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system 10.5 of 04/10/2024,
©
FORESIGHT
ARMA: ISlARMA;
The ARMA property determines autoregression and moving average orders.
By default autoregression and moving average parameters are not defined.
To execute the example, add a link to the Stat system assembly.
Sub UserProc;
Var
test: SmWhiteHeteroskedasticityTest;
d0, d: Double;
res, i: Integer;
y, x, y1, y2: Array[29] Of Double;
v: Array Of Double;
ARorder: Array Of Integer;
Begin
test := New SmWhiteHeteroskedasticityTest.Create;
// values y, x, y1, y2
y[00] := 6209; x[00] := 4110; y1[00] := 3415; y2[00] := 2822;
y[01] := 6385; x[01] := 4280; y1[01] := 3673; y2[01] := 3023;
y[02] := 6752; x[02] := 4459; y1[02] := 4013; y2[02] := 3131;
y[03] := 6837; x[03] := 4545; y1[03] := 4278; y2[03] := 3351;
y[04] := 6495; x[04] := 4664; y1[04] := 4577; y2[04] := 3463;
y[05] := 6907; x[05] := 4861; y1[05] := 5135; y2[05] := 3686;
y[06] := 7349; x[06] := 5195; y1[06] := 5388; y2[06] := 3815;
y[07] := 7213; x[07] := 5389; y1[07] := 5610; y2[07] := 3960;
y[08] := 7061; x[08] := 5463; y1[08] := 5787; y2[08] := 4119;
y[09] := 7180; x[09] := 5610; y1[09] := 6181; y2[09] := 4351;
y[10] := 7132; x[10] := 5948; y1[10] := 6633; y2[10] := 4641;
y[11] := 7137; x[11] := 6218; y1[11] := 6910; y2[11] := 5008;
y[12] := 7473; x[12] := 6521; y1[12] := 7146; y2[12] := 5305;
y[13] := 7722; x[13] := 6788; y1[13] := 7248; y2[13] := 5611;
y[14] := 8088; x[14] := 7222; y1[14] := 7689; y2[14] := 5693;
y[15] := 8516; x[15] := 7486; y1[15] := 8046; y2[15] := 5804;
y[16] := 8941; x[16] := 7832; y1[16] := 8143; y2[16] := 6121;
y[17] := 9064; x[17] := 8153; y1[17] := 8064; y2[17] := 6546;
y[18] := 9380; x[18] := 8468; y1[18] := 8556; y2[18] := 6918;
y[19] := 9746; x[19] := 9054; y1[19] := 9177; y2[19] := 7349;
y[20] := 9907; x[20] := 9499; y1[20] := 9705; y2[20] := 7769;
y[21] := 10333; x[21] := 9866; y1[21] := 9923; y2[21] := 7809;
y[22] := 10863; x[22] := 10217; y1[22] := 10268; y2[22] := 7951;
y[23] := 11693; x[23] := 10763; y1[23] := 10681; y2[23] := 8395;
y[24] := 12242; x[24] := 10683; y1[24] := 10448; y2[24] := 8653;
y[25] := 12227; x[25] := 10494; y1[25] := 10366; y2[25] := 8304;
y[26] := 12910; x[26] := 10938; y1[26] := 10958; y2[26] := 8809;
y[27] := 13049; x[27] := 11198; y1[27] := 11292; y2[27] := 9028;
y[28] := 13384; x[28] := 11546; y1[28] := 11726; y2[28] := 9314;
test.Explained.Value := y;
test.Explanatories.Add.Value := x;
test.Explanatories.Add.Value := y1;
test.Explanatories.Add.Value := y2;
test.ModelCoefficients.Intercept.Mode := InterceptMode.AutoEstimate;
test.ModelPeriod.FirstPoint := 1;
test.ModelPeriod.LastPoint := 29;
test.MissingData.Method := MissingDataMethod.SampleAverage;
test.CrossProduction := True;
AROrder := New integer[1];
AROrder[0] := 4;
test.ARMA.OrderAR := ARorder;
res := test.Execute;
If res <> 0 Then
Debug.WriteLine(test.Errors);
Else
Debug.WriteLine("=== Chi-square test ===");
d0 := test.ChiTest.Statistic;
Debug.WriteLine("value: " + d0.ToString);
d0 := test.ChiTest.Probability;
Debug.WriteLine("probability: " + d0.ToString);
Debug.WriteLine("== Auxiliary model coefficients ==");
v := test.ModelCoefficients.Coefficients.Estimate;
For i := 0 To v.Length - 1 Do
d := v[i];
Debug.WriteLine(i.ToString + ", " + d.ToString);
End For;
Debug.WriteLine("== Constant ==");
d := test.ModelCoefficients.Intercept.Estimate;
Debug.WriteLine(d.ToString);
End If;
End Sub UserProc;
After executing the example console window displays results of test calculation taking into account selected autoregression:
=== Chi-square test ===
value: 14.863556241971898
probability: 0.094752683108926344
== Auxiliary model coefficients ==
0, -2047.8219148824237
1, -1.8183891124642606
2, 1.6177117723168264
3, 2.771300938164003
4, 42.870400877127082
5, 0.040252006347645655
6, -2.1441961041098123
7, 1882.2769152088426
8, -0.488043514966221
== Constant ==
2150720.8383350251
See also:
ISmWhiteHeteroskedasticityTest