Some applications of determinant in undergraduate statistics courses
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
This paper explains some concepts of statistics and probability courses via the approach of determinant. It demonstrates the concept of independence of Navidi (2008) along with its implication on the basic properties of probability. The de¯nition of conditional probability leads to Bayes's rule and the determinant form of it yields that they are equivalent. The presentation of the proof via determinant approach is simple, interesting and it derives the strength from Venn diagrams of the relevant events. An alternative formula of pairwise independence is presented when dealing with three events. This is di®erent from Devore (2004). Applications of determinant help provide a new approach to revisit the contingency tables. Finally, the concept of correlation is explained by utilyzing the notion of determinant. Throughout the paper, examples are presented to point out the usefulness of the various determinant formulas. The aim of this paper is provide insights that determinants are extremely useful as they create pedagogical value to one's learning.
Açıklama
Anahtar Kelimeler
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Mahmood, M. (2009). Some applications of determinant in undergraduate statistics courses. Maltepe Üniversitesi. s. 286.
