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In this chapter, we describe the repeated significance tests approach which is the conceptual background of the “classical” group sequential tests. These tests were partly made feasible through a specific (recursive) integration formula, which is a consequence of the independent increment structure of the underlying process of data accumulation. This formula is due to Armitage et al. (1969) and McPherson and Armitage (1971). We will briefly introduce it in Sect. 1.4. Note that this section is quite technical and can be omitted for the first reading.

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Repeated Significance Tests

  • 章节

  • 发表日期：

    2025年

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  • Gernot Wassmer,
  • Werner Brannath

摘要

In this chapter, we describe the repeated significance tests approach which is the conceptual background of the “classical” group sequential tests. These tests were partly made feasible through a specific (recursive) integration formula, which is a consequence of the independent increment structure of the underlying process of data accumulation. This formula is due to Armitage et al. (1969) and McPherson and Armitage (1971). We will briefly introduce it in Sect. 1.4. Note that this section is quite technical and can be omitted for the first reading.