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# Statistics

Descriptive statistics; probability; discrete and continuous (including the binomial, normal and T) distributions; sampling distributions; interval estimation; hypothesis testing; linear regression and correlation.

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Introductory Statistics follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs.

Access also available here: https://openstax.org/details/books/introductory-statistics

Sampling and Data
Descriptive Statistics
Probability Topics
Discrete Random Variables
Continuous Random Variables
The Normal Distribution
The Central Limit Theorem
Confidence Intervals
Hypothesis Testing with One Sample
Hypothesis Testing with Two Samples
The Chi-Square Distribution
Linear Regression and Correlation
F Distribution and One-Way ANOVA

Subject:
Mathematics
Statistics and Probability
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
Barbara Ilowsky
Susan Dean
07/19/2013
Conditional Remix & Share Permitted
CC BY-SA
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We hope readers will take away three ideas from this book in addition to forming a foundation of statistical thinking and methods.

(1) Statistics is an applied field with a wide range of practical applications.

(2) You don't have to be a math guru to learn from interesting, real data.

(3) Data are messy, and statistical tools are imperfect. However, when you understand the strengths and weaknesses of these tools, you can use them to learn interesting things about the world.

Reviews available here: https://open.umn.edu/opentextbooks/textbooks/introductory-statistics-with-randomization-and-simulation-first-edition

Subject:
Mathematics
Statistics and Probability
Material Type:
Textbook
Provider:
OpenIntro
Author:
Christopher Barr
David Diez
Mine Çetinkaya-Runde
04/24/2019
Conditional Remix & Share Permitted
CC BY-SA
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0.0 stars

Learning Statistics with R covers the contents of an introductory statistics class, as typically taught to undergraduate psychology students, focusing on the use of the R statistical software. The book discusses how to get started in R as well as giving an introduction to data manipulation and writing scripts. From a statistical perspective, the book discusses descriptive statistics and graphing first, followed by chapters on probability theory, sampling and estimation, and null hypothesis testing. After introducing the theory, the book covers the analysis of contingency tables, t-tests, ANOVAs and regression. Bayesian statistics are covered at the end of the book.

Subject:
Psychology
Social Science
Material Type:
Textbook
Provider:
University of New South Wales
Author:
Danielle Navarro
01/01/2018
Conditional Remix & Share Permitted
CC BY-SA
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This text is for an introductory level probability and statistics course with an intermediate algebra prerequisite. The focus of the text follows the American Statistical Association’s Guidelines for Assessment and Instruction in Statistics Education (GAISE). Software examples provided for Microsoft Excel, TI-84 & TI-89 calculators. A formula packet and pdf version of the text are available on the website http://mostlyharmlessstatistics.com. Students new to probability and statistics are sure to benefit from this fully ADA accessible and relevant textbook. The examples resonate with everyday life, the text is approachable, and has a conversational tone to provide an inclusive and easy to read format for students.

able of Contents
Chapter 1 Introduction to Data
Chapter 2 Organizing Data
Chapter 3 Descriptive Statistics
Chapter 4 Probability
Chapter 5 Discrete Probability Distributions
Chapter 6 Continuous Probability Distributions
Chapter 7 Confidence Intervals for One Population
Chapter 8 Hypothesis Tests for One Population
Chapter 9 Hypothesis Tests & Confidence Intervals for Two Populations
Chapter 10 Chi-Square Tests
Chapter 11 Analysis of Variance
Chapter 12 Correlation and Regression
Chapter 12 Formulas
Chapter 12 Exercises
Chapter 13 Nonparametric Tests

Subject:
Mathematics
Statistics and Probability
Material Type:
Textbook
Author:
Portland State University
Rachel L. Webb
10/14/2021
Conditional Remix & Share Permitted
CC BY-NC-SA
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PowerPoint Slides to accompany Chapter 12 of OpenStax Statistics textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax Statistics textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Mathematics
Statistics and Probability
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
07/30/2019
Conditional Remix & Share Permitted
CC BY-NC-SA
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PowerPoint Slides to accompany Chapter 1 of OpenStax Statistics textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax Statistics textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Applied Science
Computer Science
Mathematics
Statistics and Probability
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
07/30/2019
Conditional Remix & Share Permitted
CC BY-NC-SA
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PowerPoint Slides to accompany Chapter 2 of OpenStax Statistics textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax Statistics textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Mathematics
Statistics and Probability
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
07/30/2019
Conditional Remix & Share Permitted
CC BY-NC-SA
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PowerPoint Slides to accompany Chapter 3 of OpenStax Statistics textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax Statistics textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Mathematics
Statistics and Probability
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
07/30/2019
Conditional Remix & Share Permitted
CC BY-NC-SA
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PowerPoint Slides to accompany Chapter 4 of OpenStax Statistics textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax Statistics textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Mathematics
Statistics and Probability
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
07/30/2019
Conditional Remix & Share Permitted
CC BY-NC-SA
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PowerPoint Slides to accompany Chapter 6 of OpenStax Statistics textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax Statistics textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Mathematics
Statistics and Probability
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
07/30/2019
Conditional Remix & Share Permitted
CC BY-NC-SA
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PowerPoint Slides to accompany Chapter 7 of OpenStax Statistics textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax Statistics textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Mathematics
Statistics and Probability
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
07/30/2019
Conditional Remix & Share Permitted
CC BY-NC-SA
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0.0 stars

PowerPoint Slides to accompany Chapter 8 of OpenStax Statistics textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax Statistics textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Mathematics
Statistics and Probability
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
07/30/2019
Conditional Remix & Share Permitted
CC BY-NC-SA
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0.0 stars

PowerPoint Slides to accompany Chapter 9 of OpenStax Statistics textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax Statistics textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Mathematics
Statistics and Probability
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
07/30/2019
Conditional Remix & Share Permitted
CC BY-SA
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Significant Statistics: An Introduction to Statistics was adapted and original content added by John Morgan Russell. It is adapted from content published by OpenStax Introductory Statistics, OpenIntro Statistics, and Introductory Statistics for the Life and Biomedical Sciences.

Significant Statistics: An Introduction to Statistics is intended for the one-semester introduction to statistics course for students who are not mathematics or engineering majors. It focuses on the interpretation of statistical results, especially in real world settings, and assumes that students have an understanding of intermediate algebra. In addition to end of section practice and homework sets, examples of each topic are explained step-by-step throughout the text and followed by a 'Your Turn' problem that is designed as extra practice for students.

Chapter 1: Sampling and Data
Chapter 2: Descriptive Statistics
Chapter 3: Basics of Probability
Chapter 4: Discrete Random Variables
Chapter 5: Continuous Random Variables
Chapter 6: Foundations of Inference
Chapter 7: Inference for One Sample
Chapter 8: Inference for Two Samples
Chapter 9: Simple Linear Regression
Class Group Activities

Subject:
Mathematics
Statistics and Probability
Material Type:
Textbook
Author:
Barbara Illowsky
Christopher D. Barr
David Harrington
John Morgan Russell
Julie Vu
Mine Cetinkaya-Rundel
Susan Dean
David Diez
04/27/2021
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CC BY-NC
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Statistical thinking is a way of understanding a complex world by describing it in relatively simple terms that nonetheless capture essential aspects of its structure, and that also provide us some idea of how uncertain we are about our knowledge. The foundations of statistical thinking come primarily from mathematics and statistics, but also from computer science, psychology, and other fields of study.

1 Introduction
2 Working with data
3 Probability
4 Summarizing data
5 Fitting models to data
6 Data Visualization
7 Sampling
8 Resampling and simulation
9 Hypothesis testing
10 Confidence intervals, effect sizes, and statistical power
11 Bayesian statistics
12 Modeling categorical relationships
13 Modeling continuous relationships
14 The General Linear Model
15 Comparing means
16 The process of statistical modeling: A practical example
17 Doing reproducible research

Subject:
Mathematics
Psychology
Social Science
Statistics and Probability
Material Type:
Textbook
Author:
Russell A. Poldrack