In the Crow-AMSAA model, the maximum likelihood estimate (MLE) of β is biased. This option fits a Crow AMSAA model where β is adjusted for bias.

Crow AMSAA with Modified MLE Report shows a Crow-AMSAA with Modified MLE fit to the data in TurbineEngineDesign1.jmp.

The formula for the bias-corrected estimate of β depends on whether the test is failure terminated or time terminated. See Parameter Estimates for Crow-AMSAA with Modified MLE for details.

When the Crow-AMSAA with Modified MLE option is selected, the Cumulative Events Plot updates to display this model. The Model List also updates. The Crow-AMSAA with Modified MLE report opens to show the MTBF plot, Estimates, and Covariance Matrix for the Crow-AMSAA with Modified MLE fit; this plot is described in the section MTBF Plot.

In addition to Show MTBF plot, available options are Show Intensity Plot, Show Cumulative Events Plot, Show Profilers, Achieved MTBF, and Goodness of Fit. These reports are described under Crow AMSAA. Details of how the modified MLEs are used to construct these reports are given in Parameter Estimates for Crow-AMSAA with Modified MLE. Details about the Goodness of Fit and Achieved MTBF reports specific to the modified MLE option are given below.

Because the Crow-AMSAA with Modified MLE option is available only when the data are entered as a single Time to Event or Timestamp column, the Goodness of Fit test is a Cramér-von Mises test. Because the estimate of β is used in this test is bias-corrected, the test results are identical to those of the Goodness of Fit test for the Crow-AMSAA model.