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The Larson–Miller model is used for experimental tests so that results at certain temperatures and stresses can predict rupture lives of time spans that would be impractical to reproduce in the laboratory. Expanding the equation as a Taylor series makes the relationship easier to understand. Only the first terms are kept.
The Hollomon–Jaffe parameter (HP), also generally known as the Larson–Miller parameter, [1] describes the effect of a heat treatment at a temperature for a certain time. [2] This parameter is especially used to describe the tempering of steels, so that it is also called tempering parameter.
Pre-test probability: For example, if about 2 out of every 5 patients with abdominal distension have ascites, then the pretest probability is 40%. Likelihood Ratio: An example "test" is that the physical exam finding of bulging flanks has a positive likelihood ratio of 2.0 for ascites.
The equations show that the hardening effect of solutes is strong if the factor B in the power-law equation is low so that the dislocations move slowly and the diffusivity D sol is low. Also, solute atoms with both high concentration in the matrix and strong interaction with dislocations are strong gardeners.
The likelihood-ratio test, also known as Wilks test, [2] is the oldest of the three classical approaches to hypothesis testing, together with the Lagrange multiplier test and the Wald test. [3] In fact, the latter two can be conceptualized as approximations to the likelihood-ratio test, and are asymptotically equivalent.
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Since the score is a function of the observations, which are subject to sampling error, it lends itself to a test statistic known as score test in which the parameter is held at a particular value. Further, the ratio of two likelihood functions evaluated at two distinct parameter values can be understood as a definite integral of the score ...
In the equation shown on this page, it shows the larson-miller parameter to be the activation energy over the gas constant and then has log of the time on the other side. Up until this point natural log was being used, in that case it should be the natural log of time.