I am looking for a nice concise statistics book that summarizes how to do the experimental designs properly, and maybe some algorithms people in the field have discovered. What are the best books for this?
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A standard reference on psychometrics is Nunnally, J.C. & Bernstein, I. H. (1994). Psychometric Theory. New York: McGraw Hill. That's the third edition, the two previous ones had only Jum Nunnally as author (and some people apparently prefer them to the last one). It does contain some math but is not very technical, as far as psychometrics go.
You won't find much on the design of experiments it it, though. This is not really a topic I would put under the heading “psychometrics”.
A good resource that discusses the construction of psychological assessment instruments both from a psychometric perspective and from and experimental rationales is Explanatory Item Response Models (De Boeck & Wilson, 2004). The first two chapters should give a good introduction.