http://www.fil.ion.ucl.ac.uk/spm/doc/intro/
http://www.fil.ion.ucl.ac.uk/spm/ext/
The SPM approach in brief
The Statistical Parametric Mapping approach is voxel based:
- Images are realigned, spatially normalised into a standard space, and smoothed.
- Parametric statistical models are assumed at each voxel, using the General Linear Model GLM to describe the data in terms of experimental and confounding effects, and residual variability.
- For fMRI the GLM is used in combination with a temporal convolution model.
- Classical statistical inference is used to test hypotheses that are expressed in terms of GLM parameters. This uses an image whose voxel values are statistics, a Statistic Image, or Statistical Parametric Map (SPM{t}, SPM{Z}, SPM{F})
- For such classical inferences, the multiple comparisons problem is addressed using continuous random field theory RFT, assuming the statistic image to be a good lattice representation of an underlying continuous stationary random field. This results in inference based on corrected p-values.
- Bayesian inference can be used in place of classical inference resulting in Posterior Probability Maps PPMs .
- For fMRI, analyses of effective connectivity can be implemented using Dynamic Causal Modelling DCM.
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