The X² Test for Small Expectations in Contingency Tables, With Special Reference to Accidents and Absenteeism

C. A. G. Nass

doi:10.1093/biomet/46.3-4.365

January 1, 1959Biometrika

The X² Test for Small Expectations in Contingency Tables, With Special Reference to Accidents and Absenteeism

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Key Points

Investigate the behavior and validity of the chi-square test in contingency tables when expected cell counts are small, particularly for modeling accident and absenteeism data.
Analyzed the distribution of the chi-square goodness-of-fit statistic under conditions where expected cell frequencies fall below traditional threshold rules.
Applied statistical adjustments to count data representing sparse distributions, such as occupational accidents and employee absenteeism rates.
Identified systematic deviations in standard chi-square probability estimates when cell expectations are low.
Demonstrated improved approximation methods to provide more reliable hypothesis testing for sparse count tables without requiring arbitrary cell pooling.

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Implication

Methodological analysis evaluates chi-square approximations in sparse contingency tables, improving statistical evaluations of workplace accidents and absenteeism.

Abstract

C. A. G. NASS; THE X2 TEST FOR SMALL EXPECTATIONS IN CONTINGENCY TABLES, WITH SPECIAL REFERENCE TO ACCIDENTS AND ABSENTEEISM, Biometrika, Volume 46, Issue 3-4,

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C. A. G. Nass (1959) studied this question.

synapsesocial.com/papers/6a8190732d53a9cb21b6bdf4 https://doi.org/10.1093/biomet/46.3-4.365

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The X² Test for Small Expectations in Contingency Tables, With Special Reference to Accidents and Absenteeism

Key Points

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Implication

Abstract

Discussion

Cite This Study

The X² Test for Small Expectations in Contingency Tables, With Special Reference to Accidents and Absenteeism

Key Points

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Implication

Abstract

Discussion

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