These are the learning objectives for this portion of the class:

- Compute the probability of a sample mean being at least as high as a specified value when σ is known or estimated
- Compute a two-tailed probability
- State the assumptions for testing the difference between two means
- Estimate the population variance assuming homogeneity of variance
- Compute the standard error of the difference between means
- Compute t and p for the difference between means
- Format data for computer analysis
- Define pairwise comparison
- Describe the problem with doing t tests among all pairs of means
- Calculate the Tukey HSD test
- Define linear combination
- Specify a linear combination in terms of coefficients
- Do a significance test for a specific comparison
- Determine whether you have correlated pairs or independent groups
- Compute a t test for correlated pairs
- Determine whether to use the formula for correlated comparisons or independent-groups comparisons
- Compute t for a comparison for repeated-measures data
- Compute the Bonferroni correction
- Calculate pairwise comparisons using the Bonferroni correction

These are the learning objectives for this portion of the class:

- What null hypothesis is tested by ANOVA
- Describe the uses of ANOVA
- Determine whether a factor is a between-subjects or a within-subjects factor
- Define factorial design
- State what the Mean Square Error (MSE) estimates when the null hypothesis is true and when the null hypothesis is false
- State what the Mean Square Between (MSB) estimates when the null hypothesis is true and when the null hypothesis is false
- State the assumptions of a one-way ANOVA
- Compute MSE & MSB
- Compute F and its two degrees of freedom parameters
- Describe the shape of the F distribution
- State the relationship between the t and F distributions
- Partition the sums of squares into condition and error
- Format data to be used with a computer statistics program
- Define main effect, simple effect, interaction, and marginal mean
- State the relationship between simple effects and interaction
- Compute the source of variation and df for each effect in a factorial design
- Plot the means for an interaction
- Define three-way interaction
- State why unequal n can be a problem
- Define confounding
- Compute weighted and unweighted means
- Distinguish between Type I and Type III sums of squares
- Describe why the cause of the unequal sample sizes makes a difference in the interpretation
- Compute Tukey HSD test
- Describe an interaction in words
- Describe why one might want to compute simple effect tests following a significant interaction
- Define a within-subjects factor
- Explain why a within-subjects design can be expected to have more power than a between-subjects design
- Be able to create the Source and df columns of an ANOVA summary table for a one-way within-subjects design
- Explain error in terms of interaction
- Discuss the problem of carryover effects
- Be able to create the Source and df columns of an ANOVA summary table for a design with one between-subjects and one within-subjects variable

This week’s in-class presentation.

- Read: Manga Guide to Statistics sections of interest:
- Chapter 7

- Watch: What is a t-test?
- Watch: Analysis of Variance
- Watch: Test Statistics: Crash Course Statistics #26
- Watch: T-Tests: A Matched Pair Made in Heaven: Crash Course Statistics #27
- Watch: Degrees of Freedom & Effect Sizes: Crash Course Statistics #28
- Read: Using T-tests in R
- Read: Performing a One-Sample T-Test in R
- Read: Calculating Confidence Intervals
- Read: Confidence Intervals for the Sample Mean using R (and written in RMarkdown!)

You can watch the above piecemeal but watching all the following *in order* is highly encouraged:

- 11-1: Using t Tests with Two Samples
- 11-2: Independent Samples t Test Introduction
- 11-6: Paired Samples t Test Introduction
- 12-1: Probability Pyramiding - Why ANOVA?
- 12-2: ANOVA - Variance Between and Within
- 12-3: Assumptions and Hypotheses for One-Way ANOVA
- 12-4: One-Way ANOVA (by hand)
- 12-5: Tukey’s HSD Post Hoc Test

There are a number of assignments this week, as usual.

This week’s activity covers the presentation of data.

Don’t forget about your chapter quizzes! Find them in the Quizzes menu in D2L.

**Remember! For Slack posts involving chapter group questions, answers, and responses, use the following convention at the beginning of your post:**

Group 3 picking their question would start with:

G3Q

Group 4 answering their question would start with:G4A

Group 5 responding to another group’s answer would start with:G5A

The Slack markup code for writing those would be: `*G3Q*`

and so on, as *s around text make it **bold**.

Choose a question from the end of chapter 12 in the section called “Exercises” to answer. Post the question and your answer, and make sure to justify your response.

For example, if you determine that a type of statistic is descriptive, provide your reasoning being specific about the problem presented and your answer.

Next, respond to another students’ answers by asking a question for clarification, providing a personal experience, posting a thought-provoking question, taking a controversial, but professional stand, adding something new to the conversation, quoting another student’s comment and add an additional idea based on this comment, etc.

Your responses should be respectful and offered in a professional manner. You may wish to review the behavior Course Policies to help frame your response. Remember, you will be responding about the specific idea, issue, or question.

*You may not answer a question that has been previously addressed.*

Choose a question from the end of chapter 7 in the section called “Exercises” to answer. Post the question and your answer, and make sure to justify your response.

For example, if you determine that a type of statistic is descriptive, provide your reasoning being specific about the problem presented and your answer.

Next, respond to another students’ answers by asking a question for clarification, providing a personal experience, posting a thought-provoking question, taking a controversial, but professional stand, adding something new to the conversation, quoting another student’s comment and add an additional idea based on this comment, etc.

Your responses should be respectful and offered in a professional manner. You may wish to review the behavior Course Policies to help frame your response. Remember, you will be responding about the specific idea, issue, or question.

*You may not answer a question that has been previously addressed.*

Copyright © 2019 Ryan Straight. All rights reserved.