if there are no ceiling joists then a structural ridge beam or rafter ties located in the lower 1/3 of the attic space (between top plate & ridge) is needed or the rafter thrust will push out the tops of the load bearing walls, which in turn will cause the ridge to saddle (bow). A ceiling joist is a type of rafter tie. Don't take my word for it ..... from the 2009 International Residential Code, basis for most local building codes:
R802.3.1 Ceiling joist and rafter connections. Ceiling joists and rafters shall be nailed to each other in accordance with Table R802.5.1(9), and the rafter shall be nailed to the top wall plate in accordance with Table R602.3(1). Ceiling joists shall be continuous or securely joined in accordance with Table R802.5.1(9) where they meet over interior partitions and are nailed to adjacent rafters to provide a continuous tie across the building when such joists are parallel to the rafters.
Where ceiling joists are not connected to the rafters at the top wall plate, joists connected higher in the attic shall be installed as rafter ties, or rafter ties shall be installed to provide a continuous tie. Where ceiling joists are not parallel to rafters, rafter ties shall be installed. Rafter ties shall be a minimum of 2-inch by 4-inch (51 mm by 102 mm) (nominal), installed in accordance with the connection requirements in Table R802.5.1(9), or connections of equivalent capacities shall be provided. Where ceiling joists or rafter ties are not provided, the ridge formed by these rafters shall be supported by a wall or girder designed in accordance with accepted engineering practice.
Collar ties or ridge straps to resist wind uplift shall be connected in the upper third of the attic space in accordance with Table R602.3(1).
Collar ties shall be a minimum of 1-inch by 4-inch (25 mm by 102 mm) (nominal), spaced not more than 4 feet (1219 mm) on center.
cleverman you are correct when ceiling joists/rafter ties are installed you only need a nominal 1" ridge board who's height must equal the ends of the rafter cut as tension and compression forces are balanced eliminating rafter trust. Same as in an engineered truss roof.