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Equivalence Tests: A Practical Primer for t Tests, Correlations, and Meta-Analyses
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Scientists should be able to provide support for the absence of a meaningful effect. Currently, researchers often incorrectly conclude an effect is absent based a nonsignificant result. A widely recommended approach within a frequentist framework is to test for equivalence. In equivalence tests, such as the two one-sided tests (TOST) procedure discussed in this article, an upper and lower equivalence bound is specified based on the smallest effect size of interest. The TOST procedure can be used to statistically reject the presence of effects large enough to be considered worthwhile. This practical primer with accompanying spreadsheet and R package enables psychologists to easily perform equivalence tests (and power analyses) by setting equivalence bounds based on standardized effect sizes and provides recommendations to prespecify equivalence bounds. Extending your statistical tool kit with equivalence tests is an easy way to improve your statistical and theoretical inferences.

Subject:
Psychology
Social Science
Material Type:
Reading
Provider:
Social Psychological and Personality Science
Author:
Daniël Lakens
Date Added:
08/07/2020
Evaluate This! Drawing Conclusions with Statistics
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CC BY-NC-SA
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This is a text-based STEM Inquiry, focusing on the mathematical standard of making inferences and justifying conclusions while evaluating reports based on data. The unit culminates in students presenting their findings comparing local to national data regarding the relationships between educational attainment and financial earnings.

Subject:
Education
Mathematics
Material Type:
Unit of Study
Date Added:
10/17/2017
Everything Maths: Grade 10
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CC BY-ND
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This is a comprehensive math textbook for Grade 10. It can be downloaded, read on-line on a mobile phone, computer or iPad. Every chapter has links to on-line video lessons and explanations. Summary presentations at the end of each chapter offer an overview of the content covered, with key points highlighted for easy revision. Topics covered are: algebraic expressions, equations and inequalities, exponents, number patterns, functions, finance and growth, trigonometry, analytical geometry, statistics, probability, Euclidean geometry, measurements. This book is based upon the original Free High School Science Text series.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Siyavula
Date Added:
04/12/2012
Everything Maths: Grade 11
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CC BY
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This is a comprehensive math textbook for Grade 11. It can be downloaded, read on-line on a mobile phone, computer or iPad. Every chapter has links to on-line video lessons and explanations. Summary presentations at the end of each chapter offer an overview of the content covered, with key points highlighted for easy revision. Topics covered are: language of mathematics, exponents, surds, error margins, quadratic sequences, finance, quadratic equations, quadratic inequalities, simultaneous equations, mathematical models, quadratic functions and graphs, hyperbolic functions and graphs, exponential functions and graphs, gradient at point, linear programming, geometry, trigonometry, statistics, independent variables, dependent events. This book is based upon the original Free High School Science Text series.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Siyavula
Date Added:
04/12/2012
Everything Maths: Grade 12
Unrestricted Use
CC BY
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This is a comprehensive math textbook for Grade 12. It can be downloaded, read on-line on a mobile phone, computer or iPad. Every chapter has links to on-line video lessons and explanations. Summary presentations at the end of each chapter offer an overview of the content covered, with key points highlighted for easy revision. Topics covered are: language of mathematics, logarithms, sequences and series, finance, factorising cubic polynomials, functions and graphs, differential calculus, linear programming, geometry, trigonometry, statistics, combinations and permutations. This book is based upon the original Free High School Science Text series.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Siyavula
Date Added:
04/12/2012
Evidence-based Software Engineering
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CC BY-SA
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This book discusses what is currently known about software engineering, based on an analysis of all the publicly available data. This aim is not as ambitious as it sounds, because there is not a great deal of data publicly available.

The intent is to provide material that is useful to professional developers working in industry; until recently researchers in software engineering have been more interested in vanity work, promoted by ego and bluster.

The material is organized in two parts, the first covering software engineering and the second the statistics likely to be needed for the analysis of software engineering data.

Subject:
Applied Science
Computer Science
Material Type:
Textbook
Provider:
Knowledge Software
Author:
Derek M. Jones
Date Added:
01/10/2022
The Evolution of Pearsons Correlation Coefficient/Exploring Relationships between Two Quantitative Variables
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CC BY-NC-SA
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The evolution of ideas is often ignored in the teaching of statistics. It is important to show students how definitions and formulas evolve. This activity describes a fairly straightforward activity of how measures of association can evolve.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Author:
Gary Kader
Date Added:
11/06/2014
Exam: Probability and Statistics for Computer Science - "Midterm Exam Review"
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CC BY-NC-SA
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Midterm Exam Review for the course "CS 217 – Probability and Statistics for Computer Science" delivered at the City College of New York in Spring 2019 by Evan Agovino as part of the Tech-in-Residence Corps program.

Subject:
Applied Science
Computer Science
Material Type:
Assessment
Provider:
CUNY Academic Works
Provider Set:
City College of New York
Author:
Evan Agovino
Nyc Tech-in-residence Corps
Date Added:
05/06/2020
Exam: Probability and Statistics for Computer Science - "Practice Final Exam"
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CC BY-NC-SA
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Practice Final Exam for the course "CS 217 – Probability and Statistics for Computer Science" delivered at the City College of New York in Spring 2019 by Evan Agovino as part of the Tech-in-Residence Corps program.

Subject:
Applied Science
Computer Science
Material Type:
Assessment
Provider:
CUNY Academic Works
Provider Set:
City College of New York
Author:
Evan Agovino
Nyc Tech-in-residence Corps
Date Added:
05/06/2020
Excel Templates as a Statistical Tool
Unrestricted Use
CC BY
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As mentioned in the syllabus, we are using MS Excel for statistical analysis in our OER stats course. We have, therefore, created three templates, one for each of the three units that the course is divided into, in order to help students make necessary calculations. Creating templates was a necessary steps since students are not expected to know how to use Excel functions for statistics and these templates are to guide students into getting relevant stats for their data, such as average, median, histograms, etc. Each template is divided into separate spreadsheets according to the topics. These templates help cut down the tedious work of evaluating statics and help students focus more on the concepts and analyse the results.

Subject:
Statistics and Probability
Material Type:
Teaching/Learning Strategy
Author:
Hersh Patel
Date Added:
01/30/2023
Exploratory Data Analysis in R
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CC BY-NC
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This OER is an online tutorial for students learning the software R. The OER is anintroductory guide to exploratory data analysis in R. It is aimed primarily at graduate students in the biomedical sciences, but could be more broadly applicable.

The materials are an interactive tutorial that guides students through some basic analysis, asking them to input code to answer questions about conducting such analysis in R. Hints for the correct code are provided and a short quiz tests them on what they have learnt in the tutorial.

This guide is written using the ‘learnr’ package in the R software environment. The underlying R Markdown source code for this OER material is provided for download, with the intention that lecturers can modify it according to specific requirements. Students can use these materials as a standalone learning resource and use these materials for further learning.

Subject:
Life Science
Material Type:
Activity/Lab
Date Added:
06/03/2019
Exploring Diversity with Statistics: Step-by-step JASP Guides
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CC BY-NC-ND
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These resources were created to compliment our undergraduate statistics lab manual, Applied Data Analysis in Psychology: Exploring Diversity with Statistics, published by Kendall Hunt publishing company. Like our lab manual, these JASP walk-through guides meaningfully and purposefully integrate and highlight diversity research to teach students how to analyze data in an open-source statistical program. The data sets utilized in these guides are from open-access databases (e.g., Pew Research Center, PLoS One, ICPSR, and more). Guides with step-by-step instructions, including annotated images and examples of how to report findings in APA format, are included for the following statistical tests: independent samples t test, paired samples t test, one-way ANOVA, two factor ANOVA, chi-square test, Pearson correlation, simple regression, and multiple regression.

Subject:
Education
Mathematics
Psychology
Social Science
Statistics and Probability
Material Type:
Activity/Lab
Data Set
Reading
Student Guide
Teaching/Learning Strategy
Provider:
University of Tennessee at Chattanooga
Author:
Ashlyn Moraine
Asia Palmer
Hannah Osborn
Kelsey Humphrey
Kendra Scott
Kristen J. Black
Ruth V. Walker
Date Added:
01/13/2022
Finite Order Statistic Experiment
Unrestricted Use
CC BY
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This resource consists of a Java applet and expository text. The applet is a simulation of the experiment of selecting n objects at random from the first m positive integers. The random variables of interest are the order statistics. The applet illustrates the distributions of the order statistics.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/16/2011
The Flaws of Averages
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CC BY-NC-SA
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This learning video presents an introduction to the Flaws of Averages using three exciting examples: the ''crossing of the river'' example, the ''cookie'' example, and the ''dance class'' example. Averages are often worthwhile representations of a set of data by a single descriptive number. The objective of this module, however, is to simply point out a few pitfalls that could arise if one is not attentive to details when calculating and interpreting averages. The essential prerequisite knowledge for this video lesson is the ability to calculate an average from a set of numbers. During this video lesson, students will learn about three flaws of averages: (1) The average is not always a good description of the actual situation, (2) The function of the average is not always the same as the average of the function, and (3) The average depends on your perspective. To convey these concepts, the students are presented with the three real world examples mentioned above.

Subject:
Education
Mathematics
Numbers and Operations
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Daniel Livengood
MIT BLOSSOMS
Rhonda Jordan
Date Added:
06/02/2012
Foundations in Statistical Reasoning Second Edition
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CC BY-NC-SA
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This is a textbook for an Introduction to Statistics class. I use it at a community college. The approach in this book is to develop an intuitive understanding of sampling distributions and inference in the first chapter so these can be used in the remainder of the book.

Subject:
Mathematics
Statistics and Probability
Material Type:
Textbook
Author:
Pete Kaslik
Date Added:
09/12/2017
Frequency of Large Earthquakes -- Introducing Some Elementary Statistical Descriptors
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CC BY-NC-SA
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Spreadsheets Across the Curriculum module. Students examine the number of large earthquakes (magnitude 7 and above) per year for 1970-1999 and 1940-1999. QL: descriptors of a frequency distribution.

(Note: this resource was added to OER Commons as part of a batch upload of over 2,200 records. If you notice an issue with the quality of the metadata, please let us know by using the 'report' button and we will flag it for consideration.)

Subject:
Biology
Life Science
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Teach the Earth
Author:
Len Vacher
Date Added:
05/07/2018
Frequency of Large Earthquakes -- Introducing Some Elementary Statistical Descriptors
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CC BY-NC-SA
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Spreadsheets Across the Curriculum module. Students examine the number of large earthquakes (magnitude 7 and above) per year for 1970-1999 and 1940-1999. QL: descriptors of a frequency distribution.

Subject:
Geoscience
Mathematics
Physical Science
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Author:
Len Vacher
Date Added:
11/06/2014
Fundamental Statistics
Unrestricted Use
CC BY
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Introductory Statistics Course covering hypothesis testing, confidence interval, sampling, probability, counting techniques, correlation, linear regression, data collection and more.

Subject:
Mathematics
Statistics and Probability
Material Type:
Full Course
Provider:
Bristol Community College
Author:
Dan Avedikian
Date Added:
05/01/2019
Genomics, Computing, Economics, and Society
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CC BY-NC-SA
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This course will focus on understanding aspects of modern technology displaying exponential growth curves and the impact on global quality of life through a weekly updated class project integrating knowledge and providing practical tools for political and business decision-making concerning new aspects of bioengineering, personalized medicine, genetically modified organisms, and stem cells. Interplays of economic, ethical, ecological, and biophysical modeling will be explored through multi-disciplinary teams of students, and individual brief reports.

Subject:
Applied Science
Biology
Economics
Genetics
Health, Medicine and Nursing
Life Science
Physical Science
Political Science
Social Science
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Church, George
Douglas, Shawn
Wait, Alexander
Zucker, Jeremy
Date Added:
09/01/2005
Genomics and Computational Biology
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CC BY-NC-SA
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This course will assess the relationships among sequence, structure, and function in complex biological networks as well as progress in realistic modeling of quantitative, comprehensive, functional genomics analyses. Exercises will include algorithmic, statistical, database, and simulation approaches and practical applications to medicine, biotechnology, drug discovery, and genetic engineering. Future opportunities and current limitations will be critically addressed. In addition to the regular lecture sessions, supplementary sections are scheduled to address issues related to Perl, Mathematica and biology.

Subject:
Applied Science
Biology
Engineering
Genetics
Health, Medicine and Nursing
Life Science
Physical Science
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Church, George
Date Added:
09/01/2002