When you have a checkbox, not necessary that just 'ture' & 'false', you might have 'yes', 'no', '1', '0':
There is how to use ng-true-value and ng-false-value with ng-checked for checkbox:
<input type="checkbox" ng-model="checkbox" ng-true-value="1" ng-false-value="0" ng-checked="checkbox == 1" />
$scope.$watch(function(){ return $scope.checkbox; }, function(){ $scope.checkbox = Number($scope.checkbox); console.log($scope.checkbox, typeof $scope.checkbox); },true);