Premium
A New Statistical Goodness‐of‐Fit Test Based on Graphical Representation
Author(s) -
Öztürk A.,
Dudewicz E. J.
Publication year - 1992
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.4710340403
Subject(s) - goodness of fit , test statistic , mathematics , statistics , order statistic , statistical hypothesis testing , null hypothesis , null distribution , one and two tailed tests , statistic , kolmogorov–smirnov test , representation (politics) , pearson's chi squared test , alternative hypothesis , politics , political science , law
A statistical goodness‐of‐fit test, based on representing the sample observations by linked vectors, is developed. The direction and the length of the linked vectors are defined as functions of the expected values of the order statistics and sample order statistics, respectively. The underlying method can be used to test distributional assumptions for any location‐scale family. A test statistic Q n is introduced and some of its properties are studied. It is shown that the proposed test can be generalized to test if two or more independent samples come from the same distribution. The test procedure provides a graphical method of identifying the true distribution when the null hypothesis is rejected.