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        Psychology 407

        Assignment \#3


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Suppose we have a 50 question test and wish to investigate whether
the order of the fifty items makes any difference in the final
scores obtained.  Assume we assign 35 students at random to five
groups so that there are seven students in each.  We then select at
random 5 out of the 50! possible orderings of the test questions and
assign at random one of these orderings to each group.  The
dependent measure is the number of correct answers.  The data are as
follows:

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\begin{tabular}{cccccc}



Order: & 1  & 2 & 3 & 4 & 5 \\ [2ex] \hline


& 35  & 36 & 38 & 27 & 32 \\


 & 32 & 32 & 27 & 16 & 34 \\


& 41 & 34 & 23 & 40 & 26 \\


& 42  & 40 & 15 & 32 & 28 \\


& 31  & 37 & 29 & 36 & 23 \\


& 6  & 44 & 28 & 38 & 36 \\


& 35  & 42 & 33 & 22 & 28 \\ [2ex] \hline


Totals: & 252  & 265 & 183 & 211 & 207 \\

\end{tabular}

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Sum Squares Error: 1014.29

Sum Squares Treatments = 657.60

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i) Construct the appropriate ANOVA table based on Model II.

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ii) Estimate the components of variance and the intraclass
correlation coefficient.  What does this tell you?

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iii) Construct a 95\% confidence interval for $\rho_{I}$.




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