Journal of Probability and Statistics

Research Article

Sample Size Growth with an Increasing Number of Comparisons

Table 3

Expected outcome for testing 𝑀 hypotheses.
Truth Test decision Total
Reject 𝐻 0 Reject 𝐻 𝑎
𝐻 0 𝛼 𝑚 0 ( 1 − 𝛼 ) 𝑚 0 𝑚 0
𝐻 1 ( 1 − 𝛽 ) 𝑚 1 𝛽 𝑚 1 𝑚 1
Total 𝛼 𝑚 0 + ( 1 − 𝛽 ) 𝑚 1 ( 1 − 𝛼 ) 𝑚 0 + 𝛽 𝑚 1 𝑀