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Related Concept Videos

Testing Water Quality01:14

Testing Water Quality

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When the quality of water for concrete preparation is uncertain, its impact on the setting time of cement and compressive strength of mortar is assessed by comparison with de-ionized or distilled water benchmarks. American Society for Testing and Materials (ASTM) C1602 requires the setting times to be within 90 minutes of the control, British Standard (BS) 3146:1980 allows a 30-minute variance in the initial setting, while British Standards European Norm (BS EN) 1008 specifies initial setting...
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Testing a Claim about Population Proportion01:24

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A complete procedure for testing a claim about a population proportion is provided here.
There are two methods of testing a claim about a population proportion: (1) Using the sample proportion from the data where a binomial distribution is approximated to the normal distribution and (2) Using the binomial probabilities calculated from the data.
The first method uses normal distribution as an approximation to the binomial distribution. The requirements are as follows: sample size is large...
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The Sequential Probability Ratio Test: An efficient alternative to exact binomial testing for Clean Water Act 303(d)

Connie Chen1, Matthew O Gribble2, Jay Bartroff3

  • 1Department of Statistics, Carnegie Mellon University, Pittsburgh, PA, United States.

Journal of Environmental Management
|February 1, 2017
PubMed
Summary
This summary is machine-generated.

California

Keywords:
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Area of Science:

  • Environmental Science
  • Water Quality Monitoring
  • Statistical Methods

Background:

  • The Clean Water Act mandates states identify impaired water bodies and establish total maximum daily loads (TMDLs).
  • State procedures for listing water bodies as impaired vary, with California using an exact binomial test for water quality assessment.
  • Current methods may not be the most efficient for evaluating water quality data.

Purpose of the Study:

  • To compare the performance of California's current exact binomial test with the Sequential Probability Ratio Test (SPRT) for water quality impairment assessment.
  • To determine if SPRT offers a more efficient approach to water quality monitoring under the Clean Water Act.

Main Methods:

  • The study employed simulations and theoretical derivations to contrast the exact binomial test with the Sequential Probability Ratio Test (SPRT).
  • SPRT was evaluated for its sequential testing framework, processing samples as they become available.
  • Performance was assessed based on the number of samples required to achieve comparable Type I and Type II error rates.

Main Results:

  • The Sequential Probability Ratio Test (SPRT) demonstrated, on average, a requirement for fewer samples compared to the fixed-sample binomial test.
  • SPRT achieved comparable Type I and Type II error rates to the existing binomial test.
  • This suggests SPRT is a more sample-efficient method for water quality assessment.

Conclusions:

  • The Sequential Probability Ratio Test (SPRT) presents a more efficient alternative to California's current exact binomial test for assessing water quality impairment.
  • Adoption of SPRT could lead to reduced sampling efforts while maintaining regulatory compliance under the Clean Water Act.
  • Policymakers should consider efficient statistical alternatives like SPRT for evaluating water quality data.