Date | Reading Assignment |
|
Textbook Practice Problems |
Written Homework Due |
---|---|---|---|---|
Friday 30 August |
What is Statistics? |
|||
Mon 2 September | 1.1, 1.2 |
The Basics, Introduction to R |
1.1, 3, 5, 7, 9 |
|
Wed 4 September | 1.3-1.4 |
Data collection in observational studies and experiments |
1.6, 15, 17, 19, 21, 25, 27, 29, 37 |
1.2, 1.10 |
Fri 6 September | 2.1.1-2.1.4 |
Mean, dot plots, histograms, and standard deviation |
1.16, 18, 24, 28, 35, 43; 2.2, 5, 9 |
1.12, 20, 38, 40 |
Mon 9 September | 2.1.5-2.1.7, 2.2-2.3 |
Median and associated measures, box plots, categorical data |
2.4, 10, 11, 13, 15, 25, 29, 33. |
1.32. Also, for both Age and TextMessages in
our class data,do the following: -- Calculate mean and standard deviation for the whole group. -- Calculate mean and standard deviation by varsity athlete/non-athlete -- Create histograms with two different binnings and comment on which you think is more useful or informative. -- Comment on any interesting data/trends/observations. |
Wed 11 September | Finding data
for graph and caption-writing project. |
2.12, 2.16, 2.32. Also, for both Age and
TextMessages in our class data: -- Calculate the median and IQR. -- Create a boxplot. -- Comment for each of them on the strengths and weakness of mean/sd vs median/IQR and histogram vs boxplot. |
||
Fri 13 September | 3.1 |
Probability Basics |
3.1, 3, 5, 9, 11, 39 |
A citation for the data you plan to use for
the graph and caption-writing project, the variable or variables from that data set you plan to graph, and some evidence that you've been able to load that data into R. (Maybe a favstats() for the variable(s) you plan to use, or something similar.) |
Mon 16 September | 3.5 |
Continuous Probability Models |
3.37 |
2.22, 3.6, 3.8; Also, create a two-way table
for academic division by section. Comment on any interesting trends. |
Wed 18 September | 4.1 |
The Normal distribution |
4.1, 3, 5, 25, 29 |
3.12, 38bcd, 40; Also, just the graph (plus
the R code you used to produce it) from your writing project for next Monday. |
Fri 20 September | 4.2 | Evaluating Normality | 4.2, 8 |
4.4, 6, 10. |
Mon 23 September | Climate Teach-in. Meet in Hayes as usual. |
Graph and Caption-writing project due,
including citation and code and (printed separately) a nicely presented graph with caption. Bring at least two copies of the graph and caption, one to submit and one to take out to the teach-in. |
||
Wed 25 September | Midterm #1: Covers Chapters 1-3 |
|||
Fri 27 September | 4.3 | The Binomial Distribution |
4.11, 13, 23 |
This very short
exercise |
Mon 30 September | 5.1 | Variability in Estimates | 5.1, 3 |
4.12; Also, make a histogram and a QQ plot
for both wingspan and number of text messages in our class data set. Comment on any interesting features/correspondences between the histogram and the QQ plot. |
Wed 2 October | 5.2 | Confidence Intervals | 5.2, 7, 11, 13, 27 |
4.14, 5.4, 6; Problems 3bcd, 4, 5 from Wednesday's in-class worksheet |
Fri 4 October | 5.3-5.3.3 |
Hypothesis Testing | 5.9, 15, 17 |
5.8, 12, 14; Also, calculate and interpret
both a 90% and a 99% confidence interval for the proportion of Kenyon students who are right handed, under the assumption that the 97 people in our class constitute a random-enough sample of Kenyon students for this particular variable. (That is, use our class data set, and pretend like it's simple random sample.) Calculate the 90% interval "by hand" using the methods of 175-179 without using prop.test(); then calculate the 99% interval using prop.test. Also, as always, include the R code that you used in arriving at your answer. |
Mon 7 October | 5.3.4-5.3.6 | More on Hypothesis Testing |
5.21, 23, 33 |
5.10, 16, 18, 34 |
Wed 9 October | 6.1 |
Inference for a Single Proportion |
6.1, 2, 5, 7, 13, 43, 45 |
5.22, 24, 30, 36; Also, run a hypothesis test
on the hypothesis that 80% of Kenyon students are right handed. (Again, ignore the biased sample issue.) Find the p-value in two ways: Once "by hand" as outlined in Examples 5.29 and 5.30 of our textbook, then with the prop.test() command. You'll get two different p-values. Interpret each in the context of the problem and write just a few words about why they're different. |
Mon 14 October |
6.2 |
Inference for the Difference of Two
Proportions |
6.17, 19, 21, 23, 25, 39 |
6.8, 10, 11, 48 |
Wed 16 October | 6.3 |
Goodness of Fit |
6.31, 33 |
6.16, 20, 22, 24, 42, 44 |
Fri 18 October | Midterm #2: Covers Chapters 4-5, Section 6.1 |
|||
Mon 21 October | 6.4 |
Chi-Squared Testing | 6.47 |
|
Wed 23 October | 6.4 |
Homogeneity and Independence | 6.35, 6.37 |
6.28, 30, 32, 34, 36. Do #6.34d both by hand and using xchisq.test(). |
Fri 25 October | The Central Limit Theorem | 6.40, 50; Also conduct a hypothesis test to
see whether being a varsity athlete is independent of academic division in our class data set. I've added a column to our class data set for this, so you may need to redownload the data set. The column is "DivisionCombined" in which I've combined Fine Arts and Humanities into the designation FAH. With only 3 Fine-Arts-interested people among our 97, it was too few to be running statistical tests on. Use this new column in your test. |
||
Mon 28 October | 7.1 |
The t-distribution | 7.1, 3, 11b |
These problems. |
Wed 30 October | 7.1, 7.2 |
The t-distribution, Paired Data | 7.7, 15, 17, 19, 21 |
7.4, 7.10 |
Fri 1 November | 7.3 |
Difference in Means | 7.16, 18bc |
|
Mon 4 November | 7.5-7.5.2 |
ANOVA | 7.35 |
|
Wed 6 November | 7.5.3-7.5.5 |
ANOVA continued | 7.43 |
Study for Friday's midterm. |
Fri 8 November | Midterm #3: Covers Sections 6.2-6.4, 7.1-7.3 | |||
Mon 11 November | ANOVA continued |
|||
Wed 13 November | 8.1 |
Correlation and Regression Intro |
8.1, 2, 3, 7, 9, 37 |
|
Fri 15 November | 8.2 |
Least Squares Regression Line | 8.17, 19, 22, 25 |
8.4, 6, 10, 38; Also, conduct an ANOVA test
to see if there is a difference in wingspan across the (combined) divisions, reporting and interpreting your p-value in context. Conduct a Tukey HSD test if it is appropriate. |
Mon 18 November | 8.4 |
Inference for Regression | 8.18, 20, 26; Also, load the data set
sparrows.csv from the P drive. It gives the weight (in grams) and wing length (in mm) for sparrows from nests that received various treatments. (Thanks to Prof. Bob Mauck for the data.) Do the following:
|
|
Wed 20 November |
8.4 | Inference for Regression | 8.31, 33 |
Load the data set pines.csv from the P drive. The variables Hgt90, Hgt96, and Hgt97 represent the heights of pine trees in the BFEC pine grove at the time of planting (1990) and then in 1996 and 1997 respectively. Do the following:
|
Fri 22 November | 8.3 |
Outliers and Transformations | 8.27 |
8.32, 39; also, revisit the regression you
did on Monday with Prof. Mauck's sparrow data. Find and interpret a 98% confidence interval for the slope of that regression line. |
Mon 2 December | Supplement | Confidence and Prediction Intervals | |
|
Wed 4 December | 9.1 |
Introduction to Multiple Regression | 8.28, 30; Also, load the data set
MetabolicRate.csv from the P drive. The variables BodySize and Mrate are the weight (in grams) and metabolic rate for Manduca Sexta caterpillars from Prof. Itagaki's lab. Also included are LogBodySize and LogMrate, the logarithms of these two variables. Our goal is to build a linear model to predict metabolic rate (either directly or on a log scale) using body size (either directly or on a log scale). There are four possible combinations of Mrate/LogMrate (vertical) versus BodySize/LogBodySize (horizontal). Make all four scatterplots, including regression lines, and comment on which you think is best. Then, find the equation for the regression line for that combination of variables. |
|
Fri 6 December | Midterm #4: Covers Sections 7.5, 8.1, 8.2, 8.4. |
|||
|
||||
Mon 9 December | 9.2 | Choosing Predictors | Use Prof. Mauck's sparrow data yet again to
find and interpret 90% confidence and prediction intervals for the weight of a sparrow with a 30 mm wingspan. Also, use the data set neckwaist.csv to find and interpret 98% confidence and prediction intervals for the waist size (in inches) for someone with a 15.25 inch neck size. |
|
Wed 11 December | Power |
Paper #2 Due! |
||
Fri 13 December | Chapters 1-8 |
Q&A Review Session |
None. Enjoy the day off! (I'm sure you
have nothing else due today.) |