STAT 515: Statistical Methods I - sp 2024

1:15 - 2:30 pm, TR, LeConte College 103

Instructor: Dr. Karl Gregory,
Office hours: 2:00 - 3:00 pm Mondays and 3:30 - 4:30 pm Wednesdays in LeConte College 216C or in the classroom each day after class.

Grader: Yun Yang,
Office hours: 10:00 am to 11:00 Wednesdays in LeConte 227

Course syllabus

Lecture notes Lecture slides Annotated Topic
Lec_01.pdf Lec_01_slides.pdf Lec_01_slides_annotated.pdf Basics of sets, basics of probability
Lec_02.pdf Lec_02_slides.pdf Lec_02_slides_annotated.pdf Counting rules
Lec_03.pdf Lec_03_slides.pdf Lec_03_slides_annotated.pdf Conditional probability, independence, and Bayes' rule
Lec_04.pdf Lec_04_slides.pdf Lec_04_slides_annotated.pdf Random variables
Lec_05.pdf Lec_05_slides.pdf Lec_05_slides_annotated.pdf Bernoulli trials and the binomial and hypergeometric distributions
Lec_06.pdf Lec_06_slides.pdf Lec_06_slides_annotated.pdf Continuous random variables
Lec_07.pdf z-table Lec_07_slides.pdf Lec_07_slides_annotated.pdf The Normal distribution
End Exam I material
Lec_08.pdf Lec_08_slides.pdf Lec_08_slides_annotated.pdf The Poisson and exponential distributions
Lec_09.pdf Lec_09_slides.pdf Lec_09_slides_annotated.pdf Sampling distributions and the central limit theorem
Lec_10.pdf Lec_10_slides.pdf Lec_10_slides_annotated.pdf First confidence intervals for the mean and proportion
Lec_11.pdf chi-square-table Lec_11_slides.pdf Lec_11_slides_annotated.pdf Variance estimation
Lec_12.pdf t-table Lec_12_slides.pdf Lec_12_slides_annotated.pdf Confidence interval for the mean when the variance is unknown
Lec_13.pdf Lec_13_slides.pdf Lec_13_slides_annotated.pdf Sample size calculations
Lec_14.pdf Lec_14_slides.pdf Lec_14_slides_annotated.pdf Hypothesis testing for the mean and proportion
End Exam II material
Lec_15.pdf Lec_15_slides.pdf Lec_15_slides_annotated.pdf p-values for tests of hypotheses about the mean and proportion
Lec_16.pdf Lec_16_slides.pdf Lec_16_slides_annotated.pdf Two-sample testing
Lec_17.pdf Lec_17_slides.pdf Lec_17_slides_annotated.pdf Comparative experiments and analysis of variance
Lec_18.pdf Lec_18_slides.pdf Lec_18_slides_annotated.pdf Simple linear regression
Lec_19.pdf Lec_19_slides.pdf Lec_19_slides_annotated.pdf Association between categorical variables

Homework assignments Topics Due Solutions
hw_01.pdf Import data in R, basics of sets, basic probability Thurs, Jan 18th, 11:59 pm on Blackboard hw_01_sol.pdf
hw_02.pdf Counting, conditional probability, Bayes' rule, independence Thurs, Jan 25th, 11:59 pm on Blackboard hw_02_sol.pdf
hw_03.pdf Random variables, expected value, hypergeometric, binomial Tues, Feb 6th, 11:59 pm on Blackboard hw_03_sol.pdf
hw_04.pdf Binomial, Normal probabilities/quantiles, Q-Q plots Tues, Feb 20th, 11:59 pm on Blackboard hw_04_sol.pdf
hw_05.pdf Sampling distribution of mean from Normal population, Poisson, exponential, CLT Tues, Mar 12th, 11:59 pm on Blackboard hw_05_sol.pdf
hw_06.pdf CIs for mean with variance known, CIs for variance, large-sample CIs for mean/proportion Tues, Mar 19th, 11:59 pm on Blackboard hw_06_sol.pdf
hw_07.pdf CIs for mean with variance unknown, sample size calculations Thurs, Mar 28th, 11:59 pm on Blackboard hw_07_sol.pdf
hw_08.pdf Hypothesis testing for the mean and proportion by comparing test statistics to critical values Thurs, Apr 4th, 11:59 pm on Blackboard hw_08_sol.pdf
hw_09.pdf Two-sample testing for differences in means and proportions Tues, Apr 16th, 11:59 pm on Blackboard hw_09_sol.pdf
hw_10.pdf Two-sample testing, comparative experiments and ANOVA Thurs, Apr 18th, 11:59 pm on Blackboard hw_10_sol.pdf
hw_11.pdf (optional: up to +1 bonus on final) Simple linear regression, contingency tables Mon, Apr 22nd, 11:59 pm on Blackboard hw_11_sol.pdf

Data collected in class Files
First-day survey csv description
Golden ratio fingers csv description
Keychain weights csv
Acorn dimensions csv

Exams Solutions
Exam_I.pdf Exam_I_sol.pdf
Exam_II.pdf Exam_II_sol.pdf Exam_II_sol_student.pdf
Final_Exam.pdf Final_Exam_sol.pdf

Exams from fa 2023 Solutions
Exam_I.pdf Exam_I_sol.pdf
Exam_II.pdf Exam_II_sol.pdf
Final_Exam.pdf Final_Exam_sol.pdf

Exams from fa 2021 Solutions
Exam_I.pdf Exam_I_sol.pdf
Exam_II.pdf Exam_II_sol.pdf
Final_Exam.pdf Final_Exam_sol.pdf

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