625.603.84 - Statistical Methods and Data Analysis

Applied and Computational Mathematics
Fall 2024

Description

This course introduces statistical methods that are widely used in modern applications. A balance is struck between the presentation of the mathematical foundations of concepts in probability and statistics and their appropriate use in a variety of practical contexts. Foundational topics of probability, such as probability rules, related inequalities, random variables, probability distributions, moments, and jointly distributed random variables, are followed by foundations of statistical inference, including estimation approaches and properties, hypothesis testing, and model building. Data analysis ranging from descriptive statistics to the implementation of common procedures for estimation, hypothesis testing, and model building is the focus after the foundational methodology has been covered. Software, for example R-Studio, will be leveraged to illustrate concepts through simulation and to serve as a platform for data analysis. Prerequisite(s): Multivariable Calculus, Calc III.

Instructor

Default placeholder image. No profile image found for Beila Leboeuf.

Beila Leboeuf

bleboeu1@jhu.edu

Course Structure

This section of 625.603 will be taught in person. The course contains 14 modules which can be accessed by clicking Modules on the course menu in Canvas. You are encouraged to preview all sections of the module before starting! Modules run for a period of seven days and are released Wednesday mornings. Modules contain a module overview, reading assignments, lecture videos, and homework exercises.

In addition to keeping track of the material covered in sessions, you should also regularly check the Calendar and Announcements for assignment due dates.

Course Topics

Course Goals

The purpose of this course is to understand and apply basic statistical techniques to a variety of real-world problems. To that end, the course will begin with an introduction to the probability concepts that are the foundation of statistics. The course will then go on to cover estimation and inference before concluding with applications in regression analysis. Throughout the course, students will have the opportunity to leverage statistical software to apply the techniques learned in class.

Course Learning Outcomes (CLOs)

Textbooks

Larsen, R. J., & Marx, M. L. (2018). An introduction to mathematical statistics and its applications (6th ed.). Boston, MA: Pearson.

ISBN-13: 9780134114217

Textbook information for this course is available online through the appropriate bookstore website: For online courses, search the MBS website.

Required Software

Software is required for this course. You may use any software you like.

Student Coursework Requirements

It is expected that you spend approximately 8-10 hours per week on this class. Here is an approximate breakdown: reading the assigned sections of the texts and any supplementary materials (approximately 3–4 hours per week) as well as class time (approximately 3 hours per week), and assignments (approximately 2–3 hours per week).

This course will consist of the following student requirements:

Homework (30% of Final Grade Calculation)

You will be assigned homework most weeks throughout the semester. These will be exercises from the text.

Homework is due according to the dates in the Calendar. 

Exams (60% of Final Grade Calculation)

Participation (10% of Final Grade Calculation)




 Submission Guidelines 

    1. Your submission should be in a pdf file. If your work is spread across multiple files, copy and paste screenshots of clearly written code and output into a word file which you can then submit as a pdf.
    2. Do not submit a code file.
    3. Always clearly indicate your answers.  Box your response, use color, make your final response clear. 

Grading Policy

Score Range Letter Grade
100-98= A+
97-94= A
93-90= A-
89-87= B+
86-83= B
82-80= B-
79-77= C+
76-73= C
72-70= C -
69-67= D+
66-63= D
<63= F

Academic Policies

Deadlines for Adding, Dropping and Withdrawing from Courses

Students may add a course up to one week after the start of the term for that particular course. Students may drop courses according to the drop deadlines outlined in the EP academic calendar (https://ep.jhu.edu/student-services/academic-calendar/). Between the 6th week of the class and prior to the final withdrawal deadline, a student may withdraw from a course with a W on their academic record. A record of the course will remain on the academic record with a W appearing in the grade column to indicate that the student registered and withdrew from the course.

Academic Misconduct Policy

All students are required to read, know, and comply with the Johns Hopkins University Krieger School of Arts and Sciences (KSAS) / Whiting School of Engineering (WSE) Procedures for Handling Allegations of Misconduct by Full-Time and Part-Time Graduate Students.

This policy prohibits academic misconduct, including but not limited to the following: cheating or facilitating cheating; plagiarism; reuse of assignments; unauthorized collaboration; alteration of graded assignments; and unfair competition. Course materials (old assignments, texts, or examinations, etc.) should not be shared unless authorized by the course instructor. Any questions related to this policy should be directed to EP’s academic integrity officer at ep-academic-integrity@jhu.edu.

Students with Disabilities - Accommodations and Accessibility

Johns Hopkins University values diversity and inclusion. We are committed to providing welcoming, equitable, and accessible educational experiences for all students. Students with disabilities (including those with psychological conditions, medical conditions and temporary disabilities) can request accommodations for this course by providing an Accommodation Letter issued by Student Disability Services (SDS). Please request accommodations for this course as early as possible to provide time for effective communication and arrangements.

For further information or to start the process of requesting accommodations, please contact Student Disability Services at Engineering for Professionals, ep-disability-svcs@jhu.edu.

Student Conduct Code

The fundamental purpose of the JHU regulation of student conduct is to promote and to protect the health, safety, welfare, property, and rights of all members of the University community as well as to promote the orderly operation of the University and to safeguard its property and facilities. As members of the University community, students accept certain responsibilities which support the educational mission and create an environment in which all students are afforded the same opportunity to succeed academically. 

For a full description of the code please visit the following website: https://studentaffairs.jhu.edu/policies-guidelines/student-code/

Classroom Climate

JHU is committed to creating a classroom environment that values the diversity of experiences and perspectives that all students bring. Everyone has the right to be treated with dignity and respect. Fostering an inclusive climate is important. Research and experience show that students who interact with peers who are different from themselves learn new things and experience tangible educational outcomes. At no time in this learning process should someone be singled out or treated unequally on the basis of any seen or unseen part of their identity. 
 
If you have concerns in this course about harassment, discrimination, or any unequal treatment, or if you seek accommodations or resources, please reach out to the course instructor directly. Reporting will never impact your course grade. You may also share concerns with your program chair, the Assistant Dean for Diversity and Inclusion, or the Office of Institutional Equity. In handling reports, people will protect your privacy as much as possible, but faculty and staff are required to officially report information for some cases (e.g. sexual harassment).

Course Auditing

When a student enrolls in an EP course with “audit” status, the student must reach an understanding with the instructor as to what is required to earn the “audit.” If the student does not meet those expectations, the instructor must notify the EP Registration Team [EP-Registration@exchange.johnshopkins.edu] in order for the student to be retroactively dropped or withdrawn from the course (depending on when the "audit" was requested and in accordance with EP registration deadlines). All lecture content will remain accessible to auditing students, but access to all other course material is left to the discretion of the instructor.