I would just make put the variables in javascript with php and then use javascript functions.. no jquery or AJAX needed.
However you need to have a foreign key for subcategories no matter what.. ie – For every record in subcat table you need to give it a catid so for referencing…
<?php
$db = new mysqli('localhost','user','password','dbname');//set your database handler
$query = "SELECT id,cat FROM cat";
$result = $db->query($query);
while($row = $result->fetch_assoc()){
$categories[] = array("id" => $row['id'], "val" => $row['cat']);
}
$query = "SELECT id, catid, subcat FROM subcat";
$result = $db->query($query);
while($row = $result->fetch_assoc()){
$subcats[$row['catid']][] = array("id" => $row['id'], "val" => $row['subcat']);
}
$jsonCats = json_encode($categories);
$jsonSubCats = json_encode($subcats);
?>
<!docytpe html>
<html>
<head>
<script type="text/javascript">
<?php
echo "var categories = $jsonCats; \n";
echo "var subcats = $jsonSubCats; \n";
?>
function loadCategories(){
var select = document.getElementById("categoriesSelect");
select.onchange = updateSubCats;
for(var i = 0; i < categories.length; i++){
select.options[i] = new Option(categories[i].val,categories[i].id);
}
}
function updateSubCats(){
var catSelect = this;
var catid = this.value;
var subcatSelect = document.getElementById("subcatsSelect");
subcatSelect.options.length = 0; //delete all options if any present
for(var i = 0; i < subcats[catid].length; i++){
subcatSelect.options[i] = new Option(subcats[catid][i].val,subcats[catid][i].id);
}
}
</script>
</head>
<body onload='loadCategories()'>
<select id='categoriesSelect'>
</select>
<select id='subcatsSelect'>
</select>
</body>
</html>