Heatmap plot of the Interval Wise Testing Procedure results

Plotting function creating a graphical output of the IWT: the p-value heat-map, the plot of the corrected p-values, and the plot of the functional data.

Usage

IWTimage(
  IWT_result,
  alpha = 0.05,
  abscissa_range = c(0, 1),
  nlevel = 20L,
  plot_unadjusted = FALSE
)

Arguments

IWT_result

Results of the ITP, as created by IWT1, IWT2, IWTaov, and IWTlm.

alpha

Threshold for the interval-wise error rate used for the hypothesis test. The default is alpha=0.05.

abscissa_range

Range of the plot abscissa. The default is c(0,1).

nlevel

Number of desired color levels for the p-value heatmap. The default is nlevel=20.

plot_unadjusted

Flag indicating if the unadjusted p-value function has to be added to the plots. The default is FALSE.

Value

No value returned.

References

Pini, A., & Vantini, S. (2018). Interval-wise testing for functional data. Journal of Nonparametric Statistics, 29(2), 407-424.

Pini, A., Vantini, S., Colosimo, B. M., & Grasso, M. (2018). Domain‐selective functional analysis of variance for supervised statistical profile monitoring of signal data. Journal of the Royal Statistical Society: Series C (Applied Statistics) 67(1), 55-81.

Abramowicz, K., Hager, C. K., Pini, A., Schelin, L., Sjostedt de Luna, S., & Vantini, S. (2018). Nonparametric inference for functional‐on‐scalar linear models applied to knee kinematic hop data after injury of the anterior cruciate ligament. Scandinavian Journal of Statistics 45(4), 1036-1061.

See also

See plot.IWT1, plot.fdatest2, plot.IWTlm, and plot.IWTaov for the plot method applied to the IWT results of one- and two-population tests, linear models, and ANOVA, respectively.

Examples

# Performing the IWT for two populations 
IWT.result <- IWT2(NASAtemp$milan, NASAtemp$paris, B = 10L)
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#> ── Creating the p-value matrix: end of row 249 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 250 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 264 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 310 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 311 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 312 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 313 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 314 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 319 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 320 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 321 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 322 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 323 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 324 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 325 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 326 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 327 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 328 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 329 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 331 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 335 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 336 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 337 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 338 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 339 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 340 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 341 out of 365 ──────────────────────
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#> ── Creating the p-value matrix: end of row 342 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 343 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 344 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 345 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 346 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 347 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 348 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 349 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 350 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 351 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 352 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 353 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 354 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 355 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 356 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 357 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 358 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 359 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 360 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 361 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 362 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 363 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 364 out of 365 ──────────────────────
#> 
#> ── Creating the p-value matrix: end of row 365 out of 365 ──────────────────────
#> 
#> ── Interval-Wise Testing completed ─────────────────────────────────────────────

# Plotting the results of the IWT
IWTimage(IWT.result, abscissa_range = c(0, 12))

# Selecting the significant components for the radius at 5\% level
which(IWT.result$corrected.pval < 0.05)
#> integer(0)