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If the data are normally distributed, 99.7% of the area under the normal distribution curve lies within 3 SDs.
Playing under the normal distribution circuit radar at selected venues in the UK and around the world (there have been knit-along screenings), this is a scrappy but endearing documentary about mostly female artists and a traditionally feminine art form.
The sample mean is an efficient estimator under the normal distribution; thus, it outperforms the accuracy of the sample median in the normal distribution.
In addition, it has the highest breakdown point of 50%% and a very high normal efficiency about 82 % under the normal distribution.
Put differently, PROB-STD corresponds to the area under the normal distribution PDF beyond the decision value for the alternative class and thus it characterizes the uncertainty of the prediction.
Then PROB-STD is the area under the normal distribution probability density function (PDF) centred at (hat{y}left( {{mathbf{x}}_{new} } right)) with the standard deviation (hat{sigma }) from −∞ to 0.5 (decision value) if class 1 is predicted (i.e., (hat{y}left( {{mathbf{x}}_{new} } right) > 0.5)) and from 0.5 to +∞ if class 2 was predicted.
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It is evident from Figs. 1, 2, 3, 4 and 5 that the returns data under analysis conform to the normal distribution, which allows for the tests performed to produce meaningful results.
Outlier detection was done under the assumption that the normal distribution of the proportion of hit discordant reads in 2 kb windows aggregated across the chromosome will follow a normal distribution.
However, based on the observation of the real data, we know that the distributions of the β -value are far from the normal distribution, under which ANOVA is the best test.
According to the probabilistic analysis of the porosity, it is indicated that the porosity in all the concrete specimens under various damage conditions obeys to the normal distribution.
4) The Normal Distribution and Area under e^- x^2).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com