AngularJS using bootstrap's JS

If you want to use bootstrap with Angular's directive way, use UI Bootstrap. I predict, you want some function will be called when the button is clicked? Try not to use Bootstrap's way, use Angular's way. That is ng-click. For example in your HTML code:

<label class="btn btn-primary">
     <input type="radio" value="one" ng-model="myData[$index].number" ng-click="call(myData[$index].number)"> one
</label>

And your controller's scope should be some kind of:

.controller('myCtrl', function ($scope) {
  $scope.myData = [*your array here*];
  $scope.call = function(param){
    console.log(param); //your 'myData' index should be printed in console, for example
  };
})

Also, your way to create a list of input can be more efficient if using ng-repeat, just like:

<!-- content is inside of 'myCtrl' scope -->
<div class="btn-group" data-toggle="buttons" ng-bind="Example.radioGroup">
    <label class="btn btn-primary" ng-repeat="n in radioGroup">
         <input type="radio" value="{{n.number}}" ng-model="n.number"> {{n.text}}
    </label>
</div>

Assume if your model has 'number' and 'text' attribute, replace it with what's existing in your radioGroup model to show your data in front-end. But if you never use ng-repeat and won't use it now, it can be enhanced later.

I've run into thus before also. What you need to do is use a .factory() recipe thats' appropriate to store your model data, and bind things accordingly in your scope... whether that be a directive or a controller.

Then in your markup, you bind things using ng-bind if you arent already natively within the scope of a controller or directive.

   <!-- content is inside of 'myCtrl' scope -->
    <div class="btn-group" data-toggle="buttons" ng-bind="Example.radioGroup">
        <label class="btn btn-primary">
             <input type="radio" value="one" ng-model="radioGroup[$index].number"> one
        </label>    
        <label class="btn btn-primary">
            <input type="radio" value="two" ng-model="radioGroup[$index].number"> two                                                            
        </label>    
    </div>

Make sure to inject your factory into your scope. Here's an example of one such factory:

myApp.factory('radioFactory', function(){
   return {
       radioGroup: {
           number:["one","two"]
       }
    }
})

myApp.controller ('myCtrl', function($scope,radioFactory){
    $ scope.Example = radioFactory;
})