AnovaModel Class

Represents an Analysis of Variance (ANOVA) model.

Definition

Namespace: Numerics.NET.Statistics
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.4
C#
public abstract class AnovaModel : Model
Inheritance
Object  →  Model  →  AnovaModel
Derived

Remarks

The AnovaModel class is an abstract base class for all classes that implement Analysis of Variance (ANOVA) models. It inherits from RegressionModel<T>, and defines a number of additional properties and methods useful in analysis of variance.

ANOVA models are a specialized form of regression model whose independent variables or predictors are all categorical in nature. The categorical scales are called factors. Use the GetFactor(Int32) method to get the factor that corresponds to a specific independent variable.

The Cells property returns a vector or matrix of Cell objects. There is one cell for every combination of factor levels. The IsBalanced property indicates whether all cells have the same number of observations.

One of the assumptions in analysis of variance is that the variances of the data in each cell are the same. The GetHomogeneityOfVariancesTest(TestOfHomogeneityOfVariances) returns a hypothesis test object /// that allows you to verify this assumption.

This is an abstract base class, and cannot be instantiated directly. Instead, use one of the derived classes listed in the following table.

ClassDescription
OneWayAnovaModelRepresents a one-way analysis of variance model.
OneWayRAnovaModelRepresents a one-way analysis of variance model with repeated measures.
TwoWayAnovaModelRepresents a two-way analysis of variance.
.

Constructors

AnovaModel(IDataFrame, String) Constructs a new AnovaModel objects.
AnovaModel(Vector<Double>, ICategoricalVector[]) Constructs a new AnovaModel objects.
AnovaModel(IDataFrame, String, String[]) Constructs a new AnovaModel objects.

Properties

AdjustedRSquared Gets the adjusted R Squared value for the regression.
AnovaTable Gets the AnovaTable that summarizes the results of this model.
BaseFeatureIndex Gets an index containing the keys of the columns that are required inputs to the model.
(Inherited from Model)
Computed Gets whether the model has been computed.
(Inherited from Model)
Obsolete.
CovarianceMatrix Gets the covariance matrix of the model parameters.
Data Gets an object that contains all the data used as input to the model.
(Inherited from Model)
DegreesOfFreedom Gets the total degrees of freedom of the data.
DependentVariable Gets or sets the dependent variable in the ANOVA model.
Fitted Gets whether the model has been computed.
(Inherited from Model)
FStatistic Gets the F statistic for the regression.
Grouping Gets the grouping object that maps observations to their cell.
InputSchema Gets the schema for the features used for fitting the model.
(Inherited from Model)
IsBalanced Gets whether all the cells in the ANOVA design have the same number of observations.
LogLikelihood Gets the log-likelihood that the model generated the data.
MaxDegreeOfParallelism Gets or sets the maximum degree of parallelism enabled by this instance.
(Inherited from Model)
ModelSchema Gets the collection of variables used in the model.
(Inherited from Model)
NumberOfObservations Gets the number of observations the model is based on.
(Inherited from Model)
ObservationsPerCell Gets the number of observations per cell.
ParallelOptions Gets or sets an object that specifies how the calculation of the model should be parallelized.
(Inherited from Model)
Parameters Gets a vector containing the estimated values of the model parameters.
PValue Gets the probability corresponding to the F statistic for the regression.
RSquared Gets the R Squared value for the regression.
StandardError Gets the standard error of the regression.
Status Gets the status of the model, which determines which information is available.
(Inherited from Model)
SupportsWeights Indicates whether the model supports case weights.
(Inherited from Model)
Weights Gets or sets the actual weights.
(Inherited from Model)

Methods

Compute() Computes the model.
(Inherited from Model)
Obsolete.
Compute(ParallelOptions) Computes the model.
(Inherited from Model)
Obsolete.
EqualsDetermines whether the specified object is equal to the current object.
(Inherited from Object)
FinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object)
Fit() Fits the model to the data.
(Inherited from Model)
Fit(ParallelOptions) Fits the model to the data.
(Inherited from Model)
FitCore Computes the model to the specified input using the specified parallelization options.
(Inherited from Model)
GetAkaikeInformationCriterion Returns the Akaike information criterion (AIC) value for the model.
GetBartlettTest Returns Bartlett's test to verify that the cells have the same variance.
GetBayesianInformationCriterion Returns the Bayesian information criterion (BIC) value for the model.
GetFactor(Int32) Gets the factor corresponding to the variable with the specified index.
GetFactor<T>(Int32) Gets the strongly typed factor corresponding to the variable at the specified position.
GetHashCodeServes as the default hash function.
(Inherited from Object)
GetHomogeneityOfVariancesTest() Returns a test to verify that the cells have the same variance.
GetHomogeneityOfVariancesTest(TestOfHomogeneityOfVariances) Returns a test to verify that the cells have the same variance.
GetLeveneTest Returns Levene's test to verify that the cells have the same variance.
GetTypeGets the Type of the current instance.
(Inherited from Object)
MemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
ResetComputation Clears all fitted model parameters.
(Inherited from Model)
Obsolete.
ResetFit Clears all fitted model parameters.
(Inherited from Model)
SetDataSource Uses the specified data frame as the source for all input variables.
(Inherited from Model)
Summarize() Returns a string containing a human-readable summary of the object using default options.
(Inherited from Model)
Summarize(SummaryOptions) Returns a string containing a human-readable summary of the object using the specified options.
(Overrides Model.Summarize(SummaryOptions))
ToString Returns a string representation of this instance.
(Overrides Model.ToString())

See Also