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This exercise focuses on estimating the true correlations between items B37, B38, and B39 in the context of measurement error. Given the observed correlations of 0.439 between B37 and B38, 0.441 between B37 and B39, and 0.470 between B38 and B39, we will correct these values for measurement error using the formula provided. Additionally, we will tackle an extra assignment concerning items B5 and B7, where an observed correlation of 0.551 is given, and we need to determine the real correlation.
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Exercise • Find quality estimates for round 3 (Estonia) items B37, B38 and B39. • If observed correlations between B37 and B38 is .439; B37 and B39 is .441; B38 and B39 is .470; What would be true correlations, after correction for measurement error?
Exercise real ρ q=√q2 x y q1 q2 x1 y1 obs ρ obs ρ = q1 * real ρ * q2 real ρ = obs ρ / q1*q2 If x1 and y1 have same method, the method effect should also be taken into account!
Exercise • Extra assignment • B5 and B7 round 2 (Estonia) • If observed correlation is .551, what is the real correlation?