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For example, the 68% confidence limits for a one-dimensional variable belonging to a normal distribution are approximately ± one standard deviation σ from the central value x, which means that the region x ± σ will cover the true value in roughly 68% of cases. If the uncertainties are correlated then covariance must be taken into account ...
1 in 15 669 601 204 101: Once every 43 billion years (never in the history of the Universe, twice in the future of the Local Group before its merger) μ ± 8σ: 0.999 999 999 999 999: 1.244 × 10 −15 = 1.244 ppq: 1 in 803 734 397 655 348: Once every 2.2 trillion years (never in the history of the Universe, once during the life of a red dwarf ...
Data cleansing may also involve harmonization (or normalization) of data, which is the process of bringing together data of "varying file formats, naming conventions, and columns", [2] and transforming it into one cohesive data set; a simple example is the expansion of abbreviations ("st, rd, etc." to "street, road, etcetera").
In the simplest cases, normalization of ratings means adjusting values measured on different scales to a notionally common scale, often prior to averaging. In more complicated cases, normalization may refer to more sophisticated adjustments where the intention is to bring the entire probability distributions of adjusted values into alignment.
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Fantasy football rankings are based on the point-per-reception (PPR) scoring used in most seasonal and daily fantasy football formats. One point is awarded for every 10 rushing and receiving yards ...
For a value that is sampled with an unbiased normally distributed error, the above depicts the proportion of samples that would fall between 0, 1, 2, and 3 standard deviations above and below the actual value.