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2014•Wiley StatsRef: Statistics Reference OnlineRequires access

Goodness of Fit for Categorical Variables

Alexander von Eye, G. Anne Bogat, Stefan Weber

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Abstract

Abstract The examination of frequency distributions of categorical variables often involves an evaluation of the appropriateness of probability models.Goodness‐of‐fitstatistics are suitable for this task. These statistics assess the discrepancy between the data and a probability model. Applications focus on (1) overall goodness‐of‐fit and (2) individual residuals. This entry describes the most frequently used goodness‐of‐fit statistics and presents an application in the context of logistic regression.

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What this paper is about

Abstract The examination of frequency distributions of categorical variables often involves an evaluation of the appropriateness of probability models.Goodness‐of‐fitstatistics are suitable for this task. These statistics assess the discrepancy between the data and a probability model. Applications focus on (1) overall goodness‐of‐fit and (2) individual residuals. This entry describes the most frequently used goodness‐of‐fit statistics and presents an application in the context of logistic regression.

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Available abstract

Abstract The examination of frequency distributions of categorical variables often involves an evaluation of the appropriateness of probability models.Goodness‐of‐fitstatistics are suitable for this task. These statistics assess the discrepancy between the data and a probability model. Applications focus on (1) overall goodness‐of‐fit and (2) individual residuals. This entry describes the most frequently used goodness‐of‐fit statistics and presents an application in the context of logistic regression.

Key concepts: Goodness of fit, Categorical variable, Statistics, Logistic regression, Context (archaeology), Mathematics, Econometrics, Probability distribution

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