Question: A test consisting of 15 open-answer items is given to 500 examinees. The responses are judged by four judges in a completely crossed design. The

A test consisting of 15 open-answer items is given to 500 examinees. The responses are judged by four judges in a completely crossed design. The mean squares from an ANOVA are given in the table below. Compute the variance components and the generalizability coefficient for 15 items and 4 judges.

Source of Variation Mean Square Source of Source of Mean Square (MS)

Source of Variation Mean Square Source of Source of Mean Square (MS) Variation (MS) Persons (p) 17.30 pj 0.80 Items (i) 1051.65 ij 45.65 Judges (j) 420.80 pij,e 0.65 pi 6.65

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