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. Author manuscript; available in PMC: 2015 Oct 1.
Published in final edited form as: Pers Individ Dif. 2014 Oct;69:98–103. doi: 10.1016/j.paid.2014.05.015
Xpio =
 μ grand mean
 + μp − μ person effect
 + μi − μ item effect
 + μo − μ occasion effect
 + μpi − μp − μi + μ person x item effect
 + μpo − μp − μo + μ person x occasion effect
 + μio − μi − μo + μ item x occasion effect
 + Xpio − μpi − μpo − μio + μp + μi + μo − μ residual