What question did this study set out to answer?

To establish an optimal sequential sampling rule using Wald's minimax principle that balances data collection costs against the expected loss of selecting an inferior population.

July 1, 1957Journal of the Royal Statistical Society Series B (Statistical Methodology)

A Minimax Procedure for Choosing between Two Populations Using Sequential Sampling

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Authors

RMRita J. MauriceCentral Statistical Office

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Implication

Methodological study demonstrates reduced total loss using minimax sequential sampling between two populations, highlighting improved efficiency over fixed and double sampling designs.

Key Points

To establish an optimal sequential sampling rule using Wald's minimax principle that balances data collection costs against the expected loss of selecting an inferior population.
Applied Wald's (1950) minimax decision theory to select between two normal populations with sample means and known, equal variances.
Modeled the cost of choosing incorrectly as the difference between population means scaled by a utilization factor.
Compared the resulting sequential test against standard fixed sample size approaches and the Grundy et al. (1956) double-sampling method.
Derived a sequential sampling procedure defined by the ratio of the desired detectable difference to a probability function of detecting that difference.
Achieved lower expected losses across all values of mean differences compared to fixed sample size designs.
Demonstrated consistent improvements in overall loss reduction relative to the double-sampling procedure.

Cite This Study

Rita J. Maurice (1957) studied this question.

synapsesocial.com/papers/6a1c7ec84d97451bbd2fc5bd https://doi.org/10.1111/j.2517-6161.1957.tb00261.x

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Implication

Methodological study demonstrates reduced total loss using minimax sequential sampling between two populations, highlighting improved efficiency over fixed and double sampling designs.

A Minimax Procedure for Choosing between Two Populations Using Sequential Sampling

Discussion

Member takes

Implication

Key Points

Cite This Study

A Minimax Procedure for Choosing between Two Populations Using Sequential Sampling

Discussion

Member takes

Implication

Key Points

Cite This Study

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