A New Method for Comparing Experiments and Measuring Information

Kitchin, Patty L.; Foutz, Robert V.

doi:10.1081/sac-100001864

Cited by 2 publications

(5 citation statements)

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“…The only advantage of a larger sample size over a smaller sample size is that a larger sample size provides a finer scale for calibrating. We can still draw meaningful conclusions using a smaller sample size, as did Kitchin and Foutz (2001).…”

Section: Resultsmentioning

confidence: 85%

“…The calibration program (program 2) must be run for each subsample, and program 1 must be run for each taxonomic level (species, genus and family), so this can accumulate a great deal of CPU time. Kitchin and Foutz (2001) used similar programs to calculate the expected efficiency of several card counting statistics for casino blackjack. They used a sample size of eight because larger sample sizes required lengthy computation time.…”

Section: Resultsmentioning

confidence: 99%

“…Definition 7: The expected efficiency of T(X) with respect to X is the following (Kitchin and Foutz, 2001):…”

Section: Methodsmentioning

confidence: 99%

“…We determine how well the EPT index classifies which population the sample was taken from (impacted or reference) as compared to the entire sample. Kitchin and Foutz (2001) developed a measure of the amount of information contained in a statistic. This measure, called expected efficiency, is used in this article to quantify the difference in information of the EPT index at the species, genus and family levels.…”

Section: Methodsmentioning

confidence: 99%

“…However, none of these information measures can be used to measure the amount of information in the EPT index. For example, Fisher's information measure can have the same value for a sufficient statistic and for a non-sufficient statistic (Kitchin, 1997). Also, the EPT index violates the regularity assumptions required for Fisher's information measure.…”

Section: Literature Reviewmentioning

confidence: 97%

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Measuring the amount of statistical information in the EPT index

Kitchin

2004

Environmetrics

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SUMMARYBiological monitoring is the process of measuring the effect of environmental stress on the environment. Aquatic macroinvertebrates are widely used in the monitoring of freshwater lotic systems. The macroinvertebrate fauna of a reference stream is commonly compared to the fauna of an impacted stream that is affected by an environmental stressor. The smaller the similarity between these two streams, the greater the effect of pollution or stress on the impacted stream. Many richness measures, or statistics, exist for measuring similarity. These statistics can be computed using different levels of taxonomic resolution (species, genus and family). Many aquatic biologists believe that species-level identifications, which require exorbitant time and expertise, are needed for correct data interpretations. The actual amount of information provided by these statistics at different taxonomic levels has never been measured. This article evaluates the amount of statistical information provided by the EPT index as compared to a sufficient statistic at the various levels of taxonomic resolution.

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Section: Resultsmentioning

confidence: 85%

Section: Resultsmentioning

confidence: 99%

“…Definition 7: The expected efficiency of T(X) with respect to X is the following (Kitchin and Foutz, 2001):…”

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 97%