Estimation of the Number of “True” Null Hypotheses in Multivariate Analysis of Neuroimaging Data
@article{Turkheimer2001EstimationOT, title={Estimation of the Number of “True” Null Hypotheses in Multivariate Analysis of Neuroimaging Data}, author={Federico E. Turkheimer and C. B. Smith and Kathleen C. Schmidt}, journal={NeuroImage}, year={2001}, volume={13}, pages={920-930} }
The repeated testing of a null univariate hypothesis in each of many sites (either regions of interest or voxels) is a common approach to the statistical analysis of brain functional images. Procedures, such as the Bonferroni, are available to maintain the Type I error of the set of tests at a specified level. An initial assumption of these methods is a "global null hypothesis," i.e., the statistics computed on each site are assumed to be generated by null distributions. This framework may be…
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References
SHOWING 1-10 OF 44 REFERENCES
Nonparametric Analysis of Statistic Images from Functional Mapping Experiments
- MathematicsJournal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism
- 1996
This work presents a nonparametric approach to significance testing for statistic images from activation studies, replacing formal assumptions with a computationally expensive approach that extends easily to other paradigms, permittingnonparametric analysis of most functional mapping experiments.
Comparing Functional (PET) Images: The Assessment of Significant Change
- MathematicsJournal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism
- 1991
This report describes an approach that may partially resolve the uncertainty in assessing the significance of statistical parametric maps and models the SPM as a stationary stochastic process.
Statistical “Discoveries” and Effect-Size Estimation
- Mathematics
- 1989
Abstract Current methods of statistical inference are correct but incomplete. Small probability (α) of wrong null-hypothesis rejections can be misunderstood. Definitive rejections of null hypotheses,…
Step-up multiple testing of parameters with unequally correlated estimates.
- MathematicsBiometrics
- 1995
It is shown how the step-up multiple test procedure can be extended to include unequally correlated parameter estimates, for example, in experiments involving comparisons among treatment groups with unequal sample sizes.
STATISTICAL MODELING OF PET IMAGES IN WAVELET SPACE
- Physics
- 2000
A new method for the analysis of multiple studies measured with emission tomography by performing the statistical modeling step in wavelet space, which allows the direct estimation of the error for each wavelet coefficient.
Controlling the false discovery rate: a practical and powerful approach to multiple testing
- Business
- 1995
SUMMARY The common approach to the multiplicity problem calls for controlling the familywise error rate (FWER). This approach, though, has faults, and we point out a few. A different approach to…
Plots of P-values to evaluate many tests simultaneously
- Mathematics
- 1982
SUMMARY When a large number of tests are made, possibly on the same data, it is proposed to base a simultaneous evaluation of all the tests on a plot of cumulative P-values using the observed…
Statistical Modeling of Positron Emission Tomography Images in Wavelet Space
- MathematicsJournal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism
- 2000
A new method is introduced for the analysis of multiple studies measured with emission tomography that allows the direct estimation of the error for each wavelet coefficient and therefore obtains estimates of the effects of interest under the specified statistical risk.
Methods of correcting for multiple testing: operating characteristics.
- MedicineStatistics in medicine
- 1997
The operating characteristics of 17 methods for correcting p-values for multiple testing on synthetic data with known statistical properties are examined, finding that a uniformly best method of those examined does not exist.
A Three-Dimensional Statistical Analysis for CBF Activation Studies in Human Brain
- MathematicsJournal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism
- 1992
A simple method for determining an approximate p value for the global maximum based on the theory of Gaussian random fields is described, which focuses on the Euler characteristic of the set of voxels with a value larger than a given threshold.