158 Chapter 7 We also assume the moment conditions Combining Equation 13 and Equation 14 with Equation 8 gives where is the Pearson correlation between and . Combining Equation 1 with Equation 8 gives where and . Assuming are the same on day 0 and day 5, it is possible to show that where is the Pearson correlation between opportunistic S/F94 measurements on day 5 and day 0, and is the Pearson correlation between protocolised S/F94 measurements on day 5 and day 0. Therefore, and can be consistently estimated by using consistent estimators for and together with Equation 15, Equation 16 and Equation 18. Denoting these estimators and respectively, we define where and is the corresponding estimate of the probability of day 28 mortality for individual i. We have
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