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Use of chi square periodogram in the analysis of estrous rhythmicity
Institution:1. Department of Psychology, “Sapienza” University of Rome, Rome, Italy;2. Department of Life, Health and Environmental Sciences, University of L''Aquila, L''Aquila, Italy;1. Department of Statistics and Operations Researches, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia;2. Mathematics Department, College of Sciences and Humanities Studies in Al-Kharj, Prince Sattam Bin Abdulaziz University, Saudi Arabia;3. Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522, Egypt;4. Department of Engineering Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura 35516, Egypt
Abstract:The usefulness of the chi square periodogram procedure for the analysis of estrous rhythmicity was investigated. Sokolove-Bushell's Q statistic was found to have a chi square distribution at the small degress of freedom involved in estrous rhythmicity in rodents (i.e. rhythmicity with periods of 2–7 days). Consequently, the significance of the peaks in the periodogram can be effectively evaluated. The effects of multiple-period rhythmicity and of random noise added to periodical data were also investigated. Overall, the analysis of simulated as well as empirical data indicated that the chi square periodogram is an excellent tool for the evaluation of estrous rhythmicity.
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