What question did this study set out to answer?

To compare exact likelihood functions against standard large-sample approximations and reported point estimates across published empirical datasets.

June 1, 1969Journal of the American Statistical Association

Examples of Likelihoods and Comparison with Point Estimates and Large Sample Approximations

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To compare exact likelihood functions against standard large-sample approximations and reported point estimates across published empirical datasets.
Examined exact likelihood functions for multiple data examples selected from scientific literature.
Compared exact likelihood profiles directly to asymptotic likelihoods derived from standard maximum likelihood theory and historical point estimates.
Large-sample approximations can generate misleading scientific inferences and require systematic validation against exact likelihood functions.
Conventional point estimates and their associated properties, such as bias and variance, can be uninformative or misleading relative to full likelihood curves.

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Implication

Methodological evaluation demonstrates that large-sample approximations and point estimates can mislead inferences in empirical data, highlighting the necessity of exact likelihood methods.

Cite This Study

Sprott et al. (1969) studied this question.

synapsesocial.com/papers/6a088b08280cd4e998e8c82e https://doi.org/10.1080/01621459.1969.10500988

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Implication

Methodological evaluation demonstrates that large-sample approximations and point estimates can mislead inferences in empirical data, highlighting the necessity of exact likelihood methods.

Examples of Likelihoods and Comparison with Point Estimates and Large Sample Approximations

Key Points

Discussion

Implication

Cite This Study

Examples of Likelihoods and Comparison with Point Estimates and Large Sample Approximations

Key Points

Discussion

Implication

Cite This Study

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