Statistics in the context of Coincidence

In geography, statistics and archaeology, a settlement, locality or populated place is a community of people living in a particular place. The complexity of a settlement can range from a minuscule number of dwellings grouped together to the largest of cities with surrounding urbanized areas. Settlements include homesteads, hamlets, villages, towns and cities. A settlement may have known historical properties such as the date or era in which it was first settled or first settled by particular people. A number of factors like war, erosion, and the fall of great empires can result in the formation of abandoned settlements which provides relics for archaeological studies.

The process of settlement involves human migration.

In statistics, a confidence interval (CI) is a range of values used to estimate an unknown statistical parameter, such as a population mean. Rather than reporting a single point estimate (e.g. "the average screen time is 3 hours per day"), a confidence interval provides a range, such as 2 to 4 hours, along with a specified confidence level, typically 95%.

A 95% confidence level does not imply a 95% probability that the true parameter lies within a particular calculated interval. The confidence level instead reflects the long-run reliability of the method used to generate the interval. In other words, if the same sampling procedure were repeated 100 times from the same population, approximately 95 of the resulting intervals would be expected to contain the true population mean.

Demography (from Ancient Greek δῆμος (dêmos) 'people, society' and -γραφία (-graphía) 'writing, drawing, description') is the statistical study of human populations: their size, composition (e.g., ethnic group, age), and how they change through the interplay of fertility (births), mortality (deaths), and migration.

Demographic analysis examines and measures the dimensions and dynamics of populations; it can cover whole societies or groups defined by criteria such as education, nationality, religion, and ethnicity. Educational institutions usually treat demography as a field of sociology, though there are a number of independent demography departments. These methods have primarily been developed to study human populations, but are extended to a variety of areas where researchers want to know how populations of social actors can change across time through processes of birth, death, and migration. In the context of human biological populations, demographic analysis uses administrative records to develop an independent estimate of the population. Demographic analysis estimates are often considered a reliable standard for judging the accuracy of the census information gathered at any time. In the labor force, demographic analysis is used to estimate sizes and flows of populations of workers; in population ecology the focus is on the birth, death, migration and immigration of individuals in a population of living organisms, alternatively, in social human sciences could involve movement of firms and institutional forms. Demographic analysis is used in a wide variety of contexts. For example, it is often used in business plans, to describe the population connected to the geographic location of the business. Demographic analysis is usually abbreviated as DA. For the 2010 U.S. Census, The U.S. Census Bureau has expanded its DA categories. Also as part of the 2010 U.S. Census, DA now also includes comparative analysis between independent housing estimates, and census address lists at different key time points.

Communication studies (or communication science) is an academic discipline that deals with processes of human communication and behavior, patterns of communication in interpersonal relationships, social interactions and communication in different cultures. Communication is commonly defined as giving, receiving or exchanging ideas, information, signals or messages through appropriate media, enabling individuals or groups to persuade, to seek information, to give information or to express emotions effectively. Communication studies is a social science that uses various methods of empirical investigation and critical analysis to develop a body of knowledge that encompasses a range of topics, from face-to-face conversation at a level of individual agency and interaction to social and cultural communication systems at a macro level.

Scholarly communication theorists focus primarily on refining the theoretical understanding of communication, examining statistics in order to help substantiate claims. The range of social scientific methods to study communication has been expanding. Communication researchers draw upon a variety of qualitative and quantitative techniques. The linguistic and cultural turns of the mid-20th century led to increasingly interpretative, hermeneutic, and philosophic approaches towards the analysis of communication. Conversely, the end of the 1990s and the beginning of the 2000s have seen the rise of new analytically, mathematically, and computationally focused techniques.

Formal epistemology uses formal methods from decision theory, logic, probability theory and computability theory to model and reason about issues of epistemological interest. Work in this area spans several academic fields, including philosophy, computer science, economics, and statistics. The focus of formal epistemology has tended to differ somewhat from that of traditional epistemology, with topics like uncertainty, induction, and belief revision garnering more attention than the analysis of knowledge, skepticism, and issues with justification. Formal epistemology extenuates into formal language theory.

Data journalism or data-driven journalism (DDJ) is journalism based on the filtering and analysis of large data sets for the purpose of creating or elevating a news story.

Data journalism reflects the increased role of numerical data in the production and distribution of information in the digital era. It involves a blending of journalism with other fields such as data visualization, computer science, and statistics, "an overlapping set of competencies drawn from disparate fields".

David Émile Durkheim (/ˈdɜːrkhaɪm/; French: [emil dyʁkɛm] or [dyʁkajm]; 15 April 1858 – 15 November 1917) was a French sociologist. Durkheim formally established the academic discipline of sociology and is commonly cited as one of the principal architects of modern social science, along with both Karl Marx and Max Weber.

Much of Durkheim's work concerns the inability of societies to maintain their integrity and coherence in modernity, an era in which traditional social and religious ties are much less universal, and in which new social institutions have come into being. Durkheim's conception of the scientific study of society laid the groundwork for modern sociology, and he used such scientific tools as statistics, surveys, and historical observation in his analysis of suicides in Roman Catholic and Protestant groups.

Gottfried Wilhelm Leibniz (or Leibnitz; 1 July 1646 [O.S. 21 June] – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Isaac Newton, with the creation of calculus in addition to many other branches of mathematics, such as binary arithmetic and statistics. Leibniz has been called the "last universal genius" due to his vast expertise across fields, which became a rarity after his lifetime with the coming of the Industrial Revolution and the spread of specialized labour. He is a prominent figure in both the history of philosophy and the history of mathematics. He wrote works on philosophy, theology, ethics, politics, law, history, philology, games, music, and other studies. Leibniz also made major contributions to physics and technology, and anticipated notions that surfaced much later in probability theory, biology, medicine, geology, psychology, linguistics and computer science.

Leibniz contributed to the field of library science, developing a cataloguing system (at the Herzog August Library in Wolfenbüttel, Germany) that came to serve as a model for many of Europe's largest libraries. His contributions to a wide range of subjects were scattered in various learned journals, in tens of thousands of letters and in unpublished manuscripts. He wrote in several languages, primarily in Latin, French and German.

Formal science is a branch of science studying disciplines concerned with abstract structures described by formal systems, such as logic, mathematics, statistics, theoretical computer science, artificial intelligence, information theory, game theory, systems theory, decision theory and theoretical linguistics. Whereas the natural sciences and social sciences seek to characterize physical systems and social systems, respectively, using theoretical and empirical methods, the formal sciences use language tools concerned with characterizing abstract structures described by formal systems and the deductions that can be made from them. The formal sciences aid the natural and social sciences by providing information about the structures used to describe the physical world, and what inferences may be made about them.

Applied science is the application of the scientific method and scientific knowledge to attain practical goals. It includes a broad range of disciplines, such as engineering and medicine. Applied science is often contrasted with basic science, which is focused on advancing scientific theories and laws that explain and predict natural or other phenomena.

There are applied natural sciences, as well as applied formal and social sciences. Applied science examples include genetic epidemiology which applies statistics and probability theory, and applied psychology, including criminology.

Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes. Two events are independent, statistically independent, or stochastically independent if, informally speaking, the occurrence of one does not affect the probability of occurrence of the other or, equivalently, does not affect the odds. Similarly, two random variables are independent if the realization of one does not affect the probability distribution of the other.

When dealing with collections of more than two events, two notions of independence need to be distinguished. The events are called pairwise independent if any two events in the collection are independent of each other, while mutual independence (or collective independence) of events means, informally speaking, that each event is independent of any combination of other events in the collection. A similar notion exists for collections of random variables. Mutual independence implies pairwise independence, but not the other way around. In the standard literature of probability theory, statistics, and stochastic processes, independence without further qualification usually refers to mutual independence.

The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter ζ (zeta), is a mathematical function of a complex variable defined as $${\displaystyle \zeta (s)=\sum _{n=1}^{\infty }{\frac {1}{n^{s}}}={\frac {1}{1^{s}}}+{\frac {1}{2^{s}}}+{\frac {1}{3^{s}}}+\cdots }$$ for Re(s) > 1, and its analytic continuation elsewhere.

The Riemann zeta function plays a pivotal role in analytic number theory and has applications in physics, probability theory, and applied statistics.

The West Midlands is one of nine official regions of England at the first level of International Territorial Level for statistical purposes. It covers the western half of the area known traditionally as the Midlands. The region consists of the counties of Herefordshire, Shropshire, Staffordshire, Warwickshire, West Midlands and Worcestershire. The region has seven cities: Birmingham, Coventry, Hereford, Lichfield, Stoke-on-Trent, Wolverhampton and Worcester.

The West Midlands region is geographically diverse, from the urban central areas of the West Midlands conurbation to the rural counties of Herefordshire, Shropshire which border Wales, and Worcestershire. The region is landlocked; however, the longest river in the UK, the River Severn, traverses the region south-eastwards, flowing through the county towns of Shrewsbury and Worcester, and the Ironbridge Gorge, a UNESCO World Heritage Site. Staffordshire is home to the industrialised Potteries conurbation, including the city of Stoke-on-Trent and the Staffordshire Moorlands area, which borders the south-eastern Peak District National Park near Leek. The region also encompasses five Areas of Outstanding Natural Beauty: the Wye Valley, Shropshire Hills, Cannock Chase, Malvern Hills and parts of the Cotswolds. Warwickshire is home to the towns of Stratford upon Avon, birthplace of writer William Shakespeare; Rugby, the birthplace of Rugby football; and Nuneaton, birthplace to author George Eliot.

Official statistics are statistics published by government agencies or other public bodies such as international organizations as a public good. They provide quantitative or qualitative information on all major areas of citizens' lives, such as economic and social development, living conditions, health, education, and the environment.

During the 15th and 16th centuries, statistics were a method for counting and listing populations and State resources. The term statistics comes from the Neo-Latin statisticum collegium (council of state) and refers to science of the state. According to the Organisation for Economic Co-operation and Development (OECD), official statistics are statistics disseminated by the national statistical system, excepting those that are explicitly not to be official".

In statistics, a population is a set of similar items or events which is of interest for some question or experiment. A statistical population can be a group of existing objects (e.g. the set of all stars within the Milky Way galaxy) or a hypothetical and potentially infinite group of objects conceived as a generalization from experience (e.g. the set of all possible hands in a game of poker). A population with finitely many values ${\displaystyle N}$ in the support of the population distribution is a finite population with population size ${\displaystyle N}$. A population with infinitely many values in the support is called infinite population.

A common aim of statistical analysis is to produce information about some chosen population.In statistical inference, a subset of the population (a statistical sample) is chosen to represent the population in a statistical analysis. Moreover, the statistical sample must be unbiased and accurately model the population. The ratio of the size of this statistical sample to the size of the population is called a sampling fraction. It is then possible to estimate the population parameters using the appropriate sample statistics.

In statistics, as opposed to its general use in mathematics, a parameter is any quantity of a statistical population that summarizes or describes an aspect of the population, such as a mean or a standard deviation. If a population exactly follows a known and defined distribution, for example the normal distribution, then a small set of parameters can be measured which provide a comprehensive description of the population and can be considered to define a probability distribution for the purposes of extracting samples from this population.

A "parameter" is to a population as a "statistic" is to a sample; that is to say, a parameter describes the true value calculated from the full population (such as the population mean), whereas a statistic is an estimated measurement of the parameter based on a sample (such as the sample mean, which is the mean of gathered data per sampling, called sample). Thus a "statistical parameter" can be more specifically referred to as a population parameter.