Since I didn't have the room required for a regulation-sized lane (it's nearly 78 feet from the start of the approach to the end of the lane on a regulation lane) I started working with scaling the lane down to a size that I could put in my basement.  Then I realized that the pins and balls have to be scaled to match whatever scale you are using or it will not work.  I decided to use half-scale dimensions for the lane and looked for exact half-scale pins and ball.  

I ran across an antique set of pins on Ebay in perfect shape, they were solid maple pins with 2 hand-turned solid wood balls.   They were slightly less than half-scale so I started to make all of my dimensions off of that.   The calculations weren't nearly as easy as just dividing everything in half.

Here is the original/concept pindeck and pins.  To match the scale of the ball and pins the lane is only about 18 3/4 inches wide.   The pindeck is 3/4" MDF with about 5 coats of polyurethane on it.

Below is the original game we played.   We used the 4 foot pindeck, attached to an 8 foot piece of 3/4" OSB flooring with a couple coats of polyurethane on it.  I even made a makeshift ball return.  My daughters and I had a lot of fun playing.