{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# `doex` - Design and Analysis of Experiments\n",
    "\n",
    "\n",
    "- [GitHub](https://github.com/rohitsanj/doex)\n",
    "- [PyPI](https://pypi.org/project/doex/)\n",
    "- [Docs](https://doex.rohitsanjay.com/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already up-to-date: doex in /Users/rohitsanjay/miniconda3/lib/python3.8/site-packages (0.0.2)\n",
      "Requirement already satisfied, skipping upgrade: prettytable>=1.0.1 in /Users/rohitsanjay/miniconda3/lib/python3.8/site-packages (from doex) (1.0.1)\n",
      "Requirement already satisfied, skipping upgrade: scipy>=1.5 in /Users/rohitsanjay/miniconda3/lib/python3.8/site-packages (from doex) (1.5.2)\n",
      "Requirement already satisfied, skipping upgrade: numpy>=1.19 in /Users/rohitsanjay/miniconda3/lib/python3.8/site-packages (from doex) (1.19.2)\n",
      "Requirement already satisfied, skipping upgrade: setuptools in /Users/rohitsanjay/miniconda3/lib/python3.8/site-packages (from prettytable>=1.0.1->doex) (49.6.0.post20200814)\n",
      "Requirement already satisfied, skipping upgrade: wcwidth in /Users/rohitsanjay/miniconda3/lib/python3.8/site-packages (from prettytable>=1.0.1->doex) (0.2.5)\n"
     ]
    }
   ],
   "source": [
    "!pip install doex --upgrade"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Completely Randomized Design"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+---------------------+-----+----------------+---------------------+-------------+---------+\n",
      "| Source of Variation | DOF | Sum of Squares | Mean Sum of Squares | F statistic | p value |\n",
      "+---------------------+-----+----------------+---------------------+-------------+---------+\n",
      "|      Treatments     |  2  |    450.6667    |       225.3333      |    7.0356   |  0.0145 |\n",
      "|        Error        |  9  |    288.2500    |       32.0278       |             |         |\n",
      "|        Total        |  11 |    738.9167    |                     |             |         |\n",
      "+---------------------+-----+----------------+---------------------+-------------+---------+\n"
     ]
    }
   ],
   "source": [
    "import doex\n",
    "\n",
    "exp = doex.CompletelyRandomizedDesign(\n",
    "    [24, 28, 37, 30], # Treatment 1\n",
    "    [37, 44, 31, 35], # Treatment 2\n",
    "    [42, 47, 52, 38], # Treatment 3\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. One Way ANOVA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+---------------------+-----+----------------+---------------------+-------------+---------+\n",
      "| Source of Variation | DOF | Sum of Squares | Mean Sum of Squares | F statistic | p value |\n",
      "+---------------------+-----+----------------+---------------------+-------------+---------+\n",
      "|      Treatments     |  2  |    450.6667    |       225.3333      |    7.0356   |  0.0145 |\n",
      "|        Error        |  9  |    288.2500    |       32.0278       |             |         |\n",
      "|        Total        |  11 |    738.9167    |                     |             |         |\n",
      "+---------------------+-----+----------------+---------------------+-------------+---------+\n"
     ]
    }
   ],
   "source": [
    "import doex\n",
    "\n",
    "exp = doex.OneWayANOVA(\n",
    "    [24, 28, 37, 30], # Treatment 1\n",
    "    [37, 44, 31, 35], # Treatment 2\n",
    "    [42, 47, 52, 38], # Treatment 3\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Randomized Complete Block Design"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+---------------------+-----+----------------+---------------------+-------------+---------+\n",
      "| Source of Variation | DOF | Sum of Squares | Mean Sum of Squares | F statistic | p value |\n",
      "+---------------------+-----+----------------+---------------------+-------------+---------+\n",
      "|      Treatments     |  3  |    12.9500     |        4.3167       |    2.3761   |  0.1211 |\n",
      "|        Blocks       |  4  |    157.0000    |       39.2500       |   21.6055   |  0.0000 |\n",
      "|        Error        |  12 |    21.8000     |        1.8167       |             |         |\n",
      "|        Total        |  19 |    191.7500    |                     |             |         |\n",
      "+---------------------+-----+----------------+---------------------+-------------+---------+\n"
     ]
    }
   ],
   "source": [
    "import doex\n",
    "\n",
    "exp = doex.RandomizedCompleteBlockDesign(\n",
    "    [\n",
    "        [73, 68, 74, 71, 67],\n",
    "        [73, 67, 75, 72, 70],\n",
    "        [75, 68, 78, 73, 68],\n",
    "        [73, 71, 75, 75, 69],\n",
    "    ]\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Two Way ANOVA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+---------------------+-----+----------------+---------------------+-------------+---------+\n",
      "| Source of Variation | DOF | Sum of Squares | Mean Sum of Squares | F statistic | p value |\n",
      "+---------------------+-----+----------------+---------------------+-------------+---------+\n",
      "|      Treatments     |  3  |     0.3850     |        0.1283       |   14.4375   |  0.0009 |\n",
      "|        Blocks       |  3  |     0.8250     |        0.2750       |   30.9375   |  0.0000 |\n",
      "|        Error        |  9  |     0.0800     |        0.0089       |             |         |\n",
      "|        Total        |  15 |     1.2900     |                     |             |         |\n",
      "+---------------------+-----+----------------+---------------------+-------------+---------+\n"
     ]
    }
   ],
   "source": [
    "import doex\n",
    "\n",
    "exp = doex.TwoWayANOVA(\n",
    "    [\n",
    "        [9.3, 9.4, 9.6, 10.0],\n",
    "        [9.4, 9.3, 9.8, 9.9],\n",
    "        [9.2, 9.4, 9.5, 9.7],\n",
    "        [9.7, 9.6, 10.0, 10.2],\n",
    "    ]\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. Latin Square Design"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+---------------------+-----+----------------+---------------------+-------------+---------+\n",
      "| Source of Variation | DOF | Sum of Squares | Mean Sum of Squares | F statistic | p value |\n",
      "+---------------------+-----+----------------+---------------------+-------------+---------+\n",
      "|      Treatments     |  4  |    141.4400    |       35.3600       |   11.3092   |  0.0005 |\n",
      "|         Rows        |  4  |    15.4400     |        3.8600       |    1.2345   |  0.3476 |\n",
      "|       Columns       |  4  |    12.2400     |        3.0600       |    0.9787   |  0.4550 |\n",
      "|        Error        |  12 |    37.5200     |        3.1267       |             |         |\n",
      "|        Total        |  24 |    206.6400    |                     |             |         |\n",
      "+---------------------+-----+----------------+---------------------+-------------+---------+\n"
     ]
    }
   ],
   "source": [
    "import doex\n",
    "\n",
    "exp = doex.LatinSquare(\n",
    "    [\n",
    "        [\"A\", \"B\", \"D\", \"C\", \"E\"],\n",
    "        [\"C\", \"E\", \"A\", \"D\", \"B\"],\n",
    "        [\"B\", \"A\", \"C\", \"E\", \"D\"],\n",
    "        [\"D\", \"C\", \"E\", \"B\", \"A\"],\n",
    "        [\"E\", \"D\", \"B\", \"A\", \"C\"],\n",
    "    ],\n",
    "    [\n",
    "        [8, 7, 1, 7, 3],\n",
    "        [11, 2, 7, 3, 8],\n",
    "        [4, 9, 10, 1, 5],\n",
    "        [6, 8, 6, 6, 10],\n",
    "        [4, 2, 3, 8, 8],\n",
    "    ],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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