Statistics for brain and cognitive science
Bachelor's degree
In Maynard (USA)
Description
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Type
Bachelor's degree
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Location
Maynard (USA)
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Start date
Different dates available
Provides students with the basic tools for analyzing experimental data, properly interpreting statistical reports in the literature, and reasoning under uncertain situations. Topics organized around three key theories: Probability, statistical, and the linear model. Probability theory covers axioms of probability, discrete and continuous probability models, law of large numbers, and the Central Limit Theorem. Statistical theory covers estimation, likelihood theory, Bayesian methods, bootstrap and other Monte Carlo methods, as well as hypothesis testing, confidence intervals, elementary design of experiments principles and goodness-of-fit. The linear model theory covers the simple regression model and the analysis of variance. Places equal emphasis on theory, data analyses, and simulation studies.
Facilities
Location
Start date
Start date
Reviews
Subjects
- Probability
- Cognitive Science
- Confidence Training
- Law
- Design
- Statistics
- Testing
- IT Law
- Interpreting
Course programme
Lectures: 2 sessions / week, 1.5 hours / session
This course is an introduction to statistics for brain and cognitive sciences. The objective of the course will be to learn to use statistical principles to evaluate, interpret and quantify uncertainty. This will provide a basis for analyzing and interpreting data from designing and conducting formal studies to reading magazine, journal and newspaper articles. The topics will be divided in three main areas: Probability theory, statistical theory and the linear model. Probability theory will cover axioms of probability, discrete and continuous probability models, law of large numbers and the Central limit theorem. Statistical theory will cover estimation, likelihood theory, Bayesian methods, bootstrap and Monte Carlo methods, hypothesis testing, confidence intervals, elementary design of experiments principles and goodness-of-fit. The linear model theory will cover the simple regression model and the analysis of variance. We will cover this technical information using examples drawn broadly from current topics in neuroscience, economics, sports and current events.
9.40 Introduction to Neural Computation and the ability to program in MATLAB®.
Axioms of Probability Theory, Counting Rules
Conditional Probability, Bayes' Rule and Independence
Transformations of Random Variables
Joint Distributions and Independent Random Variables
Expectations, Variances, Covariances and Correlation
Moment Generating Functions I & II
Method-of-Moments Estimation
Likelihood Theory I
Propagation of Error
Bootstrap and Monte Carlo Methods
Grading will be based on problem sets, two in-class examinations and the final examination. The final grade will weight as:
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Statistics for brain and cognitive science