Tornado intensity

Tornadoes vary in intensity regardless of shape, size, and location, though strong tornadoes are typically larger than weak tornadoes. The association with track length and duration also varies, although longer track (and longer lived) tornadoes tend to be stronger. In the case of violent tornadoes, only a small portion of the path area is of violent intensity; most of the higher intensity is from subvortices. In the United States, 80% of tornadoes are EF0 and EF1 (T0 through T3) tornadoes. The rate of occurrence drops off quickly with increasing strength--less than 1% are violent tornadoes (EF4, T8 or stronger).

Is this statement correct "is the size of a tornado directly related to the intensity of the tornado"?
no