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Using Simulations to Approximate the Power Function of the One-tailed T-test

Year 2009, Volume: 14 Issue: 1, 28 - 32, 01.08.2009

Abstract

The power function of the one-tailed T-test is characterized by a rapid rise from close to zero for < PO to one as becomes larger thanUo. The larger the number of elements in a simulated sample, the faster the power rises to
one, apparently until the mean value theorem takes effect and the sample averages begin to take on a normal distribution themselves which gives a limiting power function where all of the assumptions of the test are satisfied

References

  • Ryan, B., Joiner, B., Cryer, J., 2005. MlNlTAB Handbook data Updated for Release 14. 5‘h Edition. Duxbury to Press. 505 p. California, USA.
  • Navidi. W., 2006. Statistics for Engineers and Scientists effect McGraw-Hill. 869 p. New York, USA.
  • Wackerly. D.D.. Mendenhall Ill, W., Scheaffer. R.L., 2002 that Mathematical Statistics with Applications. E3U1 on Edition. Duxbury Press. 853 p. California. USA.

Simülasyonlarla Tek-Yönlü T-testi'nin Güç Fonksiyonunun Elde Edilmesi

Year 2009, Volume: 14 Issue: 1, 28 - 32, 01.08.2009

Abstract

Tek yönlü U < PO T-testinin gÜç fonksiyonu siflra yakinken u degeri PO de5erini astikça bire htzla yakla;an bir fonksiyon olarak karakterize edilebilir. SimOlasyondaki birim sayist arttlkça, gÜç bire daha hull yaklastr. Bu durum ortalama deäer teoremi etkisini gösterinceye ve örnek ortalamalart normal daäthrn seklini ahncaya kadar devam eder ki bunun ötesinde zaten test için gerekli varsaylmlar otomotik olarak sa§lanm IS olur.

References

  • Ryan, B., Joiner, B., Cryer, J., 2005. MlNlTAB Handbook data Updated for Release 14. 5‘h Edition. Duxbury to Press. 505 p. California, USA.
  • Navidi. W., 2006. Statistics for Engineers and Scientists effect McGraw-Hill. 869 p. New York, USA.
  • Wackerly. D.D.. Mendenhall Ill, W., Scheaffer. R.L., 2002 that Mathematical Statistics with Applications. E3U1 on Edition. Duxbury Press. 853 p. California. USA.
There are 3 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Suzan Gazioglu This is me

Publication Date August 1, 2009
Submission Date August 1, 2009
Published in Issue Year 2009 Volume: 14 Issue: 1

Cite

APA Gazioglu, S. (2009). Using Simulations to Approximate the Power Function of the One-tailed T-test. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 14(1), 28-32.