Restricting privileges for anonymous authentication in Firebase with Angular - firebase

Question

I am struggling with security rules in Firebase for anonymously authenticated users. I want users to be able to create, read, update, and delete their own projects using anonymous authentication. When I use the code below, Firebase denies permission to the database: Error: permission_denied: Client doesn't have permission to access the desired data.
Does my Angular code need to first create a users folder of some sort in Firebase even though I'm using anonymous authentication?
[EDIT: I've included my routes and some additional code in case it helps.]
Javascript:
myApp.factory('fbAuth', function($firebaseAuth, $firebase) {
var ref = new Firebase('https://xxxxxxxxxx.firebaseio.com');
var authData = ref.getAuth();
if (authData) {console.log('Authenticated user with uid:', authData.uid); } else {
ref.authAnonymously(function (error, authData) {
if (error) {
console.log('Login Failed!', error);
} else {
console.log('Authenticated successfully with payload:', authData);
}
});
}
return authData;
});
myApp.factory('Projects', function($firebase, fbURL) {
return $firebase(new Firebase(fbURL+'/projects')).$asArray();
});
myApp.factory('Selections', function($firebase, fbURL) {
return $firebase(new Firebase(fbURL+'/services')).$asArray();
});
myApp.controller('ProjectListCtrl', function ProjectListCtrl(Projects) {
var projectList = this;
projectList.projects = Projects;
projectList.total = function(){
var total = 0;
angular.forEach(projectList.projects, function(project) {
total += project.type.cost;
});
return total;
};
});
myApp.controller('SelectionListCtrl', function (Selections) {
var selectionList = this;
selectionList.selections = Selections;
this.selectedServices = Selections;
});
Routes:
myApp.config(function ($stateProvider, $urlRouterProvider) {
$urlRouterProvider.otherwise('/');
$stateProvider
.state('selection', {
url: '/',
views: {
'list': {
url: '',
templateUrl: 'views/list.html',
controller: 'ProjectListCtrl as projectList',
}
},
'selectionlist': {
templateUrl: 'views/selectionlist.html',
controller: 'SelectionListCtrl as selectionList',
}
})
Security Rules:
{
"rules": {
"projects": {
"$project_id" : {
"$uid": {
".read": "auth != null && auth.uid === $uid",
".write": "auth !=null && auth.uid === $uid" }
}
},
"$other": {".validate": false }
}
}
Firebase Data Structure
Root
- projects
+ -JiVDL4RUSladYTqqHl6
+ -JiVIdH8QIQ8o8q3iKvf
+ -JiYY44i6AOGzTjPDNVM