PowerPoint Presentation - Time Series Analysis in AFNI

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Meta-method for creating analysis methods

• Write down a mathematical model connecting stimulus (or “activation”) to signal

• Write down a statistical model for the noise

• Combine them to produce an equation for measurements given signal+noise

H Equation will have unknown parameters, which are to be estimated from the data

H N.B.: signal may have zero strength (no “activation”)

• Use statistical detection theory to produce an algorithm for processing the measurements to assess signal presence and characteristics

H e.g., least squares fit of model parameters to data