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Updated in [March 06th, 2023]
Mathematical Biostatistics Boot Camp 1 is an introductory course designed to provide students with a junior or senior college-level mathematical background with the fundamental probability and statistical concepts used in elementary data analysis. The course will cover topics such as probability distributions, hypothesis testing, linear regression, and more. A small amount of linear algebra and programming knowledge is beneficial, but not required. Upon completion of the course, students will have a better understanding of the mathematical and statistical principles used in data analysis.
[Applications]
The application of this course can be seen in a variety of fields, such as public health, epidemiology, biostatistics, and clinical research. Students can use the concepts learned in this course to analyze data, develop models, and interpret results. Additionally, students can apply the knowledge gained in this course to design experiments, evaluate results, and make decisions based on the data. Furthermore, students can use the skills acquired in this course to develop and implement statistical software for data analysis.
[Career Paths]
1. Data Scientist: Data Scientists are responsible for collecting, analyzing, and interpreting large amounts of data to identify trends and patterns. They use their findings to develop strategies and solutions to improve business operations. Data Scientists are in high demand due to the increasing need for data-driven decision making.
2. Biostatistician: Biostatisticians use mathematical and statistical methods to analyze data related to biological and medical research. They are responsible for designing experiments, collecting data, and interpreting results. They also develop models to predict outcomes and provide advice on the best course of action.
3. Epidemiologist: Epidemiologists use mathematical and statistical methods to study the spread of diseases and other health-related issues. They analyze data to identify risk factors and develop strategies to prevent and control the spread of diseases.
4. Clinical Research Associate: Clinical Research Associates are responsible for designing, conducting, and monitoring clinical trials. They use their knowledge of mathematics and statistics to analyze data and interpret results. They also provide guidance on the best course of action for clinical trials.
[Education Paths]
1. Bachelor of Science in Biostatistics: This degree program provides students with a comprehensive understanding of the principles of biostatistics, including the design and analysis of experiments, the development of statistical models, and the interpretation of data. Students will also learn how to apply biostatistical methods to solve real-world problems in the health sciences, public health, and other fields. This degree is becoming increasingly popular as the demand for biostatisticians grows in the health care and research industries.
2. Master of Science in Biostatistics: This degree program provides students with a more advanced understanding of biostatistical methods and their applications. Students will learn how to develop and apply statistical models to analyze data from a variety of sources, including clinical trials, epidemiological studies, and public health surveys. This degree is becoming increasingly popular as the demand for biostatisticians grows in the health care and research industries.
3. Doctor of Philosophy in Biostatistics: This degree program provides students with a comprehensive understanding of the principles of biostatistics, including the design and analysis of experiments, the development of statistical models, and the interpretation of data. Students will also learn how to apply biostatistical methods to solve real-world problems in the health sciences, public health, and other fields. This degree is becoming increasingly popular as the demand for biostatisticians grows in the health care and research industries.
4. Master of Public Health in Biostatistics: This degree program provides students with a comprehensive understanding of the principles of biostatistics, including the design and analysis of experiments, the development of statistical models, and the interpretation of data. Students will also learn how to apply biostatistical methods to solve real-world problems in the health sciences, public health, and other fields. This degree is becoming increasingly popular as the demand for biostatisticians grows in the health care and research industries.
Course Syllabus
Introduction, Probability, Expectations, and Random Vectors
You are about to undergo an intense and demanding immersion into the world of mathematical biostatistics. Over the next few weeks, you will learn about probability, expectations, conditional probabilities, distributions, confidence intervals, bootstrapping, binomial proportions, and much more. Module 1 covers experiments, probability, variables, mass functions, density functions, cumulative distribution functions, expectations, variations, and vectors.Conditional Probability, Bayes' Rule, Likelihood, Distributions, and Asymptotics
This module covers Conditional Probability, Bayes' Rule, Likelihood, Distributions, and Asymptotics. These are the most fundamental core concepts in mathematical biostatistics and statistics. After this module you should be able to recognize and be functional in these key concepts. Confidence Intervals, Bootstrapping, and Plotting
This module covers Confidence Intervals, Bootstrapping, and Plotting. These are core concepts in mathematical biostatistics and statistics. After this module you should be able to recognize and be functional in these key concepts.Binomial Proportions and Logs