Before you get started, make sure you have all the requirements available: server space at a hosting provider, domain name, FTP client, text editor. Makes sure to follow the instructions in the "What you need to get started" page first: http://doc.prestashop.com/display/PS17/What+you+need+to+get+started.
Our official web hosting partner 1&1 IONOS offer a 1-click install in order to save you time and get you started even faster. Using these can drastically reduce the installation time for inexperienced users.
Those web hosts mostly use the following script libraries:
Some of these scripts even support 1-click update, which is invaluable.
Other hosts have their own installation scripts. Check with your own host for more information.