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Analysing cycles in biology & medicine-a practical introduction to circular variables & periodic regression

by Kim N.I. Bell

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¿Analysing Cycles...¿ teaches the statistical analysis of periodic data, i.e. data that respond to cycles like tide, day, lunar month, year, etc. Written in a welcoming style, the book is for biologists, medical researchers, climatologists, oceanographers ... from apprehensive to advanced. It is copiously illustrated with conceptual diagrams and worked-out examples; cross-references, index, and glossary make reference easy. It includes basic trigonometry and a crisp stats refresher. All you need is the book, your data, and Excel or a stats package. Cycles surround us. Indeed, they are the essence of life, and critically important in biology and medicine. But, too often, researchers are given poor advice: to keep cycles out of data¿by restricting sampling to the same time of day, tide, etc. That approach makes you wait for your chosen special times, and is even more costly with multiple cycles because you have to wait for even rarer conjunctions of special times (e.g. 1100h and high tide) in each of them. The final consequence is: no matter how carefully you worked, the opportunity to describe key cycles is lost, so your findings are virtually meaningless because they cannot be generalised outside the special times you chose. It is easier, more useful, and far more beautiful and revealing, to include cycles in analysis than to exclude them from data. Whether you need to analyse underlying cycles, or account for or remove them from data in order to visualise or estimate other effects, this book shows you how.… (more)
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¿Analysing Cycles...¿ teaches the statistical analysis of periodic data, i.e. data that respond to cycles like tide, day, lunar month, year, etc. Written in a welcoming style, the book is for biologists, medical researchers, climatologists, oceanographers ... from apprehensive to advanced. It is copiously illustrated with conceptual diagrams and worked-out examples; cross-references, index, and glossary make reference easy. It includes basic trigonometry and a crisp stats refresher. All you need is the book, your data, and Excel or a stats package. Cycles surround us. Indeed, they are the essence of life, and critically important in biology and medicine. But, too often, researchers are given poor advice: to keep cycles out of data¿by restricting sampling to the same time of day, tide, etc. That approach makes you wait for your chosen special times, and is even more costly with multiple cycles because you have to wait for even rarer conjunctions of special times (e.g. 1100h and high tide) in each of them. The final consequence is: no matter how carefully you worked, the opportunity to describe key cycles is lost, so your findings are virtually meaningless because they cannot be generalised outside the special times you chose. It is easier, more useful, and far more beautiful and revealing, to include cycles in analysis than to exclude them from data. Whether you need to analyse underlying cycles, or account for or remove them from data in order to visualise or estimate other effects, this book shows you how.

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