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Essential Statistics for Non-STEM Data Analysts

Essential Statistics for Non-STEM Data Analysts

By : Li
4.6 (10)
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Essential Statistics for Non-STEM Data Analysts

Essential Statistics for Non-STEM Data Analysts

4.6 (10)
By: Li

Overview of this book

Statistics remain the backbone of modern analysis tasks, helping you to interpret the results produced by data science pipelines. This book is a detailed guide covering the math and various statistical methods required for undertaking data science tasks. The book starts by showing you how to preprocess data and inspect distributions and correlations from a statistical perspective. You’ll then get to grips with the fundamentals of statistical analysis and apply its concepts to real-world datasets. As you advance, you’ll find out how statistical concepts emerge from different stages of data science pipelines, understand the summary of datasets in the language of statistics, and use it to build a solid foundation for robust data products such as explanatory models and predictive models. Once you’ve uncovered the working mechanism of data science algorithms, you’ll cover essential concepts for efficient data collection, cleaning, mining, visualization, and analysis. Finally, you’ll implement statistical methods in key machine learning tasks such as classification, regression, tree-based methods, and ensemble learning. By the end of this Essential Statistics for Non-STEM Data Analysts book, you’ll have learned how to build and present a self-contained, statistics-backed data product to meet your business goals.
Table of Contents (19 chapters)
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1
Section 1: Getting Started with Statistics for Data Science
5
Section 2: Essentials of Statistical Analysis
10
Section 3: Statistics for Machine Learning
15
Section 4: Appendix

Understanding common discrete probability distributions

In this section, we will introduce you to some of the most important and common distributions. I will first demonstrate some examples and the mechanism behind them that exhibits corresponding probability. Then I will calculate the expectation and variance of the distribution, show you samples that generated from the probability, and plot its histogram plot and boxplot.

The expectation of X that follows a distribution is the mean value that X can take. For example, with PDF the mean is calculated as follows:

The variance measures the spreading behavior of the distribution and is calculated as follows:

μ and σ2 are the common symbols for expectation and variance.

X is called a random variable. Note that it is the outcome of a random experiment. However, not all random variables represent outcomes of events. For example, you can take Y = exp(X), and Y is also...

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