angularJs shift table item index to up or down

I have a table where I would like to change the order or rows by moving an item Up or Down. The element select here(T17180054) with index 3 should move up and have a new index of 2 and keep the selection preferably.

This is my HTML:

<table st-safe-src="flow3.dataSet" st-table="flow3.displayed" class="table table-striped">
    <thead>
        <tr>
            <th st-sort="method">Method</th>
            <th st-sort="sample">Sample</th>
            <th st-sort="parameters">Parameters</th>
        </tr>
    </thead>
    <tbody ui-sortable ng-model="flow3.displayed">
        <tr ng-repeat="row in flow3.displayed track by $index" style="cursor: move;" 
            ng-click="row.selected = !row.selected; flow3.selectRow($event, row, index)" 
            ng-class="{success: row.selected}">>
            <td>{{row.method.name}}</td>
            <td>{{row.sample}}</td>
            <td>
                <span ng-repeat="parameter in row.parameters">   
                    {{parameter.methodInputParameter.name}} : {{parameter.value}}<br/></span>
            </td>
            <td>
                <button type="button" ng-click="flow3.removeItem(row)"
                    class="btn btn-danger btn-sm btn-round pull-right"
                    ng-disabled="flow3.confirmDisabled">
                        <i class="glyphicon glyphicon-trash"></i>
                </button>
            </td>
        </tr>
    </tbody>
</table>

This is my two Up and Down buttons

<div class="row">
    <div class="col-xs-6">
        <div class="btn btn-info btn-lg btn-full-width">
            <span class="glyphicon glyphicon-menu-up" ng-click="flow3.moveItemUp();"></span> Up
        </div>
    </div>
    <div class="col-xs-6">
        <div class="btn btn-info btn-lg btn-full-width">
            <span class="glyphicon glyphicon-menu-down" ng-click="flow3.moveItemDown();"></span> Down
        </div>
    </div>
</div>

This is my JS : I have tried to use the splice method by I had wrong results each time. Is there a better alternative?

flow3.moveItemDown = function moveItemDown() {
    var index = flow3.dataSet.indexOf(flow3.selectedItem);

    if(index == 0) {
        return;
    } else {
        flow3.dataSet.splice(?, ?, ? , ?)
    }
}