Statistical Analysis of the Phosphate Data of the World Ocean Database 2013

TL;DR

This paper performs a comprehensive statistical analysis of phosphate data from the World Ocean Database 2013, examining distributional properties and variability to inform oceanographic research.

Contribution

It introduces a detailed statistical methodology for analyzing oceanic phosphate data, including distribution assessment and variability measures, applicable to similar datasets.

Findings

Identification of distributional characteristics of phosphate data

Quantification of variability through statistical measures

Insights into the data's underlying probability distributions

Abstract

The phosphate data of the World Ocean Database 2013 are extensively statistically analyzed by splitting the measurement results into a long scale, i.e., climatological, and a short scale part. Means, medians, absolute and relative standard deviations, interquartile ranges, quartile coefficients of dispersion, correlations and covariances are estimated and analyzed. The underlying probability distributions are investigated using visual inspection as well as statistical tests. All presented methods are applicable to other data as long as they satisfy the postulated assumptions.