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A Truncated Proportional Hazards Test
Author(s) -
Lachenbruch P. A.,
Seibert S.,
Amini S.
Publication year - 1984
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710260305
Subject(s) - statistic , statistics , mathematics , test statistic , percentile , fisher information , sufficient statistic , f test , statistical hypothesis testing
We present two truncated proportional hazards tests. The first, which is applicable to those cases in which the time of action of an agent or treatment is known, was studied in two forms: One uses expected Fisher information and the other observed Fisher information. In this case the expected information statistic, C 1 ( a 0 ), had properties superior to the observed information statistic and is recommended. The use of the X 2 distribution with one degree of freedom for percentiles appears to be satisfactory. When the time of action is unknown, a statistic based on the maximum of the C 1 ( a ) statistics is used. A simulation study gives empirical percentiles for the Max C 1 ( a ) statistic which agree with those given in a study by Muenz, Green and Byar (1977).