You should assign value from your repeat-loop not from model value and no need to use {{}} for ng-value
so use ng-value="SurveyType.Name" instead of ng-value="{{surveyData.SurveyTypeName}}" so selected radio button value set to surveyData.SurveyTypeName.
If you want to select anyone by default you can assign value to surveyData.SurveyTypeName like $scope.surveyData={SurveyTypeName: 'second'} then that radio button shown as selected that has value second.
HTML:
<label ng-repeat="SurveyType in SurveyTypes">
<input type="radio" name="SurveyTypeName" ng-model="surveyData.SurveyTypeName" ng-value="SurveyType.Name" />
{{SurveyType.Name}}
</label>
PLUNKER DEMO
{{}}onng-value, tryng-value="surveyData.SurveyTypeName"