Fitting Priors

Under the random effects model, using (2.13), and extending the power prior of Ibrahim and Chen (2000), the fitting prior for under the random effects model is given by 

Under the fixed effects model, the fitting prior for is given by 

We note that we may choose different values for the hyperparameter Tq/ for those location parameters including jg, jy 0, and 0g under the random effects model and yg, yy 0jt, and 0ojt under the fixed effects model. We also note that there is no information about y and 0 (or 0) in the historical data. 

18) and (2.19), the parameter Ug controls the influence of the historical meta-survival data Dqko on the fitting prior for yg and under the random effects model or for yg under the fixed effects model in I Ug, Dqko) and I Aq/ Doko ) The parameter Ug can be interpreted 

18) and (2.19), we consider a fixed Ug. When ag is fixed, we know exactly how much historical meta-data are incorporated in the new metatrial and also how the type I error and power are related to ag. As shown in our simulation study in Section 2.7, a fixed ag provides us additional flexibility in controlling the type I error. In addition, our informative prior specification only allows us to borrow historical meta-data for the control arm. Thus, the historical meta-data have the most influence on Yo but not on Yi- 

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K to 10 K, 2 K to 20 K, and 5 K to 30 K. At temperatures higher than 30 K, intervals of 10 K are used. If the data are not reported in the temperature intervals desired by us, the data are interpolated. The spline function technique is used to determine the interpolated heat capacity at desired temperature. If unsmoothed data have been reported by the authors, the data are smoothed by curve-fitting prior to storage. 

We note that the fitting priors, and ), may be improper as long... 

In subsequent subsections, we discuss how to elicit the fitting priors using these five historical datasets shown in Table 2.2. 

Figure 26.7 Snap-fit prior to assembly (top) and after assembly (bottom).

The compartments of tank trucks must be carefully inspected to verily that they are free of any loose conductive material such as fittings prior to loading. 

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