Definition of Probable error. Meaning of Probable error. Synonyms of Probable error

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Definition of Probable error

Probable error
3. Rendering probable; supporting, or giving ground for, belief, but not demonstrating; as, probable evidence; probable presumption. --Blackstone. Probable cause (Law), a reasonable ground of presumption that a charge is, or my be, well founded. Probable error (of an observation, or of the mean of a number), that within which, taken positively and negatively, there is an even chance that the real error shall lie. Thus, if 3[sec] is the probable error in a given case, the chances that the real error is greater than 3[sec] are equal to the chances that it is less. The probable error is computed from the observations made, and is used to express their degree of accuracy.
Probable error
Error Er"ror, n. [OF. error, errur, F. erreur, L. error, fr. errare to err. See Err.] 1. A wandering; a roving or irregular course. [Obs.] The rest of his journey, his error by sea. --B. Jonson. 2. A wandering or deviation from the right course or standard; irregularity; mistake; inaccuracy; something made wrong or left wrong; as, an error in writing or in printing; a clerical error. 3. A departing or deviation from the truth; falsity; false notion; wrong opinion; mistake; misapprehension. H? judgment was often in error, though his candor remained unimpaired. --Bancroft. 4. A moral offense; violation of duty; a sin or transgression; iniquity; fault. --Ps. xix. 12. 5. (Math.) The difference between the approximate result and the true result; -- used particularly in the rule of double position. 6. (Mensuration) (a) The difference between an observed value and the true value of a quantity. (b) The difference between the observed value of a quantity and that which is taken or computed to be the true value; -- sometimes called residual error. 7. (Law.) A mistake in the proceedings of a court of record in matters of law or of fact. 8. (Baseball) A fault of a player of the side in the field which results in failure to put out a player on the other side, or gives him an unearned base. Law of error, or Law of frequency of error (Mensuration), the law which expresses the relation between the magnitude of an error and the frequency with which that error will be committed in making a large number of careful measurements of a quantity. Probable error. (Mensuration) See under Probable. Writ of error (Law), an original writ, which lies after judgment in an action at law, in a court of record, to correct some alleged error in the proceedings, or in the judgment of the court. --Bouvier. Burrill. Syn: Mistake; fault; blunder; failure; fallacy; delusion; hallucination; sin. See Blunder.

Meaning of Probable error from wikipedia

- In statistics, probable error defines the half-range of an interval about a central point for the distribution, such that half of the values from the distribution...
- Circular error probable (CEP), also circular error probability or circle of equal probability, is a measure of a weapon system's precision in the military...
- limit theorem Margin of error Probable error Standard error of the weighted mean Sample mean and sample covariance Standard error of the median Variance...
- error Mean absolute error Observational error Propagation of error Probable error Random and systematic errors Reduced chi-squared statistic Regression...
- discussion of errors of observation. The reprint (1757) of this memoir lays down the axioms that positive and negative errors are equally probable, and that...
- high reliability yields scores which have an appreciable probable error. The probable error in terms of mental age is of course larger with older than...
- "The probable error of a mean" (PDF). Biometrika. 6 (1): 1–25. March 1908. doi:10.1093/biomet/6.1.1. hdl:10338.dmlcz/143545. "Probable error of a correlation...
- ^{-1}(1/2)\approx 0.67449\sigma .} This form is used in, e.g., the probable error. In the case of complex values (X+iY), the relation of MAD to the standard...
- Bibcode:1895RSPTA.186..343P. doi:10.1098/rsta.1895.0010. Student (1908). "The Probable Error of a Mean" (PDF). Biometrika. 6 (1): 1–25. doi:10.1093/biomet/6.1.1...
- first to publish the result in English in his 1908 paper titled "The Probable Error of a Mean" (in Biometrika) using his pseudonym "Student" because his...