To conditionally install a certain file you need to use the Check parameter. You need to return True to the expression or function to install the item, False to skip. The example to your previous assignment is shown in the reference page I've linked in the previous sentence.
So to combine it with custom installation type radio buttons you've mentioned, you just need to make a function that will be assigned to the check and that will return its result depending on selected radio button.
[Setup]
AppName=My Program
AppVersion=1.5
DefaultDirName={pf}\My Program
[Files]
; these two items will be installed always
Source: "AAA.dll"; DestDir: "K:\Sounds"
Source: "BBB.obj"; DestDir: "K:\Sounds"
; these three items will be installed only when the IsFullInstallation
; function returns True, what will depend on the selected radio button
Source: "Game.exe"; DestDir: "C:\Games"; Check: IsFullInstallation;
Source: "Mapping.exe"; DestDir: "C:\Mapping"; Check: IsFullInstallation;
Source: "Pics.dll"; DestDir: "C:\Pics"; Check: IsFullInstallation;
[Code]    
const
  FullDescText =
    'Full installation. Files will be installed on drives "C:" and "K:"';
  PartDescText =
    'Partial installation. Files will be installed on drives "C:" and "K:"';
var
  FullRadioButton: TNewRadioButton;
  PartRadioButton: TNewRadioButton;
procedure InitializeWizard;
var
  CustomPage: TWizardPage;
  FullDescLabel: TLabel;
  PartDescLabel: TLabel;
begin
  CustomPage := CreateCustomPage(wpWelcome, 'Installation type', '');
  FullRadioButton := TNewRadioButton.Create(WizardForm);
  FullRadioButton.Parent := CustomPage.Surface;
  FullRadioButton.Checked := True;
  FullRadioButton.Top := 16;
  FullRadioButton.Width := CustomPage.SurfaceWidth;
  FullRadioButton.Font.Style := [fsBold];
  FullRadioButton.Font.Size := 9;
  FullRadioButton.Caption := 'Full Installation'
  FullDescLabel := TLabel.Create(WizardForm);
  FullDescLabel.Parent := CustomPage.Surface;
  FullDescLabel.Left := 8;
  FullDescLabel.Top := FullRadioButton.Top + FullRadioButton.Height + 8;
  FullDescLabel.Width := CustomPage.SurfaceWidth; 
  FullDescLabel.Height := 40;
  FullDescLabel.AutoSize := False;
  FullDescLabel.Wordwrap := True;
  FullDescLabel.Caption := FullDescText;
  PartRadioButton := TNewRadioButton.Create(WizardForm);
  PartRadioButton.Parent := CustomPage.Surface;
  PartRadioButton.Top := FullDescLabel.Top + FullDescLabel.Height + 16;
  PartRadioButton.Width := CustomPage.SurfaceWidth;
  PartRadioButton.Font.Style := [fsBold];
  PartRadioButton.Font.Size := 9;
  PartRadioButton.Caption := 'Partial Installation'
  PartDescLabel := TLabel.Create(WizardForm);
  PartDescLabel.Parent := CustomPage.Surface;
  PartDescLabel.Left := 8;
  PartDescLabel.Top := PartRadioButton.Top + PartRadioButton.Height + 8;
  PartDescLabel.Width := CustomPage.SurfaceWidth;
  PartDescLabel.Height := 40;
  PartDescLabel.AutoSize := False;
  PartDescLabel.Wordwrap := True;
  PartDescLabel.Caption := PartDescText;
end;
function IsFullInstallation: Boolean;
begin
  Result := FullRadioButton.Checked;
end;