Regression Analysis: Selections vs MO Rank

Does division membership significantly affect MO rank after controlling for Selections placement?

Model Summary

OLS Regression: MO Rank = Intercept + β1(Selections Rank) + β2..n(Division Dummies)

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Selections Rank vs MNRL Rank by Division

Each dot is an athlete matched between Selections and MNRL. Lines show division-specific predicted MNRL rank. Points below the line are overranked (favored by MNRL); points above are underranked (penalized).

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Regression Coefficients

Statistical significance at p < 0.05. Reference division shown in model summary.

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Marginal Division Impact on MNRL Rank

How many MNRL rank positions better (+) or worse (−) an athlete is expected to be relative to the reference division, holding Selections placement constant.

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Division Bias Visualization

Marginal impact of division on MNRL rank relative to the reference division. Negative = overranked by MNRL (favored); Positive = underranked (penalized). 95% confidence intervals shown.

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Interpretation

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