Regression Modelling 11. Confounding levels in qualitative factors.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Regression Modelling 11\n",
    "## Dropping an indicator variable from a model does not remove the observations from the analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Lets start with some packages and config"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Updating HTML index of packages in '.Library'\n",
      "Making 'packages.html' ... done\n",
      "Loading required package: tidyverse\n",
      "Warning message:\n",
      "“‘timedatectl’ indicates the non-existent timezone name ‘n/a’”Warning message:\n",
      "“Your system is mis-configured: ‘/etc/localtime’ is not a symlink”Warning message:\n",
      "“It is strongly recommended to set envionment variable TZ to ‘Etc/UCT’ (or equivalent)”── Attaching packages ─────────────────────────────────────── tidyverse 1.3.1 ──\n",
      "✔ ggplot2 3.3.3     ✔ purrr   0.3.4\n",
      "✔ tibble  3.1.0     ✔ dplyr   1.0.5\n",
      "✔ tidyr   1.1.3     ✔ stringr 1.4.0\n",
      "✔ readr   2.0.2     ✔ forcats 0.5.1\n",
      "── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──\n",
      "✖ dplyr::filter() masks stats::filter()\n",
      "✖ dplyr::lag()    masks stats::lag()\n"
     ]
    }
   ],
   "source": [
    "install.packages(\"tidyverse\")\n",
    "require(tidyverse)\n",
    "\n",
    "options(repr.plot.width=20, repr.plot.height=10)\n",
    "theme <- theme(\n",
    "        axis.text=element_text(size = rel(2)),\n",
    "        axis.title=element_text(size = rel(2)),\n",
    "        plot.title=element_text(size = rel(3))\n",
    "    )\n",
    "points <- geom_point(size=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Now lets build our dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>y</th><th scope=col>x</th><th scope=col>manufacture</th><th scope=col>da</th><th scope=col>db</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>3.4</td><td>2.3</td><td>A  </td><td>1  </td><td>0  </td></tr>\n",
       "\t<tr><td>3.8</td><td>3.0</td><td>A  </td><td>1  </td><td>0  </td></tr>\n",
       "\t<tr><td>3.5</td><td>2.9</td><td>B  </td><td>0  </td><td>1  </td></tr>\n",
       "\t<tr><td>3.9</td><td>3.8</td><td>B  </td><td>0  </td><td>1  </td></tr>\n",
       "\t<tr><td>3.5</td><td>2.3</td><td>C  </td><td>0  </td><td>0  </td></tr>\n",
       "\t<tr><td>3.9</td><td>3.2</td><td>C  </td><td>0  </td><td>0  </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllll}\n",
       " y & x & manufacture & da & db\\\\\n",
       "\\hline\n",
       "\t 3.4 & 2.3 & A   & 1   & 0  \\\\\n",
       "\t 3.8 & 3.0 & A   & 1   & 0  \\\\\n",
       "\t 3.5 & 2.9 & B   & 0   & 1  \\\\\n",
       "\t 3.9 & 3.8 & B   & 0   & 1  \\\\\n",
       "\t 3.5 & 2.3 & C   & 0   & 0  \\\\\n",
       "\t 3.9 & 3.2 & C   & 0   & 0  \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| y | x | manufacture | da | db |\n",
       "|---|---|---|---|---|\n",
       "| 3.4 | 2.3 | A   | 1   | 0   |\n",
       "| 3.8 | 3.0 | A   | 1   | 0   |\n",
       "| 3.5 | 2.9 | B   | 0   | 1   |\n",
       "| 3.9 | 3.8 | B   | 0   | 1   |\n",
       "| 3.5 | 2.3 | C   | 0   | 0   |\n",
       "| 3.9 | 3.2 | C   | 0   | 0   |\n",
       "\n"
      ],
      "text/plain": [
       "  y   x   manufacture da db\n",
       "1 3.4 2.3 A           1  0 \n",
       "2 3.8 3.0 A           1  0 \n",
       "3 3.5 2.9 B           0  1 \n",
       "4 3.9 3.8 B           0  1 \n",
       "5 3.5 2.3 C           0  0 \n",
       "6 3.9 3.2 C           0  0 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAACWAAAASwCAMAAABIeoGzAAAC7lBMVEUAAAABAQECAgIDAwME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\nAIAwgQUAECawAADCBBYAQNj/BwPXyLlSwwl4AAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y <- c(3.4, 3.8, 3.5, 3.9, 3.5, 3.9)\n",
    "x <- c( 2.3, 3.0, 2.9, 3.8, 2.3, 3.2)\n",
    "manufacture <- c('A','A','B','B','C','C')\n",
    "da <- c(1,1,0,0,0,0)\n",
    "db <- c(0,0,1,1,0,0) \n",
    "\n",
    "sample.data <- data.frame(y, x, manufacture, da, db)\n",
    "\n",
    "sample.data\n",
    "plot(y~x, sample.data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Lets model and graph Y=X,Da,Db"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = y ~ x + da + db, data = sample.data)\n",
       "\n",
       "Residuals:\n",
       "       1        2        3        4        5        6 \n",
       "-0.03412  0.03412  0.01327 -0.01327  0.01327 -0.01327 \n",
       "\n",
       "Coefficients:\n",
       "            Estimate Std. Error t value Pr(>|t|)   \n",
       "(Intercept)  2.39668    0.10784  22.224  0.00202 **\n",
       "x            0.47393    0.03791  12.500  0.00634 **\n",
       "da          -0.05261    0.03913  -1.344  0.31098   \n",
       "db          -0.28436    0.04510  -6.305  0.02424 * \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 0.03894 on 2 degrees of freedom\n",
       "Multiple R-squared:  0.988,\tAdjusted R-squared:  0.9701 \n",
       "F-statistic: 55.01 on 3 and 2 DF,  p-value: 0.01791\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample.model <- lm(y~x+da+db, sample.data)\n",
    "summary(sample.model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAACWAAAASwCAIAAADwxubWAAAACXBIWXMAABJ0AAASdAHeZh94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\nRK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predicted1 = predict(sample.model, interval = \"confidence\")\n",
    "fortifySample1 = fortify(sample.model)\n",
    "modSample1 <- cbind(sample.data, predicted1)\n",
    "    \n",
    "ggplot(modSample1, aes(x=x, y=y, group=manufacture, fill=manufacture, colour=manufacture)) + \n",
    "    geom_line(linetype=\"solid\") +\n",
    "    theme + points"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Da is not a statistically significant factor we can see from the P-Value\n",
    "So lets remove it."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## But the question is: can we just drop the non significant level of the qualitative factor from our model?\n",
    "*The answer is yes! - of course we can do whatever we want with our model.*\n",
    "\n",
    "But more importantly the observations from that factor wont be removed, they will just be added to the reference, in this case Dc, and these two levels will become confounded. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = y ~ x + db, data = sample.data)\n",
       "\n",
       "Residuals:\n",
       "        1         2         3         4         5         6 \n",
       "-0.058451  0.006338  0.015493 -0.015493  0.041549  0.010563 \n",
       "\n",
       "Coefficients:\n",
       "            Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept)  2.35704    0.11686  20.169 0.000266 ***\n",
       "x            0.47887    0.04251  11.264 0.001500 ** \n",
       "db          -0.26127    0.04698  -5.561 0.011472 *  \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 0.04387 on 3 degrees of freedom\n",
       "Multiple R-squared:  0.9772,\tAdjusted R-squared:  0.962 \n",
       "F-statistic:  64.3 on 2 and 3 DF,  p-value: 0.003442\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample.model2 <- lm(y~x+db, sample.data)\n",
    "summary(sample.model2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAACWAAAASwCAIAAADwxubWAAAACXBIWXMAABJ0AAASdAHeZh94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\nRK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predicted2 = predict(sample.model2, interval = \"confidence\")\n",
    "fortifySample2 = fortify(sample.model2)\n",
    "modSample2 <- cbind(sample.data, predicted2)\n",
    "    \n",
    "ggplot(modSample1, aes(x=x, y=y, group=db, fill=db, colour=db)) + \n",
    "    geom_line(linetype=\"solid\") +\n",
    "    theme + points"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Now we can see Da & Dc have merged into one group, and Db is seperate, we can also represent this in the following equation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "3.68234"
      ],
      "text/latex": [
       "3.68234"
      ],
      "text/markdown": [
       "3.68234"
      ],
      "text/plain": [
       "[1] 3.68234"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "3.72368"
      ],
      "text/latex": [
       "3.72368"
      ],
      "text/markdown": [
       "3.72368"
      ],
      "text/plain": [
       "[1] 3.72368"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "3.68234"
      ],
      "text/latex": [
       "3.68234"
      ],
      "text/markdown": [
       "3.68234"
      ],
      "text/plain": [
       "[1] 3.68234"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a <- 2.62226 + 0.35336*3 + 0.04134*(0)\n",
    "b <- 2.62226 + 0.35336*3 + 0.04134*(1)\n",
    "c <- 2.62226 + 0.35336*3 + 0.04134*(0)\n",
    "\n",
    "a\n",
    "b\n",
    "c"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}