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Diagnose the two formatting errors in the student's correlation matrix based on APA guidelines, and explain how these errors compromise the primary function of a correlation matrix.
Case context: A student in a research methods course is drafting an APA-style correlation matrix for four variables: working memory, executive function, processing speed, and age. In their draft, they place the variables in the left column and top row. They enter '1.00' in all the diagonal cells. Furthermore, they fill out the entire table, displaying identical correlation coefficients in both the lower-left and upper-right halves of the matrix.
Question: Diagnose the two formatting errors in the student's correlation matrix based on APA guidelines, and explain how these errors compromise the primary function of a correlation matrix.
Sample answer: The two formatting errors are: first, the student filled the diagonal cells with the value '1.00' instead of dashes; second, they filled both the upper-right and lower-left halves of the table with duplicate correlation coefficients. These errors compromise the function of the correlation matrix because they introduce trivial data (perfect self-correlations of 1.00) and redundant data (mirrored correlation values), failing to present the Pearson's values concisely.
Key points:
- Diagnose that diagonal cells must use dashes, not '1.00'.
- Diagnose that the upper-right half of the matrix must be left blank.
- Explain that the student's current table format includes redundant, mirrored information.
- Explain that these conventions ensure the table concisely presents Pearson's values.
Rubric: The response must identify that diagonal cells should contain dashes rather than '1.00' and that the upper-right half must be left blank. It must also explain that these errors introduce redundant and trivial information, violating the goal of presenting results concisely.
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Research Methods in Psychology - 4th American Edition @ KPU
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