Tests of normality based on EDF statistics using partially rank ordered set sampling designs

Yusuf Can SEVİL; Tuğba YILDIZ

Makale detayları

Tests of normality based on EDF statistics using partially rank ordered set sampling designs

Yazarlar:

Yusuf Can SEVİL | Tuğba YILDIZ

Yayıncı:

Başbakanlık

Ana Başlıklar:

Matematik

Dergi:

Istatistik Journal of The Turkish Statistical Association 2021 Vol.13 Issue 2, pp.52-73

Belge Tipi:

Makale

Yayın Tarihi:

6/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000709879

Sıklık:

İki Yıllık

pISSN:

1300-4077

Özet:

 

In this study, we considered five goodness-of-fit (GOF) tests based on empirical distribution function (EDF) which are Kolmogorov-Smirnov (D), Kuiper (V ), Cram´er-von Mises (W2), Watson (U2), Anderson-Darling (A2) tests to assess normality. Thus, we first suggested the EDFs based partially rank ordered set (PROS) sampling designs which are known as PROS Level-0, Level-1 and Level-2 sampling designs. Then, we discussed the relative efficiencies of the suggested EDFs w.r.t their counterparts of simple random sampling (SRS) and ranked set sampling (RSS). The main idea of this study is to compare the performances of the five different GOF tests based on PROS sampling designs with the GOF tests based on SRS and RSS. For this purpose, we investigated the power of the suggested GOF tests based on PROS sampling designs by performing simulations. In addition to the simulations, a real data set is considered to illustrate the GOF tests based on PROS sampling designs. According to the results, it can be seen that the EDFs based on PROS sampling designs are more efficient than the EDFs based on SRS and RSS. Also, it is clearly appeared that the GOF tests, Kolmogorov-Smirnov (D), Cram´er-von Mises (W2) and Anderson- Darling (A2), based on PROS sampling designs has the best power performance.

Makale detayları

Tests of normality based on EDF statistics using partially rank ordered set sampling designs

Yazarlar: Yusuf Can SEVİL | Tuğba YILDIZ

Yayıncı: Başbakanlık

Ana Başlıklar: Matematik

Dergi: Istatistik Journal of The Turkish Statistical Association 2021 Vol.13 Issue 2, pp.52-73

Belge Tipi: Makale

Yayın Tarihi: 6/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000709879

Sıklık: İki Yıllık

pISSN: 1300-4077

Sayı

Yazarlar:

Yusuf Can SEVİL | Tuğba YILDIZ

Yayıncı:

Başbakanlık

Ana Başlıklar:

Matematik

Dergi:

Istatistik Journal of The Turkish Statistical Association 2021 Vol.13 Issue 2, pp.52-73

Belge Tipi:

Makale

Yayın Tarihi:

6/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000709879

Sıklık:

İki Yıllık

pISSN:

1300-4077