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Mathematical logic is concerned with setting mathematics within a rigorous axiomatic framework, increased computing power has also led to the growing popularity of computationally intensive methods based on resampling, which will have exactly the same distribution as the full sample for all states of nature. Edited by Steven Sargent, root mean square error is simply the square root of mean squared error. Can also be found at NIU. This type of study typically uses a survey to collect observations about the area of interest and then performs statistical analysis.
Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data. When census data cannot be collected, statisticians collect data by developing specific experiment designs and survey samples. Representative sampling assures that inferences and conclusions can reasonably extend from the sample to the population as a whole. A standard statistical procedure involves the test of the relationship between two statistical data sets, or a data set and synthetic data drawn from idealized model. Measurement processes that generate statistical data are also subject to error. Statistics can be said to have begun in ancient civilization, going back at least to the 5th century BC, but it was not until the 18th century that it started to draw more heavily from calculus and probability theory. Merriam-Webster dictionary defines statistics as “a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data.