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Conversely, given i.i.d. normal variables with known mean 1 and unknown variance σ 2, the sample mean ¯ is not an ancillary statistic of the variance, as the sampling distribution of the sample mean is N(1, σ 2 /n), which does depend on σ 2 – this measure of location (specifically, its standard error) depends on dispersion.
the sample variance, is an ancillary statistic – its distribution does not depend on μ. Therefore, from Basu's theorem it follows that these statistics are independent conditional on μ {\displaystyle \mu } , conditional on σ 2 {\displaystyle \sigma ^{2}} .
Tukey’s Test (see also: Studentized Range Distribution) However, with the exception of Scheffès Method, these tests should be specified "a priori" despite being called "post-hoc" in conventional usage. For example, a difference between means could be significant with the Holm-Bonferroni method but not with the Turkey Test and vice versa.
The term ancillary services is used to refer to a variety of operations beyond generation and transmission that are required to maintain grid stability and security. These services generally include active power control or frequency control and reactive power control or voltage control, on various timescales.
Later (perhaps by association with words such as "inquisitive"), it came to mean "to observe, study intently", and thence (from about the mid-19th century) "test, exam." [ 2 ] [ 3 ] There is a well-known myth about the word quiz that says that in 1791, a Dublin theatre owner named Richard Daly made a bet that he could introduce a word into the ...
Auxiliary (or ancillary) sciences of history are scholarly disciplines which help evaluate and use historical sources and are seen as auxiliary for historical research. [1] [page needed] Many of these areas of study, classification and analysis were originally developed between the 16th and 19th centuries by antiquaries, and would then have been regarded as falling under the broad heading of ...
A multiple choice question, with days of the week as potential answers. Multiple choice (MC), [1] objective response or MCQ(for multiple choice question) is a form of an objective assessment in which respondents are asked to select only the correct answer from the choices offered as a list.
The convention for analysing structural geology is to identify the planar structures, often called planar fabrics because this implies a textural formation, the linear structures and, from analysis of these, unravel deformations. Planar structures are named according to their order of formation, with original sedimentary layering the lowest at S0.