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Multiple test procedures and the closure principle

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Alt R., Institute for Advanced Studies of Vienna
Acta Universitatis Lodziensis. Folia Oeconomica
|
1993
|
vol. 132
EN
In this paper we show how to apply the closure test principle in case of testing linear hypotheses within the classical regression model. The closure test principle which was introduced by (Marcus, Peritz, Gabriel (1976)) results in the construction of test procedures which are in general much more powerful then conventional test procedures like the Bonferroni procedure or the Schöffe' procedure. A small simulation study provides some evidence of the superiority of closed test procedures compared to classical test procedures.
PL
W pracy tej pokazujemy jak stosować zasadę testu domknięcia w przypadku badania hipotez liniowych w klasycznym modelu regresji. Zasada domknięcia, wprowadzona przez [Marcusa, Peritza, Gabriela (1976)], pozwala skonstruować procedury, które zasadniczo są o wiele silniejsze niż konwencjonalne procedury testowe, np. procedura Bonferroniego czy Scheffego. Krótkie badanie symulacyjne dostarcza pewnych dowodów wyższości procedury testu wielokrotnego domkniętego nad procedurą testu klasycznego.
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