TRUE OR FALSE: Chang and Lauderdale statistically interact poverty income ratio with survey year in order to test whether relationships between income and cholesterol levels change over time.

Question

BlackTom AI · Accepted Answer

The statement asks whether Chang and Lauderdale statistically interact poverty income ratio with survey year in order to test whether relationships between income and cholesterol levels change over time.
First, consider what an interaction term in a regression model represents: including an interaction between PIR (poverty income ratio) and survey year allows the effect (slope) of PIR on cholesterol to vary across different years. If the interaction is significant, it indicates that the association between income and cholesterol changes over time rather than remaining constant.
Next, evaluate the purpose described in the statement: using PIR × year interaction precisely matches the goal of testing whether the income–cholesterol relationship evolves as time progresses. This is a standard approach in longitudinal or repeated cross-sectional analyses to assess temporal changes in associations.
From a methodological standpoint, testing for interaction with year is appropriate when one wants to determine if trends differ across survey waves, controlling for other factors as needed. The wording does not suggest any alternative method that would be more suitable for detecting changes over time, such as testing the main effect of year alone or using separate models for each year without interaction.
Therefore, the core idea—including an interaction term between PIR and survey year to assess changes in the income–cholesterol relationship over time—is conceptually sound and aligns with common statistical practice in time-varying association analyses.
If there were any caveats, they would relate to model specification (e.g., ensuring adequate sample size within years, center PIR to reduce multicollinearity, or considering nonlinear time effects). However, these considerations do not negate the validity of the stated approach; they merely inform proper implementation.
In summary, the statement correctly describes a valid analytic strategy: testing the interaction between poverty income ratio and survey year to determine if the income–cholesterol relationship changes over time.

TRUE OR FALSE: Chang and Lauderdale statistically interact poverty income ratio with survey year in order to test whether relationships between income and cholesterol levels change over time.单项选择题

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