Statistics 101

From Data Analysis and Predictive Modeling to Measuring Distribution and Determining Probability, Your Essential Guide to Statistics

David Borman

• Publisher: Adams Media
• Year: 2018
• eBook ISBN: 9781507208182
• Topic: Mathematics
• Subtopic: Business Mathematics
• Index: Mathematics

A comprehensive guide to statistics—with information on collecting, measuring, analyzing, and presenting statistical data—continuing the popular 101 series.

Data is everywhere. In the age of the internet and social media, we’re responsible for consuming, evaluating, and analyzing data on a daily basis. From understanding the percentage probability that it will rain later today, to evaluating your risk of a health problem, or the fluctuations in the stock market, statistics impact our lives in a variety of ways, and are vital to a variety of careers and fields of practice.

Unfortunately, most statistics text books just make us want to take a snooze, but with Statistics 101, you’ll learn the basics of statistics in a way that is both easy-to-understand and apply. From learning the theory of probability and different kinds of distribution concepts, to identifying data patterns and graphing and presenting precise findings, this essential guide can help turn statistical math from scary and complicated, to easy and fun.

Whether you are a student looking to supplement your learning, a worker hoping to better understand how statistics works for your job, or a lifelong learner looking to improve your grasp of the world, Statistics 101 has you covered.

INDEX

A note about the index: The pages referenced in this index refer to the page numbers in the print edition. Clicking on a page number will take you to the ebook location that corresponds to the beginning of that page in the print edition. For a comprehensive list of locations of any word or phrase, use your reading system’s search function.

A

Academic research, 12–13, 52–53, 131–33, 138–40, 168–70, 173–79. See also Test scores study

Advertising research, 10–11, 34–36, 177. See also Marketing studies

Analytics

descriptive analytics, 15, 17–20

ethics of, 215–18

inferential analytics, 20–22

object of, 19

statistical analytics, 19–22

types of, 19–22

ANOVA (analysis of variance). See also Variance

basics of, 197–99

hypothesis testing and, 198, 200–201

one-way analysis, 200–201

results from, 21–22, 186, 197–99

test for, 186, 197–201

t-test and, 198

Artificial intelligence, 219

B

Back testing, 179

Ball bearings study, 40, 196

Bar charts, 36, 41, 43–44, 125

Bell curves

chi-square distribution and, 191–92

confidence intervals and, 170

data collection and, 119–21, 129

empirical rule and, 100–101

explanation of, 45

groups of data and, 166–67

hypothesis testing and, 136

inverted bell, 124

normal distribution and, 98–105, 191

observations and, ...

Table of contents

• Cover
• Introduction
• The Basics of Statistics
• How Statistics Are Used
• Key Points of Statistical Analytics
• Mixing Up the Test
• Knowing the Quality of Your Data
• Modeling Risk, Measuring Samples, and Predicting
• Frequency Distributions
• Dot Plots, Bar Charts, Histograms, Frequency Polygons
• More Ways to See Numbers-Based Data
• The Mean, the Median, and the Mode
• The Range and Interquartile Range
• Mean Deviations and Variations
• The Law of Large Numbers
• Empirical Probability and Subjective Probability
• Yes or No
• Basics of Probability Distributions
• Analyzing Probability Distributions
• The Roll of the Dice
• Normal Distribution
• The Central Limit Theorem
• Outliers on the Bell Curve
• Limited and Unlimited Data
• Variance as a Measure of Risk
• Size Matters
• Measuring Distribution
• What Are Confidence Intervals?
• Measuring Confidence Intervals
• The Basics of Hypothesis Testing
• Taking It to the Next Level
• Measuring Large Sample Population Proportions
• The Hypothesis Test
• Patterns in Data
• Predicting the Future
• The t-Distribution
• Groups of Data
• Tests for Two Populations
• Statistics in Academic Research
• Getting Good Data
• A Regression Example
• What Regression Data Tables Tell Us
• Determining the Causes
• Chi-Square Distribution
• ANOVA Basics
• ANOVA at Work
• Quantitative Research Design
• Quality of the Data
• Quantity and Sourcing of the Data
• Appropriate Survey Design
• The Ethics of Statistics
• Big Data, Supercomputers, and Artificial Intelligence
• Photographs
• About the Author
• Index
• Copyright