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Method for statistical comparison of geophysical data by multiple instruments which have differing accuracies
Institution:1. University of Western Ontario, Canada;2. Defence Research Establishment, Ottawa, Canada.;3. University of Illinois, Ill., USA;1. Department of Physics, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India;2. Department of Physics, Indian Institute of Technology BHU, Varanasi 221005, Uttar Pradesh, India;3. Guru Nanak Institute of Technology, Kolkata 700114, West Bengal, India;1. Chemistry Department, Faculty of Science, Menoufia University, Shebin El-Kom, Egypt;2. Pharmaceutical Analysis Department, Faculty of Pharmacy, Damanhour University, Damanhour, Egypt
Abstract:A novel correlative technique is introduced for intercomparison of measurements of similar quantities made using different techniques. This process involves a generalized least-squares fitting method which can be used to estimate the slope of the best-fitting straight line that results when two separate data sets which are expected to be linearly correlated are compared via scatter-plots. The different data types may be subject to different uncertainties in their measurements. The algorithm determines and graphs the interrelationship between the errors in each method and the slope of the line of best fit, assuming Gaussian statistics.
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