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p. -value. In null-hypothesis significance testing, the -value[note 1] is the probability of obtaining test results at least as extreme as the result actually observed, under the assumption that the null hypothesis is correct. [2][3] A very small p -value means that such an extreme observed outcome would be very unlikely under the null hypothesis.
Sum ← Sum + x. SumSq ← SumSq + x × x. Var = (SumSq − (Sum × Sum) / n) / (n − 1) This algorithm can easily be adapted to compute the variance of a finite population: simply divide by n instead of n − 1 on the last line. Because SumSq and (Sum×Sum)/n can be very similar numbers, cancellation can lead to the precision of the result to ...
R's statistics base-package implements the correlation coefficient with cor(x, y), or (with the P value also) with cor.test(x, y). The SciPy Python library via pearsonr(x, y). The Pandas Python library implements Pearson correlation coefficient calculation as the default option for the method pandas.DataFrame.corr
Qlucore Omics Explorer – interactive and visual data analysis software. RapidMiner – machine learning toolbox. Regression Analysis of Time Series (RATS) – comprehensive econometric analysis package. Rguroo Statistical Software - An online statistical software designed for teaching and analyzing data.
In statistics, a moving average (rolling average or running average or moving mean[1] or rolling mean) is a calculation to analyze data points by creating a series of averages of different selections of the full data set. Variations include: simple, cumulative, or weighted forms. Mathematically, a moving average is a type of convolution.
Regularity was originally measured by exact regularity statistics, which has mainly centered on various entropy measures. [1] However, accurate entropy calculation requires vast amounts of data, and the results will be greatly influenced by system noise, [ 2 ] therefore it is not practical to apply these methods to experimental data.
Condition numbers can also be defined for nonlinear functions, and can be computed using calculus.The condition number varies with the point; in some cases one can use the maximum (or supremum) condition number over the domain of the function or domain of the question as an overall condition number, while in other cases the condition number at a particular point is of more interest.
The MSE either assesses the quality of a predictor (i.e., a function mapping arbitrary inputs to a sample of values of some random variable), or of an estimator (i.e., a mathematical function mapping a sample of data to an estimate of a parameter of the population from which the data is sampled).