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A00-240 · Question #2

The following LOGISTIC procedure output analyzes the relationship between a binary response and an ordinal predictor variable, wrist_size Using reference cell coding, the analyst selects Large (L) as

The correct answer is D. -1.0415. In reference cell coding, the intercept is the estimated logit for the reference category - here, Large. No additional terms are added because Large has no indicator coefficient in the model, making D (-1.0415) the direct and complete answer. Why the distractors fail: A (0.0819)

Logistic Regression

Question

The following LOGISTIC procedure output analyzes the relationship between a binary response and an ordinal predictor variable, wrist_size Using reference cell coding, the analyst selects Large (L) as the reference level. Analysis of Maximum Likelihood Estimates Parameter DF Estimate Standard Error Wald Chi-Square Pr > ChiSq intercept 1 -1.0415 0.4749 4.8101 0.0283 wrist_size M 1 1.1234 0.4969 5.0697 0.0243 wrist_size S 1 1.6078 0.5478 8.6133 0.0033 What is the estimated logit for a person with large wrist size? Click the calculator button to display a calculator if needed.

Options

  • A0.0819
  • B0.5663
  • C-3.7727
  • D-1.0415

How the community answered

(40 responses)
  • B
    5% (2)
  • C
    3% (1)
  • D
    93% (37)

Explanation

In reference cell coding, the intercept is the estimated logit for the reference category - here, Large. No additional terms are added because Large has no indicator coefficient in the model, making D (-1.0415) the direct and complete answer.

Why the distractors fail:

  • A (0.0819) is the logit for Medium: -1.0415 + 1.1234 = 0.0819 - a common trap if you confuse which category is the reference.
  • B (0.5663) is the logit for Small: -1.0415 + 1.6078 = 0.5663 - same error, wrong group.
  • C (-3.7727) results from nonsensically summing all three estimates (intercept + M + S coefficients), which has no statistical meaning.

Memory tip: Think of the reference level as "getting nothing extra" - it takes only the intercept, while all other levels add their coefficient on top. If you can remember "reference = intercept only," you'll never chase phantom terms for the baseline group.

Topics

#Logistic Regression#Reference Cell Coding#Logit Estimation#Parameter Interpretation

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