Android, make useful ListView with "Select all", "Select none" and "Reverse selection" actions

I just making some useful ListView with ListView.CHOICE_MODE_MULTIPLE mode and next "Select all", "Select none" and "Reverse selection" actions based on this example. I hung on select_all action here:

public void select_all(){
    if( mListView == null ){ return; }
    int len = mListView.getCount();
    if( mListView.getChoiceMode() == ListView.CHOICE_MODE_MULTIPLE ) {
        for (int i = 0; i < len; i++) {
            mListView.setItemChecked(i, true);
        }
    }
}

Seems, I properly set up CHOICE_MODE_MULTIPLE:

@Override
public View onCreateView(LayoutInflater inflater, ViewGroup container,
                         Bundle savedInstanceState) {

    mListView = (AbsListView) view.findViewById(android.R.id.list);
    ((AdapterView<ListAdapter>) mListView).setAdapter(mAdapter);

    mListView.setChoiceMode(ListView.CHOICE_MODE_MULTIPLE);

    return view;
}

Manually, from touch screen I could select several items, but when I make select_all, iteration works, but just last item selected on the screen, all others checked off (behaviour looks like a radio buttons on iteration!).

Needs any advice, plz!