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Articles

Eight predictive powers with historical and interim data for futility and efficacy analysis

ORCID Icon, & ORCID Icon
Pages 277-298 | Received 05 Apr 2021, Accepted 28 Aug 2021, Published online: 25 Oct 2021

Figures & data

Table 1. The eight predictive powers with historical and interim data, their analytical expressions, the predictive distributions, the data used, and the references for the hypotheses H0:δδ0 versus H1:δ>δ0.

Table 2. The eight predictive powers with historical and interim data, their analytical expressions, the predictive distributions, and the data used for the reversed hypotheses H0:δδ0 versus H1:δ<δ0.

Figure 1. The data structures of the historical data, interim data and future data.

Figure 1. The data structures of the historical data, interim data and future data.

Table 3. The eight predictive powers with historical and interim data of eventual conclusions for the B-14 trial after the first interim analysis in 1993. Two prior distributions are considered: a sceptical prior and an optimistic prior.

Figure 2. The sensitivity analysis of d0 on the eight predictive powers.

Figure 2. The sensitivity analysis of d0 on the eight predictive powers.

Figure 3. The sensitivity analysis of m0 on the eight predictive powers.

Figure 3. The sensitivity analysis of m0 on the eight predictive powers.

Table 4. The increase–decrease characteristics of Iis, Iis, 1IisIis, Iio, Iio and 1IioIio for i=1,,8 observed from Figure .

Figure 4. The sensitivity analysis of d1 on the eight predictive powers.

Figure 4. The sensitivity analysis of d1 on the eight predictive powers.

Figure 5. The sensitivity analysis of m1 on the eight predictive powers.

Figure 5. The sensitivity analysis of m1 on the eight predictive powers.

Table 5. The increase–decrease characteristics of Iis, Iis, 1IisIis, Iio, Iio and 1IioIio for i = 2, 3, 4, 6, 7, 8 observed from Figure .

Figure 6. The sensitivity analysis of m2 on the eight predictive powers.

Figure 6. The sensitivity analysis of m2 on the eight predictive powers.

Table 6. The increase–decrease characteristics of Iis, Iis, 1IisIis, Iio, Iio and 1IioIio for i=1,,8 observed from Figure .

Figure 7. The sensitivity analysis of t on the eight predictive powers.

Figure 7. The sensitivity analysis of t on the eight predictive powers.