├── LICENSE ├── Quantile.ipynb ├── README.md ├── covariance_correlation.ipynb ├── log_normal_distribution.ipynb ├── normal_distribution.ipynb ├── skewness_kurtosis.ipynb ├── statistics.ipynb ├── t-test.ipynb ├── uniform_distribution.ipynb ├── z-test-for-proportion.ipynb └── z-test.ipynb /LICENSE: -------------------------------------------------------------------------------- 1 | MIT License 2 | 3 | Copyright (c) 2024 Nikita Prasad 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # Statistics Cheatsheet 2024 2 | 3 | This is the Ultimate Cheat Code of Statistics for Machine Learning is what you will need in 2024. Even if you are beginner in Data Science or you're a seasoned expert. These codes will be your lifesaver for quick syntax reference. 🏄‍♂️🐍 4 | -------------------------------------------------------------------------------- /log_normal_distribution.ipynb: -------------------------------------------------------------------------------- 1 | { 2 | "nbformat": 4, 3 | "nbformat_minor": 0, 4 | "metadata": { 5 | "colab": { 6 | "provenance": [] 7 | }, 8 | "kernelspec": { 9 | "name": "python3", 10 | "display_name": "Python 3" 11 | }, 12 | "language_info": { 13 | "name": "python" 14 | } 15 | }, 16 | "cells": [ 17 | { 18 | "cell_type": "markdown", 19 | "source": [ 20 | "# Log-Normal Distribution\n", 21 | "\n", 22 | "It is a heavy tailed continuous probability distribution of a random variable whose logarithm is normally distributed.\n", 23 | "\n" 24 | ], 25 | "metadata": { 26 | "id": "_kpAuhmGoID9" 27 | } 28 | }, 29 | { 30 | "cell_type": "markdown", 31 | "source": [ 32 | 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)" 33 | ], 34 | "metadata": { 35 | "id": "N6235wFgpRU8" 36 | } 37 | }, 38 | { 39 | "cell_type": "code", 40 | "source": [ 41 | "import numpy as np\n", 42 | "import matplotlib.pyplot as plt" 43 | ], 44 | "metadata": { 45 | "id": "SBvpEfIbt7i_" 46 | }, 47 | "execution_count": null, 48 | "outputs": [] 49 | }, 50 | { 51 | "cell_type": "code", 52 | "source": [ 53 | "# Parameters of the log-normal distribution\n", 54 | "mu = 2 # Mean of the logarithm of the distribution\n", 55 | "sigma = 1 # Standard deviation of the logarithm of the distribution" 56 | ], 57 | "metadata": { 58 | "id": "l57zAuWzuWez" 59 | }, 60 | "execution_count": null, 61 | "outputs": [] 62 | }, 63 | { 64 | "cell_type": "code", 65 | "source": [ 66 | "# Generate a range of x values\n", 67 | "x = np.linspace(0.1, 150, 1000)\n", 68 | "\n", 69 | "# Calculate the probability density function (PDF) of the log-normal distribution\n", 70 | "pdf = (1 / (x * sigma * np.sqrt(2 * np.pi))) * np.exp(-(np.log(x) - mu)**2 / (2 * sigma**2))\n" 71 | ], 72 | "metadata": { 73 | "id": "PyAfUcQit_e_" 74 | }, 75 | "execution_count": null, 76 | "outputs": [] 77 | }, 78 | { 79 | "cell_type": "code", 80 | "source": [ 81 | "# Plot the log-normal distribution\n", 82 | "plt.figure(figsize=(8, 6))\n", 83 | "plt.plot(x, pdf, color='orange')\n", 84 | "plt.title('Log-Normal Distribution')\n", 85 | "plt.xlabel('x')\n", 86 | "plt.ylabel('Probability Density')\n", 87 | "plt.legend()\n", 88 | "plt.show()" 89 | ], 90 | "metadata": { 91 | "colab": { 92 | "base_uri": "https://localhost:8080/", 93 | "height": 581 94 | }, 95 | "id": "xgHMu1jVt_bc", 96 | "outputId": "b4c631e0-ec95-41e8-f538-5a6980bd7a1e" 97 | }, 98 | "execution_count": null, 99 | "outputs": [ 100 | { 101 | "output_type": "stream", 102 | "name": "stderr", 103 | "text": [ 104 | "WARNING:matplotlib.legend:No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n" 105 | ] 106 | }, 107 | { 108 | "output_type": "display_data", 109 | "data": { 110 | "text/plain": [ 111 | "
" 112 | ], 113 | "image/png": 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\n" 114 | }, 115 | "metadata": {} 116 | } 117 | ] 118 | }, 119 | { 120 | "cell_type": "markdown", 121 | "source": [ 122 | "Wondering a Right-Skewed Distribution?\n", 123 | "\n", 124 | "-- Not all Right-Skewed Distribution are Log Normal.\n", 125 | "\n", 126 | "Only if the natural logarithm of a variable follows a normal distribution, then the variable itself follows a log-normal distribution.\n", 127 | "\n", 128 | "\n", 129 | "If **𝑋 is Log-Normal**, then\n", 130 | "\n", 131 | "### **log(𝑋) ~ N (𝜇,𝜎)**\n" 132 | ], 133 | "metadata": { 134 | "id": "p-QjJeOXpWWp" 135 | } 136 | }, 137 | { 138 | "cell_type": "markdown", 139 | "source": [ 140 | 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)" 141 | ], 142 | "metadata": { 143 | "id": "u3EOHaaspdSA" 144 | } 145 | }, 146 | { 147 | "cell_type": "markdown", 148 | "source": [ 149 | "### Characteristics:\n", 150 | "\n", 151 | "* The log-normal distribution is defined only for positive real numbers.\n", 152 | "* It is characterized by two parameters:\n", 153 | "\n", 154 | " - the mean (𝜇) and the standard deviation (𝜎) of the associated normal distribution of the natural logarithm." 155 | ], 156 | "metadata": { 157 | "id": "ci9HQpXwpgL-" 158 | } 159 | }, 160 | { 161 | "cell_type": "markdown", 162 | "source": [ 163 | "![image.png](data:image/png;base64,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)" 164 | ], 165 | "metadata": { 166 | "id": "Yytxv-6Wv9mb" 167 | } 168 | }, 169 | { 170 | "cell_type": "markdown", 171 | "source": [ 172 | "### Real Life Examples of Log-Normal Distribution:\n", 173 | "\n", 174 | "1. The length of comments posted on your favorite YouTuber's channel follows a log-normal distribution, with most comments being short and concise, while fewer comments are longer and more detailed, resembling a long right-tailed distribution.\n", 175 | "\n", 176 | "2. Users interacting with news apps and online articles exhibit a log-normal distribution of engagement metrics, with a concentration of users at lower engagement levels and a long right tail representing highly engaged users.\n", 177 | "\n", 178 | "3. Log-normal distributions are often used to model income distributions in societies with significant income inequality (i.e long right tail of distribution captures the presence of high-income earners, while the bulk of the distribution represents lower and middle-income households).\n" 179 | ], 180 | "metadata": { 181 | "id": "JXq5_yh-r_V5" 182 | } 183 | }, 184 | { 185 | "cell_type": "markdown", 186 | "source": [ 187 | "> Stay tuned for more Statistical Concepts and Don't forget to **Star** this Github Repository for more such contents and consider sharing with others." 188 | ], 189 | "metadata": { 190 | "id": "cNiuq5GdBjus" 191 | } 192 | }, 193 | { 194 | "cell_type": "code", 195 | "source": [], 196 | "metadata": { 197 | "id": "VtvbB_oKBkUw" 198 | }, 199 | "execution_count": null, 200 | "outputs": [] 201 | } 202 | ] 203 | } --------------------------------------------------------------------------------