Test statistic field maxima

The basic procedure for RFT validations is outlined in Examples/Basic/Validating. This section presents code details for validating the probability with which test statistic field maxima survive particular thresholds.

See ./rft1d/examples/val_max_1_onesample_t_1d.py and other “val_max*.py” scripts

Validations for test statistic set-level and cluster-level inference are available in scripts titled ./rft1d/examples/val_upx*.py

Note

To see details of test statistic computation click on the “Source code” links above each figure.

Univariate

One-sample

(Source code, 2x.png, png, hires.png, pdf)

Two-sample

(Source code, 2x.png, png, hires.png, pdf)

Regression

(Source code, 2x.png, png, hires.png, pdf)

One-way ANOVA

(Source code, 2x.png, png, hires.png, pdf)

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Multivariate

One-sample

(Source code, 2x.png, png, hires.png, pdf)

Note

Increasing the number of iterations will cause the results to converge to RFT expectations.

Two-sample

(Source code, 2x.png, png, hires.png, pdf)

Canonical correlation analysis

(Source code, 2x.png, png, hires.png, pdf)

MANOVA

(Source code, 2x.png, png, hires.png, pdf)