STAT 515: Statistical Methods I - fa 2023

2:20 - 3:35 pm, TR, Close-Hipp Building 364, Aug 24th - Dec 18th, 2023

Instructor: Dr. Karl Gregory
Instructor office: LeConte College 216C
fa 2023 office hours

Teaching assistant/grader: Yizeng Li, yizeng@email.sc.edu
TA office: LeConte 204
TA office hours: 10:00 am to 12:00 noon on Mondays


Course syllabus


Assumed knowledge: Dr. Habing's Intro Notes


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
Lec_08.pdf Lec_08_slides.pdf Lec_08_slides_annotated.pdf The Poisson and exponential distributions
End Exam I material
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
Lec_15.pdf Lec_15_slides.pdf Lec_15_slides_annotated.pdf p-values for tests of hypotheses about the mean and proportion
End Exam II material
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
End course material


Homework assignments Topics Due Solutions
hw_01.pdf Import data in R, basics of sets, basic probability Mon, Sep 11th, 11:59 pm on Blackboard hw_01_sol.pdf
hw_02.pdf Counting, conditional probability, Bayes' rule, independence Mon, Sep 18th, 11:59 pm on Blackboard hw_02_sol.pdf
hw_03.pdf Random variables, expected value, hypergeometric, binomial Mon, Sep 25th, 11:59 pm on Blackboard hw_03_sol.pdf
hw_04.pdf Binomial, Normal probabilities/quantiles, Q-Q plots Wed, Oct 4th, 11:59 pm on Blackboard hw_04_sol.pdf
hw_05.pdf Sampling distribution of mean from Normal population, Poisson, exponential, CLT Mon, Oct 16th, 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 Wed, Oct 25th, 11:59 pm on Blackboard hw_06_sol.pdf
hw_07.pdf CIs for mean with variance unknown, sample size calculations Mon, Nov 6th, 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 Mon, Nov 13th, 11:59 pm on Blackboard hw_08_sol.pdf
hw_09.pdf Two-sample testing for differences in means and proportions Mon, Nov 27th, 11:59 pm on Blackboard hw_09_sol.pdf
hw_10.pdf Two-sample testing, comparative experiments and ANOVA Mon, Dec 4th, 11:59 pm on Blackboard hw_10_sol.pdf
hw_11.pdf *optional for extra credit: up to one bonus point added to final exam score* Simple linear regression, contingency tables Thursday, Dec 7th, 11:59 pm on Blackboard hw_11_sol.pdf


Data collected in class Files
First-day survey, weight of keys csv description
Live oak acorns csv
Golden ratio fingers csv description
Perception of slope csv C X Y


Exams Solutions
Exam_I.pdf Exam_I_sol.pdf Exam_I_student_sol.pdf
Exam_II.pdf Exam_II_sol.pdf Exam_II_student_sol.pdf
Final exam on Wednesday, Dec 13th, 12:30 pm, may bring three sheets (two-sided) of handwritten notes.


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


Exams from fa 2020 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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