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  • Statistics and Probability
ANOVA Calculations
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This supplemental material is an online resource of OpenIntro Statistics, a textbook available for free in PDF at openintro.org and in paperback for about $10 at amazon.com.

Subject:
Mathematics
Statistics and Probability
Material Type:
Reading
Provider:
OpenIntro
Author:
Emiliano Vega
Ralf Youtz
Date Added:
04/25/2019
Advanced High School Statistics
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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 real, interesting data.
(3) Data are messy, and statistical tools are imperfect. But, when you understand the strengths and weaknesses of these tools, you can use them to learn about the real world.
Textbook overview
The chapters of this book are as follows:

1. Data collection. Data structures, variables, and basic data collection techniques.
2. Summarizing data. Data summaries and graphics.
3. Probability. The basic principles of probability.
4. Distributions of random variables. Introduction to key distributions, and how the normal model applies to the sample mean and sample proportion.
5. Foundation for inference. General ideas for statistical inference in the context of estimating the population proportion.
6. Inference for categorical data. Inference for proportions using the normal and chisquare distributions.
7. Inference for numerical data. Inference for one or two sample means using the t distribution, and comparisons of many means using ANOVA.
8. Introduction to linear regression. An introduction to regression with two variables.
Instructions are also provided in several sections for using Casio and TI calculators.

Subject:
Statistics and Probability
Material Type:
Textbook
Author:
Christopher Barr
David Diez
Leah Dorazio
Mine Çetinkaya-Rundel
Date Added:
06/23/2020
Advanced High School Statistics
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This textbook is part of the OpenIntro Statistics series and offers complete coverage of the high school AP Statistics curriculum. Real data and plenty of inline examples and exercises make this an engaging and readable book. Links to lecture slides, video overviews, calculator tutorials, and video solutions to selected end of chapter exercises make this an ideal choice for any high school or Community College teacher. In fact, Portland Community College recently adopted this textbook for its Introductory Statistics course, and it estimates that this will save their students $250,000 per year. Find out more at: openintro.org/ahss

View our video tutorials here:
openintro.org/casio
openintro.org/TI

Subject:
Statistics and Probability
Material Type:
Textbook
Provider:
OpenIntro
Author:
Christopher Barr
David Diez
Leah Dorazio
Mine Cetinkaya-Rundel
Date Added:
04/24/2019
Advanced Statistics
Conditions of Use:
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This course is oriented toward US high school students. The course is divided into 10 units of study. The first five units build the foundation of concepts, vocabulary, knowledge, and skills for success in the remainder of the course. In the final five units, we will take the plunge into the domain of inferential statistics, where we make statistical decisions based on the data that we have collected.

Subject:
Statistics and Probability
Material Type:
Full Course
Provider:
The Saylor Foundation
Date Added:
04/04/2019
Answering questions with data: Introductory Statistics for Psychology Students
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This is a free textbook teaching introductory statistics for undergraduates in Psychology. This textbook is part of a larger OER course package for teaching undergraduate statistics in Psychology, including this textbook, a lab manual, and a course website. All of the materials are free and copiable, with source code maintained in Github repositories.

Table of Contents
1 Why Statistics?
2 Describing Data
3 Correlation
4 Probability, Sampling, and Estimation
5 Foundations for inference
6 t-Tests
7 ANOVA
8 Repeated Measures ANOVA
9 Factorial ANOVA
10 More On Factorial Designs
11 Simulating Data
12 Thinking about answering questions with data
13 GIFs

Subject:
Statistics and Probability
Psychology
Material Type:
Textbook
Author:
Matthew J. C. Crump
Date Added:
06/23/2020
Applied Probability
Conditions of Use:
No Strings Attached
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This is a "first course" in the sense that it presumes no previous course in probability. The mathematical prerequisites are ordinary calculus and the elements of matrix algebra. A few standard series and integrals are used, and double integrals are evaluated as iterated integrals. The reader who can evaluate simple integrals can learn quickly from the examples how to deal with the iterated integrals used in the theory of expectation and conditional expectation. Appendix B provides a convenient compendium of mathematical facts used frequently in this work. And the symbolic toolbox, implementing MAPLE, may be used to evaluate integrals, if desired.

In addition to an introduction to the essential features of basic probability in terms of a precise mathematical model, the work describes and employs user defined MATLAB procedures and functions (which we refer to as m-programs, or simply programs) to solve many important problems in basic probability. This should make the work useful as a stand-alone exposition as well as a supplement to any of several current textbooks.

Most of the programs developed here were written in earlier versions of MATLAB, but have been revised slightly to make them quite compatible with MATLAB 7. In a few cases, alternate implementations are available in the Statistics Toolbox, but are implemented here directly from the basic MATLAB program, so that students need only that program (and the symbolic mathematics toolbox, if they desire its aid in evaluating integrals).

Since machine methods require precise formulation of problems in appropriate mathematical form, it is necessary to provide some supplementary analytical material, principally the so-called minterm analysis. This material is not only important for computational purposes, but is also useful in displaying some of the structure of the relationships among events.

Table of Contents
1 Preface
2 Probability Systems
3 Minterm Analysis
4 Conditional Probability
5 Independence of Events
6 Conditional Independence
7 Random Variables and Probabilities
8 Distribution and Density Functions
9 Random Vectors and joint Distributions
10 Independent Classes of Random Variables
11 Functions of Random Variables
12 Mathematical Expectation
13 Variance, Covariance, Linear Regression
14 Transform Methods
15 Conditional Expectation, Regression
16 Random Selection
17 Conditional Independence, Given a Random Vector
18 Appendices

Subject:
Statistics and Probability
Material Type:
Textbook
Author:
Paul Pfeiffer
Date Added:
06/26/2020
Applied Statistics, Spring 2009
Rating

I designed the course for graduate students who use statistics in their research, plan to use statistics, or need to interpret statistical analyses performed by others. The primary audience are graduate students in the environmental sciences, but the course should benefit just about anyone who is in graduate school in the natural sciences. The course is not designed for those who want a simple overview of statistics; we’ll learn by analyzing real data. This course or equivalent is required for UMB Biology and EEOS Ph.D. students. It is a recommended course for several of the intercampus graduate school of marine science program options.

Subject:
Statistics and Probability
Material Type:
Full Course
Provider:
UMass Boston
Provider Set:
UMass Boston OpenCourseWare
Author:
Eugene Gallagher
Date Added:
04/25/2019
The Art of the Probable: Literature and Probability, Spring 2008
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The Art of the Probable" addresses the history of scientific ideas, in particular the emergence and development of mathematical probability. But it is neither meant to be a history of the exact sciences per se nor an annex to, say, the Course 6 curriculum in probability and statistics. Rather, our objective is to focus on the formal, thematic, and rhetorical features that imaginative literature shares with texts in the history of probability. These shared issues include (but are not limited to): the attempt to quantify or otherwise explain the presence of chance, risk, and contingency in everyday life; the deduction of causes for phenomena that are knowable only in their effects; and, above all, the question of what it means to think and act rationally in an uncertain world. Our course therefore aims to broaden students’ appreciation for and understanding of how literature interacts with--both reflecting upon and contributing to--the scientific understanding of the world. We are just as centrally committed to encouraging students to regard imaginative literature as a unique contribution to knowledge in its own right, and to see literary works of art as objects that demand and richly repay close critical analysis. It is our hope that the course will serve students well if they elect to pursue further work in Literature or other discipline in SHASS, and also enrich or complement their understanding of probability and statistics in other scientific and engineering subjects they elect to take.

Subject:
Arts and Humanities
Literature
Philosophy
Religious Studies
Statistics and Probability
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Jackson, Noel
Kibel, Alvin
Raman, Shankar
Date Added:
01/01/2008
Biological Engineering II: Instrumentation and Measurement, Fall 2006
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This course covers sensing and measurement for quantitative molecular/cell/tissue analysis, in terms of genetic, biochemical, and biophysical properties. Methods include light and fluorescence microscopies; electro-mechanical probes such as atomic force microscopy, laser and magnetic traps, and MEMS devices; and the application of statistics, probability and noise analysis to experimental data.

Subject:
Electronic Technology
Statistics and Probability
Biology
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
So, Peter
Date Added:
01/01/2006
Biostatistics for Medical Product Regulation
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This course provides a broad understanding of the application of biostatistics in a regulatory context. Reviews the relevant regulations and guidance documents. Includes topics such as basic study design, target population, comparison groups, and endpoints. Addresses analysis issues with emphasis on the regulatory aspects, including issues of missing data and informative censoring. Discusses safety monitoring, interim analysis and early termination of trials with a focus on regulatory implications.

Subject:
Health, Medicine and Nursing
Statistics and Probability
Material Type:
Full Course
Lecture Notes
Reading
Syllabus
Provider:
Johns Hopkins Bloomberg School of Public Health
Provider Set:
JHSPH OpenCourseWare
Author:
Mary Foulkes
Simon Day
Date Added:
09/15/2008
Business Statistics
Conditions of Use:
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Introductory survey of quantitative methods (QM), or the application of statistics in the workplace. Examines techniques for gathering, analyzing, and interpreting data in any number of fieldsĺÎĺ from anthropology to hedge fund management.

Subject:
Business and Communication
Management
Statistics and Probability
Material Type:
Activity/Lab
Full Course
Homework/Assignment
Reading
Syllabus
Provider:
The Saylor Foundation
Date Added:
09/07/2018
City Life - Inquiry and Problem Solving Exercise
Conditions of Use:
No Strings Attached
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Living in a big city like New York can be very challenging. City planning is an interdisciplinary enterprise where social scientists, humanists, psychologists, scientists, statisticians, citizens, politicians, etc. come together to offer solutions to improve quality of life in the city. To find such solutions, these people need clear and reliable (qualitative and quantitative) information about specific challenges that residents and visitors face For the variety of stakeholders in the city, many different things might be considered worthy of study, depending on their interests and needs regarding, e.g., employment, financial status, family size, healthcare, mobility, and education.
For example, do you know whether your neighborhood issufficiently protected from a fire? What about other neighborhoods in the city? To what extent does a CUNY degree help a person gain employment in the City? In which ways do race or gender or sexual preference play a role in how people experience city life? Can these be quantified in dollar terms? Once you have identified a problem, write an essay that describes a question
about city life that you believe is worthy of a statistical study.

Subject:
Statistics and Probability
Material Type:
Textbook
Provider:
CUNY Academic Works
Provider Set:
LaGuardia Community College
Author:
Milena Cuellar
Date Added:
01/01/2017
Collaborative Statistics
Conditions of Use:
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Table of Contents

1 Sampling and Data
2 Descriptive Statistics
3 Probability Topics
4 Discrete Random Variables
5 Continuous Random Variables
6 The Normal Distribution
7 The Central Limit Theorem
8 Confidence Intervals
9 Hypothesis Testing: Single Mean and Single Proportion
10 Hypothesis Testing: Two Means, Paired Data, Two Proportions
11 The Chi-Square Distribution
12 Linear Regression and Correlation
13 F Distribution and ANOVA
14 Appendix
15 Tables

Collaborative Statistics was written by Barbara Illowsky and Susan Dean, faculty members at De Anza Collegein Cupertino, California. The textbook was developed over several years and has been used in regularand honors-level classroom settings and in distance learning classes. Courses using this textbook have beenarticulated by the University of California for transfer of credit. The textbook contains full materials forcourse offerings, including expository text, examples, labs, homework, and projects. A Teacher's Guide iscurrently available in print form and on the Connexions site at and supplemental course materials including additional problem sets and video lectures are available. The on-line text for each of these collections collections willmeet the Section 508 standards for accessibility.

An on-line course based on the textbook was also developed by Illowsky and Dean. It has won an awardas the best on-line California community college course. The on-line course will be available at a later dateas a collection in Connexions, and each lesson in the on-line course will be linked to the on-line textbookchapter. The on-line course will include, in addition to expository text and examples, videos of courselectures in captioned and non-captioned format.

Subject:
Statistics and Probability
Material Type:
Textbook
Author:
Barbara Illowsky
Susan Dean
Date Added:
06/29/2020
Computation for Biological Engineers, Fall 2006
Conditions of Use:
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This course covers the analytical, graphical, and numerical methods supporting the analysis and design of integrated biological systems. Topics include modularity and abstraction in biological systems, mathematical encoding of detailed physical problems, numerical methods for solving the dynamics of continuous and discrete chemical systems, statistics and probability in dynamic systems, applied local and global optimization, simple feedback and control analysis, statistics and probability in pattern recognition.

Subject:
Statistics and Probability
Genetics
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Alm, Eric
Date Added:
01/01/2006
Confidence Intervals
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The applets in this section of Statistical Java allow you to see how levels of confidence are achieved through repeated sampling. The confidence intervals are related to the probability of successes in a Binomial experiment.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Consortium for the Advancement of Undergraduate Statistics Education
Provider Set:
Causeweb.org
Author:
Anderson-Cook, C.
C.Anderson-Cook
Dorai-Raj, S.
Robinson, T.
S.Dorai-Raj
T.Robinson
Date Added:
04/04/2019
Design of Electromechanical Robotic Systems, Fall 2009
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This course covers the design, construction, and testing of field robotic systems, through team projects with each student responsible for a specific subsystem. Projects focus on electronics, instrumentation, and machine elements. Design for operation in uncertain conditions is a focus point, with ocean waves and marine structures as a central theme. Topics include basic statistics, linear systems, Fourier transforms, random processes, spectra, ethics in engineering practice, and extreme events with applications in design.

Subject:
Environmental Science
Statistics and Probability
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Chin, Harrison
Hover, Franz
Date Added:
01/01/2010
Essentials of Probability and Statistical Inference IV: Algorithmic and Nonparametric Approaches
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Introduces the theory and application of modern, computationally-based methods for exploring and drawing inferences from data. Covers re-sampling methods, non-parametric regression, prediction, and dimension reduction and clustering. Specific topics include Monte Carlo simulation, bootstrap cross-validation, splines, local weighted regression, CART, random forests, neural networks, support vector machines, and hierarchical clustering. De-emphasizes proofs and replaces them with extended discussion of interpretation of results and simulation and data analysis for illustration.

Subject:
Statistics and Probability
Material Type:
Full Course
Lecture Notes
Syllabus
Provider:
Johns Hopkins Bloomberg School of Public Health
Provider Set:
JHSPH OpenCourseWare
Author:
Irizarry, Rafael
Date Added:
04/25/2019
How to Process, Analyze and Visualize Data, January IAP 2012
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This course is an introduction to data cleaning, analysis and visualization. We will teach the basics of data analysis through concrete examples. You will learn how to take raw data, extract meaningful information, use statistical tools, and make visualizations. This was offered as a non-credit course during the Independent Activities Period (IAP), which is a special 4-week term at MIT that runs from the first week of January until the end of the month.

Subject:
Statistics and Probability
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Adam Marcus
Eugene Wu
Date Added:
01/01/2012
Interactive Statistics
Conditions of Use:
No Strings Attached
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Ancillary materials for interactive statistics:

1: Random Number Generator
2: Completing a Frequency, Relative, and Cumulative Relative Frequency Table Activity
3: The Box Plot Creation Game
4: Online Calculator of the Mean and Median
5: Online Mean, Median, and Mode Calculator From a Frequency Table
6: Standard Deviation Calculator
7: Guess the Standard Deviation Game
8: Mean and Standard Deviation for Grouped Frequency Tables Calculator
9: Z-Score Calculator
10. Expected Value and Standard Deviation Calculator
11: Be the Player Or the Casino Expected Value Game
12: Binomial Distribution Calculator
13: Normal Probability Calculator
14: Calculator For the Sampling Distribution for Means
15: Discover the Central Limit Theorem Activity
16: Sampling Distribution Calculator for Sums
17: Observe the Relationship Between the Binomial and Normal Distributions
18: Confidence Interval Calculator for a Mean Calculator With Statistics (Sigma Unknown)
19: Visually Compare the Student's t Distribution to the Normal Distribution
20: Sample Size for a Mean Calculator
21: Confidence Interval for a Mean (With Data) Calculator
22: Interactively Observe the Effect of Changing the Confidence Level and the Sample Size
23: Confidence Interval for a Mean (With Statistics) Calculator
24: Confidence Interval Calculator for a Population Mean (With Data, Sigma Unknown)
25: Confidence Interval For Proportions Calculator
26: Needed Sample Size for a Confidence Interval for a Population Proportion Calculator
27: Hypothesis Test for a Population Mean Given Statistics Calculator
28: Hypothesis Test for a Population Mean With Data Calculator
29: Hypothesis Test for a Population Proportion Calculator
30: Two Independent Samples With Data Hypothesis Test and Confidence Interval Calculator
31: Two Independent Samples With Statistics and Known Population Standard Deviations Hypothesis Test and Confidence Interval Calculator
32: Two Independent Samples With Statistics Calculator
33: Hypothesis Test and Confidence Interval Calculator: Difference Between Population Proportions
34: Hypothesis Test and Confidence Interval Calculator for Two Dependent Samples
35: Visualize the Chi-Square Distribution
36: Chi-Square Goodness of Fit Test Calculator
37: Chi-Square Test For Independence Calculator
38: Chi-Square Test For Homogeneity Calculator
39: Scatter Plot Calculator
40: Scatter Plot, Regression Line, r,and r^2 Calculator
41: Full Regression Analysis Calculator
42: Shoot Down Money at the Correct Correlation Game
43: Visualize How Changing the Numerator and Denominator Degrees of Freedom Changes the Graph of the F-Distribution
44: ANOVA Calculator
45: Central Limit Theorem Activity

Subject:
Statistics and Probability
Material Type:
Interactive
Author:
Larry Green
Date Added:
04/29/2020
Introduction to Applied Statistics, Summer 2011
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This course provides graduate students in the sciences with an intensive introduction to applied statistics. Topics include descriptive statistics, probability, non-parametric methods, estimation methods, hypothesis testing, correlation and linear regression, simulation, and robustness considerations. Calculations will be done using handheld calculators and the Minitab Statistical Computer Software.

Subject:
Statistics and Probability
Material Type:
Full Course
Reading
Syllabus
Provider:
UMass Boston
Provider Set:
UMass Boston OpenCourseWare
Author:
Eugene Gallagher
Date Added:
04/25/2019