TMtxAnova Class — Dew Stats

public class TMtxAnova : TMtxComponent

Visual representation of One and Two way ANOVA.

Encapsulates one and two way analysis of variance (ANOVA) routines. The assumptions of the one and two-way analysis of variance are:

The data are continuous (not discrete).
The data follow the normal probability distribution. Each group is normally distributed about the group mean.
The variances of the populations are equal.
The groups are independent. There is no relationship among the individuals in one group as compared to another.
Each group is a simple random sample from its population. Each individual in the population has an equal probability of being selected in the sample.

How to use TMtxAnova component?

Drop a TMtxAnova component on the form.
Define if you'll do a one-way or two-way ANOVA (the IsAnova1 property).
If you'll be doing the two-way ANOVA, define the number of replications per "cell" (the Dew.Stats.TMtxAnova.Replications property).
Define the data you wish to analyze. Depending on IsAnova1 and Replications properties Data matrix can be interpreted in different ways.
Define the default number format for ANOVA table - the Dew.Stats.TMtxAnova.FmtString property. Default value is '0.0000'.
Define (optional) the ResultDest TStringGrid. TMtxAnova results will be outputted to a ResultDest string grid.
Perform ANOVA by calling the Dew.Stats.TMtxAnova.Recalc method.

Results:

If you specified ResultDest then the standard ANOVA table will be written to ResultDest string grid. If ResultDest is nil, you can still use WriteResultToGrid or WriteResultToStrings methods to output ANOVA table to a TStringGrid or TStrings.
Dew.Stats.TMtxAnova.P returns the significance probability of null hypothesis that means are equal. If P is less than desired significance Dew.Stats.TMtxAnova.Alpha then the result suggests, the null hypothesis (means are equal) can be rejected.

Examples

csharp

using Dew.Stats.Units;
using Dew.Stats;
using Dew.Math;
namespace Dew.Examples
{
    private void Example()
    {
        TMtxAnova an1 = new TMtxAnova(this);
        try
        {
            an1.Data.SetIt(6, 2, false, new double[] { 1, 2,
                2, 3,
                5, 7,
                12, 1,
                5, 8,
                3, 8 });
            an1.IsAnova1 = false; // do two-way ANOVA
            an1.Replications = 3; // three rows per "group"
                // output ANOVA table to grid1
            an1.Recalc();
            double aresult = an1.Anova2Res.FCrit;
        }
        finally
        {
            an1.Free();
        }
    }
}

Properties

Name	Type	Description
Alpha	Double	Desired significance probability.
Anova1Res	TANOVA1Result	Results of the one way ANOVA.
Anova2Res	TANOVA2Result	Results of the two way ANOVA.
AutoUpdate	Boolean	If true then changing any of the TMtxAnova properties will trigger the Dew.Stats.TMtxAnova.Recalc method.
BlockAssign	Boolean	Block streaming of specific properties when storing only a "template".
Data	TMtx	Data for ANOVA.
Dirty	Boolean	When any of the TMtxANOVA properties changes, this property is automatically set to true.
EditorActive	Boolean	Returns True, if the component editor is displayed.
FmtString	String	Numeric format for ANOVA table cells.
IsAnova1	Boolean	One or two-way ANOVA.
P	Double	Calculated significance probability of null hypothesis.
Reference	TReferenceList	Stores a list of components that have to be notified, when this component is destroyed.
Replications	Int32	Number of observations per data matrix "cell".

Methods

Name	Description
AllowStreaming	Returns the negatated value of BlockAssign.
Assign	Assign values of all published properties from Source.
AssignTemplate	Assign values of "template-like" published properties from Source.
EditorClass	To be overriden in descendanr classses.
LoadFromStream	Load the component from Src stream.
LoadTemplateFromFile	Load a template from file.
LoadTemplateFromStream	Load a template from stream.
Recalc	Triggers ANOVA recalculation.
Reset	Reset is called after loading the data from stream or file.
SaveTemplateToFile	Save template to file.
SaveTemplateToStream	Save template to stream.
SaveToStream	Save the component to Dst stream.