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TwoWayAnovaTypeI Class

Class for performing a Type I ANOVA on unbalanced data. See the description of the base class TwoWayAnovaUnbalanced for a description of the notation. Type I, also called "sequential" sum of squares: SS(A) for factor A. SS(B | A) for factor B. SS(AB | B, A) for interaction AB. This tests the main effect of factor A, followed by the main effect of factor B after the main effect of A, followed by the interaction effect AB after the main effects.
Inheritance Hierarchy

Namespace:  CenterSpace.NMath.Core
Assembly:  NMath (in NMath.dll) Version: 7.4
Syntax
public class TwoWayAnovaTypeI : TwoWayAnovaUnbalanced

The TwoWayAnovaTypeI type exposes the following members.

Constructors
  NameDescription
Public methodTwoWayAnovaTypeI
Constructs a TwoWayAnovaTypeI instance from data in the given data frame.
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Properties
  NameDescription
Public propertyAnovaTable
Gets the ANOVA table.
(Inherited from TwoWayAnovaUnbalanced.)
Public propertyFactorARegressionFactorParameters
Gets the ANOVAs for the factor A regression parameters.
(Inherited from TwoWayAnovaUnbalanced.)
Public propertyFactorBRegressionFactorParameters
Gets the ANOVAs for the factor B regression parameters.
(Inherited from TwoWayAnovaUnbalanced.)
Public propertyGrandMean
Gets the grand mean.
(Inherited from TwoWayAnovaUnbalanced.)
Public propertyInteractionRegressionFactorParameters
Gets the ANOVAs for the interaction regression parameters.
(Inherited from TwoWayAnovaUnbalanced.)
Public propertyRegressionInterceptParameter
Bets the ANOVA regression parameter object associated with the intercept parameter.
(Inherited from TwoWayAnovaUnbalanced.)
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Methods
  NameDescription
Protected methodComputeBalancedAnova
Computes the ANOVA in the case that the design is acutally balanced. This can greatly increase performance if an unbalanced ANOVA class is used to perform an ANOVA on a data set that is in fact balanced (same number of observations in each cell).
(Inherited from TwoWayAnovaUnbalanced.)
Protected methodComputeFactorSumsOfSquares(DoubleMatrix)
Fill in the DoubleVector parameterSumsOfSquares_ with the sums of squares for the parameters used in the regression that is used to compute the ANOVA.
(Inherited from TwoWayAnovaBase.)
Protected methodComputeFactorSumsOfSquares(DoubleMatrix, TwoWayAnovaUnbalancedParameterOrder, TwoWayAnovaUnbalancedParameterSlices)
Compute the factor sums of squares.
(Inherited from TwoWayAnovaUnbalanced.)
Protected methodComputeFactorSumsOfSquares(LinearRegression, Int32, Int32, Int32)
Fill in the DoubleVector parameterSumsOfSquares_ with the sums of squares for the parameters used in the regression that is used to compute the ANOVA.
(Inherited from TwoWayAnovaBase.)
Public methodGetCellData
Returns all the data in a cell, as defined by the levels of the two factors in the ANOVA.
(Inherited from TwoWayAnovaBase.)
Protected methodGetFactorSumOfSquares
For a given parameter order, retrives the sum of squares for the regression parameters associated with the last factor, or interaction, in the order.
(Inherited from TwoWayAnovaUnbalanced.)
Public methodGetMeanForCell
Returns the mean for the specified cell, as defined by the levels of the two factors in the ANOVA.
(Inherited from TwoWayAnovaBase.)
Public methodGetMeanForFactorLevel
Returns the mean for the specified factor level.
(Inherited from TwoWayAnovaBase.)
Protected methodGetOrderedRegression
Create the ordered linear regession object for the data and given coefficient ordering.
(Inherited from TwoWayAnovaUnbalanced.)
Protected methodGetParameterSlices
For a give ANOVA regression factor/interaction parameter order, computes the slices to access the columns of the regression matrix for the factor and interaction parameters.
(Inherited from TwoWayAnovaUnbalanced.)
Protected methodIncrementalSumOfSquares(LinearRegression, Int32, DoubleVector, Double)
(Inherited from TwoWayAnovaUnbalanced.)
Protected methodIncrementalSumOfSquares(DoubleMatrix, Int32, DoubleVector, Double, Factor, AnovaRegressionFactorParam)
Computes the incremental sum of squares when adding numParameters to the regression model. The columns corresponding these parameters are assumed to be the last numParameter columns in the given regression matrix.
(Inherited from TwoWayAnovaUnbalanced.)
Protected methodInitializeFactorsAndCellData
Consumes the ANOVA data from a DataFrame.
(Inherited from TwoWayAnovaUnbalanced.)
Protected methodInterceptParameterSumOfSquares
Compte the sum of squares associated with the regression's intercept parameter.
(Inherited from TwoWayAnovaBase.)
Protected methodMakeCellData
Fills in the cell data for a two way ANOVA from the given data frame and column information.
(Inherited from TwoWayAnovaBase.)
Protected methodMakeFactorParameters(LinearRegression, DoubleVector, Int32, Factor)
Create the array of AnovaRegressionFactorParam objects, one for each regression dummy variable. The sums of squares for each of these parameters is assumed to have been computed are are stored in the DoubleVector instance variable parameterSumsOfSquares with the parameters for factor A first, followed by the parameters for factor B and starting at the given index.
(Inherited from TwoWayAnovaBase.)
Protected methodMakeFactorParameters(Factor, DoubleVector, LinearRegression, Int32, Int32)
Create the array of AnovaRegressionFactorParam objects, one for each regression dummy variable. The sums of squares for each of these parameters is assumed to have been computed are are stored in the DoubleVector instance variable parameterSumsOfSquares with the parameters for factor A first, followed by the parameters for factor B and starting at the given index.
(Inherited from TwoWayAnovaUnbalanced.)
Protected methodMakeInteractionParameters
Creates the array of AnovaRegressionInteractionParam objects using the DoubleVector instance variable parameterSumsOfSquares_. The sums of squares for the interaction parameters are assumed to begin at the given index.
(Inherited from TwoWayAnovaBase.)
Protected methodReorderRegressionMatrix
For a give parameter order reorders the columns of the input regression matrix so that the the columns corresponding to the parameters are in the order specified by the parameter order.
(Inherited from TwoWayAnovaUnbalanced.)
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Fields
  NameDescription
Protected fieldanovaTable_
The ANOVA table.
(Inherited from TwoWayAnovaUnbalanced.)
Protected fieldcells_
The ANOVA data broken up into cells.
(Inherited from TwoWayAnovaBase.)
Protected fieldfactorA_
One of the factors in the ANOVA
(Inherited from TwoWayAnovaBase.)
Protected fieldfactorAparams_
Anovas for the factor A regression parameters.
(Inherited from TwoWayAnovaUnbalanced.)
Protected fieldfactorB_
The other factor in the ANOVA.
(Inherited from TwoWayAnovaBase.)
Protected fieldfactorBparams_
Anovas for the factor B regression parameters.
(Inherited from TwoWayAnovaUnbalanced.)
Protected fieldgrandMean_
The mean of all the data.
(Inherited from TwoWayAnovaUnbalanced.)
Protected fieldinteractionParams_
Anovas for the interaction regression parameters.
(Inherited from TwoWayAnovaUnbalanced.)
Protected fieldinterceptParameter_
Intercept parameter values for the ANOVA regression.
(Inherited from TwoWayAnovaUnbalanced.)
Protected fieldnumFactorAparams_
Number of regression parameters for factor A.
(Inherited from TwoWayAnovaUnbalanced.)
Protected fieldnumFactorBparams_
Number of regression parameters for factor B.
(Inherited from TwoWayAnovaUnbalanced.)
Protected fieldnumInteractionParams_
Number of interaction regression parameters.
(Inherited from TwoWayAnovaUnbalanced.)
Protected fieldobservations_
The observation vector for the regression used to compute the ANVOA.
(Inherited from TwoWayAnovaBase.)
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See Also