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Chunk #12 — Regression Equations with a Linear X Linear Interaction — Re-parameterized Equation — Derivation of re-parameterized model

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Distinguishing ordinal and disordinal interactions.
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As shown above, a point estimate of the cross-over point C is simple to compute using Equations 1 and 4 or Equations 2 and 6, but an interval estimate is more difficult to compute. Using Equation 10, the SE of Ĉ can be used to calculate an interval estimate (e.g., a 95% CI); estimation of SEs of parameters in Equations 1, 2, and 10 is discussed in supplemental material.3