><td> 9.3 </td><td>48.8 </td><td>108 </td><td> 68995 </td></tr>\n\t<tr><th scope=row>Montana</th><td>West </td><td> 746 </td><td>4347 </td><td>0.6 </td><td>70.56 </td><td> 5.0 </td><td>59.2 </td><td>155 </td><td>145587 </td></tr>\n\t<tr><th scope=row>Nebraska</th><td>North Central</td><td> 1544 </td><td>4508 </td><td>0.6 </td><td>72.60 </td><td> 2.9 </td><td>59.3 </td><td>139 </td><td> 76483 </td></tr>\n\t<tr><th scope=row>Nevada</th><td>West </td><td> 590 </td><td>5149 </td><td>0.5 </td><td>69.03 </td><td>11.5 </td><td>65.2 </td><td>188 </td><td>109889 </td></tr>\n\t<tr><th scope=row>New Hampshire</th><td>Northeast </td><td> 812 </td><td>4281 </td><td>0.7 </td><td>71.23 </td><td> 3.3 </td><td>57.6 </td><td>174 </td><td> 9027 </td></tr>\n\t<tr><th scope=row>New Jersey</th><td>Northeast </td><td> 7333 </td><td>5237 </td><td>1.1 </td><td>70.93 </td><td> 5.2 </td><td>52.5 </td><td>115 </td><td> 7521 </td></tr>\n\t<tr><th scope=row>New Mexico</th><td>West </td><td> 1144 </td><td>3601 </td><td>2.2 </td><td>70.32 </td><td> 9.7 </td><td>55.2 </td><td>120 </td><td>121412 </td></tr>\n\t<tr><th scope=row>New York</th><td>Northeast </td><td>18076 </td><td>4903 </td><td>1.4 </td><td>70.55 </td><td>10.9 </td><td>52.7 </td><td> 82 </td><td> 47831 </td></tr>\n\t<tr><th scope=row>North Carolina</th><td>South </td><td> 5441 </td><td>3875 </td><td>1.8 </td><td>69.21 </td><td>11.1 </td><td>38.5 </td><td> 80 </td><td> 48798 </td></tr>\n\t<tr><th scope=row>North Dakota</th><td>North Central</td><td> 637 </td><td>5087 </td><td>0.8 </td><td>72.78 </td><td> 1.4 </td><td>50.3 </td><td>186 </td><td> 69273 </td></tr>\n\t<tr><th scope=row>Ohio</th><td>North Central</td><td>10735 </td><td>4561 </td><td>0.8 </td><td>70.82 </td><td> 7.4 </td><td>53.2 </td><td>124 </td><td> 40975 </td></tr>\n\t<tr><th scope=row>Oklahoma</th><td>South </td><td> 2715 </td><td>3983 </td><td>1.1 </td><td>71.42 </td><td> 6.4 </td><td>51.6 </td><td> 82 </td><td> 68782 </td></tr>\n\t<tr><th scope=row>Oregon</th><td>West </td><td> 2284 </td><td>4660 </td><td>0.6 </td><td>72.13 </td><td> 4.2 </td><td>60.0 </td><td> 44 </td><td> 96184 </td></tr>\n\t<tr><th scope=row>Pennsylvania</th><td>Northeast </td><td>11860 </td><td>4449 </td><td>1.0 </td><td>70.43 </td><td> 6.1 </td><td>50.2 </td><td>126 </td><td> 44966 </td></tr>\n\t<tr><th scope=row>Rhode Island</th><td>Northeast </td><td> 931 </td><td>4558 </td><td>1.3 </td><td>71.90 </td><td> 2.4 </td><td>46.4 </td><td>127 </td><td> 1049 </td></tr>\n\t<tr><th scope=row>South Carolina</th><td>South </td><td> 2816 </td><td>3635 </td><td>2.3 </td><td>67.96 </td><td>11.6 </td><td>37.8 </td><td> 65 </td><td> 30225 </td></tr>\n\t<tr><th scope=row>South Dakota</th><td>North Central</td><td> 681 </td><td>4167 </td><td>0.5 </td><td>72.08 </td><td> 1.7 </td><td>53.3 </td><td>172 </td><td> 75955 </td></tr>\n\t<tr><th scope=row>Tennessee</th><td>South </td><td> 4173 </td><td>3821 </td><td>1.7 </td><td>70.11 </td><td>11.0 </td><td>41.8 </td><td> 70 </td><td> 41328 </td></tr>\n\t<tr><th scope=row>Texas</th><td>South </td><td>12237 </td><td>4188 </td><td>2.2 </td><td>70.90 </td><td>12.2 </td><td>47.4 </td><td> 35 </td><td>262134 </td></tr>\n\t<tr><th scope=row>Utah</th><td>West </td><td> 1203 </td><td>4022 </td><td>0.6 </td><td>72.90 </td><td> 4.5 </td><td>67.3 </td><td>137 </td><td> 82096 </td></tr>\n\t<tr><th scope=row>Vermont</th><td>Northeast </td><td> 472 </td><td>3907 </td><td>0.6 </td><td>71.64 </td><td> 5.5 </td><td>57.1 </td><td>168 </td><td> 9267 </td></tr>\n\t<tr><th scope=row>Virginia</th><td>South </td><td> 4981 </td><td>4701 </td><td>1.4 </td><td>70.08 </td><td> 9.5 </td><td>47.8 </td><td> 85 </td><td> 39780 </td></tr>\n\t<tr><th scope=row>Washington</th><td>West </td><td> 3559 </td><td>4864 </td><td>0.6 </td><td>71.72 </td><td> 4.3 </td><td>63.5 </td><td> 32 </td><td> 66570 </td></tr>\n\t<tr><th scope=row>West Virginia</th><td>South </td><td> 1799 </td><td>3617 </td><td>1.4 </td><td>69.48 </td><td> 6.7 </td><td>41.6 </td><td>100 </td><td> 24070 </td></tr>\n\t<tr><th scope=row>Wisconsin</th><td>North Central</td><td> 4589 </td><td>4468 </td><td>0.7 </td><td>72.48 </td><td> 3.0 </td><td>54.5 </td><td>149 </td><td> 54464 </td></tr>\n\t<tr><th scope=row>Wyoming</th><td>West </td><td> 376 </td><td>4566 </td><td>0.6 </td><td>70.29 </td><td> 6.9 </td><td>62.9 </td><td>173 </td><td> 97203 </td></tr>\n</tbody>\n</table>\n",
"text/plain": " state.region Population Income Illiteracy Life.Exp Murder\nAlabama South 3615 3624 2.1 69.05 15.1 \nAlaska West 365 6315 1.5 69.31 11.3 \nArizona West 2212 4530 1.8 70.55 7.8 \nArkansas South 2110 3378 1.9 70.66 10.1 \nCalifornia West 21198 5114 1.1 71.71 10.3 \nColorado West 2541 4884 0.7 72.06 6.8 \nConnecticut Northeast 3100 5348 1.1 72.48 3.1 \nDelaware South 579 4809 0.9 70.06 6.2 \nFlorida South 8277 4815 1.3 70.66 10.7 \nGeorgia South 4931 4091 2.0 68.54 13.9 \nHawaii West 868 4963 1.9 73.60 6.2 \nIdaho West 813 4119 0.6 71.87 5.3 \nIllinois North Central 11197 5107 0.9 70.14 10.3 \nIndiana North Central 5313 4458 0.7 70.88 7.1 \nIowa North Central 2861 4628 0.5 72.56 2.3 \nKansas North Central 2280 4669 0.6 72.58 4.5 \nKentucky South 3387 3712 1.6 70.10 10.6 \nLouisiana South 3806 3545 2.8 68.76 13.2 \nMaine Northeast 1058 3694 0.7 70.39 2.7 \nMaryland South 4122 5299 0.9 70.22 8.5 \nMassachusetts Northeast 5814 4755 1.1 71.83 3.3 \nMichigan North Central 9111 4751 0.9 70.63 11.1 \nMinnesota North Central 3921 4675 0.6 72.96 2.3 \nMississippi South 2341 3098 2.4 68.09 12.5 \nMissouri North Central 4767 4254 0.8 70.69 9.3 \nMontana West 746 4347 0.6 70.56 5.0 \nNebraska North Central 1544 4508 0.6 72.60 2.9 \nNevada West 590 5149 0.5 69.03 11.5 \nNew Hampshire Northeast 812 4281 0.7 71.23 3.3 \nNew Jersey Northeast 7333 5237 1.1 70.93 5.2 \nNew Mexico West 1144 3601 2.2 70.32 9.7 \nNew York Northeast 18076 4903 1.4 70.55 10.9 \nNorth Carolina South 5441 3875 1.8 69.21 11.1 \nNorth Dakota North Central 637 5087 0.8 72.78 1.4 \nOhio North Central 10735 4561 0.8 70.82 7.4 \nOklahoma South 2715 3983 1.1 71.42 6.4 \nOregon West 2284 4660 0.6 72.13 4.2 \nPennsylvania Northeast 11860 4449 1.0 70.43 6.1 \nRhode Island Northeast 931 4558 1.3 71.90 2.4 \nSouth Carolina South 2816 3635 2.3 67.96 11.6 \nSouth Dakota North Central 681 4167 0.5 72.08 1.7 \nTennessee South 4173 3821 1.7 70.11 11.0 \nTexas South 12237 4188 2.2 70.90 12.2 \nUtah West 1203 4022 0.6 72.90 4.5 \nVermont Northeast 472 3907 0.6 71.64 5.5 \nVirginia South 4981 4701 1.4 70.08 9.5 \nWashington West 3559 4864 0.6 71.72 4.3 \nWest Virginia South 1799 3617 1.4 69.48 6.7 \nWisconsin North Central 4589 4468 0.7 72.48 3.0 \nWyoming West 376 4566 0.6 70.29 6.9 \n HS.Grad Frost Area \nAlabama 41.3 20 50708\nAlaska 66.7 152 566432\nArizona 58.1 15 113417\nArkansas 39.9 65 51945\nCalifornia 62.6 20 156361\nColorado 63.9 166 103766\nConnecticut 56.0 139 4862\nDelaware 54.6 103 1982\nFlorida 52.6 11 54090\nGeorgia 40.6 60 58073\nHawaii 61.9 0 6425\nIdaho 59.5 126 82677\nIllinois 52.6 127 55748\nIndiana 52.9 122 36097\nIowa 59.0 140 55941\nKansas 59.9 114 81787\nKentucky 38.5 95 39650\nLouisiana 42.2 12 44930\nMaine 54.7 161 30920\nMaryland 52.3 101 9891\nMassachusetts 58.5 103 7826\nMichigan 52.8 125 56817\nMinnesota 57.6 160 79289\nMississippi 41.0 50 47296\nMissouri 48.8 108 68995\nMontana 59.2 155 145587\nNebraska 59.3 139 76483\nNevada 65.2 188 109889\nNew Hampshire 57.6 174 9027\nNew Jersey 52.5 115 7521\nNew Mexico 55.2 120 121412\nNew York 52.7 82 47831\nNorth Carolina 38.5 80 48798\nNorth Dakota 50.3 186 69273\nOhio 53.2 124 40975\nOklahoma 51.6 82 68782\nOregon 60.0 44 96184\nPennsylvania 50.2 126 44966\nRhode Island 46.4 127 1049\nSouth Carolina 37.8 65 30225\nSouth Dakota 53.3 172 75955\nTennessee 41.8 70 41328\nTexas 47.4 35 262134\nUtah 67.3 137 82096\nVermont 57.1 168 9267\nVirginia 47.8 85 39780\nWashington 63.5 32 66570\nWest Virginia 41.6 100 24070\nWisconsin 54.5 149 54464\nWyoming 62.9 173 97203"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#bar plot for sorted mean values\nstates <- data.frame(state.region, state.x77) #create a data frame by adding the state region to the state.x77 dataset\nstates #display the data frame",
"execution_count": 18
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/latex": "\\begin{tabular}{r|ll}\n Group.1 & x\\\\\n\\hline\n\t Northeast & 1.000000 \\\\\n\t South & 1.737500 \\\\\n\t North Central & 0.700000 \\\\\n\t West & 1.023077 \\\\\n\\end{tabular}\n",
"text/html": "<table>\n<thead><tr><th scope=col>Group.1</th><th scope=col>x</th></tr></thead>\n<tbody>\n\t<tr><td>Northeast </td><td>1.000000 </td></tr>\n\t<tr><td>South </td><td>1.737500 </td></tr>\n\t<tr><td>North Central</td><td>0.700000 </td></tr>\n\t<tr><td>West </td><td>1.023077 </td></tr>\n</tbody>\n</table>\n",
"text/plain": " Group.1 x \n1 Northeast 1.000000\n2 South 1.737500\n3 North Central 0.700000\n4 West 1.023077"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "means <- aggregate(states$Illiteracy, by = list(state.region), FUN = mean) #aggregate by mean illiteracy levels of states and group by regions\nmeans #display means",
"execution_count": 19
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/latex": "\\begin{tabular}{r|ll}\n & Group.1 & x\\\\\n\\hline\n\t3 & North Central & 0.700000 \\\\\n\t1 & Northeast & 1.000000 \\\\\n\t4 & West & 1.023077 \\\\\n\t2 & South & 1.737500 \\\\\n\\end{tabular}\n",
"text/html": "<table>\n<thead><tr><th></th><th scope=col>Group.1</th><th scope=col>x</th></tr></thead>\n<tbody>\n\t<tr><th scope=row>3</th><td>North Central</td><td>0.700000 </td></tr>\n\t<tr><th scope=row>1</th><td>Northeast </td><td>1.000000 </td></tr>\n\t<tr><th scope=row>4</th><td>West </td><td>1.023077 </td></tr>\n\t<tr><th scope=row>2</th><td>South </td><td>1.737500 </td></tr>\n</tbody>\n</table>\n",
"text/plain": " Group.1 x \n3 North Central 0.700000\n1 Northeast 1.000000\n4 West 1.023077\n2 South 1.737500"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "means <- means[order(means$x),] #sort by means, smallest to largest\nmeans #display the means object",
"execution_count": 20
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "barplot(means$x, #data for the plot is the column x of the means data frame\n names.arg = means$Group.1) #names of the bars\ntitle(\"Mean Illiteracy Rate\") #adds a title to the bar plot",
"execution_count": 21
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Tweaking bar plots"
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#fitting labels in a bar plot\npar(mar = c(5, 8, 4, 2)) #mar is a numerical vector indicating margin size,\n #where c(bottom, left, top, right) is expressed in lines.\n #the default is c(5, 4, 4, 2) + 0.1\npar(las = 2) #las \u2013 A numeric value indicating the orientation of the tick mark labels\n #and any other text added to a plot after its initialization. The options are\n #as follows: always parallel to the axis (the default, 0), always horizontal (1),\n #always perpendicular to the axis (2), and always vertical (3)\nlibrary(vcd) #load the vcd package library for the Arthritis dataset\ncounts <- table(Arthritis$Improved) #store the table results in the counts object\nbarplot(counts, #counts = data\n main = \"Treatment Outcome\", #title of the graph\n horiz = T, #horizontal orientation of the bars\n cex.names = 0.8, #size of the plotted text; 0.8x of normal size\n names.arg = c(\"No Improvement\", \"Some Improvement\",\n \"Marked Improvement\")) #names of the plotted text",
"execution_count": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Spinograms"
},
{
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": "Loading required package: grid\n\nAttaching package: \u2018grid\u2019\n\nThe following object is masked from \u2018package:SparkR\u2019:\n\n explode\n\n"
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#a spinogram is a specialized type of a box plot. In a spinogram, a stacked bar plot\n#is rescaled so that each bar is is 1 and the segment heights represent proportions.\n#spinograms are created using the spine() function of the vcd package, as follows:\nlibrary(vcd) #load the vcd package\nattach(Arthritis) #attach the arthritis dataset\ncounts <- table(Treatment, Improved) #create a contingency table and store it in the counts objects\nspine(counts, main = \"Spinogram Example\") #create the spinogram\ndetach(Arthritis) #detach the Arthritis dataset",
"execution_count": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": "## Pie charts"
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#pie charts are created by the function pie(x, labels) where:\n#x = non negative numeric vector indicating the area of each slice; and\n#labels = character vector of slice labels. here is an example:\npar(mfrow = c(2,2)) #creates a matrix of 2 rows x 2 cols filled in by row\nslices <- c(10, 12, 4, 16, 8) #vector of areas\nlbls <- c(\"US\", \"UK\", \"Australia\", \"Germany\", \"France\") #vector of labels\npie(slices, labels = lbls, main = \"Simple Pie Chart\") #create pie chart",
"execution_count": 4
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#adds percentages to the pie chart:\npar(mfrow = c(2,2)) #creates a matrix of 2 rows x 2 cols filled in by row\n#chart 1\nslices <- c(10, 12, 4, 16, 8) #vector of areas\nlbls <- c(\"US\", \"UK\", \"Australia\", \"Germany\", \"France\") #vector of labels\npie(slices, labels = lbls, main = \"Simple Pie Chart\") #create pie chart\n#chart 2\npct <- round(slices/sum(slices) * 100) #calculate percentages\nlbls2 <- paste(lbls, \" \", pct, \"%\", spe = \"\") #add percentages to the labels\npie(slices, labels = lbls2, col = rainbow(length(lbls2)), main = \"Pie Chart with Percentages\") #create pie chart",
"execution_count": 6
},
{
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": "Installing package into \u2018/gpfs/global_fs01/sym_shared/YPProdSpark/user/s17c-9f3318fc11f06c-d37a4b9405b6/R/libs\u2019\n(as \u2018lib\u2019 is unspecified)\n"
}
],
"cell_type": "code",
"metadata": {},
"source": "#install the plotrix package for creating 3D pie charts\ninstall.packages(\"plotrix\")",
"execution_count": 8
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#add a 3D pie chart:\npar(mfrow = c(2,2)) #creates a matrix of 2 rows x 2 cols filled in by row\n#chart 1\nslices <- c(10, 12, 4, 16, 8) #vector of areas\nlbls <- c(\"US\", \"UK\", \"Australia\", \"Germany\", \"France\") #vector of labels\npie(slices, labels = lbls, main = \"Simple Pie Chart\") #create pie chart\n#chart 2\npct <- round(slices/sum(slices) * 100) #calculate percentages\nlbls2 <- paste(lbls, \" \", pct, \"%\", spe = \"\") #add percentages to the labels\npie(slices, labels = lbls2, col = rainbow(length(lbls2)), main = \"Pie Chart with Percentages\") #create pie chart\n#chart 3\nlibrary(plotrix) #load the plotrix package\npie3D(slices, labels = lbls, explode = 0.1, main = \"3D Pie Chart\")",
"execution_count": 9
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#add a pie chart created from a table:\npar(mfrow = c(2,2)) #creates a matrix of 2 rows x 2 cols filled in by row\n#chart 1\nslices <- c(10, 12, 4, 16, 8) #vector of areas\nlbls <- c(\"US\", \"UK\", \"Australia\", \"Germany\", \"France\") #vector of labels\npie(slices, labels = lbls, main = \"Simple Pie Chart\") #create pie chart\n#chart 2\npct <- round(slices/sum(slices) * 100) #calculate percentages\nlbls2 <- paste(lbls, \" \", pct, \"%\", spe = \"\") #add percentages to the labels\npie(slices, labels = lbls2, col = rainbow(length(lbls2)), main = \"Pie Chart with Percentages\") #create pie chart\n#chart 3\nlibrary(plotrix) #load the plotrix package\npie3D(slices, labels = lbls, explode = 0.1, main = \"3D Pie Chart\")\n#chart 4\nmytable <- table(state.region) #creates a table from the region column of the state dataset\nlbls3 <- paste(names(mytable), \"\\n\", mytable, sep = \"\") #creates the labels vector\npie(mytable, labels = lbls3, main = \"Pie Chart from a Table\\n (with sample sizes)\") #create pie chart",
"execution_count": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": "## Fan plots"
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#fan plots are created using the fan.plot() function of the plotrix package\nlibrary(plotrix) #load the plotrix package\nslices <- c(10, 12, 4, 16, 8) #vector of sizes\nlbls <- c(\"US\", \"UK\", \"Australia\", \"Germany\", \"France\") #vector of labels\nfan.plot(slices, labels = lbls, main = \"Fan Plot\")",
"execution_count": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": "## Histograms"
},
{
"outputs": [],
"cell_type": "code",
"metadata": {
"collapsed": true
},
"source": "#histograms display the distribution of a continuous variable (unlike bar plots and pie charts which display categorical variables)\n#by dividing the range of scores into a specified number of bins on the x-axis and displaying the frequency of scores in each bin\n#on the y-axis. You create histograms with the function hist(x), where x is a numeric vector of values\n#the option \"freq = FALSE\" crates a plot based on probability densities rather than frequencies\n#the \"breaks\" option controls the number of bins. The default produces equally spaced breaks when defining the cells of the histogram",
"execution_count": 12
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#here is an example of four variations of a histogram (chart 1 only):\npar(mfrow = c(2, 2)) #creates a matrix of 2 rows x 2 cols filled in by row\n#chart 1\nhist(mtcars$mpg) #simple histogram",
"execution_count": 22
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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fvBXeYKBxygn4n3/+uXItghAiMTFx9uzZ8uNOnTqJin4eK/wpVv4TLDs7O+T/pKenJyQkJCQkyD00adJE7lw5ce3HH38s18s33yOejevVqyfviJIPDrRu3bp69eryDsJvvvlG/vMbMwu78v5PXQVcvXr1ueeeS09Pr1KlysaNG8eNG2f+/4AZp8F//etf8gPl+pIKMH/LsSkV9xbqgCWHYuWraQIDAxcuXLhr164ZM2bI5zS0bdtWmUfewevo6HjkyBH5OqNt27bJ/Xh5eS1atGjBggWenp5yi3K2rHKj+dq1a3/55ZcxMTHyCZ7GAZQYufJvMM8///yaNWvmzp3r6+srtyi3CKqsnf/mvBBz+rEkpOLD+/PPP8uzeXt7z58/f+3atc2bN5db1q9fX7HxkZX5dit3ilq1apUQIjc3d9q0aXJLdHR0hV+mMo8QYvjw4f/5z3+Ua+tcXV3T09Ml8zYY2CnlfhxVqlSJiIgYP378888/r5zj9fLLL8uzmfN5LL69VWwpSZJyc3PlH1Gurq6LFi06fvz4nDlzlNtYyIfV1q1bJy/o4eExc+bMqVOnKntlKv1Q7COejSWjC6rE/931UL7vkszHx8f4tOMS11J8fKx0KFa56CEsLOyj/1VaP0XSoPHNAWrWrClfYFuxQ7HmbDm2R9a2iCWF3erVq0UxBoNBPnFYplQVwujOSaNHjy6+4GuvvaYslZ+fb3xGp/yxVDKOiciLH69p0aKFnG3d3d3l83MrMZWU+ULM7KfCIRUf3sLCwqFDhxaPavjw4YWFhRUbH1mZb/f69evlRvk/eZRDOTVq1JCve7CwsFPu2yKrWrXqt99+K89jzgYDO5WTk/PSSy8V3/aEEBEREXfv3lXmLPPzWOL2VrGlJEnavn27i4tLkQVr166tnJxUUFCgXHYqK371QHEVK+zIxspuUfF/F/Aa39Bu6NChZQ5y8fGxUmFn4shpaf0okRTZkVytWjXljnQVK+zM2XJsj6xtEUsKO0mSduzY0adPn8cee6x69er+/v49evTYvXu38QxHjx5t166ds7Ozr6/vmjVrlPbly5dHRER4e3vXqVPn2WefXblyZZG15+TkTJgwISQkpFatWj179rx06ZL8+1iYTCWFhYWLFy9u1qyZfH/tDz/8MDc3V7kL+fz580tc0JJPb5kvxJx+KhxSicNbWFi4dOnSrl27+vj41KxZs3379osXL5Z/rVZsfBRlvt2ffvppkZNww8LCfv31V0tepjJPRkbG6NGjGzVq5OXl1bt3b6VbWZkbDOxXYWHhTz/91Lt3b29v7+rVqwcHB/fp02ft2rXFL5U1/Xksbduu2FKSJJ0/f37QoEGPP/64k5NT48aN33zzTfle3IqHDx9OmzatadOmtWrVevbZZ43PWyjtxVassJMe+Wx89+5duWoURhfntm/fXm5ZunRpmYNcfHysVNgZ7/IsorR+lEgyMzOjoqLq1avn7e3dp08f4/skV6ywk8zYcmzPIBmdJA59OHr0qPy2hoaGyr+Jc3NzPT0979+/7+HhcfPmTbUDRKkuXrz4448/Tp48+ZtvvmnZsmV4eLj5p4+UKCQk5OzZs0IIE590NhjASvhwwfa4eEKHBg4c2KZNmzZt2gwfPvzy5cupqanR0dH3798XQigXzEObGjZs2L9/fyHE8OHDmzVrZmFVZyY2GMBK+HDB9thjp0Pff/+9cmaosRo1auzfv1+59w+06dq1a7GxsbNmzaqU3szZY8cGA1gJHy7YHnvsdGjo0KHbtm1r166dcu2bi4vLX//61wMHDpBHtM/Hx6eyqjozscEAVsKHC7bHHjs9KygoSE1NdXZ2rl27tm0O6sGuscEAVsKHCzZDYQcAAKATHIoFAADQCQo7AAAAnaCwAwAA0AkKOwAAAJ2gsAMAANAJCjsAAACdoLADAADQCQo7AAAAnaCwAwAA0AkKOwAAAJ2gsAMAANAJCjsAAACdoLADAADQCQo7AAAAnaCwAwAA0AkKOwAAAJ2gsAMAANAJCjsAAACdoLADAADQCQo7AAAAnaCwAwAA0AkKOwAAAJ2gsAMAANAJCjsAAACdoLADAADQCQo7AAAAnaCwAwAA0AktFnY5OTmpqamSJBk33rx5Mzk5Wa2QAAAAtE9bhV1ubu6YMWPc3NwCAgLCw8NPnjypTFqyZEloaKiKsQEAAGictgq7Tz/9dOXKlfHx8Wlpaf3794+IiEhPT1c7KAAAAPugrcJuyZIlkyZN6tKli6+vb0xMzF/+8peJEyeqHRQAAIB90FZhl56eXrduXeVpbGzsunXrTpw4oWJIAAAA9kJbhV2TJk02b96sPPXx8XnnnXeGDh364MEDFaMCgMplMBiefPLJP//8U+1AAOiNtgq7qKioJUuWDB48OC4uTm559913JUnq0aPH0aNH1Y0NACrR9evXW7RosX79erUDAaArhiJ3FVGXJEnTpk2bOXNmYGCgcnOT9PT0F198ce/evfIMqgYIAJXAYDB8+eWXDRo0GDFiRMeOHWfOnBkUFKR2UAD0QFuFnSw/Pz8zM9PX11dpkSTp5MmTZ86ciYqKMqeHlJSUa9eulTb19u3bzzzzjIODtvZWlteFCxeysrLUjqIM7u7uwcHBakcBaI5c2L355pspKSljx47dvHnzsGHDXn/99RYtWpSrH93kujNnzuTk5FjYiY+Pj/FZ2sCjSYuFneWaNWt26tQpEzPMmzfv9ddft1k8le7u3bu1atUqKChQO5AyODg4ZGZmenh4qB0IoC1KYSc/3bJly8SJE8+cOdOyZcvIyMiuXbs+++yz5vSjj1x38uTJ5s2bW95PvXr1Ll++bHk/gF2rqnYAVnHo0KH79++XNjUwMLBevXq2jKfSPXz4sKCgYPfu3WFhYWrHUqrff/+9ffv2eXl5agcCaF2PHj0iIyO3bds2d+7cL774IjY21syf3PrIdfK+ulQhnCzo5Cch3rN4nx+gA/os7BwdHR0dHUubajAYbBmM9bi7u2t5Z5i7u7vaIQB2w2AwdO/evXv37vfu3UtISDBzKT3lulpCOFuwuEulBQLYN20VdmX+G2xISIhtIgEAVbi4uPTt21ftKADYK20VdkOGDDF9WxNdnhEI4FFDKgNgJdq6WurIkSPTp08XQpw+fVoqidoBAgAAaJe2CjshxLhx46pW1dZ+RAAAALugucLOyclp4sSJWr4mAAAAQJu0uG8sNjZW7RAAAADsj+b22AEAAKBiKOwAAAB0gsIOAABAJyjsAAAAdILCDgAAQCco7AAAAHSCwg4AAEAnKOwAAAB0gsIOAABAJyjsAAAAdILCDgAAQCco7AAAAHSCwg4AAEAnKOwAAAB0gsIOAABAJyjsAAAAdILCDgAAQCco7AAAAHSCwg4A1Jebm3v16lVJktQOBIB9025hd/fu3YsXL2ZlZZHpAOjMvXv3hg8f/tNPPwkhsrOzX375ZVdX17p163p5ec2ePZukB6DCNFfYHTp06IUXXqhZs6abm1tQUJCHh4erq+uAAQP27dundmgAUDkmTJgQHx/ftGlTIcT48eMTExOPHDly+/btr776atKkSd9++63aAQKwV9oq7DZv3ty+fXsPD49Nmzalp6fn5uamp6dv377dz8+vS5cu8fHxagcIAJVgzZo1b775ZlBQUG5u7tKlSxctWtSsWTN3d/chQ4a8+eabX331ldoBArBXVdUO4H9MnTp11KhRCxYsUFp8fHx8fHzat2/v4uLyj3/8o3v37iqGBwCVQpIkPz8/IURmZmZ+fn5wcLAyKTw8fO7cuWb2069fv9OnT5c29f79+3/++aeFoQKwL9oq7JKTk998880SJ3Xu3HnevHk2jgcArOHpp5/evHnzkCFD/P39PTw8Tpw48dRTT8mTDh8+HBYWZmY/b7zxxoULF0qbOm7cOB8fn0oIF4D90FZhFxoaunv37qioqOKTdu/ebX6yAwAt++yzzzp06DBixIgxY8ZMmzbt1VdfXbJkScOGDVetWvXvf/975cqVZvYTERERERFR2tQJEyY4OjpWUsgA7IO2CruYmJhevXoVFhYOHz48ODi4Vq1aWVlZFy5cWLZs2fz589etW6d2gABQCRo1anTgwIFZs2b16NEjMzNTCNGyZcsqVap07tx5/fr13bp1UztAAPZKW4Vdjx499u/fP3369MjIyLt378qNzs7OPXv23LFjx9NPP61ueABQWYKCgubMmTNnzpwHDx5cu3bN2dnZ29vbwUFbF7QBsDvaKuyEEO3atVuzZo0QIjs7OzMz09PTs2bNmgaDoVydTJs2LSkpqbSpOTk58k9kAFCds7Nz/fr11Y4CgE5orrBTuLu7u7u7V3hZDw+P0qYaDIYqVapUNC4AAACN0m5hZ4kJEyaYmLp8+XITZR8AAICd4nwOAAAAndDWHrvk5GTTM4SEhNgmEgAAALujrcJuyJAhR48eNTED/40NAABQGm0dij1y5Mj06dOFEKdPn5ZKonaAAAAA2qWtwk4IMW7cuKpVtbUfEQAAwC5orrBzcnKaOHEiV60CAACUlxb3jcXGxqodAgAAgP3R3B47AAAAVAyFHQAAgE5Q2AEAAOgEhR0AAIBOUNgBAADoBIUdAACATlDYAQAA6ASFHQAAgE5Q2AEAAOgEhR0AAIBOUNgBAADoBIUdAACATlDYAQAA6ASFHQCoTJKk9PT0O3fuqB0IALtHYQcAttavX7+ff/5ZCCFJ0rx583x9ff38/Nzd3Zs2bbplyxa1owNgxyjsAMDW1q1bd+HCBSHEokWLJk+ePGPGjOvXr1+7du21117r16/frl271A4QgL2qqnYAAPDomj179ieffPK3v/1Nfvr6669fuHBh6tSpu3fvNmfx+fPnX7p0qbSpeXl5t2/frpxAHw1JSUmLFy+2sJOrV6/m5eU1aNDAwn5eeOGFNm3aWNgJHkEUdgCgmvPnz7dt29a4pU2bNosWLTJz8T/++OPixYulTS0sLMzNzbUovkfMhg0bFk6fHmFZJ/FCuAkhWdbJr0IUFBRQ2KECKOwAQDWNGzf+7bffjL+/f//997p165q5eGxsrImpbm5uderUsSi+R4wkSY2EWGlZJ+FChFjcSR/LFsejjHPsAEAFkydP7tSpU7Vq1SZOnHj16lUhxMOHD5cvX/7ZZ58999xzakcHwF5R2AGArW3duvXjjz8ODg52cHDIyck5d+6cEOKXX36Jiop6+umnP/roI7UDBGCvOBQLALbWvXv37t27y48LCwsLCwuFEKGhoUlJSSEhIaqGBsC+UdgBgJocHBwcHByEEAEBAWrHAsDucSgWAABAJ7RV2N27d2/w4MG1atXq1atXdnb2jBkzwsPD3dzcOnTosGPHDrWjAwAA0DRtFXb/+Mc/9u/fv27dOldX1+Dg4NjY2HHjxiUkJHTp0qV79+579+5VO0AAAADtMnWOXceOHQcNGjRgwABvb2/bRBMXFzdkyJDOnTs7OjrGxcUtWLBg1KhRQoh27dr98ccfMTExW7duNaefrKysmzdvljZVkiy8cyTK4fLly/fu3VM7ClNq1qxZu3ZttaOAmmyf6wDASkwVdk5OTuPGjRs3bly3bt0GDRrUr18/d3d3q0aTlpYWGhoqhGjSpIkQonXr1sqk7t27v/POO2b206lTp9OnT5uYQb65AKwqLS1NCNGuXTu1AymDm5tbdna22lFATbbPdQBgJaYKu23btmVmZq5bt27VqlUjR44cPXp0nz59Bg0a1KtXLycnJ2tE4+fnl5SUJIT47bffhBAZGRnKJAcHB/P3tO3atSsrK6u0qeHh4cHBwZZFirI9ePBACLF58+bHH39c7VhKdeDAgSFDhqgdBVRm+1wHAFZSxu1OvLy8Ro4cOXLkyFu3bq1fv37VqlUDBw50dnbu37//4MGDu3btWrVqZd4w5aWXXlq2bFm3bt3mzp3r4uKyZs2ayMhIedLWrVtbtmxpZj+enp6enp6lTTUYDJUQK8xTt27dhg0bqh1FqR8/Pd4AACAASURBVC5fvqx2CNAEG+c6ALASsy6ekCQpJSXl6tWr169fz8/Pf/DgwdGjRyMjIx9//PEDBw5UYjRTp05t3759nz59srOzjx8/HhcX989//vPgwYNTpkz54Ycfpk2bVonrAoAibJbrAMBKTBV2eXl5CQkJ48aNa9iwYXh4+PTp0xs0aLBixYrMzMzTp09funSpZcuWb7/9diVG4+Lisnz58tu3b2/ZsiU4OHjjxo2rVq3q2rVrQkJCfHz8U089VYnrAgCZ7XMdAFiJqYMLXl5ed+7cCQgI+Mtf/tKvX79nnnmmevXqytT69eu/++67PXv2tF5wHTp0OH78uPX6BwChgVwHAJXFVGH3xhtv9OvXr1WrVvLf3RQXHh5+5swZ6wQGADZCrgOgG6YOxf7zn/88ceLEM888I98T7pdffnnyySeXLFmiXJ3q5OTk6+trizABwGrIdQB0w1Rh980334wePdrR0dHR0VEIUa9evVq1av3tb39bsGCBrcIDAKsj1wHQDVOF3Zw5c1555ZVt27a5uLgIIRo0aLBp06ZXX3111qxZtgoPAKyOXAdAN0wVdufPn+/WrVuRxoiIiCtXrlgzJACwKXIdAN0wVdg98cQThw8fLtJ4+PBh+f++AEAfyHUAdMPUVbExMTG9e/d2dXUdPHiwv79/RkbGihUrvvjii1WrVtksPgCwNnIdAN0wtceue/fumzZt2rBhQ3BwsLOz82OPPbZs2bJVq1b17dvXZvEBgLWR6wDoRhn/fvjss88+++yzeXl5qampPj4+zs7OtgkLAGyJXAdAH8z6W+vq1avXr1/fypEAgMrIdQDsXRlXxT755JNVq1Y1FGOz+ADA2sh1AHTD1B67sWPH3rhxY+vWrQEBATYLCABsjFwHQDdMFXZ79+5dtGhRRESEzaIBANvTSK7z9fXds2dPcHCwumEAsGumCjs/Pz93d3ebhQIAqrB9rktOTi7eeO3atXPnzhUUFAghQkJCbBkPAN0wVdj1799/7dq1PXv2tFk0AGB7ts91bdu2vXPnTvH25557Tn4gSZI5/Zw9e9bE32MUFBQUFhZWLEIAdspUYTds2LCxY8eOGjVq8ODBfn5+xucR82sSgG7YPtcdPnz4hRdecHJyWrVqlXIdrsFgSEpKKtcao6Kijh49amKGS5cuWRInALtjqrALCwsTQuzates///lPkUlm/poEAO2zfa5r3LjxwYMHo6OjW7VqtXz58sjIyIr1c+TIERNT3dzcgoKCKtYzADtl6nYnUulsFh8AWJsquc7FxWXZsmUffvhh3759P/74Y46ZAqgUpgo7IURiYuJLL73k7+/v5OSUnJw8ZcqUvXv32iYyALAZVXKdwWB44403du7c+fXXX/fr18/aqwPwKDBV2B07dqxdu3abN29u3bp1bm6uEOLAgQNdunTZvXu3rcIDAKtTN9d16NDh2LFj9+/fd3R05JbIACxkqrCbPHlyrVq1zpw5s379erllxYoVoaGhMTExNokNAGxB9VxXp06dhISEnJycxo0b22aNAPTKVGG3b9++d955p169ekqLt7f3sGHDTF+EBQD2hVwHQDdMFXZubm5+fn5FGn18fJycnKwZEgDYFLkOgG6YKuyefPLJjRs3FmncvHlzu3btrBkSANgUuQ6Abpi6j93MmTNbtGjx2muvDR48WAiRmJi4ePHidevWHT9+3FbhAYDVkesA6IapPXb16tVLTEwsLCyMjo52cnJ67733UlJSTp8+zX9UA9ATch0A3TC1x04I4efnN3/+fNuEAgBqIdcB0IcyblCsutzc3KtXr/JfFwAAAGUyVdgZSmelaO7duzd8+PCffvpJCJGdnf3yyy+7urrWrVvXy8tr9uzZlHcArMH2uQ4ArMTUodikpCTlsSRJqampP/zww5EjR5YsWWKlaCZMmBAfHz9lyhQhxPjx4xMTE48cOdKgQYP169dHR0e7urqOGDHCSqsG8Miyfa4DACsxVdiFhIQYPw0NDY2IiBg1atQ333zz5ZdfWiOaNWvWvPPOO0FBQbm5uUuXLj18+HCzZs2EEEOGDDlz5sxXX31lZmH35ZdfJicnlzY1Nzc3KyvLxOKffPLJ5cuXyxu8Lcn/evTgwQO1AwH0wPa5DgCspIyLJ4p7/vnnx48fb6VkJ0mSfJvQzMzM/Px840vSwsPD586da2Y/t27dunXrlom15Ofnm1g8Jiambdu2vr6+Zq7O9u7duyeEuHLlSvv27dWOBdAnq+Y6ALCSchd2d+7cuXbtmjVCEUI8/fTTmzdvHjJkiL+/v4eHx4kTJ5566il50uHDh8PCwszsx/Q/PLq5uXl5eZnu4f3334+MjDRzdbZ36dKlhg0bqh0FoGdWzXUAYCWmCrviRzPT09M//PDDDh06WCmazz77rEOHDiNGjBgzZsy0adNeffXVJUuWNGzYcNWqVf/+979XrlxppfUCeJTZPtcBgJWYKuxCQ0OLtDg4OLRq1WrOnDlWiqZRo0YHDhyYNWtWjx49MjMzhRAtW7asUqVK586d169f361bNyutF8CjzPa5DgCsxFRhp8rtRYKCgubMmTNnzpwHDx5cu3bN2dnZ29vbwUHr99sDYL+4lRIA3SjfodjiilxNVomcnZ3r169vpc4BQKFurgOASlS+Q7HF8UsXgL0j1wHQDVOF3dmzZ59++ukuXboMHTo0ICAgNTV1yZIl27Zti4uLCwgIsFmIAGBV5DoAumGqsBs7dmzPnj0XL14sP23RokWvXr2GDRs2c+bMTZs22SQ8ALA6ch0A3TB1UcLBgwe7d+9u3GIwGCIjI/ft22flqADAdsh1AHTDVGEXFBS0d+/eIo179+4NDAy0ZkgAYFPkOgC6YepQ7Pvvvz9gwAB3d/fo6OiAgICrV68uXLjw66+/Xrhwoc3iAwBrI9cB0A1Te+xeeOGF9evXb9++PTg42NnZuVGjRmvXrl28ePGoUaNsFh8AWJtaue727dtZWVlCiPz8/JEjR7q5uYWEhFBNArBEGf8V27t37969e+fl5aWmpnp7e7u4uNgmLACwJRvnuszMzCFDhmzdutVgMPTq1atXr16JiYmbNm06f/782LFja9eu/fzzz1s1AAB6VcY/OiQmJr700kv169cPCQm5cuXKlClTip+JAgD2zsa57u9//3tKSkpSUlJqampBQcG4ceO++OKLjh07Dh8+/PXXX581a5b1Vg1A30ztsTt27FjHjh0dHBy6dOny888/CyEOHDgwY8aMhISETp062SpCALAu2+e6TZs2/fOf/5T/zWL06NFbtmwJDw+XJ7Vq1erbb781s5+IiIjjx4+XNvXevXt//PGHxcHah7NCZGZmenp6WtJJTk5O08oKCFCJqcJu8uTJtWrV2r9/f7169QwGgxBixYoVzz77bExMTEJCgq0iBADrsn2uk0+tkzVo0CAgIMDV1VV+mpOTY34/sbGxly9fLm3qsGHD6tatW+Eg7csNIdwKC+ffumVJJ7GVFQ2gHlOF3b59+2JiYurVq6e0eHt7Dxs27OOPP7Z+YABgI7bPdY0bN/7uu+8GDx5cvXr15s2bp6SkyO2SJG3YsKFZs2Zm9tO2bdu2bduWNnXEiBFVq5ZxIrWeOAkxwLIevhMis1JCAdRj6hw7Nzc3Pz+/Io0+Pj5OTk7WDAkAbMr2uW7atGm//PJLYGDgp59+qjSePHmyd+/eq1evHjDAwvoEwKPLVGH35JNPbty4sUjj5s2b27VrZ82QAMCmbJ/r+vbtu3///j59+jg4/P8kfPLkyczMzDlz5rzyyitWWi8A3TO1l37mzJktWrR47bXXBg8eLIRITExcvHjxunXrTJyrCwB2R5Vc1759+/bt2xu3DB06dNiwYdZbI4BHgak9dvXq1UtMTCwsLIyOjnZycnrvvfdSUlJOnz4dHBxss/gAwNo0kuvk6zYAwBJlnFfr5+c3f/5824QCAGoh1wHQhzJuUAwAAAB7Yaqw8/X1nTFjhs1CAQBVkOsA6Iapwq5bt247d+6UJMlm0QCA7ZHrAOiGqcJu4sSJeXl5L7744oYNGxITE5ON2Cw+ALA2ch0A3TB18UTz5s3lB2vWrCkyiZ+2AHSDXAdAN0wVdmQ0AI8Cch0A3SjhUKzBYFi6dKnyNDk5OTc314YhAYAtkOsA6E/ZtzsJDQ29dOmSDUIBABWR6wDoAPexAwAA0AkKOwAAAJ2wg8LO19f33LlzakcBAACgdWX8V6yNlXjXqGvXrp07d66goEAIERISYvOgAAAA7IO2Cru2bdveuXOnePtzzz0nPzDzrgR5eXn37t0rbSq3NoDduXPnTn5+vtpRlMHNza1qVW2lFAB41JSchYcOHTp06FDlaWhoaJEZrFQbHT58+IUXXnByclq1alX9+vXlRoPBkJSUVK59dW3atDl16pSJGc6fP29JnIAtxcfHR0ZGqh1F2bp06bJjxw61oygftXIdAFhJCYWdiomscePGBw8ejI6ObtWq1fLlyyv8ZbZhw4aMjIzSpnbq1CkoKKiiMQK2dvPmzdq1a2/dulXtQExZsWLF9u3b1Y6ifCjaAOiP5o6buLi4LFu2bO7cuX379p0yZcrkyZMr0ElgYGBgYGBpUx0cHAwGgwUxArZWrVq1Vq1aqR2FKXv27FE7BACA9go7IYTBYHjjjTdat249YMCAQ4cOqR0OAACAfdDu7U46dOhw7Nix+/fvOzo6soMNAACgTFrcY6eoU6dOQkKC2lEAAADYB+3usQMAAEC5UNgBgDpycnJSU1OLXJx78+bNEm/VDgDmoLADAFvLzc0dM2aMm5tbQEBAeHj4yZMnlUlLliwpfjs9ADAThR0A2Nqnn366cuXK+Pj4tLS0/v37R0REpKenqx0UAD3Q9MUTAKBLS5YsmTRpUpcuXYQQMTExKSkpEydOXLp0aXn7+eyzz0z8j05ubu7NmzdNLB4TE3P16tXyrrQIJyenTz/91NnZ2cJ+YCxNiD/j47Ozsy3p5LfffvPz8/Pw8LCkkypVqkyZMsXf39+STix3586dyZMn5+XlWdLJvXv3zp8/36xZMwuDadWq1ejRoy3sxHoo7ADA1tLT0+vWras8jY2NbdSo0YkTJ5o3b16ufh48eHDr1q3SpkqSZPrfNT755JO2ubm+5Vrl/8oR4mchXnvttXL96yPKlCJErVOnbpn8b8wy7RciXIhGlkWyVoiePXuqXtidO3du7ty5/YSoZkEnp4W4KES9gwctikSIQ82bU9gBAP6/Jk2abN68eeDAgfJTHx+fd955Z+jQoeW9JfvUqVNNTHVzc6tdu7bpHt4XwpL/IU4Xws+CxWFCHyE+s6wHZyFGCDHWsk7cLVu8ci22LJ73hFggxErLYpglxGLLerA2zrEDAFuLiopasmTJ4MGD4+Li5JZ3331XkqQePXocPXpU3dgA2DUKOwCwtfHjx3/wwQfr1q374IMP5BYnJ6eEhISCgoIKnGkHAAoKOwCwNYPBEBMTc/v27V27dimNvr6+e/bsOX78OLUdgArjHDsAUEfVqlV9ff/n0gWDwdC8efPyXkIBAAr22AEAAOgEhR0AAIBOUNgBAADoBIUdAACATlDYAQAA6ASFHQAAgE5Q2AEAAOgEhR0AAIBOUNgBAADoBIUdAACATlDYAQAA6ASFHQAAgE5Q2AEAAOgEhR0AAIBOUNgBAADoBIUdAACATmixsMvJyUlNTZUkybjx5s2bycnJaoUEAACgfdoq7HJzc8eMGePm5hYQEBAeHn7y5Ell0pIlS0JDQ1WMDQAAQOO0Vdh9+umnK1eujI+PT0tL69+/f0RERHp6utpBAQAA2IeqagfwP5YsWTJp0qQuXboIIWJiYlJSUiZOnLh06dLy9vPNN9/8/vvvpU3Ny8u7c+eORYFCL+7fvy9J0nvvvad2IKYkJSU9ePBA7SgAAHZAW4Vdenp63bp1laexsbGNGjU6ceJE8+bNy9XPiRMnkpKSSptaUFBw7969ikcJHTl37pwQ4ujRo2oHYsrZs2f5KQIAMIe2CrsmTZps3rx54MCB8lMfH5933nln6NChhw4dKlc/s2fPNjHVzc3N19e34lFCR+RrdLZt26Z2IKaMGzdu3rx5akcBALAD2jrHLioqasmSJYMHD46Li5Nb3n33XUmSevToofF9KgAAAKrTVmE3fvz4Dz74YN26dR988IHc4uTklJCQUFBQUIEz7QAAAB4p2joUazAYYmJipk6dmpmZqTT6+vru2bPn5MmTZ86cUTE2AKgsZd6VMyQkxJx+jh49evHixdKm5ufn5+fnly+yCtm/f39KSkqFF+cepVpWKMTJkyednZ0t6aRatWqdOnUyGAyVFRVM0FZhJ6tatWqRc+AMBkPz5s3LewkFAGjTkCFDTJ9eUuQO7aWZMGHCqVOnSpuam5t75cqVcgdXHjeFEEK8OWJEFQs6ya2cWGAV94WY/sEH1SzoQRIiS4gzZ840adKk0sJC6bRY2AGAvh05cmTGjBmTJk06ffp0WFhYhfvZtWuXialubm4NGjSocOfmkPcHHhTCrB2MpfhGiJGVEw6sYrkQfSxY/KYQtYWwzc5jCK2dYwcAj4hx48ZVrcpPawCVjMIOAFTg5OQ0ceJEDw8PtQMBoCv8XgQAdcTGxqodAgC9YY8dAACATlDYAQAA6ASFHQAAgE5Q2AEAAOgEhR0AAIBOUNgBAADoBIUdAACATlDYAQAA6ASFHQAAgE5Q2AEAAOgEhR0AAIBOUNgBAADoBIUdAACATlDYAQAA6ASFHQAAgE5Q2AEAAOgEhR0AAIBOUNgBAADoBIUdAACATlDYAQAA6ASFHQAAgE5Q2AEAAOiEdgu7u3fvXrx4MSsrS5IktWMBAGsh1wGoRJor7A4dOvTCCy/UrFnTzc0tKCjIw8PD1dV1wIAB+/btUzs0AKg05DoA1qCtwm7z5s3t27f38PDYtGlTenp6bm5uenr69u3b/fz8unTpEh8fr3aAAFAJyHUArKSq2gH8j6lTp44aNWrBggVKi4+Pj4+PT/v27V1cXP7xj390795dxfAAoFKQ6wBYi6Qlrq6uS5cuLXHS5s2b3dzczOynTZs2pl/1vHnzTCzu4uJim8EH9KR169bl/sw/qsh1gP3SeK7T1h670NDQ3bt3R0VFFZ+0e/fusLAwM/v57rvvUlNTS5t69erVQYMGmVh83759GRkZZq5LLX/88Uf9+vXVjqIMly5datCggdpRmCJJ0pUrV+rVq6d2IKbk5+enp6fXrVtX7UDKoPH3WlP0lOssz0WSJP3555+PPfaYJZ1UysfkwYMH2dnZPj4+lnSSnZ2dn5/v6elpSSeZmZlOTk6urq6WdJKamlq7dm1HR0dLOvnzzz8DAgKqVKliSSeVspFcvnzZwk4KCgpSU1MDAwMt6URoPtcZJC1dh7Vly5ZevXqNHDly+PDhwcHBtWrVysrKunDhwrJly+bPn79u3bqePXuqHSMAWIpcB8BKtHXxRI8ePfbv33/jxo3IyMg6depUr169Tp06Xbt2TU1N3bFjB5kOgD6Q6wBYibb22BnLzs7OzMz09PSsWbOmwWBQOxwAsApyHYBKpN3CDgAAAOWirUOxAAAAqDAKOwAAAJ3Q1u1ONGL37t01atTQ+Mkuqamp/v7+akdRBu0HKUlSWlqaxoMsLCy8fv26hbdgsLa8vDwnJ6cWLVqoHQjKwS5ynezGjRuurq4W3rnDNu7du5efn1+zZk21Aylbfn7+zZs369Spo3YgZrl9+3bXrl3VjsIOcI5dCapUqVJYWKh2FICdqVWr1q1bt9SOAuVAroN9yc7OdnNzUzsKreNQbAmqVau2ZcsW9e4aXbabN28KIU6cOKF2IKb89ttvQoj09HS1AzFl586dQmP/v1LcihUrfH191Y6iDF9++aX275iNIrSf6xQdOnT45JNP1I7CLGPGjBkwYIDaUZhl0aJFQUFBakdhlqNHjwohJHZFmYHCDgAAQCco7AAAAHSCwg4AAEAnKOwAAAB0gsIOAABAJyjsAAAAdILCDgAAQCco7AAAAHSCvxQrQb169by9vdWOwhRnZ2d/f38PDw+1AzGlVq1afn5+Li4uagdiipeX12OPPaZ2FGXw8fEJDAxUO4oy+Pr6BgQEqB0Fykf7uU7h7+/v5+endhRm8fPzq1KlitpRmMXX17du3bpqR2EWT09Pf39/u/hPOdXxl2IAAAA6waFYAAAAnaCwAwAA0AkKOwAAAJ2gsAMAANAJCjsAAACdoLADAADQCQo7AAAAnaCwAwAA0AkKOwAAAJ2gsAMAANAJCjsAAACdoLADAADQCQo7AAAAnaCw+6/WrVsnJycXady6dWu7du3c3NzatGmzZcsWVQIzVjzIrVu3Gv5Xv379bB+YJElfffVV27ZtXVxcGjVq9NFHH+Xm5hoHqYVhNBGkRoZRCLF+/frWrVu7uroGBga+8sormZmZxlM1MpImgtTOSKI0dpHrZJrNeAq7SH0yu0iAMrtIg1pWVe0A1JeTkzNnzpyjR48WaT948GDPnj1HjRr1xhtv/PLLL7169Tpw4EDbtm01FeSZM2ecnZ0/+eQTpSUoKMi2oQkhxLRp0z766KOhQ4e+/fbbV65cmTFjxrVr1+bOnSu0NIwmgtTIMB48eLBv376dO3eeM2eOJEkzZ84cOnTo5s2blalaGEnTQWpkJFEiu8h1Mo1nPIVdpL4yQ9XUqNpFGtQ66dH23nvvVatWTR6KpKQk40n9+/cfNWqU8nTEiBHPP/+8zQOUJJNBjhgxomPHjqpEpXj48GGNGjUGDRqktGzfvr1atWoPHjyQNDOMpoPUwjBKkjRq1Kg6derk5ubKT5OSkoQQWVlZ8lONjKTpIDUykijOLnKdTOMZT2EXqU9mFwlQZhdpUOMe9UOxY8eOPXbs2OnTp4tP2rZt2/Dhw5Wnw4cPT0hIsGFo/5+JIBMTEx88eNCiRYsaNWqEh4cvWrRIkiQbh5eZmRkYGNi/f3+l5Yknnnj48OHNmzeFZobRdJBaGEYhRHBw8FtvvVW9enX5aa1atQwGgxKJRkbSdJAaGUkUZxe5TqbxjKewi9Qns4sEKLOLNKh16tWU2iL+96fh7du3hRAZGRlKS3p6uhDizp07akT3X0WCLCgocHV19fLy+vbbbw8dOjR79mw3N7e5c+eqGKFs6tSpTzzxRGFhoTaHUaYEqcFhPHHixNq1a3v06PHcc8/JLRocyeJBanAkUZxd5DqZvWQ8hV2kPpmWE6DMLtKgNlHY/VeRDHLhwgUhRF5entIin2d64cIFNaL7ryJBPnz4cOfOnSkpKUrLd999V6dOncLCQjWikyRJSk9PHz58uKen5/HjxyWtDmORIDU4jAEBAUIIBweHf/3rX/n5+ZImR7J4kBocSRRnF7lOpv2Mp7CL1CfTfgKU2UUa1CYKu/8qkkFu3bpV4i+DW7duqRHdf4liZ5wUcf36dSFEWlqazUJS5OTkxMTEuLq6RkVFKQFobRhLDLI4FYdRJv/i37NnT5s2bUaMGCFpbyRLDLI41UcSxdlFrpNpOeMp7CL1yewlAcrsIg1qE4XdfxXJIIWFhc7OzgcOHFBa9u/fX6NGDXV/xBQJMiUlZdu2bcY/XzIyMoQQ2dnZNg4sLS0tLCwsLCxM/gmo0NQwlhakRoaxsLBw8eLFJ06cMG7cvXu3q6urpJmRNB2kRkYSptlFrpNpNuMp7CL1yTSeAGV2kQa171G/eKI0BoOhZ8+ey5YtU1qWL1/es2dPg8GgYlRF3Llzp1u3bnFxcUrLqlWrnnjiCTc3N1uGIUnSgAEDPD09Dx061Lx5c+NJ2hlGE0FqZBgNBsO8efMmT54sGZ22fP78efl4hEZG0nSQGhlJlItGNi1zaG0Ds4vUJ9N+ApTZRRrUPu5jV6q33nqra9eubm5uHTt23L179/z583fu3Kl2UP8jJCSkR48er7zyysWLF4ODgw8fPjx37tyffvrJxmGcOnXq119/HTJkyPz5843bhw0b5unpqZFhNBGkRoZRCDFkyJBx48b99a9/7d27t6Oj49GjR+fNm/fll1/KUzUykiaC1M5Iolw0smmVSWsbmF2kvjJD1dqo2kUa1DoV9xZqiijpZI5NmzbJd7hu3779li1bVAnMWPEgc3JyJk6cGBoa6ubm9tRTT+3YscP2US1durTETUsJVQvDaDpILQyjJEmFhYX/+te/unTpUrt2bU9Pz6eeemrVqlXGM2hhJE0HqZGRhAl2ketk2sx4CrtIfeaEqqlRtYs0qHH///YwAAAAsGucYwcAAKATFHYAAAA6QWEHAACgExR2AAAAOkFhBwAAoBMUdgAAADpBYQcAAKATFHYAAAA6QWEHAACgExR2AAAAOkFhBwAAoBMUdgAAADpBYQcAAKATFHYAAAA6QWEHAACgExR2AAAAOkFhBwAAoBMUdgAAADpBYQcAAKATFHYAAAA6QWEHAACgExR2AAAAOkFhBwAAoBMUdgAAADpBYQcAAKATFHYAAAA6QWEHnTAYDGqHAACAyijsUPkWLVqUlZVls9UlJydPnz5dCDF9+vTff//dZusFYI8MBkO1atUyMzOLtBcWFtatW9dgMCQnJytzlvhYI86dOzdixIgmTZrUqFEjICAgIiJizZo1hYWF5iyr8ZcGS1DYofJFR0enp6fbZl3ffvtteHj4xo0bhRDHjh1r0aLFkiVLbLNqAHYqPz8/Li6uSOOePXuuXr1q3DJp0iRPT08bxlUOy5cvDw0N3b9/f/fu3b/44os33nhDCPHCCy+8+uqrkiSpHR3UZGALQKUzGAxJSUkhISHWXlF+fr6Hh8eKFSt69+5tMBgkSfrpp5+GDh1669atqlWrWnvtAOyRwWBo2bKls7Pzr7/+atz+yiuvHDly5NixYyWmL5ulNXMkJiY2b9588uTJU6ZMqV69utK+fPnyqKioISCt6gAAEgJJREFUH3/88aWXXjLdg/HL0dRLg+XYYwdzGQyGAwcOvPTSS7Vr1w4LC9uwYUNycnKXLl3c3d2Dg4PXrVunzCaECA0NNT7pbdu2bU8++aSbm1vLli2/+eYbuTE1NTU6Ojo4ONjJycnf33/QoEGXL19WOjl58uSwYcN8fX3llvPnzz///PPe3t7u7u5du3Y9ceKEECI9Pf3u3budOnVSVvTcc8/FxsY+ePDA/ICTk5MNBsOff/7Zu3dvDw+Pli1brlixwviFr169ulWrVp6engMGDNi/fz8n8wH2Lioqau/evZcuXVJa8vLy4uLioqKijGczcYzyypUrAwcODAwMrFmzZs+ePY8fP158njJzS2mdFE+ARcTExPTs2fMf//iHcVUnhBg8ePCIESP27dsnPzWRY0348ccfW7Vq5ebm1rp16x9//NF4NM6cOfPee+81btzY3d29Z8+e58+fL7M3qEACzCOECAkJ+fzzz7du3dqnTx9nZ+e6devKT3v37u3m5pabmytJkpwrExISLl26JC+4bdu2atWqvfvuu3FxcaNHjxZCLFiwID8/v1GjRm5ubu+8886KFSs+//zzli1btm/fXllX165dIyMjP/30U0mSCgsLg4ODu3btOm/evEWLFvXo0SMwMLCgoKCgoMDLy2vQoEHySisWcFJSkhAiODh4zJgxS5cuHTVqlBBi9erVcicbN26sUqXKhAkTfvjhhxEjRtSrV49PDWDXhBCnTp3y9vb++OOPlcb169cbDIaUlBQhRFJSkjJniY/T0tI8PT2joqJWrFjxxRdf+Pn5ubi4JCYmFlmR6dxiopMiCbCIhw8f1qhRY8eOHaZfZpk5tsSXtnLlSoPBMH78+B9//HH8+PEGgyEuLk6Z7Zlnnhk5cuTGjRuXL18eHBzcoUOHMkcbtsdXFMwlhJg9e7b8+Nq1a8ZP5TPqzp07p8yppAlJktq3b//RRx8pTyMiIjp27JiRkdG5c+dvv/1WaT9y5IiDg4PSQ//+/QsLC+WnV65cEUKkpaXJT+/evTty5Mhbt25JkrR169aaNWs6ODgIISZMmPD777+XN2A5+U6ePFlZ8O23327RooX8uE2bNh9++KEySf5BX+6xA6AZcoIaO3ZsSEiIkmQGDhzYtWtXqfSKx/jxK6+8Ip/KJvvjjz9cXFwGDBhQZEWmc4uJTookwCLk6jMjI6PIuoxJklRmji3xpYWFhU2dOlVZ5IMPPggPD1dmGzlypDIpISGhSpUqJUYIdfEVBXMJIU6ePGniaYlpIjc318HB4cKFC8qcd+/evXHjhnHPWVlZO3fuHDx4sFIzCSF+/vlnZYbc3Fx/f/+IiIiff/759u3bRQK7d+/e4sWLhRDyac7ff/99uQKWk+/58+eVSUlJSQaDIScnJycnx2AwGAe/YcMGCjvArsmf/f379wshjh49KknSnTt3nJ2d//Of/0jmFXaNGzf+5ZdfjPvs06ePn59fkRWZyC2mOymSAIu4fv26EOLq1atFXpSJY3El5tjiL+3+/ftCCOOMd+7cOSVgIcT27duLvLrSgoSKOMcO5VDkfI4iT0uUmppaWFjo7++vtLi4uMgVWGpq6uDBg+vXr//444//85//rFKlivGC9evXN17R7t27/fz8hgwZ4uHh0a1bt2PHjilTa9SoMWzYMCHExYsXo6Ojx4wZo1zwb37AAQEByuN69epJkpSeni7vIzQO3vgxAPvVrl27oKCgpUuXCiHWrVtXUFDw/PPPm7ns5cuXO3fubDDy888/37x5s8SZS8wtZXZinACL8PLy8vHxOXnypHGj8qV+4MABpdF0ji1OPrJhnOUCAgIkSUpLS5Of+vn5me4BWkBhB+vy8fERQmRkZCgtly5dkn+ndu3atVatWuvWrUtPT9+2bdvf//534wWLXNYaFBT0/fffZ2ZmHjhwwMvLKzIyMjc39+bNm1OnTlXmqVmz5ueff56dna2kIfMZ3+ZAPtJRp04dHx8fg8FgfOsWOfEBsHcGg0E+v62goGD58uW9e/euVauWmcsGBATExcUVOfopX9FVXIm5pcxOTF/X36lTpy+++EIq6aYW27dvlx+UmWOLk9N1amqq0iI/ltsF94G3ExR2sC5nZ+emTZsaXws2duzYv//97+np6WfPno2NjW3WrJmcLI4cOVJaJ9evX2/UqNHdu3erVq3apk2br776KjMz88aNG66urp9++ml2drYyZ2ZmpqurawV+Vn777bfK4/nz54eHhzs7O8vBf//998qkIhe1AbBfUVFR6enpK1eujI+PL3I9rGkdOnQ4evRoyP+pXbv22LFj5Z1/xZWYW8rbSRHTp0/fu3fvtGnTHj58aNy+c+fOjz76SH5crhwrc3Z2fuKJJ4xvBbp48eKwsDA5YNgL7vWFyufg4LBy5cpnnnlGvhHJRx999OKLL2ZlZbVq1WrHjh2bNm1avHhxnTp1fH19R40aNXDgwOrVq2/dunXNmjVCiE2bNkVGRhbp0MvLSwjx17/+dciQIVlZWStWrGjSpImfn5/BYPjrX//67rvvzpgxQwhx7969t99+e+jQofK1FOUye/bs7Ozs9u3b79y5c9GiRXIwQoiPP/64X79+d+7cad26dUJCgnIfAQD27vHHH2/Tps2YMWNq1KjRq1cv8xeMiYlp2rTpn3/+2atXr4yMjMWLF//2228ffvhhiTOXllvK1UkRDRo0+O6770aNGrVy5cpevXo9/vjjN2/e3Ldv365du6ZOnTp58mQhRLlyrGLq1KmDBg2SA96/f/9XX321cuVK80cGmqDGiX2wS+J/r3U18XTChAleXl7u7u7K1LVr17Zu3bpGjRqNGzf+97//LV/tdeTIkY4dO7q4uNSvX3/06NE3btzo27dvzZo17969W6RzSZJOnDjRuXNnV1fX2rVr9+/fXzm9Nysra+TIkY899pgQwt/f/+WXX5bP8zU/YPkU4OPHjz/99NNubm4tWrRQLu+XxcXFNW3a1NPTc+DAgbt27apZs6ZF4whAVcap4KuvvhJCjBgxosSppT2WJOns2bN9+vTx8fGpWbPmM888s3PnzuIrKjO3lNZJ8QRYoj/++CM6Orply5YuLi5NmzZ9+eWXk5OTCwsLPTw85BnMzLFFVrdixYoWLVq4uLi0aNFi5cqVJY6MxMUTGsY/T0An5H+eqMCCycnJoaGhpS177tw5f39/FxcX+Wl8fPzrr7/ObTkBlMl0bgGshHPsAFMGDRr03XffKU/j4+PDwsLUCwcAAFM4xw46YaWfxcOHD586daqzs3NYWFhCQsKsWbM2b95sjRUBAGA5Cjs86urVq7dnz57Spr722mt37979+OOPMzIynnjiibi4uG7dutkyPAB2ynRuAayEc+wAAAB0gnPsAAAAdILCDgAAQCco7AAAAHSCwg4AAEAnKOwAAAB0gsIOAABAJyjsAAAAdILCDgAAQCco7AAAAHSCwg4AAEAnKOwAAAB0gsIOAABAJyjsAAAAdILCDgAAQCco7AAAAHSCwg4AAEAnKOwAAAB0gsIOAABAJyjsAAAAdILCDgAAQCco7AAAAHSCwg4AAEAnKOwAAAB0gsIOAABAJyjsAAAAdILCDgAAQCco7AAAAHSCwg4AAEAnKOwAAAB0gsIOAABAJyjsAAAAdILCDgAAQCco7AAAAHSCwg4AAEAnKOyA/9duHcgAAAAADPK3vsdXFAHAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDAhNgBAEyIHQDARN8m4ncDrENuAAAAAElFTkSuQmCC"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#here is an example of four variations of a histogram (charts 1 and 2):\npar(mfrow = c(2, 2)) #creates a matrix of 2 rows x 2 cols filled in by row\n#chart 1\nhist(mtcars$mpg) #simple histogram\n#chart 2\nhist(mtcars$mpg, #data\n breaks = 12, #number of breaks specified\n col = \"red\", #color specified\n xlab = \"Mile per Gallon\", #x-axis label\n main = \"Colored histogram with 12 bins\") #title of the graph",
"execution_count": 23
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#here is an example of four variations of a histogram (charts 1, 2 and 3):\npar(mfrow = c(2, 2)) #creates a matrix of 2 rows x 2 cols filled in by row\n#chart 1\nhist(mtcars$mpg) #simple histogram\n#chart 2\nhist(mtcars$mpg, #data\n breaks = 12, #number of breaks specified\n col = \"red\", #color specified\n xlab = \"Mile per Gallon\", #x-axis label\n main = \"Colored histogram with 12 bins\") #title of the graph\n#chart 3\nhist(mtcars$mpg, #data\n freq = F, #\"freq = FALSE\" crates a plot based on probability densities rather than frequencies\n breaks = 12, #number of breaks specified\n col = \"red\", #color specified\n xlab = \"Miles Per Gallon\", #x-axis label\n main = \"Histogram, rug plot, density curve\") #title of the graph\nrug(jitter(mtcars$mpg)) #rug() creates a set of tick marks along the base of a plot\n #using the jitter() function which couterintuitively adding random noise\n #to a plot can sometimes make it easier to read.\n #Jittering is particularly useful for small datasets with at least one discrete position.\nlines(density(mtcars$mpg), col = \"blue\", lwd = 2) #adds a density curve to an existing plot ",
"execution_count": 25
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#here is an example of four variations of a histogram (charts 1, 2, 3 and 4):\npar(mfrow = c(2, 2)) #creates a matrix of 2 rows x 2 cols filled in by row\n#chart 1\nhist(mtcars$mpg) #simple histogram\n#chart 2\nhist(mtcars$mpg, #data\n breaks = 12, #number of breaks specified\n col = \"red\", #color specified\n xlab = \"Mile per Gallon\", #x-axis label\n main = \"Colored histogram with 12 bins\") #title of the graph\n#chart 3\nhist(mtcars$mpg, #data\n freq = F, #\"freq = FALSE\" crates a plot based on probability densities rather than frequencies\n breaks = 12, #number of breaks specified\n col = \"red\", #color specified\n xlab = \"Miles Per Gallon\", #x-axis label\n main = \"Histogram, rug plot, density curve\") #title of the graph\nrug(jitter(mtcars$mpg)) #rug() creates a set of tick marks along the base of a plot\n #using the jitter() function which couterintuitively adding random noise\n #to a plot can sometimes make it easier to read.\n #Jittering is particularly useful for small datasets with at least one discrete position.\nlines(density(mtcars$mpg), col = \"blue\", lwd = 2) #adds a kernel density curve to an existing plot\n#chart 4\nx <- mtcars$mpg\nh <- hist(x, #data\n breaks = 12, #number of breaks specified\n col = \"red\", #color specified\n xlab = \"Mile per Gallon\", #x-axis label\n main = \"Histogram with normal curve and box\") #title of the graph\n#code for superimposing a normal curve (credit to Peter Dalgaard)\nxfit <- seq(min(x), max(x), length = 40)\nyfit <- dnorm(xfit, mean = mean(x), sd = sd(x))\nyfit <- yfit * diff(h$mids[1:2]) * length(x)\nlines(xfit, yfit, col = \"blue\", lwd = 2)\n#adds a box() around the graph\nbox()",
"execution_count": 27
},
{
"cell_type": "markdown",
"metadata": {},
"source": "## Kernel density plots"
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#kernel density estimation is a nonparametric method for estimating the probablity distribution function\n#of a random variable. the function is: plot(density(x)) where x = numeric vector.\n#here is the code for creating 2 examples of kernel density plots:\npar(mfrow = c(2, 1)) #creates a matrix of 2 rows x 1 col filled in by row\n#chart 1\nd <- density(mtcars$mpg) #stores the density in object d\nplot(d) #creates a minimal graph with all defaults in place\n#chart 2\nd <- density(mtcars$mpg) #stores the density in object d\nplot(d, main = \"Kernel Density of Miles Per Gallon\") #creates a minimal graph with a title\npolygon(d, col = \"red\", border = \"blue\") #colors the curve blue and fills the area under the curve with red\nrug(mtcars$mpg, col = \"brown\") #adds a brown rug, i.e. creates a set of tick marks along the base of a plot",
"execution_count": 28
},
{
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": "Installing package into \u2018/gpfs/global_fs01/sym_shared/YPProdSpark/user/s17c-9f3318fc11f06c-d37a4b9405b6/R/libs\u2019\n(as \u2018lib\u2019 is unspecified)\n"
}
],
"cell_type": "code",
"metadata": {},
"source": "#kernel density plots can be used to compare groups. to do this, you need the \"sm\" package\ninstall.packages(\"sm\")",
"execution_count": 29
},
{
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": "The following objects are masked from mtcars (pos = 3):\n\n am, carb, cyl, disp, drat, gear, hp, mpg, qsec, vs, wt\n\nThe following objects are masked from mtcars (pos = 4):\n\n am, carb, cyl, disp, drat, gear, hp, mpg, qsec, vs, wt\n\nThe following objects are masked from mtcars (pos = 5):\n\n am, carb, cyl, disp, drat, gear, hp, mpg, qsec, vs, wt\n\n"
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#comparative kernel density plots\nlibrary(sm) #load the sm package\nattach(mtcars) #attach the mtcars dataset\n#creates a grouping factor\ncyl.f <- factor(cyl, levels = c(4, 6, 8), #data = cyl from the mtcars dataset; levels = vector of 3 factors\n labels = c(\"4 cylinder\", \"6 cylinder\", \"8 cylinder\")) #labels = factor labels\n#creates the comparative kd plots\nsm.density.compare(mpg, cyl, xlab = \"Miles per Gallon\")\n#adds a title to the chart\ntitle(main = \"MPG Distribution by Car Cylinders\")\n#adds a legend\ncolfill <- c(2:(1 + length(levels(cyl.f))))\nlegend(\"topright\", inset = 0.05, levels(cyl.f), fill = colfill)\n#detach the mtcars dataset\ndetach(mtcars)",
"execution_count": 35
},
{
"cell_type": "markdown",
"metadata": {},
"source": "## Box plots"
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": "<dl>\n\t<dt>$stats</dt>\n\t\t<dd><ol class=list-inline>\n\t<li>10.4</li>\n\t<li>15.35</li>\n\t<li>19.2</li>\n\t<li>22.8</li>\n\t<li>33.9</li>\n</ol>\n</dd>\n\t<dt>$n</dt>\n\t\t<dd>32</dd>\n\t<dt>$conf</dt>\n\t\t<dd><ol class=list-inline>\n\t<li>17.1191615196633</li>\n\t<li>21.2808384803367</li>\n</ol>\n</dd>\n\t<dt>$out</dt>\n\t\t<dd></dd>\n</dl>\n",
"text/latex": "\\begin{description}\n\\item[\\$stats] \\begin{enumerate*}\n\\item 10.4\n\\item 15.35\n\\item 19.2\n\\item 22.8\n\\item 33.9\n\\end{enumerate*}\n\n\\item[\\$n] 32\n\\item[\\$conf] \\begin{enumerate*}\n\\item 17.1191615196633\n\\item 21.2808384803367\n\\end{enumerate*}\n\n\\item[\\$out] \n\\end{description}\n",
"text/plain": "$stats\n[1] 10.40 15.35 19.20 22.80 33.90\n\n$n\n[1] 32\n\n$conf\n[1] 17.11916 21.28084\n\n$out\nnumeric(0)\n",
"text/markdown": "$stats\n: 1. 10.4\n2. 15.35\n3. 19.2\n4. 22.8\n5. 33.9\n\n\n\n$n\n: 32\n$conf\n: 1. 17.1191615196633\n2. 21.2808384803367\n\n\n\n$out\n: \n\n\n"
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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uM/QPqQ9eI1lhZ4ORwiG1n9wRfOLl8smOzh+PnvhMRkhVws4GI8Xv2i39q3W7Ak88fn55p+rP5LKMkKqE299GCockA7hrN2xZ5c1Fgx8hpCohJCOFQ2rpcfQTp76p8uaJhjd2EFJ1EJKRqDsbPiDdP4a9VT6yn5CqgpCMRA3p8fHSVH591HWRNB9LSNXAzgYjxUPas+pNE8e2Xb8n5MwNF46eUX57oH1C7msqQkKdKRzSzrkikyaLnBR2665re/fbPfd/N+coQkKdKRzSVbJ0S5Y9vUQ+oXZNhIS6Uzikk049UH6zf97JSldURkhW2NlgpHBIo7p/NpQtG61yPd0IyQo7G4wU/4o0v/IV6cBf8BWpHnD724jCa6RLny69RrpMPq52TYRkh5CMqNy1mzJZZO5OtWsiJDuEZKT4z5F2X982fnzr9bu1rqiMkKwQkhH+Ev20sLPBCCEBCoqEJIdTvCpCQp0pElLL4RSvipBQZ/jWLi3sbDBCSGlhZ4MRXiOlhdvfRniNlBZCMqL2rd3ubYWvpRchWSEkI2ohfXZK4WvpRUhWCMlI4ZC6bmgtf183e/CxatdESHbY2WCkcEhfP3ir4ZhvqV0TIaHuFA7pzY2PbRj2TMcNc/eqXRMhoe4UDmnSO7NswV3ZgXmfVrsmQkLdKf7PuizNsituyLKPn6p2TYRkh50NRor/Q2Pzs+yrb8uyj41UuyZCssPOBiOFQ3rHoPbdvxy2ec8JM9SuiZDscPvbSOGQfi6yadesEePkKrVrIiQ7hGSk+M+RPnXMpuw3s8e8X/NffSUkK4RkhN3faSEkI4SUFnY2GCEkQEGxkLZ/84Ysa+H/R0LyCoX02Cw5pxzSNJHhf/NlxasiJNSZIiG9NFlOu7McUrb1ykHf1rwqQrLCzgYjRUK6Xi7an1VCyrIVwx5TvCpCssLOBiNFQjpt9PPlN5WQdjb+neJVEZIVbn8bKRLSMX9ZeVMJKVswXe2aCMkOIRkpElLD2X3e+a5hKtfTjZCsEJKRIiGdMq3PO5smq1xPN0KyQkhGioR0idzX877/kPOUrqiMkKyws8FIkZAeG9L01MGHm5rkbrVrIiTUnUI/kP20NHz28f1ZxyPLh8sVmldFSKgzhULq+vJokWHHDREZfN1+zasiJNSZgptWt3x+weRhrz/72j8pXlJGSHbY2WCE3d9xrbuhulpbq3wB66r9X8AIIcW1ZOpZVTV3bnX//Kleb78TUlyp/xzH7fyEFJfbhRTI7fyEFJfbhRTI7fyEFJfbhRTI7fyEFJfbhRTI7fyFQ/rJr9WupRcheeV2/sIhjThJ7Vp6EZJXbucvHNIVQ59Uu5gehOSV2/kLh3Sg/fg7n1W7nIMIySu38xcOSXqoXRMh+eV2/sIhtfRQuyZC8svt/Nz+jsvtQgrkdn5CisvtQgrkdv7iIT3+/qnDsq/fvEfrisoIySu38xcOafOEKaMkWyGtL6pdEyH55Xb+wiEtHb6lRbKub8hytWsiJL/czl84pKaF3X/V6jtma11SRkh+uZ2/cEgjL+8O6bJRWpeUEZJfbucvHNL8cyohdTTPU7smQvLL7fyFQ/rM8EdLIT19rlyjdk2E5Jfb+QuH1Llw6FCZNkRO2a12TYTkl9v5i/8cad/XFkwc17Zqr9YVlRGSV27nZ2dDXG4XUiC38xNSXG4XUiC38xcKafMls0e2XL5N9YIqCMkrt/MXCenxBhneJDJdvyRC8srt/EVCukCu7cw2t8lVupeUEZJfbucvEtKMOV2lX9fJaapXVEZIXrmdv0hIcn73R9D8f2O7EZJXbucvFNLfdr8hpHBuF1Igt/MTUlxuF1Igt/MTUlxuF1Igt/MXCmlM5W8PktfwtwgFc7uQArmdv1BIh1O8KkLyyu38bBGKy+1CCuR2fkKKy+1CCuR2fkKKy+1CCuR2fkKKy+1CCuR2fkKKy+1CCuR2fkKKy+1CCuR2fkKKy+1CCuR2fkKKy+1CCuR2fkKKy+1CCuR2/sIhdVz1uiz78fQpn+5SuyZC8svt/IVD+oJMyl4cO3S0fEvtmgjJL7fzFw5pbtOO7PZB/7N1nOb/J0tIXrmdv3BIo96XZX9/RpadM0HtmgjJL7fzFw5p/HlZV8vKLLtstNo1EZJfbucvHFLbxG13y6+zjpknql0TIfnldv7CId0qYwa/bt9D0+RGtWsiJL/czl84pAP/OKH53uwXM1Z0ql0TIfnldn5+IBuX24UUyO38hBSX24UUyO38xUN6/P1Th2Vfv3mP1hWVEZJXbucvHNLmCVNGSbZCWl9UuyZC8svt/IVDWjp8S4tkXd+Q5WrXREh+uZ2/cEhNCyv/qnn2jtlal5QRkl9u5y8c0sjLu0O6bFTIqZuuPn1O48jmRcs35h5GSF65nb9wSPPPqYTU0Tzv6Cd2fXiwSMP04xpEZNm+nAMJySu38xcO6TPDHy2F9PS5cs3RT7xZ5q35c/nB9rWLcndCEJJXbucvHFLnwqFDZdoQOWX30U9snbmz57TWBTkHEpJXbucv/nOkfV9bMHFc26q9ASc2XNz7eHljzoGE5JXb+aPubGibtevQw842viKlyO38UUNaLfO+X3mNtGPtQlmVcyAheeV2/qj/rEvlrt2Y6TMaS0dfmrdbnJC8cjt/kZBaDhdy6qar3zq7YXTzguUbcg8jJK/czl9Du78fWd9jBSE55Xb+2glp46C+3yfuMPkzqs/tQgrkdv5ir5E+2veFUsCZW5fMGPuu31Yentnv+B3betzEVySn3M5f7DXS5/u+UDr6iVunyoixMuKu8uP+IfXBaySv3M4f9Vu7y+WTHZ0/Hj3xmYyQEuV2/qghHT+//BeE/0wuywgpUW7njxrSsGWVNxcNfoSQEuV2/qg/kJ36psqbJxre2EFIaXI7f7GQGgb2A9kPyOrK21vlI/sJKUlu5y8S0htE5rU/OoATHx8vTeXXR10XSfOxhJQit/MXeo204QutIidc9/vgf2Nsw4WjZ5TfHmifkPutICF55Xb+ojcbNv/zokEy6xMPHAg8t2t799s993835yhC8srt/Ap37Z6+5W1DZdpH7lW6ojJC8srt/Dq3v1/49juDtgiFIiSv3M6vElLHL5a+VoaqXE83QvLK7fzFQ+r42aXjZdi7/3Wb1iVlhOSX2/kLhrT3Jx8YKyPO+7ftipeUEZJfbucvEtKeH17UKKPOX6O/6AnJK7fzFwmpQRred8eu3ENfJULyyu38UffaBXMc0rDxSRtGSL0K/OUngRyHJIkjpF7805evHiFV+7+AEUKKa8mYWUkbQ0i9COnVc/tiO5Db+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+QkpLrcLKZDb+aOGdN/DpV+6vrlofNPb13blHUhIXrmdP2pIcmapowtERjaJLMkryXFIU8+qqpNOqu6fP5WQehUK6XaZ+KMD2dYL5Ts5B/oN6b7l1XXyyVW+gPuq/V/ASPSQFsvt5Yd7Z56ec6DfkKpty5ZqX4FT0UOaL89XHl88LudAQkKdiR7Se2VT5fHiWTkHEhLqTNyQ5ty56R5ZWX745Jjzcw4kJNSZuCGVjBwiv8uy246Vu3IOJCQrK1dW+wqcihrSi+u/137Jm4+5O8uaR6zOO5CQrLj9OU61VWNnQ1eW/fTZ/u/+w/oeKwjJCCEZqZ0tQhsHSR87TP4MEJKR2gkpe2lbj5v4imSEkIzUUEh98BrJytKl1b4CpwgpLexsMBI1pJbD5BxISKgzUUO6ckLf+wk5BxIS6kzcb+2eapI9IccREupM5NdI1xJSdbGzwUjkkO4gpOri9reRyCF1Ppf7v5gfQkhWCMkIt7/TQkhGCCkthGSEkNLCzgYjhJQWdjYYISRAASEBCggJUEBIaWFngxFCSgu3v40QUloIyQghpYWQjBBSWgjJCCGlhZ0NRggpLexsMEJIgAJCAhQQEqCAkNLCzgYjhJQWbn8bIaS0EJIRQkoLIRkhpLQQkhFCSgs7G4wQUlrY2WCEkAAFhAQoICRAASGlhZ0NRggpLdz+NkJIaSEkI4SUFkIyQkhpISQjhJQWdjYYIaS0sLPBCCEBCggJUEBIgAJCSgs7G4wQUlq4/W2EkNJCSEYIKS2EZISQ0kJIRggpLexsMEJIaWFngxFCAhQQEqCAkAAFhJQWdjYYIaS0cPvbCCGlhZCMEFJaCMkIIaWFkIwQUlrY2WCEkNLCzgYjhAQoICRAASEBCggpLexsMEJIaeH2txFCSgshGSGktBCSEUJKCyEZIaS0sLPBCCGlhZ0NRggJUEBIgAJCAhQQUlrY2WCEkNLC7W8jhJQWQjJCSGkhJCOElBZCMkJIaWFngxFCSgs7G4wQEqCAkAAFhAQoIKS0sLPBCCGlhdvfRggpLYRkhJDSQkhGCCkthGSEkNLCzgYjhJQWdjYYISRAASEBCggJUEBIaWFngxFCSgu3v40QUloIyQghpYWQjBBSWgjJCCGlhZ0NRggpLexsMEJIgAJCAhQQEqCAkNLCzgYjhJQWbn8bIaS0EJIRQkoLIRkhpLQQkpHIIW26+vQ5jSObFy3fmHsYIb2S9vHFDB9e8AO0V/szUKOihtT14cEiDdOPaxCRZftyDiSkV7Ll7mLWrCn4AdgZ8fKihnSzzFvz5/KD7WsXyY05BxIS6kzUkFpn7jz0sLN1Qc6BhIQ6EzWkhot7Hy9vzDmQkFBnoobUNmvXoYedbXxFgiNRQ1ot875feY20Y+1CWZVzICGhzsS/azdm+oxGEbm0M+dAQkKdif5zpLfObhjdvGD5htzDCAl1poZ2Njy8vscKQkJ9qZ2QNpa+7eu16+gnALWjdkLKdm7r8QvpsPkzABs1FFIf9xMS6gshAQqihtRymJwDCQl1JmpIV07oez8h50BCQp2J+63dU02yJ+Q4QkKdifwa6VpCgkuRQ7qDkOBS5JA6n+sKOYyQUGe4/Q0oICRAASEBCmozpAcFqDMPDniZ24eUPbQeqCsPDXyVRwgJ8I+QAAWEBCggJEABIQEKCAlQQEiAAkICFBASoICQAAWEBCggJEABIQEKCAlQQEiAAkICFBASoICQAAWEBCggJEABIQEKCAlQQEiAAkICFBASoICQAAWEBCggJEABIQEKCAlQQEiAAkICFBASoICQAAWEBCggJEABIQEKCAlQQEiAAkICFBASoICQAAWEBCggJEABIQEKCAlQQEiAAkICFBASoICQAAWEBCggJEABIQEKCAlQQEiAAkICFBASoICQAAWEBCggJEABIQEKCAlQQEiAAkICFBASoICQAAWEBCggJEABIQEKCAlQQEiAAkICFBASoICQAAWEBCggJEABIQEKCAlQQEiAAkICFBASoICQAAWEBCggJEABIQEKCAlQQEiAAkICFBASoICQAAWEBCggJEABIQEKCAlQQEiAAkICFBASoICQAAWEBCggJEABIQEKCAlQQEiAAkICFBASoICQAAWEBCggJEABIQEKCAlQQEiAAkICFBASoICQAAWEBCggJEABIQEKCAlQQEiAAkICFBASoOD/AaCjsZ4skn/uAAAAAElFTkSuQmCC"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#a box-and-whiskers plot describes the distribution of a continuous variable by plotting\n#its five-number summary: min, lower quartile (25th percentile), median (50th percentile),\n#upper quartile (75th percentile) and the max.\n#it can also display outliers i.e. values that lie outside 1.5 * IQR or inter-quartile range\n#IQR = upper quartile - lower quartile. here is an example:\n#create the box plot:\nboxplot(mtcars$mpg, main = \"Box Plot\", ylab = \"Miles Per Gallon\")\n#print relevant stats\nboxplot.stats(mtcars$mpg)",
"execution_count": 37
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Using parallel box plots to compare groups"
},
{
"outputs": [],
"cell_type": "code",
"metadata": {
"collapsed": true
},
"source": "#boxplots can be created for individual variables or for variables by group\n#the format is boxplot(formula, data = data frame)\n#where formula is a formula and data denotes a data frame (or list) providing the data\n#example of a formula: y ~ A, where a separate box plot for numeric variable y is generated\n#for each value of categorical variable A.\n#the formula y ~ A*B would produce a boxplot of numeric variable y for each combinaiton of levels\n#in categorical variables A and B\n#adding option \"varwidth = TRUE\" makes the box plot widths proportional to the square root of their sample sizes\n#add \"horizontal = TRUE\" to reverse axis orientation",
"execution_count": 38
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#the following code revisits the impact of four, six and eight cylinders on auto mpg with parallel box plots\nboxplot(mpg ~ cyl, data = mtcars, #formula, data\n main = \"Car Mileage Data\", #title\n xlab = \"Number of cylinders\", ylab = \"Miles Per Gallon\") #x- and y-axis labels",
"execution_count": 39
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Notched box plots"
},
{
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": "Warning message in bxp(structure(list(stats = structure(c(21.4, 22.8, 26, 30.4, :\n\u201csome notches went outside hinges ('box'): maybe set notch=FALSE\u201d"
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#by adding \"notch = TRUE\", you get notched box plots. example:\nboxplot(mpg ~ cyl, data = mtcars, #formula, data\n notch = T, #set notch option to TRUE\n varwidth = T, #makes the box plot widths proportional to the square root of their sample sizes\n col = \"red\",\n main = \"Car Mileage Data\", #title\n xlab = \"Number of cylinders\", ylab = \"Miles Per Gallon\") #x- and y-axis labels",
"execution_count": 41
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Box plots with two crossed factors"
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#the following code provides box plots for mpg versus the number of cylinders and transmission type\nmtcars$cyl.f <- factor(mtcars$cyl,\n levels = c(4, 6, 8),\n labels = c(\"4\", \"6\", \"8\")) #creates a factor for the number of cylinders\nmtcars$am.f <- factor(mtcars$am,\n levels = c(0, 1),\n labels = c(\"auto\", \"standard\")) #creates a factor for transmission type\nboxplot(mpg ~ am.f * cyl.f, #formula\n data = mtcars, #data\n varwidth = T, #makes the box plot widths proportional to the square root of their sample sizes\n col = c(\"gold\", \"darkgreen\"), #color of the box plots; these are recycled twice since there are 6 box plots\n main = \"MPG Distribution by Auto Type\", #title\n xlab = \"Auto Type\", ylab = \"Miles Per Gallon\") #x- and y-axis labels",
"execution_count": 42
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Violin plots"
},
{
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": "Installing package into \u2018/gpfs/global_fs01/sym_shared/YPProdSpark/user/s17c-9f3318fc11f06c-d37a4b9405b6/R/libs\u2019\n(as \u2018lib\u2019 is unspecified)\n"
}
],
"cell_type": "code",
"metadata": {},
"source": "#violin plots are a combination of a box plot and a kernel density plot\n#you need to install the \"vioplot\" package to create violin plots\ninstall.packages(\"vioplot\")",
"execution_count": 43
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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"
}
}
],
"cell_type": "code",
"metadata": {},
"source": "#the format for the violin plot function is as follows:\n#vioplot(x1, x2, ..., names = , col = ), where:\n#x1, x2, etc are one or more numeric vectors to be plotted (one violin plot is produced per vector)\n#names provides a character vector of labels for the violin plots\n#col is a vector specifying colors for each violin plot\n#here is an example:\n#load the vioplot package\nlibrary(vioplot)\n#create the vectors to be plotted\nx1 <- mtcars$mpg[mtcars$cyl == 4]\nx2 <- mtcars$mpg[mtcars$cyl == 6]\nx3 <- mtcars$mpg[mtcars$cyl == 8]\n#create the plot\nvioplot(x1, x2, x3, #data\n names = c(\"4 cyl\", \"6 cyl\", \"8 cyl\"), #labels of the violin plots\n col = \"gold\") #color of each plot\n#main title and labels for x- and y-axis\ntitle(main = \"Violin Plots of Miles Per Gallon\", ylab = \"Miles Per Gallon\",\n xlab = \"Number of Cylinders\")",
"execution_count": 44
},
{
"cell_type": "markdown",
"metadata": {},
"source": "## Dot plots"
},
{
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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