Permutation Tests for Metaheuristic Algorithms

Many metaheuristic approaches are inherently stochastic. In order to compare such methods, statistical tests are needed. However, choosing an appropriate test is not trivial, given that each test has some assumptions about the distribution of the underlying data that must be true before it can be used. Permutation tests (P-Tests) are statistical tests with minimal number of assumptions. These tests are simple, intuitive and nonparametric. In this paper, we argue researchers in the field of metaheuristics to adopt P-Tests to compare their algorithms. We define two statistic tests and then present an algorithm that uses them to compute the p-value. The proposed process is used to compare 5 metaheuristic algorithms on 10 benchmark functions. The resulting p-values are compared with the p-values of two widely used statistical tests. The results show that the proposed P-test is generally consistent with the classical tests, but more conservative in few cases

Permutation Tests for Metaheuristic Algorithms

Many metaheuristic approaches are inherently stochastic. In order to compare such methods, statistical tests are needed. However, choosing an appropriate test is not trivial, given that each test has some assumptions about the distribution of the underlying data that must be true before it can be used. Permutation tests (P-Tests) are statistical tests with minimal number of assumptions. These tests are simple, intuitive and nonparametric. In this paper, we argue researchers in the field of metaheuristics to adopt P-Tests to compare their algorithms. We define two statistic tests and then present an algorithm that uses them to compute the p-value. The proposed process is used to compare 5 metaheuristic algorithms on 10 benchmark functions. The resulting p-values are compared with the p-values of two widely used statistical tests. The results show that the proposed P-test is generally consistent with the classical tests, but more conservative in few cases

The Relationship between Asthma and Allergic Rhinitis in the Iraqi Population

Background: Recently, extensive research has established that epidemiologic and therapeutic links exist between allergic rhinitis and asthma. The objective of this study was to clarify this association in Iraq. Methods: The data included in this study were collected from five surveys for asthma and allergic rhinitis that were performed during the period from September 2000 to July 2008. These surveys were parts of Tikrit University College of Medicine PHC program. Results: The frequency of allergic rhinitis (AR) was 61.6% among individuals with asthma versus 6% among non-asthmatic (control) subjects (Odd Ratio [OR] = 25.5; P < 0.0001). All studies indicated a significant frequency of AR among asthmatic patients in comparison with non-asthmatic subjects, whether the patients were adults or children (OR for adults = 14.9 and 22.5, for children 34.7 and 48.4; P < 0.001 for all). Furthermore, the high frequency of AR in asthmatic patients was seen whether the study was a community based study (CBS) (OR = 14.9 and 48.4; P < 0.0001) or a hospital based study (HBS) (OR = 22.5 & 34.7; P < 0.0001). The frequency of current asthma was 51.8% among individuals with AR versus 5.4% among control subjects (OR = 23.1; P <0.0001). Conclusions: This study provided evidence that AR and asthma are strongly associated with each other and the treatment approach should consider the entire airway rather than only a part