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State the definition of factor independence in the context of factor analysis. Explain the key distinction between factors and mutually exclusive categories, and describe how an individual's score on one factor relates to their score on another.
Question: State the definition of factor independence in the context of factor analysis. Explain the key distinction between factors and mutually exclusive categories, and describe how an individual's score on one factor relates to their score on another.
Sample answer: Factor independence refers to the characteristic where identified factors in factor analysis operate independently of one another rather than functioning as mutually exclusive categories. Because of this independence, an individual's measurement on one factor has no bearing on and does not determine their measurement on another factor. For example, an individual who scores high on a factor representing extraversion could score either high or low on a separate conscientiousness factor.
Key points:
- Factors in factor analysis operate independently of one another.
- Factors do not function as mutually exclusive categories.
- An individual's score on one factor does not determine or predict their score on another factor.
Rubric: The response must explain that factors in factor analysis operate independently of one another and do not function as mutually exclusive categories. It must clarify that an individual's measurement on one factor does not determine or predict their measurement on a different factor, and provide a clear example demonstrating this independence.
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Research Methods in Psychology - 4th American Edition @ KPU
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