Statistics in the context of "Probability"

⭐ In the context of probability, statistics utilizes numerical values to represent the likelihood of events. What range defines these values?

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⭐ Core Definition: Statistics

Statistics (from German: Statistik, orig. "description of a state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied. Populations can be diverse groups of people or objects such as "all people living in a country" or "every atom composing a crystal". Statistics deals with every aspect of data, including the planning of data collection in terms of the design of surveys and experiments.

When census data (comprising every member of the target population) 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. An experimental study involves taking measurements of the system under study, manipulating the system, and then taking additional measurements using the same procedure to determine if the manipulation has modified the values of the measurements. In contrast, an observational study does not involve experimental manipulation.

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Statistics in the context of Human settlement

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.

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Statistics in the context of Confidence interval

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.

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Statistics in the context of Demography

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.

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Statistics in the context of Communication studies

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.

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Statistics in the context of Formal epistemology

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.

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Statistics in the context of Data journalism

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".

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Statistics in the context of Émile Durkheim

David Émile Durkheim (/ˈdɜːrkhm/; 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.

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