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The Importance of Statistics in Various Fields: A Comprehensive Guide
Statistics is a fast growing subject as the annual International Congress for Statistics has shown since its inception in 1853. At about the time of the Second World War, its rapid progress began and has not slackened since. It is closely connected with several other scientific disciplines. For instance, astronomy since the time of Gauss and Laplace has been kept closely connected to statistics. The use of statistics in medicine is even more ancient; but its development has been more irregular, partly as a result of the limitations imposed by available data. It is much to be hoped that the long-term impetus provided by current progress in cybernetics will overcome these difficulties. Statistics is also widely used in physics, economics, agriculture, geophysics, and the study of mental diseases.
The rapid evolution and wide range of these applications is possible only because the basic methods are very general and further because it is no part of statistics to deal with the question of the nature of the laws from which the basic data are assumed to come. Mathematics frequently makes progress by considering something in abstracto and then considering methods of application to it. This should be the purpose of statistics. Far from being concerned with the problem of the foundations of the disciplines from which data are drawn and probabilities assigned, the statistician should be content to work with the provided data and probabilities. Such a statistical theocracy would guarantee first and foremost the greatest secular freedom for human inquiry. Its administrative regions would perhaps seem like the Paradise of Laputa, an improbable ocean of islands of method, each connected to the central landmassic disciplines by methods of permissible transportation—each acting under personal and total surveillance by the admittedly not too benevolent statistician-administrator.
The importance of statistics in social sciences has been recognized for a long time. The use of statistical methods has been a growing trend in many areas of study, such as management, finance, marketing, sports, industry, economy, and social sciences. Its applications involve many levels, such as gathering data, summarizing information, and making decisions. It is known that statistics can be present in a myriad of knowledge areas, and such a large association with different sectors makes statistics an essential primary course in many vocational, technical, and university courses.
Statistics plays a key role in the systematic assessment of data present in almost all professions, being considered as a scientific tool that provides support for decision making. In this context, the objective of this chapter is to liaise the statistical knowledge with its quantitative versatility with some distinct areas of activity. It is known that there are several possible applications of statistics, as it is a mathematical science that deals with obtaining, interpreting, and relating data, and then analyzing information that concerns us to make proper decisions.
Let me first briefly introduce you to the content of this chapter. In this chapter, we discuss several key concepts and basic inference methods often encountered in applied statistics analyses. These concepts and methods are key statistical tools that underpin a large part of the subsequent chapters, and therefore should form an important part of the basic toolkit of every tuition student. After all, statistics, arguably more than most other scientific disciplines, is replete with jargon. A statistician can confidently prove any fraud with just five elements – alpha, beta, p-value, power, and normality. There are also several important statistical tools such as adjustments of p-values, confidence intervals, and the likelihood principle that everyone relies on somewhat superficially often without fully appreciating their rationale. In the following chapters, I will touch on these issues by showing you simple tips on how to implement, or perhaps avoid, such tools.
The previous chapter gives a very brief sketch of what statistics encompass. As we have seen, statistics is an essential underpinning for everyone working in modern data analysis. The term “statistics” refers to several related fields. One literal meaning of statistics is the numerical results arrived at when analyzing information collected from a target population – it is nothing more than the arithmetic mean, mode, percentage, and so forth. In fact, we have been practicing statistics in our daily life since we first opened our eyes. If you have been a consumer in any way, you know more about the basics of statistics than many professional practitioners. In reality, statistics involves much more than arithmetic calculations and is a very broad discipline: it encompasses a philosophy, a set of traits, and specific methodological techniques. However, professional statisticians exploit and extend mathematical foundations to develop techniques for advancing areas of knowledge and solving complex problems in a large number of fields, and those complexities are what we aim to address.
Unlike measures of central tendency and dispersion that provide summarized insights on what one is inspecting, correlation is a measure that tries to show a relationship between two or more variables. Statistics essentially tries to provide a relationship between variables, and hence this type of statistical techniques, popularly called measures of association, are mostly used in statistics. Since correlation deals with more than one variable, there are several instances of using correlation in the social sciences. This has led to a general belief that correlation and regression are purely social science terms, a notion that is a bit misleading. This is reinforced by the fact that courses on correlation are offered much more to departments other than statistics. Whenever one is able to show how a change in one variable results in a change in another, and is also able to express this, given the variation of these variables, then one is absolutely using correlation. In essence, it is noted that correlation and regression assume that there is some type of a relationship between a pair of variables. Correlation itself puts the relationship quantitatively. In other words, the strength or power of association is the unique importance of correlation.
Statistics has grown as a discipline. The growing number of professionals having degrees in statistics has led to its expansion in fields previously not considered its own. The application of statistics will depend on how well the discipline keeps up with changes in technology, and cooperation among different areas is becoming increasingly important.
As an example of application to technology, we see the spread of a new field called data science. Data science has been publicized a lot in recent years, and large companies are actively recruiting professionals to improve their data analysis and products. However, data science is a complement to statistics, focusing mainly on the analysis of “big data,” with a preference for the estimation and improvement of predictive models at the expense of a deeper understanding of the data or the phenomenon being analyzed. In fact, to carry out the analyses, many data scientists are specialists in machine learning, an area of artificial intelligence implicated in improving the ability of computer systems to learn from large databases, becoming more autonomous, and completing human tasks.
In terms of software, we also note the great change in the discipline with the popularization of the R programming language and the RStudio software as tools for carrying out statistics. In fact, R is becoming the standard for scientific communication in different areas, not only for the statistical community. We still have other innovations that developers are including as releases of add-ons in the R software system, such as the ability to write documents and technical reports using the bookdown, .Rmd, and rmarkdown packages, generating interactive applications and dashboards with the shiny, echartr, and flexdashboard add-ons, as well as creating data analysis workflows in the tidyverse with dplyr, tidyr, ggplot2, tidymodels, and many other add-ons.
No other statistical system has experienced and produced innovations in recent years to compete with the R software system, and the question remains as to whether R will become the standard for scientific communication, as is now the unfortunate Microsoft Excel software. The idea of the reproducibility of analyses is becoming increasingly important, so we believe that any advancement made and experienced in the world of statistics will start with modules in R.
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