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Then is called a pivotal quantity (or simply a pivot). Pivotal quantities are commonly used for normalization to allow data from different data sets to be compared. It is relatively easy to construct pivots for location and scale parameters: for the former we form differences so that location cancels, for the latter ratios so that scale cancels.
A Phase 0 study gives no data on safety or efficacy, being by definition a dose too low to cause any therapeutic effect. Drug development companies carry out Phase 0 studies to rank drug candidates to decide which has the best pharmacokinetic parameters in humans to take forward into further development.
In the 1928 book The Nature of the Physical World, which helped to popularize the concept, Eddington stated: . Let us draw an arrow arbitrarily. If as we follow the arrow we find more and more of the random element in the state of the world, then the arrow is pointing towards the future; if the random element decreases the arrow points towards the past.
Will Smith has announced a new venture that promises to “take fans on a journey” to a “pivotal time” in music history. The actor, 55, will host the Class of ‘88 podcast series, which is ...
A pivotal trial is typically a Phase III clinical trial in the multi-year process of clinical research intended to demonstrate and confirm the safety and efficacy of a treatment – such as a drug candidate, medical device or clinical diagnostic procedure – and to estimate the incidence of common adverse effects. [1]
Also related is the concept of tent-pole programming, or using popular, well-established television shows scheduled in pivotal time periods to boost the ratings of the shows around them. Used especially for new shows, hammocking is limited to prime time, where "appointment television" is strong.
"The challenges Jimmy faced as President came at a pivotal time for our country and he did everything in his power to improve the lives of all Americans. For that, we all owe him a debt of gratitude."
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.