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US postdoc application with one-page research statement (no cover letter!) [psychology/linguistics]

For a one-year postdoc position (extendable up to three years) in psychology/linguistics in the US, I'm asked to submit a cv, two published works, and a one-page research statement (so, no cover letter). I am wondering if I should understand this research statement as a short "cover letter"-type of writing, including past experiences, future plans, and why these plans fit in this department, or should I only describe my plan for the research project that I would like to carry on during that time? Should I be really precise as to what and how I want to conduct research during that year?

Thank you!