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Chunk #25 — Considerations Regarding Re-Parameterized Models — Strengths and Weaknesses of Re-parameterized Equations

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Distinguishing ordinal and disordinal interactions.
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the interaction being characterized as ordinal. Scenarios (b) and (c) are more problematic for interpretation. Under (b), one might conclude that the interaction is disordinal in the sample, but an ordinal interaction in the population cannot be rejected. In turn, (c) might be rendered as an ordinal interaction in the sample, but a disordinal interaction in the population cannot be rejected. Note that these complications arise only with consideration of the CI of Ĉ. If a researcher used Equation 1 or 2 and calculated only the point estimate of Ĉ, the result would be an overly simplified interpretation of the ordinal or disordinal nature of the interaction.