Statistical Data Analysis

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65 items

AggregateSmallest
Group small values in an association into a single category
AllanDeviation
Measure the two-sample phase/frequency stability
ArcsineLawRandomnessTest
Use the arcsine law to assess the randomness of a sequence of zeros and ones
AroundHistogramList
Calculate a histogram with Around objects and numbers
BayesianLinearRegression
Perform Bayesian linear regression with conjugate priors
BinCountAssociation
Collect histogram data in an association of bin intervals and bin heights
BinListsBy
Bin data into lists based on applying a function to each item
BinaryRunRandomnessTest
Conduct a runs–based test on a sequence of zeros and ones
BootstrapStatistics
Bootstrap a single statistic or a list of statistics
BootstrappedEstimate
Perform bootstrapping of an estimator on some data
CUSUMMaxRandomnessTest
Conduct a cumulative sum-based randomness test that creates a test statistic from the maximum value that a cumulative sums random walk achieves
ChiSquareMarkovChainStatistics
Calculate a chi-square statistic reflecting the homogeneity of a Markov chain's transition matrix over several time periods
ChiSquareRandomnessTest
Test a sequence of zeroes and ones (or a set of random reals between 0 and 1) for equidistribution and return a p-value
ConditionalCategoricalDistribution
Obtain a conditional categorical distribution formed by restricting the domain of a categorical distribution
ConfusionMatrixFlip
Alter a confusion matrix by stochastically flipping classification results
ConfusionMatrixTrajectoryFunction
Construct a function that, when given a threshold probability value, produces a confusion matrix
CrossTabulate
Compute the contingency table for a two- or three- column dataset or array
CumulativeAverages
Calculate the cumulative averages of a list
FirstOrderCorrelation
Compute the first order correlation matrix from an original correlation matrix
HadamardDeviation
Measure the linear-drift-insensitive, two-sample, phase/frequency stability
HedgesG
Computes the Hedges g statistic measuring an "effects size" difference between two lists of data
HextileBins
Bin data into hexagon tiles
IndependentComponentAnalysis
Decompose a matrix into Independent Component Analysis matrix factors
IntraclassCorrelation
Find the intraclass correlation coefficient (ICC) of a list of lists
InverseSigmaConfidenceLevel
Calculate the number of standard deviations of a normal distribution that correspond to a confidence level
ItemCounts
A two-argument form of Counts that gives an association between a set of provided keys and the number of times those keys appear in a list
ListGrowthPlot
Plot the growth of lists and temporal data
MannKendallZ
Compute the z-statistic for the Mann-Kendall test
MedianQuantileAround
Calculate the median of a list along with its uncertainty
MixtureCategoricalDistribution
Create a mixture distribution of categorical distributions and output it as a new CategoricalDistribution
ModifiedAllanDeviation
Measure the bandwidth-modified two-sample phase/frequency stability
MoranI
Compute Moran's I spatial autocorrelation coefficient
MultiNonlinearModelFit
Fit multiple datasets with multiple expressions that share parameters
MultisetDiceDissimilarity
Compute the Dice dissimilarity of two multisets
MultisetJaccardDissimilarity
Compute the Jaccard dissimilarity of two multisets
MultisetSokalSneathDissimilarity
Compute the Sokal-Sneath dissimilarity of two multisets
MutualInformation
Compute the mutual information of data samples or a multivariate distribution
PairwiseScatterPlot
Construct a scatter plot matrix
ParetoPrinciplePlot
Make Pareto principle adherence plots
PooledStandardDeviation
Compute the pooled standard deviation of multiple lists of data
PooledVariance
Compute the pooled variance of multiple lists of data
PowerMean
Compute the mean of a list of numbers all taken to some power
PowerTotal
Compute the total of a list of numbers all taken to some power
PrincipalAxisClustering
Quickly cluster a point cloud by recursive separation
Proportions
Get the proportion of times that each distinct element appears in a list
ProportionsBy
Get the proportion of times that each distinct element appears in a list when evaluated with a given function
QuantileOperator
An operator form of the Quantile function
ROCPoints3D
Extract the false positive rate, true positive rate and threshold values from the receiver operating characteristic (ROC) curve generated by a ClassifierMeasurementsObject
RaggedMeanAround
Compute MeanAround for corresponding elements in a collection of lists of potentially different lengths
RegressionListPlot
Display the regression line of a dataset
RunCountRandomnessTest
Conduct a runs up–based randomness test on a sequence of random reals between 0 and 1
RunLengthRandomnessTest
Conduct a randomness test on a sequence of random reals between 0 and 1 using run lengths of increasing subsequences
SampleRebalance
Resample data to correct for sampling bias
SerialRandomnessTest
Conduct an empirically derived test that assesses randomness using the frequencies of serial combinations of 0s and 1s
SpectralRandomnessTest
Use a discrete cosine transform–based method to test the randomness of a sequence of random reals
StatisticsSummary
Create summary statistics for numeric data
StudentTValue
Calculate the Student's t-value that corrects for the bias of the unknown standard deviation in the statistical uncertainty of a measurement
TallyBy
Tally items that give the same value when a function is applied
TileBins
Bin data into rectangular tiles
TimeSeriesEnsemble
Transform a long time series into an ensemble of segments with aligned starts
TrimmedLinearFit
Linear model fitting discarding outliers
TukeyMedianPolish
Find row and column effects in a data matrix by repeatedly subtracting the median
TwoSidedPValue
Find the probability of the absolute value of the test statistic being at least as extreme as the given value
VarianceAround
Calculate the variance of a list along with its uncertainty
WhiteningTransform
Transform data such that its covariance matrix is the identity matrix

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