Warianty tytułu
The distribution of the T-Student's statistic given the variance from a normal sample
Języki publikacji
Abstrakty
It is not so easy to lecture on higher mathematics for economy students. Advanced notions must be often presented for people without an appropriate theoretical background, which forces the teacher to simplify. Unfortunately, the praxis shows that the frontier between a simplification and a factual error is often very subtle and it happens this frontier is sometimes crossed. Such a situation occurs just in the case of the problem, which will be described in this paper. It is a known fact that the so called Student's T statistics from a normal distributed sample is t-Student distributed, without any doubt. But in handbooks for economy students several authors try to use this statistics for exercises with mathematical tables of the t-Student distribution, ordering a calculation of the probability that the sample average will belong to the given interval, in the case when the theoretical variance is unknown but the sample variance has been calculated. Unfortunately, such a situation has nothing to do with the t-Student distribution and this error is systematically copied in successive handbooks.(original abstract)
Słowa kluczowe
Twórcy
autor
- Uniwersytet Ekonomiczny we Wrocławiu
Bibliografia
- Billingsley P. (2009). Prawdopodobieństwo i miara. Wydawnictwo Naukowe PWN. Warszawa.
- Feller W. (2007). Wstęp do rachunku prawdopodobieństwa. Wydawnictwo Naukowe PWN. Warszawa.
- Kassyk-Rokicka H. (red.) (2001). Statystyka. Zbiór zadań. PWE. Warszawa.
- Ostasiewicz S., Rusnak Z., Siedlecka U. (2004). Statystyka. Elementy teorii i zadania. Wydawnictwo Akademii Ekonomicznej we Wrocławiu. Wrocław.
- Pawłowski Z. (1980). Statystyka matematyczna. PWN. Warszawa.
- Wawrzynek J. (2007). Metody opisu i wnioskowania statystycznego. Wydawnictwo Akademii Ekonomicznej we Wrocławiu. Wrocław.
- Witkowski M. (red.) (2010). Statystyka matematyczna w zarządzaniu. Wydawnictwo Uniwersytetu Ekonomicznego w Poznaniu. Poznań.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171372415