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Table 1 Proportions of rejected null hypotheses and numbers of included covariates stratified for number of potential prognostic variables (K), strength of interaction and proportion of censored observations

From: A simulation study on estimating biomarker–treatment interaction effects in randomized trials with prognostic variables

K Interaction Censoring Main True AIC A AIC B Significance Full
12 No Low 0.058 0.060 0.062 0.056 0.059 0.060
12 No High 0.054 0.051 0.056 0.048 0.053 0.054
12 Quantitative Low 0.118 0.133 0.139 0.131 0.130 0.134
12 Quantitative High 0.095 0.100 0.108 0.099 0.096 0.099
12 Qualitative Low 0.579 0.663 0.663 0.654 0.653 0.661
12 Qualitative High 0.393 0.437 0.441 0.424 0.432 0.436
24 No Low 0.065 0.058 0.067 0.056 0.057 0.058
24 No High 0.057 0.062 0.073 0.054 0.059 0.063
24 Quantitative Low 0.115 0.135 0.150 0.131 0.131 0.136
24 Quantitative High 0.094 0.100 0.114 0.092 0.100 0.103
24 Qualitative Low 0.465 0.634 0.645 0.616 0.610 0.633
24 Qualitative High 0.349 0.411 0.426 0.383 0.399 0.415
36 No Low 0.065 0.059 0.078 0.056 0.061 0.063
36 No High 0.067 0.068 0.085 0.057 0.066 0.071
36 Quantitative Low 0.114 0.132 0.153 0.118 0.130 0.134
36 Quantitative High 0.093 0.102 0.127 0.093 0.101 0.108
36 Qualitative Low 0.412 0.618 0.629 0.578 0.576 0.610
36 Qualitative High 0.302 0.406 0.431 0.367 0.382 0.402
  1. Results are aggregated over different values of β k and Σ. For the scenarios with no true biomarker–treatment interaction, results for methods/strategies with an observed type I error probability above 7% are in italics. For scenarios with a true biomarker–treatment interaction, the observed power is in bold if the type I error probability did not exceed 7%