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| unit Unit2;
interface
uses
Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
Dialogs, StdCtrls, CheckLst, Math;
type
TForm2 = class(TForm)
Label1: TLabel;
Edit1: TEdit;
Label2: TLabel;
Edit2: TEdit;
Edit3: TEdit;
Label3: TLabel;
Label4: TLabel;
Label5: TLabel;
Label6: TLabel;
Label7: TLabel;
Edit4: TEdit;
Label8: TLabel;
Label9: TLabel;
Label10: TLabel;
Label11: TLabel;
Edit5: TEdit;
Edit6: TEdit;
Label12: TLabel;
Label14: TLabel;
Label15: TLabel;
Edit7: TEdit;
Edit8: TEdit;
Label13: TLabel;
Button1: TButton;
GroupBox1: TGroupBox;
Button2: TButton;
Label16: TLabel;
Label17: TLabel;
Label18: TLabel;
Label19: TLabel;
Label20: TLabel;
Label21: TLabel;
Edit9: TEdit;
Label22: TLabel;
Label23: TLabel;
Label24: TLabel;
Label25: TLabel;
Label26: TLabel;
Label27: TLabel;
Label28: TLabel;
Label29: TLabel;
Label30: TLabel;
Label31: TLabel;
Label32: TLabel;
Label33: TLabel;
Label34: TLabel;
Label35: TLabel;
Label36: TLabel;
Label37: TLabel;
Label38: TLabel;
Label39: TLabel;
procedure Button1Click(Sender: TObject);
procedure FormCreate(Sender: TObject);
procedure Button2Click(Sender: TObject);
private
{ Private declarations }
public
{ Public declarations }
end;
var
Form2: TForm2;
a: array [1..4] of Real;
i_: Integer;
implementation
uses Unit1;
{$R *.dfm}
function Exit_obj(u1:real;u2:real): real;
begin
Exit_obj:=a[1]+a[2]*u1+a[3]*u2+a[4]*u1*u2;
end;
function Pomeha(D:real): real;
var
m: real;
begin
m:=0;
Pomeha:=RandG(m,D);
end;
procedure TForm2.FormCreate(Sender: TObject);
begin
i_ := 1;
end;
procedure TForm2.Button2Click(Sender: TObject);
var i,j,l:Integer;
u:array[1..2] of Real;
experim_u:array[1..9,1..2] of Real;
delta_u:array[1..2] of Real;
Dh,sum,sig1,sig2,m_oz,h,fisher,f:Real;
matrix_plan:array[1..9,1..8] of Real;
y:array[1..9] of Real;
y_dop:array[1..9] of Real;
b:array[1..7] of Real;
a_ots:array[1..7] of Real;
begin
// Считывание данных с клавиатуры
a[1]:=StrToFloat(Edit1.Text);
a[2]:=StrToFloat(Edit2.Text);
a[3]:=StrToFloat(Edit3.Text);
a[4]:=StrToFloat(Edit9.Text);
u[1]:=StrToFloat(Edit7.Text);
u[2]:=StrToFloat(Edit8.Text);
Dh:=StrToFloat(Edit4.Text);
delta_u[1]:=StrToFloat(Edit5.Text);
delta_u[2]:=StrToFloat(Edit6.Text);
matrix_plan[1,1]:=1; matrix_plan[1,2]:=1; matrix_plan[1,3]:=1; matrix_plan[1,4]:=1; matrix_plan[1,5]:=1; matrix_plan[1,6]:=1; matrix_plan[1,7]:=0.333; matrix_plan[1,8]:=0.333;
matrix_plan[2,1]:=1; matrix_plan[2,2]:=-1; matrix_plan[2,3]:=1; matrix_plan[2,4]:=-1; matrix_plan[2,5]:=1; matrix_plan[2,6]:=1; matrix_plan[2,7]:=0.333; matrix_plan[2,8]:=0.333;
matrix_plan[3,1]:=1; matrix_plan[3,2]:=1; matrix_plan[3,3]:=-1; matrix_plan[3,4]:=-1; matrix_plan[3,5]:=1; matrix_plan[3,6]:=1; matrix_plan[3,7]:=0.333; matrix_plan[3,8]:=0.333;
matrix_plan[4,1]:=1; matrix_plan[4,2]:=-1; matrix_plan[4,3]:=-1; matrix_plan[4,4]:=1; matrix_plan[4,5]:=1; matrix_plan[4,6]:=1; matrix_plan[4,7]:=0.333; matrix_plan[4,8]:=0.333;
matrix_plan[5,1]:=1; matrix_plan[5,2]:=1; matrix_plan[5,3]:=0; matrix_plan[5,4]:=0; matrix_plan[5,5]:=1; matrix_plan[5,6]:=0; matrix_plan[5,7]:=0.333; matrix_plan[5,8]:=-0.666;
matrix_plan[6,1]:=1; matrix_plan[6,2]:=-1; matrix_plan[6,3]:=0; matrix_plan[6,4]:=0; matrix_plan[6,5]:=1; matrix_plan[6,6]:=0; matrix_plan[6,7]:=0.333; matrix_plan[6,8]:=-0.666;
matrix_plan[7,1]:=1; matrix_plan[7,2]:=0; matrix_plan[7,3]:=1; matrix_plan[7,4]:=0; matrix_plan[7,5]:=0; matrix_plan[7,6]:=1; matrix_plan[7,7]:=-0.666; matrix_plan[7,8]:=0.333;
matrix_plan[8,1]:=1; matrix_plan[8,2]:=0; matrix_plan[8,3]:=-1; matrix_plan[8,4]:=0; matrix_plan[8,5]:=0; matrix_plan[8,6]:=1; matrix_plan[8,7]:=-0.666; matrix_plan[8,8]:=0.333;
matrix_plan[9,1]:=1; matrix_plan[9,2]:=0; matrix_plan[9,3]:=0; matrix_plan[9,4]:=0; matrix_plan[9,5]:=0; matrix_plan[9,6]:=0; matrix_plan[9,7]:=-0.666; matrix_plan[9,8]:=-0.666;
// Расчеты выхода модели
for i:=1 to 4 do begin
for j:=1 to 2 do begin
experim_u[i,j]:=(matrix_plan[i,j+1]*delta_u[j]+u[j]-u[j])/delta_u[j];
end;
y[i]:=Exit_obj(experim_u[i,1],experim_u[i,2])+Pomeha(Dh);
end;
// Расчеты параметров модели
sum:=0;
for j:=1 to 4 do begin
for i:=1 to 4 do begin
sum:=sum+matrix_plan[i,j]*y[i]
end;
b[j]:=sum/4;
sum:=0;
end;
a_ots[1]:=b[1];
a_ots[2]:=b[2]/delta_u[1];
a_ots[3]:=b[3]/delta_u[2];
a_ots[4]:=b[4]/(delta_u[1]*delta_u[2]);
// Оценка линейной модели
Label26.Caption:=FloatToStr(a_ots[1]);
Label27.Caption:=FloatToStr(a_ots[2]);
Label28.Caption:=FloatToStr(a_ots[3]);
Label29.Caption:=FloatToStr(a_ots[4]);
sig1:=0;
for i:=1 to 4 do begin
h:=y[i]-(a_ots[2]*experim_u[i,1]+a_ots[3]*experim_u[i,2]+a_ots[4]*experim_u[i,1]*experim_u[i,2]+a_ots[1]);
sig1:=sig1+sqr(h);
end;
//Находим мат.ожидание выхода модели
m_oz:=0;
for i:=1 to 4 do begin
y_dop[i]:=Exit_obj(u[1],u[2])+Pomeha(Dh);
m_oz:=m_oz+y_dop[i];
end;
m_oz:=m_oz/4;
// Находим дисперсию выхода модели
sig2:=0;
for i:=1 to 4 do begin
sig2:=sig2+sqr(y_dop[i]-m_oz);
end;
sig2:=sig2/3;
f:=sig1/sig2;
fisher:=216;
if (f<=fisher) then begin
Label19.Caption:='Линейная модель адекватна';
end
else begin
Label19.Caption:='Линейная модель неадекватна';
end;
// 2.Расчеты для неполной квадратичной модели
// Расчеты выхода модели
m_oz:=0;
for i:=1 to 9 do begin
for j:=1 to 2 do begin
experim_u[i,j]:=(matrix_plan[i,j+1]*delta_u[j]+u[j]-u[j])/delta_u[j];
end;
y[i]:=Exit_obj(experim_u[i,1],experim_u[i,2])+Pomeha(Dh);
y_dop[i]:=Exit_obj(u[1],u[2])+Pomeha(Dh);
m_oz:=m_oz+y_dop[i];
end;
m_oz:=m_oz/9;
// Расчеты параметров модели
sum:=0;
for j:=1 to 6 do begin
for i:=1 to 9 do begin
sum:=sum+matrix_plan[i,j]*y[i]
end;
b[j]:=sum/9;
sum:=0;
end;
a_ots[1]:=b[1];a_ots[2]:=b[2]/delta_u[1];a_ots[3]:=b[3]/delta_u[2];a_ots[4]:=b[4]/(delta_u[1]*delta_u[2]);a_ots[5]:=b[5]/(delta_u[1]*delta_u[1]);
a_ots[6]:=b[6]/(delta_u[2]*delta_u[2]);
// Оценка линейной модели
//Квадратичная
Label34.Caption:=FloatToStr(a_ots[1]);
Label35.Caption:=FloatToStr(a_ots[2]);
Label36.Caption:=FloatToStr(a_ots[3]);
Label37.Caption:=FloatToStr(a_ots[4]);
Label38.Caption:=FloatToStr(a_ots[5]);
Label39.Caption:=FloatToStr(a_ots[6]);
sig1:=0;
for i:=1 to 9 do begin
h:=y[i]-(a_ots[2]*experim_u[i,1]+a_ots[3]*experim_u[i,2]+a_ots[4]*experim_u[i,1]*experim_u[i,2]+a_ots[5]*sqr(experim_u[i,1])+a_ots[6]*sqr(experim_u[i,2])+a_ots[1]);
sig1:=sig1+sqr(h);
end;
sig1:=sig1/6;
// Находим дисперсию выхода модели
sig2:=0;
for i:=1 to 9 do begin
sig2:=sig2+sqr(y_dop[i]-m_oz);
end;
sig2:=sig2/8;
f:=sig1/sig2;
fisher:=19.4;
if (f<=fisher) then begin
Label20.Caption:='Квадратичная модель адекватна';
end
else begin
Label20.Caption:='Квадратичная модель неадекватна';
end;
i_:=i_+1;
end;
procedure TForm2.Button1Click(Sender: TObject);
begin
close();
end;
end. |
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