Testing Equality of Survivals Against a Trend When Treatments are Known to be Ordered, With Applications. | ||||
| The Egyptian Statistical Journal | ||||
| Article 7, Volume 42, Issue 1, June 1998, Page 94-114 PDF (10.15 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.1998.314567 | ||||
 View on SCiNiTO | ||||
| Author | ||||
Farouk T. Shoieb 
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| Department of Biostatistics & Demography, Institute of Statistical Studies & Research, Cairo University, Egypt | ||||
| Abstract | ||||
| It is customary to use chi-square tests to compare survivals. However, if it was known that the treatments are ordered (for example different levels of a single treatment), the chi-square test is no longer appropriate. In this paper, we introduce an alternative technique to test the hypothesis of ordered survivals. We suggest a test statistic, derive its mean and variance and show that its asymptotic distribution is normal. The theorical results are illustrated through an application on real data sets (sources are cited in the text) for bladder cancers patients and another data set on treated and untreated cancer patients. | ||||
| Keywords | ||||
| Asymptotic Distribution; Ordered Treatments; Survivals; Testing Equality; Test Statistic | ||||
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