<?php
if(isset($_POST['send'])){
    $RadioGroup1 = isset($_POST['RadioGroup1'])? $_POST['RadioGroup1'] : array();
}else{
    $RadioGroup1 = array();
}
?>
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
 <head>
  <meta http-equiv="content" content="text/html;charset=utf-8">
  <title> New Document </title>
 </head> <body>
<form name="form1" method="post" action="test.php">
A<input  type="checkbox" id="check1"  name="RadioGroup1[]" value="A" <?php if(in_array("A", $RadioGroup1)){?>checked="checked"<? } ?> />
B<input  type="checkbox" id="check1"  name="RadioGroup1[]" value="B" <?php if(in_array("B", $RadioGroup1)){?>checked="checked"<? } ?> />
C<input  type="checkbox" id="check1"  name="RadioGroup1[]" value="C" <?php if(in_array("C", $RadioGroup1)){?>checked="checked"<? } ?> />
D<input  type="checkbox" id="check1"  name="RadioGroup1[]" value="D" <?php if(in_array("D", $RadioGroup1)){?>checked="checked"<? } ?> />
    <input type="submit" name="b1" >
    <input type="hidden" name="send" value="true">
</form>
 </body>
</html>