Introduction to Statistics (MAT/SST 115.03 2008S)

Course Syllabus

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This is an abbreviated course syllabus. Particularly because this is our first time using this text, it is almost certain to change.

Weeks: 1, 2, 3, 4, 5, 6, 7, 8, break, 9, 10, 11, 12, 13, 14.

  Date Topic Preparation Work Due Handouts
Week 1
01 Wednesday, 23 January 2008 Introduction to MAT/SST115
Preliminaries. Why are you here? What is statistics, anyway? Some silly (or not-so-silly) examples. A bit about the course. Comparing sections. Parting thoughts.
  Introductory Statistics Survey  
02 Friday, 25 January 2008 Data, Variables, and Distributions
Quick review of Topic 1. Workshop activity: Topic 2. Debriefing.
All of Topic 1: Data and Variables (on your own); Preliminaries for Topic 2: Data and Distributions Course Survey  
Week 2
03 Monday, 28 January 2008 An Introduction to Linux and R
A bit about Linux. A bit about R. Work with R.
No preparatory work required Activities 2-9, 2-11, 2-14  
04 Wednesday, 30 January 2008 An Introduction to R, Continued
Detour: Comments on Topic 3. Short review. Lab, continued. Reflection.
  Topic 3  
05 Friday, 1 February 2008 Topic 4: Random Sampling
Bias in sampling. How do you select randomly? Activities!
Overview for Topic 4 Activities 3-7, 3-12, 3-20, 3-28  
Week 3
06 Monday, 4 February 2008 Topic 5: Designing Experiments
Cause-and-effect analyses. Experimental design.
Overview and Preliminaries 1-3 of Topic 6 Activites 4-6, 4-7, 4-8, 4-9, 4-12, 4-20  
07 Wednesday, 6 February 2008 Topic 6: Two-Way Tables
Summary of Unit 1. Looking ahead to Unit 2. Topic 6: Two-Way Tables
  Activities 5-8, 5-10, 5-12, 5-16, 5-25, 5-27, 5-28  
08 Friday, 8 February 2008 Topic 7: Displaying and Describing Distributions
Reporting on quantitative variables. Group activity: The Matching Game. Topic 7. Computer activity: Histograms.
Overview and Preliminaries for Topic 7 Activities 6-6, 6-10, 6-26, 6-30 [cancelled]  
Week 4
09 Monday, 11 February 2008 Topic 8: Measures of Center
A few past topics: Homework, skew, etc. Ways to think about center.
Overview and Preliminaries for Topic 8 Activities 6-26, 6-30, 7-8, 7-12  
10 Wednesday, 13 February 2008 Topic 9: Measures of Spread
Beyond centers and shape: Spread.
Overview and Preliminaries 1-3 for Topic 9 Activities 8-9, 8-17, 8-18, 8-22, 8-23  
11 Friday, 15 February 2008 Topic 10: More Summary Measures and Graphs
Some past topics: Spread, IQR, etc. Visualizing summary statistics.
Overview and Preliminaries for Topic 10 Activities 9-14, 9-15, 9-20, 9-23  
Week 5
12 Monday, 18 February 2008 Review / Project Discussion
Quick review of Unit 1. Quick review of Unit 2. About the exam. Studying for the exam. Questions and answers.
     
13 Wednesday, 20 February 2008 Exam 1
Exam
     
14 Friday, 22 February 2008 Topic 11: Probability
On to a new Unit. Simulation. Probabilities.
Overview and Preliminaries for Topic 11    
Week 6
15 Monday, 25 February 2008 Topic 12: Normal Distributions
Thinking about normal distributions. From z scores to percentages.
Overview and Preliminaries for Topic 12 Activities 11-6, 11-7, 11-20, 11-22, 11-23  
16 Wednesday, 27 February 2008 Topic 13: Sampling Distributions: Proportions
The normal distribution, revisited. Normal probability plots. How the normal distributions help you think about samples (and vice versa).
Overview and Preliminaries for Topic 13 Activities 12-5, 12-9, 12-17, 12-18  
17 Friday, 29 February 2008 Pause for Breath
  Activities 13-7, 13-9, 13-13, 13-18  
Week 7
18 Monday, 3 March 2008 Topic 14: Sampling Distributions: Means
Means of samples vs. population means. How does CLT help?
     
19 Wednesday, 5 March 2008 Topic 15: Central Limit Theorem
Reflections on Unit 3 Today's activities: Putting it Together
  Activities 14-6, 14-7, 14-9, and 14-12  
20 Friday, 7 March 2008 Topic 16: Confidence Intervals: Proportions
Samples vs. Populations, Revisited. Estimating Population Proportions from Sample Proportions. Exploring the Confidence of Our Estimates.
  Activities 15-7, 15-8, 15-13, 15-14, and 16-1  
Week 8
21 Monday, 10 March 2008 Topic 17: Tests of Significance: Proportions
Assessing hypotheses about proportions. The role of samples. Null and alternate hypotheses. Test statistics. p-values.
Overview and Preliminaries (as appropriate) for Topic 17 Activities 16-7, 16-9, 16-10, 16-19, 16-21  
22 Wednesday, 12 March 2008 Topic 17: Tests of Significance: Proportions (Continued)
Why this issue is so important. From English to Math and back again. Continue work from the previous class. Begin Topic 18 (if time permits).
Review your work from the previous class    
23 Friday, 14 March 2008 Class Cancelled
     
Spring Break!
Week 9
24 Monday, 31 March 2008 Pause for Breath
Review of confidence intervals and tests of significance. Discussion of Topic 18.
  Topic 18 (in-class activities)  
25 Wednesday, 2 April 2008 Topic 19: Confidence Intervals: Means
Quick review of confidence intervals. Confidence Intervals, Revisited.
     
26 Friday, 4 April 2008 About the Projects
Purpose: Independent Statistical Analysis. Dataset: Information on Grinnell Students. Activities (Mini-Project): Memo, Lightning Presentations. Activities (Full Project): Short paper (2-3 pages), Poster.
  Activities 19-7, 19-12, 19-13, 19-19, 19-22  
Week 10
27 Monday, 7 April 2008 Review for Exam 2
Form of the exam. The big picture. Some key ideas. Free-for-all.
     
28 Wednesday, 9 April 2008 Exam 2
     
29 Friday, 11 April 2008 Topic 21: Comparing Two Proportions
Sampling from multiple populations. New formulate for confidence and intervals and test statistics.
     
Week 11
30 Monday, 14 April 2008 Topic 24: Goodness-of-Fit Tests
Exploring categorical variables. The chi-squared test. Using the chi-squared table.
  21-9, 21-10, 21-11, 21-22, and 21-23  
31 Wednesday, 16 April 2008 Mini-Project Presentations
Presentations. Debriefing (if time).
  Mini-Project Presentations  
32 Friday, 18 April 2008 Topic 25: Inference for Two-Way Tables
Presentation Debriefing. Today's Topic: Inferences from Samples for Categorical Variables, Continued. Some R.
  24-6, 24-7, 24-9, 24-15, 24-20  
Week 12
33 Monday, 21 April 2008 Time to Work on Projects
Q&A. An example analysis. Time to work.
  Mini-Project Memos  
34 Wednesday, 23 April 2008 Review of Key Concepts
Notes on chi-square tests. Questions and answers on the exam. More fun with the project.
     
35 Friday, 25 April 2008 Topic 20: Tests of Significance: Means
Tests of significance, reviewed. From proportions to means.
Overview and Preliminaries for Topic 20 Poster (email me a Powerpoint)  
Week 13
36 Monday, 28 April 2008 Topic 22: Comparing Two Means
Comparing two means. A complication: Degrees of freedom. Using R.
  20-8, 20-9, 20-18, 20-20  
37 Wednesday, 30 April 2008 Topic 23: Analyzing Paired Data
What are paired data? How should we analyze paired data?
  22-5, 22-6, 22-9, 22-14, 22-27  
38 Friday, 2 May 2008 Topic 27: Correlation Coefficient
The Past: Quantitative Variables. The Present: Two Quantitative Variables per OU. Today: Numeric Measures of Relationships.
  26-1, 26-2, 26-3, 26-4 (not to be turned in)  
Week 14
39 Monday, 5 May 2008 Topic 28: Least Squares Regression
Where we've been, where we're going.
  27-9, 27-12, 27-18  
40 Wednesday, 7 May 2008 Topic 29: Inference for Correlation and Regression
Making inferences about populations (once again). Important R.
  28-5, 28-10, 28-24, 28-25  
41 Friday, 9 May 2008 Wrapup
     

Disclaimer: I usually create these pages on the fly, which means that I rarely proofread them and they may contain bad grammar and incorrect details. It also means that I tend to update them regularly (see the history for more details). Feel free to contact me with any suggestions for changes.

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Samuel A. Rebelsky, rebelsky@grinnell.edu

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