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Section Navigation

Modules:

  • Representation of functional Data
    • FDataGrid
    • SplineInterpolation
    • FDataBasis
    • BSplineBasis
    • FourierBasis
    • MonomialBasis
    • ConstantBasis
    • CustomBasis
    • TensorBasis
    • FiniteElementBasis
    • VectorValuedBasis
    • Basis
    • FDataIrregular
    • FData
    • Extrapolation
      • BoundaryExtrapolation
      • ExceptionExtrapolation
      • FillExtrapolation
      • PeriodicExtrapolation
      • Evaluator
    • Conversion between representations
      • Mixed effects converters
        • MinimizeMixedEffectsConverter
        • EMMixedEffectsConverter
    • BSpline
    • Fourier
    • Monomial
    • Constant
    • Tensor
    • FiniteElement
    • VectorValued
  • Preprocessing
    • Missing data
      • MissingValuesInterpolation
    • Smoothing
      • KernelSmoother
      • BasisSmoother
      • LinearSmootherLeaveOneOutScorer
      • LinearSmootherGeneralizedCVScorer
      • akaike_information_criterion
      • finite_prediction_error
      • shibata
      • rice
      • SmoothingParameterSearch
    • Registration
      • LeastSquaresShiftRegistration
      • landmark_shift_registration
      • landmark_shift_deltas
      • landmark_elastic_registration
      • landmark_elastic_registration_warping
      • FisherRaoElasticRegistration
      • AmplitudePhaseDecomposition
      • LeastSquares
      • SobolevLeastSquares
      • PairwiseCorrelation
      • invert_warping
      • normalize_warping
    • Dimensionality Reduction
      • MaximaHunting
      • RecursiveMaximaHunting
      • RKHSVariableSelection
      • MinimumRedundancyMaximumRelevance
      • Recursive Maxima Hunting
        • Correction
        • ConditionalMeanCorrection
        • UniformCorrection
        • GaussianCorrection
        • GaussianConditionedCorrection
        • GaussianSampleCorrection
        • DependenceThresholdRedundancy
        • ScoreThresholdStop
        • AsymptoticIndependenceTestStop
      • FPCA
      • FPLS
      • DiffusionMap
    • Feature construction
      • FDAFeatureUnion
      • PerClassTransformer
      • modified_epigraph_index
      • local_averages
      • occupation_measure
      • number_crossings
      • LocalAveragesTransformer
      • OccupationMeasureTransformer
      • NumberCrossingsTransformer
  • Exploratory analysis
    • Depth and outlyingness measures
      • Depth
      • IntegratedDepth
      • BandDepth
      • ModifiedBandDepth
      • DistanceBasedDepth
      • ProjectionDepth
      • SimplicialDepth
      • Outlyingness
      • StahelDonohoOutlyingness
      • OutlyingnessBasedDepth
    • Outlier detection
      • BoxplotOutlierDetector
      • MSPlotOutlierDetector
      • directional_outlyingness_stats
    • Summary statistics
      • mean
      • gmean
      • trim_mean
      • depth_based_median
      • geometric_median
      • fisher_rao_karcher_mean
      • cov
      • var
      • std
    • Visualization
      • GraphPlot
      • ScatterPlot
      • ParametricPlot
      • Boxplot
      • SurfaceBoxplot
      • Outliergram
      • DDPlot
      • MagnitudeShapePlot
      • ClusterPlot
      • ClusterMembershipLinesPlot
      • ClusterMembershipPlot
      • FPCAPlot
      • MixedDataPlot
  • Datasets
    • fetch_aemet
    • fetch_gait
    • fetch_growth
    • fetch_handwriting
    • fetch_mco
    • fetch_medflies
    • fetch_nox
    • fetch_octane
    • fetch_phoneme
    • fetch_tecator
    • fetch_weather
    • fetch_bone_density
    • fetch_cran
    • fetch_ucr
    • make_gaussian
    • make_gaussian_process
    • make_sinusoidal_process
    • make_multimodal_samples
    • make_multimodal_landmarks
    • make_random_warping
    • make_sde_trajectories
  • Miscellaneous
    • inner_product
    • inner_product_matrix
    • cosine_similarity
    • cosine_similarity_matrix
    • Covariance functions
      • Brownian
      • Covariance
      • Exponential
      • Gaussian
      • Linear
      • Polynomial
      • Matern
      • WhiteNoise
    • Metrics
      • LpNorm
      • LpDistance
      • lp_norm
      • lp_distance
      • angular_distance
      • fisher_rao_distance
      • fisher_rao_amplitude_distance
      • fisher_rao_phase_distance
      • MahalanobisDistance
      • NormInducedMetric
      • PairwiseMetric
      • TransformationMetric
    • Operators
      • Identity
      • LinearDifferentialOperator
      • SRSF
    • Regularization
      • L2Regularization
    • Hat Matrix
      • HatMatrix
      • NadarayaWatsonHatMatrix
      • LocalLinearRegressionHatMatrix
      • KNeighborsHatMatrix
    • Scoring methods for regression with functional response.
      • explained_variance_score
      • mean_absolute_error
      • mean_absolute_percentage_error
      • mean_squared_error
      • mean_squared_log_error
      • r2_score
      • root_mean_squared_error
      • root_mean_squared_log_error
  • Machine Learning
    • Classification
      • KNeighborsClassifier
      • RadiusNeighborsClassifier
      • NearestCentroid
      • DTMClassifier
      • MaximumDepthClassifier
      • DDClassifier
      • DDGClassifier
      • LogisticRegression
      • QuadraticDiscriminantAnalysis
    • Clustering
      • KMeans
      • FuzzyCMeans
      • NearestNeighbors
      • AgglomerativeClustering
    • Regression
      • LinearRegression
      • HistoricalLinearRegression
      • KNeighborsRegressor
      • RadiusNeighborsRegressor
      • KernelRegression
      • FPCARegression
      • FPLSRegression
  • Inference
    • ANOVA
      • oneway_anova
      • v_sample_stat
      • v_asymptotic_stat
    • Hotelling
      • hotelling_t2
      • hotelling_test_ind
  • API Reference
  • Inference

Inference#

This module provides functions and utilities to analyze functional data in order to draw conclusions from a sampled population and the degree of reliability of this results.

Modules:

  • ANOVA
    • One-way functional ANOVA
      • oneway_anova
    • Statistics
      • v_sample_stat
      • v_asymptotic_stat
  • Hotelling
    • hotelling_t2
      • hotelling_t2()
    • hotelling_test_ind
      • hotelling_test_ind()

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