Puerto Ferro is a barrio in the municipality of Vieques, Puerto Rico . Its population in 2010 was 705.
121-724: Puerto Ferro was in Spain's gazetteers until Puerto Rico was ceded by Spain in the aftermath of the Spanish–American War under the terms of the Treaty of Paris of 1898 and became an unincorporated territory of the United States . In 1899, the United States Department of War conducted a census of Puerto Rico finding that the combined population of Puerto Ferro, Punta Arenas , and Puerto Diablo barrios
242-469: A population , for example by testing hypotheses and deriving estimates. It is assumed that the observed data set is sampled from a larger population. Inferential statistics can be contrasted with descriptive statistics . Descriptive statistics is solely concerned with properties of the observed data, and it does not rest on the assumption that the data come from a larger population. Consider independent identically distributed (IID) random variables with
363-463: A central government mandate. Historian Peter K. Bol states that local gazetteers composed in this manner were the result of increased domestic and international trade that facilitated greater local wealth throughout China. Historian R. H. Britnell writes of gazetteers in Ming China, "by the sixteenth century, for a county or monastery not to have a gazetteer was regarded as evidence that
484-411: 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 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
605-418: A decade earlier in 1795. The modern field of statistics emerged in the late 19th and early 20th century in three stages. The first wave, at the turn of the century, was led by the work of Francis Galton and Karl Pearson , who transformed statistics into a rigorous mathematical discipline used for analysis, not just in science, but in industry and politics as well. Galton's contributions included introducing
726-596: A dictionary on ancient sites of the Assyrians , Persians , Greeks , and Romans with their modern equivalent names, and a work published in Paris in 1651 that was both the first universal and vernacular geographical dictionary of Europe. With the gradual expansion of Laurence Echard 's (d. 1730) gazetteer of 1693, it too became a universal geographical dictionary that was translated into Spanish in 1750, into French in 1809, and into Italian in 1810. Following
847-666: A duplicate of their records were sent to the central government offices of the Exchequer . To supplement his "new large Map of England" from 1677, the English cartographer John Adams compiled the extensive gazetteer "Index Villaris" in 1680 that had some 24,000 places listed with geographical coordinates coinciding with the map. The "Geographical Dictionary" of Edmund Bohun was published in London in 1688, comprising 806 pages with some 8,500 entries. In his work, Edmund Bohun attributed
968-696: A gazetteer ( Nainsi ri Khyat and Marwar rai Pargana ri Vigat) for the Marwar region in the 17th century. B. S. Baliga writes that the history of the gazetteer in Tamil Nadu can be traced back to the classical corpus of Sangam literature , dated 200 BC to 300 AD. Abu'l-Fazl ibn Mubarak , the vizier to Akbar the Great of the Mughal Empire , wrote the Ain-e-Akbari , which included
1089-459: A gazetteer with valuable information on India's population in the 16th century. The pre-modern Islamic world produced gazetteers. Cartographers of the Safavid dynasty of Iran made gazetteers of local areas. [REDACTED] Media related to Gazetteers at Wikimedia Commons Statistics Statistics (from German : Statistik , orig. "description of a state , a country" )
1210-490: A geographical dictionary (which currently has missing parts) in the sixth century which influenced later European compilers. Modern gazetteers can be found in reference sections of most libraries as well as on the internet. The Oxford English Dictionary defines a "gazetteer" as a "geographical index or dictionary". It includes as an example a work by the British historian Laurence Echard (d. 1730) in 1693 that bore
1331-458: A given probability distribution : standard statistical inference and estimation theory defines a random sample as the random vector given by the column vector of these IID variables. The population being examined is described by a probability distribution that may have unknown parameters. A statistic is a random variable that is a function of the random sample, but not a function of unknown parameters . The probability distribution of
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#17327729103201452-484: A given probability of containing the true value is to use a credible interval from Bayesian statistics : this approach depends on a different way of interpreting what is meant by "probability" , that is as a Bayesian probability . In principle confidence intervals can be symmetrical or asymmetrical. An interval can be asymmetrical because it works as lower or upper bound for a parameter (left-sided interval or right sided interval), but it can also be asymmetrical because
1573-471: A given situation and carry the computation, several methods have been proposed: the method of moments , the maximum likelihood method, the least squares method and the more recent method of estimating equations . Interpretation of statistical information can often involve the development of a null hypothesis which is usually (but not necessarily) that no relationship exists among variables or that no change occurred over time. The best illustration for
1694-1075: A letter to the CCP Propaganda Department on May 1, 1979, which urged for the revival of difangzhi . This proposal was sponsored by Hu Yaobang in June 1979 while Hu Qiaomu of the CCP Politburo lent his support for the idea in April 1980. The first issue of a modern national journal of difangzhi was issued by January 1981. In Korea , scholars based their gazetteers largely on the Chinese model. Like Chinese gazetteers, there were national, provincial, and local prefecture Korean gazetteers which featured geographic information, demographic data, locations of bridges, schools, temples, tombs, fortresses, pavilions, and other landmarks, cultural customs, local products, resident clan names, and short biographies on well-known people. In an example of
1815-653: A list of place-names together with their locations in latitude and longitude or other spatial referencing systems (e.g., British National Grid reference). Short-form gazetteers appear as a place–name index in the rear of major published atlases. Descriptive gazetteers may include lengthy textual descriptions of the places they contain, including explanation of industries , government , geography , together with historical perspectives, maps and/or photographs. Thematic gazetteers list places or geographical features by theme; for example fishing ports, nuclear power stations, or historic buildings. Their common element
1936-555: A mathematical discipline only took shape at the very end of the 17th century, particularly in Jacob Bernoulli 's posthumous work Ars Conjectandi . This was the first book where the realm of games of chance and the realm of the probable (which concerned opinion, evidence, and argument) were combined and submitted to mathematical analysis. The method of least squares was first described by Adrien-Marie Legendre in 1805, though Carl Friedrich Gauss presumably made use of it
2057-1033: A meaningful order to those values, and permit any order-preserving transformation. Interval measurements have meaningful distances between measurements defined, but the zero value is arbitrary (as in the case with longitude and temperature measurements in Celsius or Fahrenheit ), and permit any linear transformation. Ratio measurements have both a meaningful zero value and the distances between different measurements defined, and permit any rescaling transformation. Because variables conforming only to nominal or ordinal measurements cannot be reasonably measured numerically, sometimes they are grouped together as categorical variables , whereas ratio and interval measurements are grouped together as quantitative variables , which can be either discrete or continuous , due to their numerical nature. Such distinctions can often be loosely correlated with data type in computer science, in that dichotomous categorical variables may be represented with
2178-499: A novice is the predicament encountered by a criminal trial. The null hypothesis, H 0 , asserts that the defendant is innocent, whereas the alternative hypothesis, H 1 , asserts that the defendant is guilty. The indictment comes because of suspicion of the guilt. The H 0 (status quo) stands in opposition to H 1 and is maintained unless H 1 is supported by evidence "beyond a reasonable doubt". However, "failure to reject H 0 " in this case does not imply innocence, but merely that
2299-404: A population, so results do not fully represent the whole population. Any estimates obtained from the sample only approximate the population value. Confidence intervals allow statisticians to express how closely the sample estimate matches the true value in the whole population. Often they are expressed as 95% confidence intervals. Formally, a 95% confidence interval for a value is a range where, if
2420-412: A problem, it is common practice to start with a population or process to be studied. Populations can be diverse topics, such as "all people living in a country" or "every atom composing a crystal". Ideally, statisticians compile data about the entire population (an operation called a census ). This may be organized by governmental statistical institutes. Descriptive statistics can be used to summarize
2541-497: A sample using indexes such as the mean or standard deviation , and inferential statistics , which draw conclusions from data that are subject to random variation (e.g., observational errors, sampling variation). Descriptive statistics are most often concerned with two sets of properties of a distribution (sample or population): central tendency (or location ) seeks to characterize the distribution's central or typical value, while dispersion (or variability ) characterizes
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#17327729103202662-498: A small description for 369 different foreign countries known to Joseon Korea in the 15th century. In Japan , there were also local gazetteers in pre-modern times, called fudoki . Japanese gazetteers preserved historical and legendary accounts of various regions. For example, the Nara-period (710–794) provincial gazetteer Harima no kuni fūdoki of Harima Province provides a story of an alleged visit by Emperor Ōjin in
2783-519: A specific focus, such as the gazetteer of the Swedish atlas "Das Bästas Bilbok" (1969), a road atlas and guide for Sweden , Norway , Finland , and Denmark . In Han dynasty (202 BC – 220 AD) China , the Yuejue Shu (越絕書) written in 52 AD is considered by modern sinologists and historians to be the prototype of the gazetteer ( Chinese : difangzhi ), as it contained essays on
2904-465: A statistician would use a modified, more structured estimation method (e.g., difference in differences estimation and instrumental variables , among many others) that produce consistent estimators . The basic steps of a statistical experiment are: Experiments on human behavior have special concerns. The famous Hawthorne study examined changes to the working environment at the Hawthorne plant of
3025-489: A team of cartographers and scholars in 971 to initiate the compilation of a huge atlas and nationwide gazetteer that covered the whole of China proper , which comprised approximately 1,200 counties and 300 prefectures . This project was completed in 1010 by a team of scholars under Song Zhun, who presented it in 1,566 chapters to the throne of Emperor Zhenzong . This Sui dynasty process of infrequently collecting tujing or "map guides" continued, but it would be enhanced by
3146-637: A test and confidence intervals . Jerzy Neyman in 1934 showed that stratified random sampling was in general a better method of estimation than purposive (quota) sampling. Today, statistical methods are applied in all fields that involve decision making, for making accurate inferences from a collated body of data and for making decisions in the face of uncertainty based on statistical methodology. The use of modern computers has expedited large-scale statistical computations and has also made possible new methods that are impractical to perform manually. Statistics continues to be an area of active research, for example on
3267-399: A transformation is sensible to contemplate depends on the question one is trying to answer." A descriptive statistic (in the count noun sense) is a summary statistic that quantitatively describes or summarizes features of a collection of information , while descriptive statistics in the mass noun sense is the process of using and analyzing those statistics. Descriptive statistics
3388-419: A value accurately rejecting the null hypothesis (sometimes referred to as the p-value ). The standard approach is to test a null hypothesis against an alternative hypothesis. A critical region is the set of values of the estimator that leads to refuting the null hypothesis. The probability of type I error is therefore the probability that the estimator belongs to the critical region given that null hypothesis
3509-450: 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. Two main statistical methods are used in data analysis : descriptive statistics , which summarize data from
3630-529: A wide variety of subjects including changes in territorial division, the founding of cities, local products, and customs. However, the first gazetteer proper is considered to be the Chronicles of Huayang by Chang Qu 常璩. There are over 8,000 gazetteers of pre-modern China that have survived. Gazetteers became more common in the Song dynasty (960–1279), yet the bulk of surviving gazetteers were written during
3751-498: Is a stub . You can help Misplaced Pages by expanding it . Gazetteer A gazetteer is a geographical dictionary or directory used in conjunction with a map or atlas . It typically contains information concerning the geographical makeup, social statistics and physical features of a country, region, or continent. Content of a gazetteer can include a subject's location, dimensions of peaks and waterways, population , gross domestic product and literacy rate. This information
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3872-575: Is another type of observational study in which people with and without the outcome of interest (e.g. lung cancer) are invited to participate and their exposure histories are collected. Various attempts have been made to produce a taxonomy of levels of measurement . The psychophysicist Stanley Smith Stevens defined nominal, ordinal, interval, and ratio scales. Nominal measurements do not have meaningful rank order among values, and permit any one-to-one (injective) transformation. Ordinal measurements have imprecise differences between consecutive values, but have
3993-465: Is appropriate to apply different kinds of statistical methods to data obtained from different kinds of measurement procedures is complicated by issues concerning the transformation of variables and the precise interpretation of research questions. "The relationship between the data and what they describe merely reflects the fact that certain kinds of statistical statements may have truth values which are not invariant under some transformations. Whether or not
4114-834: Is called error term, disturbance or more simply noise. Both linear regression and non-linear regression are addressed in polynomial least squares , which also describes the variance in a prediction of the dependent variable (y axis) as a function of the independent variable (x axis) and the deviations (errors, noise, disturbances) from the estimated (fitted) curve. Measurement processes that generate statistical data are also subject to error. Many of these errors are classified as random (noise) or systematic ( bias ), but other types of errors (e.g., blunder, such as when an analyst reports incorrect units) can also be important. The presence of missing data or censoring may result in biased estimates and specific techniques have been developed to address these problems. Most studies only sample part of
4235-428: Is distinguished from inferential statistics (or inductive statistics), in that descriptive statistics aims to summarize a sample , rather than use the data to learn about the population that the sample of data is thought to represent. Statistical inference is the process of using data analysis to deduce properties of an underlying probability distribution . Inferential statistical analysis infers properties of
4356-637: Is generally divided into topics with entries listed in alphabetical order. Ancient Greek gazetteers are known to have existed since the Hellenistic era. The first known Chinese gazetteer was released by the first century, and with the age of print media in China by the ninth century , the Chinese gentry became invested in producing gazetteers for their local areas as a source of information as well as local pride. The geographer Stephanus of Byzantium wrote
4477-418: Is one that explores the association between smoking and lung cancer. This type of study typically uses a survey to collect observations about the area of interest and then performs statistical analysis. In this case, the researchers would collect observations of both smokers and non-smokers, perhaps through a cohort study , and then look for the number of cases of lung cancer in each group. A case-control study
4598-451: Is proposed for the statistical relationship between the two data sets, an alternative to an idealized null hypothesis of no relationship between two data sets. Rejecting or disproving the null hypothesis is done using statistical tests that quantify the sense in which the null can be proven false, given the data that are used in the test. Working from a null hypothesis, two basic forms of error are recognized: Type I errors (null hypothesis
4719-408: Is rejected when it is in fact true, giving a "false positive") and Type II errors (null hypothesis fails to be rejected when it is in fact false, giving a "false negative"). Multiple problems have come to be associated with this framework, ranging from obtaining a sufficient sample size to specifying an adequate null hypothesis. Statistical measurement processes are also prone to error in regards to
4840-578: Is that the geographical location is an important attribute of the features listed. Gazetteer editors gather facts and other information from official government reports, the census , chambers of commerce , together with numerous other sources, and organise these in digest form. In his journal article "Alexander and the Ganges" (1923), the 20th-century historian W.W. Tarn calls a list and description of satrapies of Alexander's Empire written between 324 and 323 BC as an ancient gazetteer. Tarn notes that
4961-408: 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
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5082-402: Is true ( statistical significance ) and the probability of type II error is the probability that the estimator does not belong to the critical region given that the alternative hypothesis is true. The statistical power of a test is the probability that it correctly rejects the null hypothesis when the null hypothesis is false. Referring to statistical significance does not necessarily mean that
5203-449: Is widely employed in government, business, and natural and social sciences. The mathematical foundations of statistics developed from discussions concerning games of chance among mathematicians such as Gerolamo Cardano , Blaise Pascal , Pierre de Fermat , and Christiaan Huygens . Although the idea of probability was already examined in ancient and medieval law and philosophy (such as the work of Juan Caramuel ), probability theory as
5324-560: The American Revolutionary War , United States clergyman and historian Jeremy Belknap and Postmaster General Ebenezer Hazard intended to create the first post-revolutionary geographical works and gazetteers, but they were anticipated by the clergyman and geographer Jedidiah Morse with his Geography Made Easy in 1784. However, Morse was unable to finish the gazetteer in time for his 1784 geography and postponed it. Yet his delay to publish it lasted too long, as it
5445-765: The Boolean data type , polytomous categorical variables with arbitrarily assigned integers in the integral data type , and continuous variables with the real data type involving floating-point arithmetic . But the mapping of computer science data types to statistical data types depends on which categorization of the latter is being implemented. Other categorizations have been proposed. For example, Mosteller and Tukey (1977) distinguished grades, ranks, counted fractions, counts, amounts, and balances. Nelder (1990) described continuous counts, continuous ratios, count ratios, and categorical modes of data. (See also: Chrisman (1998), van den Berg (1991). ) The issue of whether or not it
5566-567: The Deng era to replace the people's communes with traditional townships . The difangzhi effort under Mao yielded little results (only 10 of the 250 designated counties ended up publishing a gazetteer), while the writing of difangzhi was interrupted during the Cultural Revolution (1966–1976), trumped by the village and family histories which were more appropriate for the theme of class struggle . A Li Baiyu of Shanxi forwarded
5687-620: The Ming dynasty (1368–1644) and Qing dynasty (1644–1912). Modern scholar Liu Weiyi notes that just under 400 gazetteers were compiled in the era between the fall of the Han dynasty in 220 and the Tang dynasty (618–907). Gazetteers from this era focused on boundaries and territory, place names, mountains and rivers, ancient sites, local products, local myths and legends , customs, botany , topography , and locations of palaces, streets, temples, etc. By
5808-450: The Sui dynasty (581–618) united a politically divided China, Emperor Yang of Sui had all the empire's commanderies prepare gazetteers called ' maps and treatises ' (Chinese: tujing ) so that a vast amount of updated textual and visual information on local roads, rivers, canals, and landmarks could be utilized by the central government to maintain control and provide better security. Although
5929-487: The Western Electric Company . The researchers were interested in determining whether increased illumination would increase the productivity of the assembly line workers. The researchers first measured the productivity in the plant, then modified the illumination in an area of the plant and checked if the changes in illumination affected productivity. It turned out that productivity indeed improved (under
6050-537: The earliest extant Chinese maps date to the 4th century BC, and tujing since the Qin (221–206 BC) or Han dynasties, this was the first known instance in China when the textual information of tujing became the primary element over the drawn illustrations. This Sui dynasty process of providing maps and visual aids in written gazetteers—as well as the submitting of gazetteers with illustrative maps by local administrations to
6171-415: The fangzhi and the tujing was that the former was a product of "local initiative, not a central command" according to Peter K. Bol, and were usually ten, twenty, or even fifty chapters in length compared to the average four chapters for map guides. Furthermore, the fangzhi were almost always printed because they were intended for a large reading audience, whereas tujing were exclusive records read by
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#17327729103206292-546: The forecasting , prediction , and estimation of unobserved values either in or associated with the population being studied. It can include extrapolation and interpolation of time series or spatial data , as well as data mining . Mathematical statistics is the application of mathematics to statistics. Mathematical techniques used for this include mathematical analysis , linear algebra , stochastic analysis , differential equations , and measure-theoretic probability theory . Formal discussions on inference date back to
6413-432: The limit to the true value of such parameter. Other desirable properties for estimators include: UMVUE estimators that have the lowest variance for all possible values of the parameter to be estimated (this is usually an easier property to verify than efficiency) and consistent estimators which converges in probability to the true value of such parameter. This still leaves the question of how to obtain estimators in
6534-719: The mathematicians and cryptographers of the Islamic Golden Age between the 8th and 13th centuries. Al-Khalil (717–786) wrote the Book of Cryptographic Messages , which contains one of the first uses of permutations and combinations , to list all possible Arabic words with and without vowels. Al-Kindi 's Manuscript on Deciphering Cryptographic Messages gave a detailed description of how to use frequency analysis to decipher encrypted messages, providing an early example of statistical inference for decoding . Ibn Adlan (1187–1268) later made an important contribution on
6655-507: The woodblock print illustrations of Miao peoples in the Guizhou gazeteer, stating "the 1692 version of the Kangxi era gazetteer show a refinement in the quality of the illustrations by comparison to 1673". Historian Timothy Brook states that Ming dynasty gazetteers demonstrate a shift in the attitudes of Chinese gentry towards the traditionally lower merchant class . As time went on,
6776-604: The "Daqing Yitongzhi" ('Gazetteer of the Qing Empire'). This was provided with a preface in 1744 (more than a decade after Jiang's death), revised in 1764, and reprinted in 1849. The Italian Jesuit Matteo Ricci created the first comprehensive world map in the Chinese language in the early 17th century, while comprehensive world gazetteers were later translated into Chinese by Europeans. The Christian missionary William Muirhead (1822–1900), who lived in Shanghai during
6897-635: The "Sinch'an p'aldo" ('Newly Compiled Geographic Treatise on the Eight Circuits'). With additional material and correction of mistakes, the title of this gazetteer was revised in 1454 as the "Sejong Sillok chiriji" ('King Sejong's Treatise on Geography'), updated in 1531 under the title "Sinjŭng tongguk yŏji sŭngnam" ('Augmented Survey of the Geography of Korea'), and enlarged in 1612. The Joseon Koreans also created international gazetteers. The "Yojisongnam" gazetteer compiled from 1451 to 1500 provides
7018-697: The "Yuehaiguanzhi" ('Gazetteer of the Maritime Customs of Guangdong') published in 1839 (reprinted in 1935). The Chinese language gazetteer Haiguo Tuzhi ('Illustrated Gazetteer of the Sea Kingdoms') by Wei Yuan in 1844 (with material influenced by the "Sizhou zhi" of Lin Zexu ) was printed in Japan two decades later 1854. This work was popular in Japan not for its geographical knowledge, but for its analysis of potential defensive military strategy in
7139-558: The "very eminent person" written of by Echard was his colleague Edmund Bohun , and chose not to mention Bohun because he became associated with the Jacobite movement . Since the 18th century, the word "gazetteer" has been used interchangeably to define either its traditional meaning (i.e., a geographical dictionary or directory) or a daily newspaper , such as the London Gazetteer . Gazetteers are often categorized by
7260-488: The 2nd century AD provided gazetteer information on geographical terms. Perhaps predating Greek gazetteers were those made in ancient Egypt . Although she does not specifically label the document as a gazetteer, Penelope Wilson (Department of Archaeology, Durham University ) describes an ancient Egyptian papyrus found at the site of Tanis, Egypt (a city founded during the Twentieth dynasty of Egypt ), which provides
7381-547: The 3rd century while on an imperial hunting expedition. Local Japanese gazetteers could also be found in later periods such as the Edo period . Gazetteers were often composed by the request of wealthy patrons; for example, six scholars in the service of the daimyō of the Ikeda household published the Biyō kokushi gazetteer for several counties in 1737. World gazetteers were written by
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#17327729103207502-532: The 480s BC), saying "they did not write connected accounts but instead broke them up according to peoples and cities, treating each separately". Historian Truesdell S. Brown asserts that what Dionysius describes in this quote about the logographers should be categorized not as a true "history" but rather as a gazetteer. While discussing the Greek conception of the river delta in ancient Greek literature, Francis Celoria notes that both Ptolemy and Pausanias of
7623-544: The Empire of Great Britaine published in 1611 provided gazetteers for counties throughout England, which included illustrative maps, short local histories, a list of administrative hundreds, an index of parishes , and the coordinates of longitude and latitude for county towns. Starting in 1662, the Hearth Tax Returns with attached maps of local areas were compiled by individual parishes throughout England while
7744-741: The Italian printer Aldus Manutius in his work of 1502. The Italian monk Phillippus Ferrarius (d. 1626) published his geographical dictionary "Epitome Geographicus in Quattuor Libros Divisum" in the Swiss city of Zürich in 1605. He divided this work into overhead topics of cities, rivers, mountains, and lakes and swamps. All placenames, given in Latin , were arranged in alphabetical order for each overhead division by geographic type;. A year after his death, his "Lexicon Geographicum"
7865-805: The Japanese in the 19th century, such as the Kon'yo zushiki ("Annotated Maps of the World") published by Mitsukuri Shōgo in 1845, the Hakkō tsūshi ("Comprehensive Gazetteer of the Entire World") by Mitsukuri Genpo in 1856, and the Bankoku zushi ("Illustrated Gazetteer of the Nations of the World"), which was written by an Englishman named Colton, translated by Sawa Ginjirō, and printed by Tezuka Ritsu in 1862. Despite
7986-793: The Tang dynasty the gazetteer became much more geographically specific, with a broad amount of content arranged topically; for example, there would be individual sections devoted to local astronomy, schools, dikes, canals, post stations, altars, local deities, temples, tombs, etc. By the Song dynasty it became more common for gazetteers to provide biographies of local celebrities, accounts of elite local families, bibliographies, and literary anthologies of poems and essays dedicated to famous local spots. Song gazetteers also made lists and descriptions of city walls, gate names, wards and markets, districts, population size, and residences of former prefects . In 610 after
8107-466: The ambitious title, the work by Genpo only covered Yōroppa bu ("Section on Europe") while the planned section for Asia was not published. In 1979 the 50 volume gazeteer Nihon rekishi chimei taikei ("Japanese Historical Place Names") series was launched and it is currently also available online with "200,000 headings with detailed explanations of [each] place name". In pre-modern India , local gazetteers were written. For example, Muhnot Nainsi wrote
8228-448: The central government—was continued in every subsequent Chinese dynasty . Historian James M. Hargett states that by the time of the Song dynasty, gazetteers became far more geared towards serving the current political, administrative, and military concerns than in gazetteers of previous eras, while there were many more gazetteers compiled on the local and national levels than in previous eras. Emperor Taizu of Song ordered Lu Duosun and
8349-439: The collection, analysis, interpretation or explanation, and presentation of data , or as a branch of mathematics . Some consider statistics to be a distinct mathematical science rather than a branch of mathematics. While many scientific investigations make use of data, statistics is generally concerned with the use of data in the context of uncertainty and decision-making in the face of uncertainty. In applying statistics to
8470-540: The concepts of standard deviation , correlation , regression analysis and the application of these methods to the study of the variety of human characteristics—height, weight and eyelash length among others. Pearson developed the Pearson product-moment correlation coefficient , defined as a product-moment, the method of moments for the fitting of distributions to samples and the Pearson distribution , among many other things. Galton and Pearson founded Biometrika as
8591-542: The concepts of sufficiency , ancillary statistics , Fisher's linear discriminator and Fisher information . He also coined the term null hypothesis during the Lady tasting tea experiment, which "is never proved or established, but is possibly disproved, in the course of experimentation". In his 1930 book The Genetical Theory of Natural Selection , he applied statistics to various biological concepts such as Fisher's principle (which A. W. F. Edwards called "probably
8712-425: The data that they generate. Many of these errors are classified as random (noise) or systematic ( bias ), but other types of errors (e.g., blunder, such as when an analyst reports incorrect units) can also occur. The presence of missing data or censoring may result in biased estimates and specific techniques have been developed to address these problems. Statistics is a mathematical body of science that pertains to
8833-764: The direct result of castle construction and expansion. In 1316 the Nomina Villarum survey was initiated by Edward II of England ; it was essentially a list of all the administrative subdivisions throughout England which could be utilized by the state in order to assess how much military troops could be conscripted and summoned from each region. The Speculum Britanniae (1596) of the Tudor era English cartographer and topographer John Norden (1548–1625) had an alphabetical list of places throughout England with headings showing their administrative hundreds and referenced to attached maps. Englishman John Speed 's Theatre of
8954-439: The document is dated no later than June 323 BC, since it features Babylon as not yet partitioned by Alexander's generals. It was revised by the Greek historian Diodorus Siculus in the 1st century BC. In the 1st century BC, Dionysius of Halicarnassus mentioned the chronicle -type format of the writing of the logographers in the age before the founder of the Greek historiographic tradition, Herodotus (i.e., before
9075-406: The effect of differences of an independent variable (or variables) on the behavior of the dependent variable are observed. The difference between the two types lies in how the study is actually conducted. Each can be very effective. An experimental study involves taking measurements of the system under study, manipulating the system, and then taking additional measurements with different levels using
9196-495: The evidence was insufficient to convict. So the jury does not necessarily accept H 0 but fails to reject H 0 . While one can not "prove" a null hypothesis, one can test how close it is to being true with a power test , which tests for type II errors . What statisticians call an alternative hypothesis is simply a hypothesis that contradicts the null hypothesis. Working from a null hypothesis , two broad categories of error are recognized: Standard deviation refers to
9317-478: The expected value assumes on a given sample (also called prediction). Mean squared error is used for obtaining efficient estimators , a widely used class of estimators. Root mean square error is simply the square root of mean squared error. Many statistical methods seek to minimize the residual sum of squares , and these are called " methods of least squares " in contrast to Least absolute deviations . The latter gives equal weight to small and big errors, while
9438-474: The experimental conditions). However, the study is heavily criticized today for errors in experimental procedures, specifically for the lack of a control group and blindness . The Hawthorne effect refers to finding that an outcome (in this case, worker productivity) changed due to observation itself. Those in the Hawthorne study became more productive not because the lighting was changed but because they were being observed. An example of an observational study
9559-402: The extent to which individual observations in a sample differ from a central value, such as the sample or population mean, while Standard error refers to an estimate of difference between sample mean and population mean. A statistical error is the amount by which an observation differs from its expected value . A residual is the amount an observation differs from the value the estimator of
9680-450: The extent to which members of the distribution depart from its center and each other. Inferences made using mathematical statistics employ the framework of probability theory , which deals with the analysis of random phenomena. A standard statistical procedure involves the collection of data leading to a test of the relationship between two statistical data sets, or a data set and synthetic data drawn from an idealized model. A hypothesis
9801-574: The face of European imperialism and the Qing's recent defeat in the First Opium War due to European artillery and gunboats. Continuing an old tradition of fangzhi , the Republic of China had gazetteers composed and created national standards for them in 1929, updating these in 1946. The printing of gazetteers was revived in 1956 under Mao Zedong and again in the 1980s, after the reforms of
9922-432: The first journal of mathematical statistics and biostatistics (then called biometry ), and the latter founded the world's first university statistics department at University College London . The second wave of the 1910s and 20s was initiated by William Sealy Gosset , and reached its culmination in the insights of Ronald Fisher , who wrote the textbooks that were to define the academic discipline in universities around
10043-583: The first known Western geographical dictionary to geographer Stephanus of Byzantium (fl. 6th century) while also noting influence in his work from the Thesaurus Geographicus (1587) by the Belgian cartographer Abraham Ortelius (1527–1598), but stated that Ortelius' work dealt largely with ancient geography and not up-to-date information. Only fragments of Stephanus' geographical work Ethnica (Εθνικά) have survived and were first examined by
10164-479: The following for each administrative area of Egypt at the time: ...the name of a nome capital, its sacred barque, its sacred tree, its cemetery, the date of its festival, the names of forbidden objects, the local god, land, and lake of the city. This interesting codification of data, probably made by a priest, is paralleled by very similar editions of data on the temple walls at Edfu, for example. The Domesday Book initiated by William I of England in 1086
10285-402: The former gives more weight to large errors. Residual sum of squares is also differentiable , which provides a handy property for doing regression . Least squares applied to linear regression is called ordinary least squares method and least squares applied to nonlinear regression is called non-linear least squares . Also in a linear regression model the non deterministic part of the model
10406-518: The gentry solicited funds from merchants to build and repair schools, print scholarly books, build Chinese pagodas on auspicious sites , and other things that were needed by the gentry and scholar-officials in order to succeed. Hence, the gentry figures composing the gazetteers in the latter half of the Ming period spoke favorably of merchants, whereas before they were rarely mentioned. Brook and other modern sinologist historians also examine and consult
10527-605: The given parameters of a total population to deduce probabilities that pertain to samples. Statistical inference, however, moves in the opposite direction— inductively inferring from samples to the parameters of a larger or total population. A common goal for a statistical research project is to investigate causality , and in particular to draw a conclusion on the effect of changes in the values of predictors or independent variables on dependent variables . There are two major types of causal statistical studies: experimental studies and observational studies . In both types of studies,
10648-438: The late Ming dynasty officials who compiled the information on the ethnic groups of Guizhou offered scanty details about them in their gazetteers (perhaps due to their lack of contact with these peoples), the later Qing dynasty gazetteers often provided a much more comprehensive analysis. By 1673 the Guizhou gazetteers featured different written entries for the various Miao peoples of the region. Historian Laura Holsteter writes on
10769-587: The late Qing period, published the gazetteer "Dili quanzhi", which was reprinted in Japan in 1859. Divided into fifteen volumes, this work covered Europe, Asia, Africa, and the Pacific Ocean Archipelagos , and was sub-divided further into sections on geography, topography, water masses, atmosphere, biology, anthropology, and historical geography. Chinese maritime trade gazetteers mentioned a slew of different countries that came to trade in China, such as United States vessels docking at Canton in
10890-573: The latter, the 1530 edition of "Sinjŭng tongguk yŏji sŭngnam" ('New Edition of the Korean National Gazetteer') gave a brief statement about Pak Yŏn (1378–1458), noting his successful career in the civil service , his exceptional filiality, his brilliance in music theory , and his praisable efforts in systematizing ritual music for Sejong's court . King Sejong established the Joseon dynasty's first national gazetteer in 1432, called
11011-473: The local Ming gazetteers to compare population info with the contemporary central government records, which often provided dubious population figures that did not reflect the actually larger population size of China during the time. Although better known for his work on the Gujin Tushu Jicheng encyclopedia, the early-to-mid Qing scholar Jiang Tingxi aided other scholars in the compilation of
11132-430: The local histories and gazetteers of provinces such as Guizhou during the Ming and Qing dynasties. As the Qing dynasty pushed further with its troops and government authorities into areas of Guizhou that were uninhabited and not administered by the Qing government, the official gazetteers of the region would be revised to include the newly drawn-up districts and non-Han ethnic groups (mostly Miao peoples ) therein. While
11253-439: The local officials who drafted them and the central government officials who collected them. Although most Song gazetteers credited local officials as the authors, already in the Song there were bibliographers who noted that non-official literati were asked to compose these works or did so on their own behalf. By the 16th century—during the Ming dynasty—local gazetteers were commonly composed due to local decision-making rather than
11374-404: The matured literary genre of fangzhi or "treatise on a place" of the Song dynasty. Although Zheng Qiao of the 12th century did not notice the fangzhi while writing his encyclopedic Tongzhi including monographs to geography and cities, others such as the bibliographer Chen Zhensun of the 13th century were listing gazetteers instead of the map guides in their works. The main differences between
11495-424: The most celebrated argument in evolutionary biology ") and Fisherian runaway , a concept in sexual selection about a positive feedback runaway effect found in evolution . The final wave, which mainly saw the refinement and expansion of earlier developments, emerged from the collaborative work between Egon Pearson and Jerzy Neyman in the 1930s. They introduced the concepts of " Type II " error, power of
11616-412: The overall result is significant in real world terms. For example, in a large study of a drug it may be shown that the drug has a statistically significant but very small beneficial effect, such that the drug is unlikely to help the patient noticeably. Although in principle the acceptable level of statistical significance may be subject to debate, the significance level is the largest p-value that allows
11737-487: The place was inconsequential". While working in the Department of Arms , the Tang dynasty cartographer Jia Dan (730–805) and his colleagues would acquire information from foreign envoys about their respective homelands, and from these interrogations would produce maps supplemented by textual information. Even within China, ethnographic information on ethnic minorities of non- Han peoples were often described in
11858-415: The population data. Numerical descriptors include mean and standard deviation for continuous data (like income), while frequency and percentage are more useful in terms of describing categorical data (like education). When a census is not feasible, a chosen subset of the population called a sample is studied. Once a sample that is representative of the population is determined, data is collected for
11979-544: The population. Sampling theory is part of the mathematical discipline of probability theory . Probability is used in mathematical statistics to study the sampling distributions of sample statistics and, more generally, the properties of statistical procedures . The use of any statistical method is valid when the system or population under consideration satisfies the assumptions of the method. The difference in point of view between classic probability theory and sampling theory is, roughly, that probability theory starts from
12100-494: The problem of how to analyze big data . When full census data cannot be collected, statisticians collect sample data by developing specific experiment designs and survey samples . Statistics itself also provides tools for prediction and forecasting through statistical models . To use a sample as a guide to an entire population, it is important that it truly represents the overall population. Representative sampling assures that inferences and conclusions can safely extend from
12221-470: The publication of Natural and Political Observations upon the Bills of Mortality by John Graunt . Early applications of statistical thinking revolved around the needs of states to base policy on demographic and economic data, hence its stat- etymology . The scope of the discipline of statistics broadened in the early 19th century to include the collection and analysis of data in general. Today, statistics
12342-461: 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 . Instead, data are gathered and correlations between predictors and response are investigated. While the tools of data analysis work best on data from randomized studies , they are also applied to other kinds of data—like natural experiments and observational studies —for which
12463-439: The sample data to draw inferences about the population represented while accounting for randomness. These inferences may take the form of answering yes/no questions about the data ( hypothesis testing ), estimating numerical characteristics of the data ( estimation ), describing associations within the data ( correlation ), and modeling relationships within the data (for example, using regression analysis ). Inference can extend to
12584-399: The sample members in an observational or experimental setting. Again, descriptive statistics can be used to summarize the sample data. However, drawing the sample contains an element of randomness; hence, the numerical descriptors from the sample are also prone to uncertainty. To draw meaningful conclusions about the entire population, inferential statistics are needed. It uses patterns in
12705-405: The sample to the population as a whole. A major problem lies in determining the extent that the sample chosen is actually representative. Statistics offers methods to estimate and correct for any bias within the sample and data collection procedures. There are also methods of experimental design that can lessen these issues at the outset of a study, strengthening its capability to discern truths about
12826-412: The sampling and analysis were repeated under the same conditions (yielding a different dataset), the interval would include the true (population) value in 95% of all possible cases. This does not imply that the probability that the true value is in the confidence interval is 95%. From the frequentist perspective, such a claim does not even make sense, as the true value is not a random variable . Either
12947-408: The statistic, though, may have unknown parameters. Consider now a function of the unknown parameter: an estimator is a statistic used to estimate such function. Commonly used estimators include sample mean , unbiased sample variance and sample covariance . A random variable that is a function of the random sample and of the unknown parameter, but whose probability distribution does not depend on
13068-513: The text-based Gazetteer for Scotland , and the new (2008) National Gazetteer (for Scotland) , formerly known as the Definitive National Address – Scotland National Gazetteer. In addition to local or regional gazetteers, there have also been comprehensive world gazetteers published; an early example would be the 1912 world gazetteer published by Lippincott Williams & Wilkins . There are also interregional gazetteers with
13189-547: The title "The Gazetteer's: or Newsman's Interpreter: Being a Geographical Index". Echard wrote that the title "Gazetteer's" was suggested to him by a "very eminent person" whose name he chose not to disclose. For Part II of this work published in 1704, Echard referred to the book simply as "the Gazeteer". This marked the introduction of the word "gazetteer" into the English language . Historian Robert C. White suggests that
13310-420: The true value is or is not within the given interval. However, it is true that, before any data are sampled and given a plan for how to construct the confidence interval, the probability is 95% that the yet-to-be-calculated interval will cover the true value: at this point, the limits of the interval are yet-to-be-observed random variables . One approach that does yield an interval that can be interpreted as having
13431-416: The two sided interval is built violating symmetry around the estimate. Sometimes the bounds for a confidence interval are reached asymptotically and these are used to approximate the true bounds. Statistics rarely give a simple Yes/No type answer to the question under analysis. Interpretation often comes down to the level of statistical significance applied to the numbers and often refers to the probability of
13552-411: The type, and scope, of the information presented. World gazetteers usually consist of an alphabetical listing of countries, with pertinent statistics for each one, with some gazetteers listing information on individual cities , towns , villages , and other settlements of varying sizes. Short-form gazetteers , often used in conjunction with computer mapping and GIS systems, may simply contain
13673-485: The unknown parameter is called a pivotal quantity or pivot. Widely used pivots include the z-score , the chi square statistic and Student's t-value . Between two estimators of a given parameter, the one with lower mean squared error is said to be more efficient . Furthermore, an estimator is said to be unbiased if its expected value is equal to the true value of the unknown parameter being estimated, and asymptotically unbiased if its expected value converges at
13794-585: The use of sample size in frequency analysis. Although the term statistic was introduced by the Italian scholar Girolamo Ghilini in 1589 with reference to a collection of facts and information about a state, it was the German Gottfried Achenwall in 1749 who started using the term as a collection of quantitative information, in the modern use for this science. The earliest writing containing statistics in Europe dates back to 1663, with
13915-524: The work in compiling it". Gazetteers became widely popular in Britain in the 19th century, with publishers such as Fullarton , Mackenzie , Chambers and W & A. K. Johnston , many of whom were Scottish , meeting public demand for information on an expanding Empire. This British tradition continues in the electronic age with innovations such as the National Land and Property Gazetteer ,
14036-468: The world. Fisher's most important publications were his 1918 seminal paper The Correlation between Relatives on the Supposition of Mendelian Inheritance (which was the first to use the statistical term, variance ), his classic 1925 work Statistical Methods for Research Workers and his 1935 The Design of Experiments , where he developed rigorous design of experiments models. He originated
14157-478: Was "little more than medleys of politics, history and miscellaneous remarks on the manners, languages and arts of different nations, arranged in the order in which the territories stand on the map". Nevertheless, in 1802 Morse followed up his original work by co-publishing A New Gazetteer of the Eastern Continent with Rev. Elijah Parish, the latter of whom Ralph H. Brown asserts did the "lion's share of
14278-767: Was 879. Barrios (which are, in contemporary times, roughly comparable to minor civil divisions ) in turn are further subdivided into smaller local populated place areas/units called sectores ( sectors in English). The types of sectores may vary, from normally sector to urbanización to reparto to barriada to residencial , among others. The following sectors are in Puerto Ferro barrio: Sector Caballo Pelao, Sector Destino, Sector Los Chivos, Sector Luján, Sector Monte Carmelo, Sector Villa Borinquen, Urbanización Isabel II , and Urbanización Jardines de Vieques . This Vieques, Puerto Rico location article
14399-471: Was Joseph Scott in 1795 who published the first post-revolutionary American gazetteer, his Gazetteer of the United States . With the aid of Noah Webster and Rev. Samuel Austin, Morse finally published his gazetteer The American Universal Geography in 1797. However, Morse's gazetteer did not receive distinction by literary critics, as gazetteers were deemed as belonging to a lower literary class. The reviewer of Joseph Scott's 1795 gazetteer commented that it
14520-529: Was a government survey on all the administrative counties of England; it was used to assess the properties of farmsteads and landholders in order to tax them sufficiently. In the survey, numerous English castles were listed; scholars debate on exactly how many were actually referenced in the book. However, the Domesday Book does detail the fact that out of 3,558 registered houses destroyed in 112 different boroughs listed, 410 of these destroyed houses were
14641-452: Was published, which contained more than 9,000 different entries for geographic places. This was an improvement over Ortelius' work, since it included modern placenames and places discovered since the time of Ortelius. Pierre Duval (1618–1683), a nephew of the French cartographer Nicolas Sanson , wrote various geographical dictionaries. These include a dictionary on the abbeys of France,
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