It also found that drivers under 25 years old are four times more likely to use a cellphone while driving compared to older drivers.
Unaccompanied drivers were also far more likely to use their cellphones than those who had other people in the car, according to the study published in Preventive Medicine Reports.
"The data show us that females and younger drivers are most likely to use the phone while driving, which means that public safety campaigns could benefit from targeting those two groups," said R. Sue Day from the University of Texas, Houston.
Cellphone use overall seemed to decrease over the years in Texas, starting at 20.5 percent in 2011 and dropping to 16.4 percent in 2013, according to the study.
The 2010 national prevalence estimate for using a cellphone while driving was nearly 9 percent, as reported by the National Highway Traffic Safety Administration.
Drivers talking on the phone while driving decreased by 5.5 percent, but texting while driving increased by two percent from 2011 and 2013, according to the study results.
"Drivers distracted by cellphones pose a safety threat to pedestrians and motorists in these areas," Day said.