What question did this study set out to answer?

To introduce a nonparametric binary regression technique that allows researchers to graphically plot probability estimates against an explanatory variable before fitting parametric models.

January 1, 1983Journal of the Royal Statistical Society Series C (Applied Statistics)

Plotting p against x

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Authors

JCJ. B. CopasUniversity of Warwick

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Implication

Methodological study presents a nonparametric smoothing method for binary response data, highlighting an effective graphical alternative to standard scatter diagrams for model assessment.

Key Points

To introduce a nonparametric binary regression technique that allows researchers to graphically plot probability estimates against an explanatory variable before fitting parametric models.
Designed a nonparametric binary regression smoothing method to generate exploratory plots analogous to scatter diagrams.
Addressed conditions where the independent variable is discrete with small sample sizes per value, as well as where the independent variable is continuous with distinct values across cases.
Demonstrated that standard scatter diagrams fail for binary response data, necessitating data smoothing to visualize meaningful probability trends.
Provided an empirical curve-smoothing framework to evaluate whether parametric models (such as logistic regression or polynomial splines) are appropriate prior to fitting.

Cite This Study

J. B. Copas (1983) studied this question.

synapsesocial.com/papers/6a93b3f8213a779dfe720cbe https://doi.org/10.2307/2348040

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Implication

Methodological study presents a nonparametric smoothing method for binary response data, highlighting an effective graphical alternative to standard scatter diagrams for model assessment.

Plotting p against x

Discussion

Member takes

Implication

Key Points

Cite This Study

Plotting p against x

Discussion

Member takes

Implication

Key Points

Cite This Study

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