A Distribution Free Test Statistics for Two Sample Problem and Power Comparison with Other Tests Via Simulation
Öz
In this article, a new test statistics for two sample problem is proposed and the power of the test is compared with power of Kolmogorov-Smirnov and Mann-Whitney Wilcoxon tests.
Anahtar Kelimeler
Distribution Free Test Statistic Two Sample Problem Simulation
Kaynakça
- BAIRAMOV, I.G., ÖZKAYA N. (2000). "On The Nonparametric Test For Two Sample Problem Based On Spacings." Journal of Applied Statistical Science, vol. 10, No. 1 pp. 57-68.
- BOROVKOV, A.A. (1975) Asymptotically Optimal Tests for Compound Hypotheses. Theor. Prob. Appl. Vol. 20, No:1. pp. 447-469.
- DAVID H.A. (1970), Order Statistics, John Wiley&Sons, Inc., New York.
- DIXON, W.J., (1940) A Criterion for Testing the Hypothesis Thet Two Samples are From the Same Population, Ann. Math. Stat., Vol. 11.pp. 199-204.
- RANDLES, R. H., WOLFE, D.A. (1979), Introduction to The Theory of Nonparametric Statistics. John Wiley&Sons, Inc., New York.
- SIDDIQUI and GÜRLER (1992) A Two Sample Matching Test, Order Statistics and Nonparametrics Theory and Appl. pp.237-243.
- SMIRNOV, N. (1939) On the Estimation of the Discrepancy Between Emprical Curves of Distribution for Two Independent Samples, Bull. Math. Univ. Moscow, Vol. 2. No:2 pp. 3-16.
- WALD, A. and WOLFOWITZ, J. (1940) On a Test Whether Tho Samples are From the Same Population, Ann Math Star Vol. 11, pp. 147-162.
- WILKS, S.S. (1962) A Combinatorial Tests for the Problem of Two Samples are From Continuous Distributions, Proc. Fourth Berkeley Symp. on Math Stat and Prob., University of California Press.
İki Örneklem Problemi için Dağılımdan Bağımsız bir Test İstatistiği ve Simulasyon Yardımıyla Diğer Testlerle Gücünün Karşılaştırılması
Öz
Bu çalışmada, iki örneklem problem için yeni bir test istatistiği önerilmiş ve testin gücü Kolmogorov-Smirnov ve Mann-Whitney Wilcoxon testlerinin gücüyle karşılaştırılmıştır.
Anahtar Kelimeler
Dağılımdan Bağımsız İstatistik İki Örneklem Problemi Simülasyon
Kaynakça
- BAIRAMOV, I.G., ÖZKAYA N. (2000). "On The Nonparametric Test For Two Sample Problem Based On Spacings." Journal of Applied Statistical Science, vol. 10, No. 1 pp. 57-68.
- BOROVKOV, A.A. (1975) Asymptotically Optimal Tests for Compound Hypotheses. Theor. Prob. Appl. Vol. 20, No:1. pp. 447-469.
- DAVID H.A. (1970), Order Statistics, John Wiley&Sons, Inc., New York.
- DIXON, W.J., (1940) A Criterion for Testing the Hypothesis Thet Two Samples are From the Same Population, Ann. Math. Stat., Vol. 11.pp. 199-204.
- RANDLES, R. H., WOLFE, D.A. (1979), Introduction to The Theory of Nonparametric Statistics. John Wiley&Sons, Inc., New York.
- SIDDIQUI and GÜRLER (1992) A Two Sample Matching Test, Order Statistics and Nonparametrics Theory and Appl. pp.237-243.
- SMIRNOV, N. (1939) On the Estimation of the Discrepancy Between Emprical Curves of Distribution for Two Independent Samples, Bull. Math. Univ. Moscow, Vol. 2. No:2 pp. 3-16.
- WALD, A. and WOLFOWITZ, J. (1940) On a Test Whether Tho Samples are From the Same Population, Ann Math Star Vol. 11, pp. 147-162.
- WILKS, S.S. (1962) A Combinatorial Tests for the Problem of Two Samples are From Continuous Distributions, Proc. Fourth Berkeley Symp. on Math Stat and Prob., University of California Press.
Ayrıntılar
| Birincil Dil | Türkçe |
|---|---|
| Konular | İstatistiksel Analiz, Örnekleme Teorisi |
| Bölüm | Araştırma Makaleleri |
| Yazarlar | |
| Yayımlanma Tarihi | 17 Ağustos 2003 |
| Yayımlandığı Sayı | Yıl 2003 Cilt: 2 Sayı: 2 |
