I'm having trouble rendering selectOneRadio values.

When I select the type of car the table does not show records the values of type 2(Rented).

Below is my codes

bean (beanListAction.java)

metod filter in class controller

public void filter() {
                    if (typeCar == null) typeCar= "F";
  cars = new ArrayList<Car>(carTests);

                    // Iterator the cars available by removing those who do not meet the filter
                    for (Iterator<Car> it = cars.iterator(); it.hasNext();) {
                              Car car = it.next();
                  else if (!StringUtils.isEmpty(typeCar) && (car.getCar() == null || !car.getCar().toLowerCase().startsWith(typeCar.toLowerCase())))
                                        it.remove();
                    }

model (Car.java)

//Method for setCar rendered
public void setCar(String car) {
                    if (car == null) {
                              car = "F";
                    } else {
                              this.car = car;
                    }
}

list.xml

<rich:extendedDataTable id="car" value="#{beanListAction.cars}" 
                                   var="car" rowClasses="line1, line2" selection="#{beanListAction.indexSelection}"
                                   rows="16" style="height:260px; width:580px;" selectionMode="single">

Type<br />
                             <h:selectOneRadio value="#{beanListAction.typeCar}" id="typeCar">
                             <f:selectItem itemLabel="Own" itemValue="F"/>
                             <f:selectItem itemLabel="Rented" itemValue="T"/>
                             </h:selectOneRadio>
                             </f:facet>
                             #{car.typeCar eq 'F' ? 'Own'  : 'Rented'}
                             </rich:column>

Part of what makes the rendering in dataTable
<rich:column styleClass="center" width="60px">
                                   <f:facet name="header">
                                       <a4j:commandButton action="#{beanListAction.filter}"
                                             image="/resources/img/update.png"
                                             render="car" execute="@form" />
                                   </f:facet>
  </rich:column>
</rich:extendedDataTable>

Someone could you help me?