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Barbara Carlson began their work experience in 1989 as a Service Fellow at the Agency for Healthcare Research and Quality. From 1989 to 1993, they held this role. In 1993, they transitioned to Mathematica where they worked as a Senior Statistician and Director of Survey Statistics. At Mathematica, they focused on public policy research studies in the fields of health care and early childhood education. Barbara conducted methodological research on surveys and directed survey projects. Barbara'srole at Mathematica began in November 1993 and there is no specified end date.

Barbara Carlson earned a Bachelor's degree in Mathematics (Statistics) from Boston University in 1983. Barbara later pursued a Master's degree in Mathematics (Statistics) at the same university, which they completed in 1984.