Based on the text's description of factor analysis in intelligence testing, explain how the statistical technique determines this clustering, predict which of the six tasks will group together into each cluster, and justify what labels the researcher should assign to each cluster.
Case context: A psychology researcher administers six cognitive tasks to a sample of participants: mental math, geometric rotation, numerical estimating, dictionary definitions, reading passages, and syntax checks. After running a factor analysis, the researcher observes that the six tasks split into two clear statistical clusters.
Question: Based on the text's description of factor analysis in intelligence testing, explain how the statistical technique determines this clustering, predict which of the six tasks will group together into each cluster, and justify what labels the researcher should assign to each cluster.
Sample answer: Factor analysis identifies patterns of correlations among tasks, grouping highly correlated tasks together because they share an underlying factor. The tasks of mental math, geometric rotation, and numerical estimating will group into one cluster, which should be labeled mathematical intelligence because they reflect quantitative reasoning. The tasks of dictionary definitions, reading passages, and syntax checks will group into another cluster, which should be labeled verbal intelligence because they reflect language-related abilities.
Key points:
- Factor analysis groups tasks based on statistical correlation or shared underlying variables.
- Mental math, geometric rotation, and numerical estimating group together to represent mathematical intelligence.
- Dictionary definitions, reading passages, and syntax checks group together to represent verbal intelligence.
Rubric: A successful response must: 1) Explain that clustering is based on statistical correlation or shared variance among the tasks. 2) Correctly assign the tasks (mental math, geometric rotation, and numeric estimating to one cluster; dictionary definitions, reading passages, and syntax checks to the other cluster). 3) Justify labeling the first cluster as mathematical intelligence and the second cluster as verbal intelligence based on their cognitive demands.
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Research Methods in Psychology - 4th American Edition @ KPU
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