Table 1.1: First baseline treatment Summary Statistics of parameter theta.

Table 1.3: Bayesian Analysis Comparing Times to failure for combination 1 versus combination 2 (the Cox Model with Covariates).

Key: Where 1 = regimen, 2 = CD 4 count, 3 = gender, 4 = weight and 5 = age

Table 1.3 is read as; Hazard ratio (HR) from a survival analysis as a “reduction in the risk of treatment failure,” by an amount equal to 100 × (1 − HR) %. Stating, for instance, that “combination 2 reduces the risk of treatment failure by 13.5%, ” based on an observed survival HR beta 1 of regimen as 0.865, is a typical way of communicating survival benefit compared to combination 1, with standard deviation of 0.1423, MC error of 0.005481, credible interval of [0.6246,1.177[ , median of 0.852 and sampled up to 50000. These values are associated with the beta value of -0.156 for regimen as shown in the key below the table. The others are patients’ covariates such as: HR beta 2 for CD4 count, HR beta 3 for gender, HR beta 4 for weight and HR beta5 for age. It can be observed that age has HR beta of 0.997 which is 100% means there is no difference in survival due to age.

Table 2.1: Overall Comparisons.

Table 2.2: Variables in the Equation