Berechnung des maximalen Signifikanzniveaus des Testes „LehneH0 ab, wennk untern gegebenen Tests zur Ablehnung führen”

SummaryIf for a simple hypothesis there aren tests with critical regionsKi and level of significance αi a new test may be constructed with the rule “reject the hypothesis if at leastk among then tests reject”. The level of significance of this compound test was calculated byRüger [1978] in this journal; a simple proof is supplied here.