Math and Stats

# Statistics

# Courses

Principles of Quality Assurance (CC BY)

Hybrid/blended course that introduces the scope and function of quality assurance, including basic definitions, statistics, quality policy and objectives, manuals and procedures, concept of variation, inspection and sampling techniques, metrology process control, methods and elements of reliability. Current (TQM) and ISO 9000 standards are reviewed.

Probability & Statistics (CC BY-NC-SA)

This course introduces students to the basic concepts and logic of statistical reasoning and gives the students introductory-level practical ability to choose, generate, and properly interpret appropriate descriptive and inferential methods. In addition, the course helps students gain an appreciation for the diverse applications of statistics and its relevance to their lives and fields of study. The course does not assume any prior knowledge in statistics and its only prerequisite is basic algebra.

Statistical Reasoning (CC BY-NC-SA)

Probability & Statistics introduces students to the basic concepts and logic of statistical reasoning and gives the students introductory-level practical ability to choose, generate, and properly interpret appropriate descriptive and inferential methods. In addition, the course helps students gain an appreciation for the diverse applications of statistics and its relevance to their lives and fields of study. The course does not assume any prior knowledge in statistics and its only prerequisite is basic algebra.

# Textbooks

B.C. Open Textbook Collection: Math/Statistics (Various CC Licences)

A collection of open textbooks on various topics relating to math and statistics.

Engineering Statistics Handbook (Public domain)

The NIST/SEMATECH e-Handbook of Statistical Methods is a web-based book whose goal is to help scientists and engineers incorporate statistical methods into their work as efficiently as possible. Ideally it will serve as a reference that will help scientists and engineers design their own experiments and carry out the appropriate analyses when a statistician is not available to help. It is also hoped that it will serve as a useful educational tool that will help users of statistical methods and consumers of statistical information better understand statistical procedures and their underlying assumptions and

more clearly interpret scientific and engineering results stated in statistical terms. The book is available online and as a PDF.

Lies, Damned Lies, or Statistics: How to Tell the Truth with Statistics [PDF] (CC BY-SA)

This textbook is intended for a one-semester, undergraduate statistics course. There are many concrete, specific questions that humans have about the world which are best answered by carefully collecting some data and using a modest amount of mathematics and a fair bit of logic to analyze them. It is, therefore, the goal of this book to help you learn How to Tell the Truth with Statistics and, therefore, how to tell when others are telling the truth … or are faking their “news.”

Introduction to Probability (GNU Free Documentation License)

This introductory probability book, published by the American Mathematical Society, emphasizes the use of computing to simulate experiments and make computations. The authors have prepared a set of programs to go with the book, along with solutions available to instructors. They also provide links to other probability resources.

Probability and Statistics EBook (CC BY)

A general statistics curriculum E-Book, which includes Advanced-Placement (AP) materials.

Random: Probability, Mathematical Statistics, Stochastic Processes (CC BY)

*Random* is a website devoted to probability, mathematical statistics, and stochastic processes, and is intended for teachers and students of these subjects. The site consists of an integrated set of components that includes expository text, interactive web apps, data sets, biographical sketches, and an object library. Please read the Introduction for more information about the content, structure, mathematical prerequisites, technologies, and organization of the project.

# Textbook Collections

OpenIntro (CC BY-SA)

OpenIntro provides three textbooks (OpenIntro Statistics, Introductory Statistics with Randomization and Simulation, and Advanced High School Statistics) along with a collection of ancillary resources including videos, labs, lecture slides, sample exams, and syllabuses.

Statistics LibreTexts Library (CC BY-NC-SA)

A collection of open textbooks, assignments, and other educational resources on sujects related to statistics.

# Videos

Models, Assumptions and Confidence Limits (CC BY-NC-ND)

Confidence intervals reflect our uncertainty about a parameter of interest, and models reflect our assumptions about the context of the data. Some of these assumptions may be justified by background knowledge, but others will be rather arbitrary. Statistics textbooks advise that before assuming a model we should check that it gives a good fit to the data (by using goodness-of-fit tests or graphical diagnostics). But does a well-fitting model necessarily mean a good confidence interval? Looking at the robustness of confidence limits to model choice suggests some rather basic questions about our use of models and assumptions in statistics.