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- Using Bessel's correction to calculate an unbiased estimate of the population variance from a finite sample of n observations, the formula is:.
- Among its major ethical tenets were altruism and a universal, unbiased respect and concern for all people regardless of relations or affiliations.
- Moreover, the statistical sample must be unbiased and accurately model the population (every unit of the population has an equal chance of selection).
- In statistical terms, it underpins the principle of probabilistic equivalence among groups, allowing for the unbiased estimation of treatment effects and the generalizability of conclusions drawn from sample data to the broader population.
- However, a biased estimator with a small variance may be more useful than an unbiased estimator with a large variance.
- In statistics, the Gauss–Markov theorem (or simply Gauss theorem for some authors) states that the ordinary least squares (OLS) estimator has the lowest sampling variance within the class of linear unbiased estimators, if the errors in the linear regression model are uncorrelated, have equal variances and expectation value of zero.
- Gardiner may have been drawn to the period by the fact that he was descended from Oliver Cromwell and Henry Ireton, but it is said that his judgments were unbiased, and his appreciations of character reveal fine perception and broad sympathies, as shown in his analyses of the characters of James I, Francis Bacon, William Laud, and Thomas Wentworth, as well as Oliver Cromwell.
- In an analogy to standard deviation, taking the square root of MSE yields the root-mean-square error or root-mean-square deviation (RMSE or RMSD), which has the same units as the quantity being estimated; for an unbiased estimator, the RMSE is the square root of the variance, known as the standard error.
- At the same time, Searight intended his language to be more practical than most a priori languages like Solresol or Ro, which were intended to be unbiased by any particular group of natural languages.
- In statistics, the Lehmann–Scheffé theorem is a prominent statement, tying together the ideas of completeness, sufficiency, uniqueness, and best unbiased estimation.
- In order for the absolute deviation to be an unbiased estimator, the expected value (average) of all the sample absolute deviations must equal the population absolute deviation.
- The scientific work of ICES is done by a community of more than 1600 marine scientists from research institutes and universities in member and affiliate nations collaborating to gather information about the marine ecosystem, fill gaps in existing knowledge, and develop unbiased, non-political advice in addressing terms of reference developed each year by the advisory and science committees at the week-long ICES Annual Science Conference (ASC).
- Under suitable assumptions of the prior, kriging gives the best linear unbiased prediction (BLUP) at unsampled locations.
- Although some journalists may assert their professional independence and integrity, and insist on producing an unbiased review, in other cases, writers may succumb to the pressure and pen a biased "puff piece" which praises the product or event while omitting any discussion of any shortcomings.
Thank Heaven, the day at length has dawned when the Hawaiian nation can boast a free press, untrammeled by government patronage or party pledges, unbiased by ministerial frowns or favors.
- Traditionally, statisticians have evaluated estimators and designs by considering some summary statistic of the covariance matrix (of an unbiased estimator), usually with positive real values (like the determinant or matrix trace).
- Although he was not eloquent and had a nasal voice, his hearers were loath to miss any of his thoughtful teaching, which was unbiased and well expressed.
- Trustworthiness – related to well-intentioned, truthful, unbiased information and perceived goodness or morality of the source.
- The umpires are expected to remain impartial and unbiased in their judgements, and although a small degree of bias is occasionally perceived, this arrangement functions remarkably well.
- He held several conferences on the subject with the clergy of his diocese; and in the hope of influencing candid minds by means of the opinions of unbiased foreigners, he obtained letters treating of the question (since printed at the end of Edward Stillingfleet's Unreasonableness of Separation) from Le Moyne, professor of divinity at the University of Leiden, and the famous French Protestant divine, Jean Claude.
- This was most effusively expressed by his good friend Harry Perry Robinson, a not totally unbiased journalist from The Times in Raemaekers' album The Great War: a Neutral’s Indictment (1916): ‘Raemaekers’ testimony is a testimony of an eye-witness.
- The NIC's goal is to provide policymakers with the best available information, that is unvarnished, unbiased and without regard to whether the analytic judgments conform to current U.
- Lat's attention to details gained him popularity, endearing his works to the masses who find them believable and unbiased.
- " In response, National Labour stated that "Mr Davin and his colleagues short-circuited any kind of unbiased inquisition by setting up a tribunal of their own on which those very people charged with complicity in the Communist fusion sat as the judges and assessors.
- Boston-based free newspaper publisher Russel Pergament moved into New York City's ultra-competitive newspaper market in the early 2000s, a move Time called "admirable in its audacity", by focusing on the 18-to-34 segment of the population that traditionally did not read newspapers and wanted content that was "fast, blather free and unbiased" according to Pergament.
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