Skip to main content
Elementary Statistics Supplementary Notes
David W. Lyons
Contents
Index
Search Book
close
Search Results:
No results.
Prev
Up
Next
\( \DeclareMathOperator{\AVE}{AVE} \DeclareMathOperator{\SD}{SD} \DeclareMathOperator{\rms}{rms} \DeclareMathOperator{\REGR}{REGR} \DeclareMathOperator{\AND}{AND} \DeclareMathOperator{\OR}{OR} \DeclareMathOperator{\OPPOSITE}{OPPOSITE} \DeclareMathOperator{\Inn}{Inn} \DeclareMathOperator{\lcm}{lcm} \DeclareMathOperator{\Aut}{Aut} \DeclareMathOperator{\Perm}{Perm} \DeclareMathOperator{\Stab}{Stab} \DeclareMathOperator{\Orb}{Orb} \DeclareMathOperator{\Rot}{Rot} \DeclareMathOperator{\re}{Re} \DeclareMathOperator{\im}{Im} \DeclareMathOperator{\img}{image} \DeclareMathOperator{\conj}{conj} \DeclareMathOperator{\Id}{Id} \newcommand{\C}{\mathbb{C}} \newcommand{\Quat}{\mathbb{H}} \newcommand{\extC}{\hat{\C}} \newcommand{\R}{\mathbb{R}} \newcommand{\extR}{\hat{\R}} \newcommand{\F}{\mathbb{F}} \newcommand{\extF}{\hat{\F}} \newcommand{\Z}{\mathbb{Z}} \newcommand{\Proj}{\mathbb{P}} \newcommand{\Q}{\mathbb{Q}} \newcommand{\M}{{\rm \bf M}} \newcommand{\E}{{\rm \bf E}} \renewcommand{\H}{{\rm \bf H}} \newcommand{\HU}{\H_{\U}} \renewcommand{\S}{{\rm \bf S}} \newcommand{\D}{\mathbb{D}} \newcommand{\closedD}{\hat{\D}} \newcommand{\U}{\mathbb{U}} \newcommand{\spacer}{\rule[0cm]{0cm}{0cm}} \newcommand{\MOD}{\mathbin{\text{MOD}}} \newcommand{\twotwo}[4]{\left[ \begin{array}{cc} #1 \amp #2 \\ #3 \amp #4 \end{array} \right]} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \definecolor{fillinmathshade}{gray}{0.9} \newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}} \)
Front Matter
Preface
1
Commentary and Skills
1.1
General
1.1.1
Rounding in calculations
1.1.2
Solving equations
1.1.3
Solving equations practice problems
1.2
Histograms
1.2.1
Examples
1.2.2
Percentile
1.2.3
Histogram practice problems
1.2.3
Exercises
1.3
Displacement, deviation
1.3.1
Displacement, Deviation
1.4
Normal Distributions
1.4.1
Using the Normal Table
1.4.2
Examples
1.4.3
Normal curve practice problems (Ch 5)
1.4.3
Exercises
1.5
Lines: Slope, Rise, and Run
1.5.1
Basics for lines
1.5.2
Practice problems for lines
1.6
Regression
1.6.1
Terminology: the term "football-shaped"
1.6.2
Examples
1.6.3
Regression practice problems
1.6.3
Exercises
1.7
Probability
1.7.1
Probability terminology (Ch 13–15)
1.7.2
Probability Practice Problems
1.7.2
Exercises
1.8
Sampling
1.8.1
The Law of Averages (Ch 16,17)
1.8.2
A special case SD formula (Ch 17)
1.8.3
Sum of Draws Practice Problems (Ch 16–18)
1.8.3
Exercises
2
Summary Notes
2.1
Descriptive Statistics
2.1.1
The Histogram
2.1.2
Average, Median, Percentiles
2.1.3
Operations on Lists
2.1.4
Standard Deviation and Standard Units
2.1.5
The Standard Normal Distribution
2.2
Regression
2.2.1
RMS Error of Fit
2.2.2
The Regression Line
2.2.3
The Scatter Diagram
2.2.4
More on Prediction and Error
2.2.5
Facts about the correlation coefficient
\(r\)
2.2.6
The Regression Effect and the Regression Fallacy
2.3
Probability
2.3.1
Box Models
2.3.2
Complement, Intersection, Union of Events
2.3.3
Conditional Probability
2.3.4
Independent and Dependent Events
2.3.5
Probability Rules
2.3.6
The Binomial Formula
2.4
Sampling Theory
2.4.1
Sampling Vocabulary and Formulas
2.4.2
The Central Limit Theorem
2.4.3
Basic prediction problem
2.4.4
Basic Inference Problem
Back Matter
Colophon
About the author
Index
Notation
References
Elementary Statistics Supplementary Notes
David W. Lyons
Department of Mathematical Sciences
Lebanon Valley College
Annville, PA, USA
lyons@lvc.edu
©2021 David W. Lyons
October 2023 Edition, revised: September 18, 2024
Preface
