[state] How to Set/Update State of StatefulWidget from other StatefulWidget in Flutter?

I would like to extend Mohamed Elrashid answer, in case you require to pass a variable from the child widget to the parent widget

On child widget:

class ChildWidget extends StatefulWidget {
  final Function() notifyParent;
  ChildWidget({Key key, @required this.notifyParent}) : super(key: key);
}

On parent widget

void refresh(dynamic childValue) {
  setState(() {
    _parentVariable = childValue;
  });
}

On parent widget: pass the function above to the child widget

new ChildWidget( notifyParent: refresh ); 

On child widget: call the parent function with any variable from the the child widget

widget.notifyParent(childVariable);