push() is for arrays, not objects, so use the right data structure.

var data = [];
// ...
data[0] = { "ID": "1", "Status": "Valid" };
data[1] = { "ID": "2", "Status": "Invalid" };
// ...
var tempData = [];
for ( var index=0; index<data.length; index++ ) {
    if ( data[index].Status == "Valid" ) {
        tempData.push( data );
    }
}
data = tempData;