The width of the TIPS should be around 1/2 an inch (give or take) [I like 3/8 better myself, but let's be safe for a first bow and chase performance on the next one.]
The width at the nocks should be whatever the width of the tips are minus two times the thickness of your bow string.
The THICKNESS of your tips depends upon your materials and your design, but in all probability it should be just enough to keep the last 4 - 6 inches of the tips from bending much at all when the bow is drawn.
EDIT to add - Length of the nocks is only as long as is necessary to keep the string from slipping over the end of the bow when it is drawn. Less is better. Excess weight out on the tips leads to hand shock and a slower bow.
I hope this helps...
OneBow