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Building an ALT Model

The WeibullR.ALT package uses a three-step pipeline to create an ALT model.

Step 1 — Create data sets for each stress level using alt.data():

d1 <- alt.data(c(248, 456, 528, 731, 813, 537), stress = 300)
d2 <- alt.data(c(164, 176, 289), stress = 350)
d3 <- alt.data(c(88, 112, 152), stress = 400)

Step 2 — Fit parallel models across stress levels using alt.make() and alt.parallel():

obj <- alt.parallel(
  alt.make(list(d1, d2, d3), dist = "weibull", alt.model = "arrhenius", view_dist_fits = FALSE),
  view_parallel_fits = FALSE
)

Step 3 — Fit the life-stress relationship using alt.fit():

obj <- alt.fit(obj)

ALT Probability Plot

plotly_alt() overlays one probability-paper fit line per stress level. Data points show empirical plotting positions; lines show the theoretical Weibull (or lognormal) fit. Click a legend entry to toggle a stress level on or off.

Customization

The plot accepts several optional arguments:

plotly_alt(
  obj,
  main    = "Reliability Test Results",
  xlab    = "Hours to Failure",
  cols    = c("#1f77b4", "#ff7f0e", "#2ca02c"),
  showGrid = FALSE
)

Life-Stress Relationship Plot

plotly_rel() displays how characteristic life (eta for Weibull, median life for lognormal) changes with stress level, along with the fitted Arrhenius or Power Law relationship.

The plot includes:

  • Points (×) — characteristic-life estimates from parallel fits at each stress level
  • Red line — fitted life-stress relationship (Arrhenius or Power Law)
  • Dashed blue lines — percentile bands (10th and 90th by default)

Percentile Bands

Use the percentiles argument to change which percentile bands are shown:

plotly_rel(obj, percentiles = c(5, 50, 95))

Hiding Percentile Lines

Set showPerc = FALSE to show only the fitted relationship line:

plotly_rel(obj, showPerc = FALSE)

Customization

plotly_rel(
  obj,
  main    = "Arrhenius Life-Stress Relationship",
  fitCol  = "darkgreen",
  percCol = "steelblue",
  signif  = 4
)