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Author: suneelpatel

Statistical_Inference/Point_Estimates.ipynb

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+{
+ "nbformat": 4,
+ "nbformat_minor": 0,
+ "metadata": {
+ "colab": {
+ "name": "Point_Estimates.ipynb",
+ "version": "0.3.2",
+ "provenance": []
+ },
+ "kernelspec": {
+ "name": "python3",
+ "display_name": "Python 3"
+ }
+ },
+ "cells": [
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "j1cQgMzxLqxN",
+ "colab_type": "code",
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 34
+ },
+ "outputId": "fde15623-382f-48db-e42d-df4f5fd8a3ac"
+ },
+ "source": [
+ "%matplotlib inline \n",
+ "import numpy as np\n",
+ "import pandas as pd\n",
+ "import scipy.stats as stats\n",
+ "import matplotlib.pyplot as plt\n",
+ "import random\n",
+ "import math\n",
+ "np.random.seed(10)\n",
+ "population_ages1 = stats.poisson.rvs(loc=18, mu=35, size=150000)\n",
+ "population_ages2 = stats.poisson.rvs(loc=18, mu=10, size=100000)\n",
+ "population_ages = np.concatenate((population_ages1, population_ages2))\n",
+ "\n",
+ "population_ages.mean()"
+ ],
+ "execution_count": 2,
+ "outputs": [
+ {
+ "output_type": "execute_result",
+ "data": {
+ "text/plain": [
+ "43.002372"
+ ]
+ },
+ "metadata": {
+ "tags": []
+ },
+ "execution_count": 2
+ }
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "Stlpz09vLqxh",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "np.random.seed(6)\n",
+ "sample_ages = np.random.choice(a= population_ages,size=500)"
+ ],
+ "execution_count": 0,
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "80mLxWv1Lqxq",
+ "colab_type": "code",
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 34
+ },
+ "outputId": "9e21fac5-721b-48e3-f9e0-89dfc23c910c"
+ },
+ "source": [
+ "print ( sample_ages.mean() )"
+ ],
+ "execution_count": 5,
+ "outputs": [
+ {
+ "output_type": "stream",
+ "text": [
+ "42.388\n"
+ ],
+ "name": "stdout"
+ }
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "oxYfwI5qLqx1",
+ "colab_type": "code",
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 34
+ },
+ "outputId": "2835e1a1-9b6a-4236-fa27-216fa148e499"
+ },
+ "source": [
+ "population_ages.mean() - sample_ages.mean()"
+ ],
+ "execution_count": 9,
+ "outputs": [
+ {
+ "output_type": "execute_result",
+ "data": {
+ "text/plain": [
+ "0.614372000000003"
+ ]
+ },
+ "metadata": {
+ "tags": []
+ },
+ "execution_count": 9
+ }
+ ]
+ }
+ ]
+}

Statistical_Inference/confidence_interval_margin_of_error.ipynb

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+{
+ "nbformat": 4,
+ "nbformat_minor": 0,
+ "metadata": {
+ "colab": {
+ "name": "confidence_interval_margin_of_error.ipynb",
+ "version": "0.3.2",
+ "provenance": []
+ },
+ "kernelspec": {
+ "name": "python3",
+ "display_name": "Python 3"
+ }
+ },
+ "cells": [
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "qE_pk1w3Luqb",
+ "colab_type": "code",
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 119
+ },
+ "outputId": "c99b445c-c0a4-4963-879c-b303182fda1d"
+ },
+ "source": [
+ "import numpy as np\n",
+ "import scipy.stats as stats\n",
+ "import math\n",
+ "\n",
+ "np.random.seed(10)\n",
+ "population_ages1 = stats.poisson.rvs(loc=18, mu=35, size=150000)\n",
+ "population_ages2 = stats.poisson.rvs(loc=18, mu=10, size=100000)\n",
+ "population_ages = np.concatenate((population_ages1, population_ages2))\n",
+ "\n",
+ "sample_size = 1000\n",
+ "sample = np.random.choice(a= population_ages, size = sample_size)\n",
+ "sample_mean = sample.mean()\n",
+ "z_critical = stats.norm.ppf(q = 0.975) # Get the z-critical value*\n",
+ "print(\"z-critical value:\") # Check the z-critical value\n",
+ "print(z_critical) \n",
+ "\n",
+ "pop_stdev = population_ages.std() # Get the population standard deviation\n",
+ "margin_of_error = z_critical * (pop_stdev/math.sqrt(sample_size))\n",
+ "\n",
+ "print(\"Margin of Error:\")\n",
+ "print(margin_of_error)\n",
+ "\n",
+ "confidence_interval = (sample_mean - margin_of_error,\n",
+ " sample_mean + margin_of_error) \n",
+ "\n",
+ "print(\"Confidence interval:\")\n",
+ "print(confidence_interval)"
+ ],
+ "execution_count": 3,
+ "outputs": [
+ {
+ "output_type": "stream",
+ "text": [
+ "z-critical value:\n",
+ "1.959963984540054\n",
+ "Margin of Error:\n",
+ "0.8199359311731705\n",
+ "Confidence interval:\n",
+ "(42.39706406882683, 44.03693593117317)\n"
+ ],
+ "name": "stdout"
+ }
+ ]
+ }
+ ]
+}