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FactorAnalysisMethod.cs
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FactorAnalysisMethod.cs
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using System;
using System.Collections.Generic;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Windows.Forms;
namespace testgistogr
{
class FactorAnalysisMethod
{
delegate double[] hFound(double[,] Alf, int w);
public TabPage DataTabPage;
private DataGridView DataGridView;
public InitialAnalysMultidimensionalData IAM;
public InitialAnalysMultidimensionalData IAMIndepended = null;
private List<InitialStatisticalAnalys> ML = new List<InitialStatisticalAnalys>();
private List<double[]> undolist = new List<double[]>();
private TreeView treeView1;
ContextMenuStrip ContextMenuStrip;
private System.Windows.Forms.ToolStripMenuItem BottomValueToolStripMenuItem;
private System.Windows.Forms.ToolStripTextBox MinimalDispers;
public FactorAnalysisMethod(InitialAnalysMultidimensionalData IAM,
ref List<InitialStatisticalAnalys> ML, ref List<double[]> undolist, ref TreeView treeView1)
{
this.IAM = IAM;
this.ML = ML;
this.undolist = undolist;
this.treeView1 = treeView1;
DataTabPage = TapPageCreate();
SetData();
}
private TabPage TapPageCreate()
{
DataGridView = new DataGridView()
{
Location = new Point(0, 0),
AllowUserToAddRows = false,
RowHeadersWidth = 60,
Width = 500,
Dock = DockStyle.Fill
};
//
// BottomValueToolStripMenuItem
//
this.BottomValueToolStripMenuItem = new System.Windows.Forms.ToolStripMenuItem()
{
Name = "BottomValueToolStripMenuItem",
Size = new System.Drawing.Size(223, 22),
Text = "Провести факторный аналіз"
};
this.BottomValueToolStripMenuItem.Click += new System.EventHandler(this.BottomValueToolStripMenuItem_Click);
this.MinimalDispers = new ToolStripTextBox()
{
Name = "DataVariable",
Text = "0"
};
//
// CorelContextMenuStrip
//
ContextMenuStrip = new ContextMenuStrip();
DataGridView.ContextMenuStrip = ContextMenuStrip;
this.BottomValueToolStripMenuItem.DropDownItems.AddRange(new ToolStripItem[]
{
this.MinimalDispers,
});
this.ContextMenuStrip.Items.AddRange(new System.Windows.Forms.ToolStripItem[] {
this.BottomValueToolStripMenuItem,
});
System.Windows.Forms.TabPage tabPagenew = new TabPage();
tabPagenew.Controls.Add(DataGridView);
tabPagenew.Location = new System.Drawing.Point(4, 22);
tabPagenew.Name = "tabPage3";
tabPagenew.Padding = new System.Windows.Forms.Padding(3);
tabPagenew.Size = new System.Drawing.Size(1005, 273);
tabPagenew.TabIndex = 0;
tabPagenew.Text = "Факторній аналіз";
tabPagenew.UseVisualStyleBackColor = true;
tabPagenew.ResumeLayout(false);
return tabPagenew;
}
private void BottomValueToolStripMenuItem_Click(object sender, EventArgs e)
{
AdditionalInformationForm AIF = new AdditionalInformationForm("Кількість факторів");
int DataVariable;
try
{
DataVariable = Convert.ToInt32(AIF.getString());
}
catch
{ return; }
double ee;
try { ee = Convert.ToDouble(MinimalDispers.Text); }
catch { ee = 1; }
int MinW = 0;
foreach (double val in IAM.eightvalue)
if (val > 1)
MinW++;
double[,] Xallstandart = new double[IAM.Xall.GetLength(0), IAM.Xall.GetLength(1)];
for (int i = 0; i < IAM.Xall.GetLength(0); i++)
for (int j = 0; j < IAM.Xall.GetLength(1); j++)
Xallstandart[i, j] = (IAM.Xall[i, j] - IAM.Ex[j]) / IAM.ISA[j].Gx.Q;
hFound hF = null;
double[] h;
double[] eightvalue;
double[,] eightvector;
Matrix.OwnVectors(IAM.K, out eightvalue, out eightvector);
Matrix.SortEighten(ref eightvalue, ref eightvector);
int w = MinW;
if (indexMinfFound(eightvector, w) == 0)
hF += HSquareFound;
else
hF += HSquareMaxFound;
h = hF(eightvector, w);
double[,] Rh = SetRh(IAM.K, h);
double[,] Rzal = RzalFound(Rh, eightvector);
double f = fFound(Rzal, w);
double[,] eightvectorPrev = eightvector;
double fPrev = f;
int count = 0;
for (; count == 0 ||
AlfaCheck(eightvector, eightvectorPrev, ee)
&& f < fPrev && hCheck(h);
count++)
{
fPrev = f;
eightvectorPrev = eightvector;
Matrix.OwnVectors(Rh, out eightvalue, out eightvector);
Matrix.SortEighten(ref eightvalue, ref eightvector);
w = Math.Max(WFound(eightvalue), MinW);
h = hF(eightvector, w);
Rh = SetRh(IAM.K, h);
Rzal = RzalFound(Rh, eightvector);
f = fFound(Rzal, w);
}
int MaxGroup = -1;
for (int j = 0; j < ML.Count; j++)
MaxGroup = Math.Max(MaxGroup, ML[j].Group);
DataGridView.Rows.Clear();
SetData();
double[] Procent = new double[IAM.n];
for (int c = 0; c < IAM.n; c++)
{
for (int r = 0; r < w; r++)
Procent[c] += Math.Pow(eightvector[c, r], 2);
Procent[c] *= 100;
}
w = DataVariable;
SetFactro(eightvector, w);
}
private int indexMinfFound(double[,] eightvector, int w)
{
double[] farray = new double[2];
double[] h = HSquareFound(eightvector, w);
double[,] Rh = SetRh(IAM.K, h);
double[,] Rzal = RzalFound(Rh, eightvector);
double f = fFound(Rzal, w);
farray[0] = f;
h = HSquareMaxFound(eightvector, w);
Rh = SetRh(IAM.K, h);
Rzal = RzalFound(Rh, eightvector);
farray[1] = fFound(Rzal, w);
return Array.IndexOf(farray, farray.Min());
}
private bool hCheck(double[] h)
{
foreach (double val in h)
if (val > 1)
return false;
return true;
}
private int WFound(double[] eightvalue)
{
double aver = eightvalue.Sum() / eightvalue.Length;
int w = 0;
for (int i = 0; i < eightvalue.Length; i++)
if (eightvalue[i] >= aver)
w++;
return w;
}
private double[,] SetRh(double[,] R, double[] h)
{
double[,] Rh = R.Clone() as double[,];
for (int i = 0; i < R.GetLength(0); i++)
Rh[i, i] = h[i];
return Rh;
}
private double[] HSquareMaxFound(double[,] Alf, int w)
{
double[] h = new double[Alf.GetLength(0)];
for (int k = 0; k < Alf.GetLength(0); k++)
for (int v = 0; v < w; v++)
h[k] += Math.Max(h[k],Math.Abs(Alf[v, k]));
return h;
}
private double[] HSquareFound(double[,] Alf, int w)
{
double[] h = new double[Alf.GetLength(0)];
for (int k = 0; k < Alf.GetLength(0); k++)
for (int v = 0; v < w; v++)
h[k] += Math.Pow(Alf[v, k], 2);
return h;
}
private double[,] RzalFound(double[,] R, double[,] A)
{
return Matrix.Abs(Matrix.Addition(R, Matrix.MultiplicNumber(Matrix.MultiplicMatrix(A, Matrix.TranspMatrix(A)), -1)));
}
private double fFound(double[,] Rzal, int w)
{
double result = 0;
for (int r = 0; r < w; r++)
for (int c = 0; c < w; c++)
if (r != c)
result += Math.Pow(Rzal[r, c], 2);
return result;
}
private bool AlfaCheck(double[,] AlfNext, double[,] AlfPrev, double e)
{
double temp = 0;
for (int k = 0; k < AlfNext.GetLength(0); k++)
for (int g = 0; g < AlfNext.GetLength(1); g++)
temp += Math.Pow(AlfNext[k, g] - AlfPrev[k, g], 2);
return temp > e;
}
private void SetData()
{
Matrix.OwnVectors(IAM.K, out IAM.eightvalue, out IAM.eightvector);
SortEighten(ref IAM.eightvalue, ref IAM.eightvector);
DataGridView.ColumnCount = IAM.n;/*
if (IAM.n > 2)
{*/
DataGridView.Rows.Add("Власні вектори");
DataGridView.Rows.Add(IAM.n);
for (int c = 0; c < IAM.n; c++)
{
DataGridView.Columns[c].HeaderText = "e" + (c + 1).ToString();
for (int r = 0; r < IAM.n; r++)
DataGridView[c, r + 1].Value = Math.Round(IAM.eightvector[r, c], 5).ToString();
}
DataGridView.Columns[0].Width = 130;
DataGridView.Rows.Add("Власні значення");
DataGridView.Rows.Add();
for (int c = 0; c < IAM.n; c++)
DataGridView[c, DataGridView.Rows.Count - 1].Value = Math.Round(IAM.eightvalue[c], 5).ToString();
DataGridView.Rows.Add("Відсоток дисперсії");
DataGridView.Rows.Add();
for (int c = 0; c < IAM.n; c++)
DataGridView[c, DataGridView.Rows.Count - 1].Value = Math.Round(IAM.eightvalue[c] / IAM.eightvalue.Sum(), 5).ToString();
}
private void SetFactro(double[,] eightvector, int w)
{
DataGridView.Rows.Clear();
SetData();
DataGridView.Rows.Add("Матриця факторного відображення");
for (int r = 0; r < IAM.n; r++)
{
DataGridView.Rows.Add();
for (int c = 0; c < w; c++)
DataGridView[c, DataGridView.Rows.Count - 1].Value = Math.Round(eightvector[r, c], 5).ToString();
}
}
private void SortEighten(ref double[] eightvalues, ref double[,] eightvectors)
{
int n = eightvalues.GetLength(0);
double[][] eightvectors1 = new double[n][];
for (int i = 0; i < n; i++)
{
eightvectors1[i] = new double[n];
for (int j = 0; j < n; j++)
eightvectors1[i][j] = eightvectors[j, i];
}
Array.Sort(eightvalues, eightvectors1);
Array.Reverse(eightvalues);
Array.Reverse(eightvectors1);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
eightvectors[i, j] = eightvectors1[j][i];
}
}
}
}