Laravel: Form Data Binding - radio buttons

I have multi forms in one page each form related to question angle and has its own submit button, each question angle have 4 questions so the user can select one question for the question angle using radio buttons. I need to bind the data to the related field using Form data binding , all the other data is binding perfectly but the problem on the radio button .

Controller

$criteria_questions = ['criteria_id' => $criteriaId, 'sector_id' => $sector_id];
        $questions = CustomizeQuestion::where($criteria_questions)->get();
        $question_angles = $criteria->question_angle()->get();
/* check existing data */
        $check_data = ['organisation_id' => $organisation_id, 'customize_criteria_id' => $criteriaId];
        $exist_data = RatingDatum::where($check_data)->get();

View:

 @foreach($question_angles as $index=>$angle)
                                <div class="plan bg-plan">
                                    <h5>{{$angle->question_angle}}</h5>
                                    <hr>
    @foreach($exist_data as $datum)
                                            @if($datum->question_angle_id == $angle->id)
                                                {!! Form::model($datum,['method' => 'PATCH','action'=>['RatingDataController@update'],$datum->id]) !!}
                                            @endif
                                        @endforeach
                                        @foreach($questions as $question)
                                            @if($question->question_angle_id == $angle->id)
                                                <div class="radio">
                                                    <label>
                                                        {{var_dump($datum->customize_question_id)}}
                                                        {!! Form::radio('customize_question_id['.$index.']', $question->id, $datum->customize_question_id != null ? 'true' : 'false')!!}
                                                    {{$question->score}} {{$question->question}}
                                                    </label>
                                                </div>
                                            @endif
                                        @endforeach
                                        <div class="form-group">
                                            {!! Form::label('comment','Comment :') !!}
                                            {!! Form::textarea('comment' ,null,['class'=>'form-control', 'rows' => 4]) !!}

                                            {!! Form::label('reference','Reference:') !!}
                                            {!! Form::textarea('reference',null,['class'=>'form-control', 'rows' => 1]) !!}
                                        </div>
                                        {!! Form::submit('Submit Data', ['class' => 'btn btn-success submit']) !!}
                                        {!! Form::close() !!}
                                                <!--/.Plan -->
                                    </div>

dd($exist_data)

 0 => RatingDatum {#458 ▶}
    1 => RatingDatum {#457 ▼
      #table: "ratingdata"
      #fillable: array:10 [▶]
      +timestamps: true
      #connection: null
      #primaryKey: "id"
      #perPage: 15
      +incrementing: true
      #attributes: array:15 [▼
        "id" => 2
        "organisation_id" => 8
        "sector_id" => 1
        "country_id" => 1
        "dimension_id" => 12
        "question_angle_id" => 2
        "customize_criteria_id" => 33
        "customize_question_id" => 7651
        "question_weight" => 40
        "actual_score" => 30
        "value" => "The company has deployed significant measures to promote voluntary community initiatives, that include: "
        "comment" => "test"
        "reference" => "test"
        "created_at" => "2015-12-21 11:28:38"
        "updated_at" => "2015-12-21 12:22:25"
      ]

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