IdtMANOVA-class {MAINT.Data}

Class IdtMANOVA

Description

IdtMANOVA extends LRTest directly, containing the results of MANOVA tests on the interval-valued data. This class is not used directly, but is the basis for different specializations according to the model assumed for the distribution in each group. In particular, the following specializations of IdtMANOVA are currently implemented:

IdtClMANOVA extends IdtMANOVA, assuming a classical (i.e., homoscedastic gaussian) setup.

IdtHetNMANOVA extends IdtMANOVA, assuming a heteroscedastic gaussian set-up.

IdtLocSNMANOVA extends IdtMANOVA, assuming a Skew-Normal location model set-up.

IdtLocNSNMANOVA extends IdtMANOVA, assuming either a homoscedastic gaussian or Skew-Normal location model set-up.

IdtGenSNMANOVA extends IdtMANOVA, assuming a Skew-Normal general model set-up.

IdtGenNSNMANOVA extends IdtMANOVA, assuming either a heteroscedastic gaussian or Skew-Normal general model set-up.

Slots

NIVar:

Number of interval variables.

grouping:

Factor indicating the group to which each observation belongs to.

H0res:

Model estimates under the null hypothesis.

H1res:

Model estimates under the alternative hypothesis.

ChiSq:

Inherited from class LRTest. Value of the Chi-Square statistics corresponding to the performed test.

df:

Inherited from class LRTest. Degrees of freedom of the Chi-Square statistics.

pvalue:

Inherited from class LRTest. p-value of the Chi-Square statistics value, obtained from the Chi-Square distribution with df degrees of freedom.

H0logLik:

Inherited from class LRTest. Logarithm of the Likelihood function under the null hypothesis.

H1logLik:

Inherited from class LRTest. Logarithm of the Likelihood function under the alternative hypothesis.

Methods

show

signature(object = "IdtMANOVA"): show S4 method for the IdtMANOVA-classes.

summary

signature(object = "IdtMANOVA"): summary S4 method for the IdtMANOVA-classes.

H0res

signature(object = "IdtMANOVA"): retrieves the model estimates under the null hypothesis.

H1res

signature(object = "IdtMANOVA"): retrieves the model estimates under the alternative hypothesis.

lda

signature(x = "IdtClMANOVA"): Linear Discriminant Analysis using the estimated model parameters.

lda

signature(x = "IdtLocNSNMANOVA"): Linear Discriminant Analysis using the estimated model parameters.

qda

signature(x = "IdtHetNMANOVA"): Quadratic Discriminant Analysis using the estimated model parameters.

qda

signature(x = "IdtGenNSNMANOVA"): Quadratic Discriminant Analysis using the estimated model parameters.

snda

signature(x = "IdtLocNSNMANOVA"): Discriminant Analysis using maximum likelihood parameter estimates of SkewNormal mixtures assuming a "location" model (i.e., groups differ only in location parameters).

snda

signature(x = "IdtGenSNMANOVA"): Discriminant Analysis using maximum likelihood parameter estimates of SkewNormal mixtures assuming a general model (i.e., groups differ in all parameters).

snda

signature(x = "IdtGenNSNMANOVA"): Discriminant Analysis using maximum likelihood parameter estimates of SkewNormal mixtures assuming a general model (i.e., groups differ in all parameters).

Extends

Class LRTest, directly.

Author(s)

Pedro Duarte Silva <[e-mail]>
Paula Brito <mpbrito.fep.up.pt>

References

Brito, P., Duarte Silva, A. P. (2012): "Modelling Interval Data with Normal and Skew-Normal Distributions". Journal of Applied Statistics, Volume 39, Issue 1, 3-20.

See Also

MANOVA, lda, qda, snda, IData