I am having a lot of trouble figuring out the runs for a 2*3 4*4 survey design. From the following site, it is orthogonal at 16 runs, so I don't think I am trying to do something impossible.

http://neilsloane.com/doc/cent4.html

But for the life of me I can't figure out what the runs are. I've tried a bunch of different iterations but resultant regressions won't run properly because the parameters aren't set up properly. Any idea what I am doing wrong?

Below Brand/Price/HP and MPG have 4 possible values. Var1, Var2, and Var have 2.

Run Brand Price HP MPG Var1 Var2 Var3

1 Brand1 Price1 HP1 MPG1 Var1Off Var2Off Var3Off

2 Brand1 Price2 HP2 MPG2 Var1On Var2On Var3On

3 Brand1 Price3 HP3 MPG3 Var1Off Var2On Var3On

4 Brand1 Price4 HP4 MPG4 Var1On Var2Off Var3On

5 Brand2 Price1 HP2 MPG3 Var1On Var2On Var3Off

6 Brand2 Price2 HP1 MPG4 Var1Off Var2On Var3Off

7 Brand2 Price3 HP4 MPG1 Var1On Var2Off Var3On

8 Brand2 Price4 HP3 MPG2 Var1Off Var2Off Var3Off

9 Brand3 Price1 HP3 MPG4 Var1Off Var2On Var3On

10 Brand3 Price2 HP4 MPG3 Var1On Var2Off Var3Off

11 Brand3 Price3 HP1 MPG2 Var1Off Var2Off Var3Off

12 Brand3 Price4 HP2 MPG1 Var1On Var2On Var3Off

13 Brand4 Price1 HP4 MPG2 Var1On Var2Off Var3On

14 Brand4 Price2 HP3 MPG1 Var1Off Var2Off Var3On

15 Brand4 Price3 HP2 MPG4 Var1On Var2On Var3Off

16 Brand4 Price4 HP1 MPG3 Var1Off Var2On Var3On

I would greatly appreciate any help, I am going crazy trying to figure this out!