Plan OER Structure Part 1A: Outline

OER Project Directory CMAT 1303 Introductory Statistics
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Stats Cohort -

Let’s draft the outline of our OER below to include all the parts or chapters that we envision.

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Basing this on our CLOs, I see a minimum of 7 chapters. However, most books are splitting these into more chapters, as marked below. I also am seeing a trend towards Linear Regression appearing earlier in texts, partially to put it by the graphical interpretations, and also to try to even out the difficulty of the course (which starts out a bit simple, and gets very challenging mathematically). Let’s discuss!

Chapter 1: Sampling & Data

  1. Explain and apply principles of study design and data collection.
  2. Give examples of biased and random sampling techniques.
  3. Analyze study design to rate the reliability of an inference.

Chapter 2: Descriptive Statistics

  1. Construct and interpret graphical summaries of data.*
  2. Identify characteristics of graphs that are poor practice and may mislead an audience.
  3. Compute and interpret numerical summary statistics, including central tendency and variability.
  4. Construct and draw inferences from charts, tables, and graphs that summarize data from real-world graphically. *
    (*) Can these two CLO’s be combined?

Chapter 3: Probability

  1. Compute probabilities of events using probability and counting rules.

Chapter 4: Random Variables (Should we split into 4 chapters: Discrete, Continuous, Normal, Chi-square?)

  1. Apply the concept of a random variable to generate and interpret probability distribution including binomial, uniform, normal, and chi-square.

Chapter 5: Central Limit Theorem

  1. Use the Central Limit Theorem.

Chapter 6: Confidence Intervals (Should we split chapters: 1-sample vs. 2-sample?)

  1. Determine point estimates, confidence intervals, and appropriate sample size.
  2. Perform hypothesis testing and recommend whether the null should be rejected or not.

Chapter 7: Regression (Should we split into 2 chapters: Linear vs. F & ANOVA?)

  1. Graphically and numerically describe the relationship between two quantitative variables, including correlation coefficients, coefficients of determination, and regression formulas.
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  1. Chapter 2 can be divided into two chapters. The first part graphical and the second part numerical descriptive statistics.
  2. Chapter5: Discrete random variable including Binomial distribution and Poisson distribution (optional).
  3. Chapter6: Continuous random variable including Exponential (optional), Normal distribution and Central limit theorem.
  4. It is a good idea to split chapter6 into 1-sample and 2-sample.
  5. We can use ANOVA as an optional chapter.
  6. Total of 10 chapters
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Could we possibly do all the Confidence Intervals as one chapter (1-sample and 2 sample) then do all the Hypothesis Tests as a different chapter (1-sample and 2 sample)?

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@stephan.patterson thank you for your initial post with a resource outline.

I agree with both @rbelmasrour and @stephen.andrus with their comments on how to further split up the content into smaller chunks.

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@rbelmasrour @stephan.patterson @stephen.andrus

I will take the information you all provided in this post and start to rearrange the content in the pressbook.