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Related Concept Videos

Sampling Plans01:23

Sampling Plans

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Sampling is a crucial step in analytical chemistry, allowing researchers to collect representative data from a large population. Common sampling methods include random, judgmental, systematic, stratified, and cluster sampling.
Random sampling is a method where each member of the population has an equal chance of being selected for the sample. It involves selecting individuals randomly, often using random number generators or lottery-type methods. For example, when analyzing the properties of a...
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Sampling Distribution01:12

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Given simple random samples of size n from a given population with a measured characteristic such as mean, proportion, or standard deviation for each sample, the probability distribution of all the measured characteristics is called a sampling distribution. How much the statistic varies from one sample to another is known as the sampling variability of a statistic. You typically measure the sampling variability of a statistic by its standard error. The standard error of the mean is an example...
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Stratified Sampling Method01:16

Stratified Sampling Method

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Sampling is a technique to select a portion (or subset) of the larger population and study that portion (the sample) to gain information about the population. The sampling method ensures that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a stratified sample, divide the population into groups called strata and then take a...
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Contaminants and Errors01:16

Contaminants and Errors

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Effective sample preparation is crucial for accurate and reliable laboratory analysis. During this process, two significant sources of error can arise: concentration bias from improper sample splitting and contamination caused by methods used to reduce particle size, such as grinding or homogenization. Identifying and minimizing these potential errors is crucial to ensuring the validity of the analysis.
Another key consideration is determining the appropriate number of samples required to...
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Choosing Between z and t Distribution01:25

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The z and the Student t distribution estimate the population mean using the sample mean and standard deviation. However, to decide which distribution to use for a calculation, one needs to determine the sample size, the nature of the distribution, and whether the population standard deviation is known. If the population standard deviation is known and the population is normally distributed, or if the sample size is greater than 30, the z distribution is preferred. The Student t distribution is...
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Sampling Methods: Overview01:06

Sampling Methods: Overview

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A sample refers to a smaller subset representative of a larger population. In analytical chemistry, studying or analyzing an entire population is often impractical or impossible. Therefore, samples are used to draw inferences and generalize the whole population. The sampling method selects individuals or items from a population to create a sample. Standard sampling methods include random, judgemental, systematic, stratified, and cluster sampling. 
In analytical chemistry, the choice of...
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Bioequivalence Design With Sampling Distribution Segments.

Luke Hagar1, Nathaniel T Stevens2

  • 1Department of Epidemiology, Biostatistics and Occupational Health, McGill University, Montreal, Quebec, Canada.

Statistics in Medicine
|January 24, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a faster simulation method for bioequivalence power analysis, providing accurate sample size recommendations for clinical trial designs. The approach efficiently approximates power curves without full distribution estimation.

Keywords:
Sobol' sequencesWelch's t‐testaverage bioequivalencepower analysisscalable design

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Area of Science:

  • Biostatistics
  • Clinical Trial Design
  • Pharmacokinetics

Background:

  • Power analyses are crucial in bioequivalence studies to determine necessary sample sizes for detecting clinically significant differences.
  • Traditional methods often rely on time-intensive computer simulations to approximate sampling distributions for complex test statistics.
  • Accurate power calculations ensure efficient and ethical clinical trial conduct.

Purpose of the Study:

  • To develop a novel, efficient simulation-based method for approximating power curves in bioequivalence testing.
  • To enable unbiased sample size recommendations by exploring relevant segments of sampling distributions.
  • To demonstrate the method's applicability to two-group bioequivalence tests with unequal variances and its potential in broader clinical designs.

Main Methods:

  • A novel simulation-based approach is proposed to efficiently approximate power curves by selectively exploring sampling distributions.
  • The method avoids estimating the entire sampling distribution, reducing computational time.
  • Implementation is demonstrated using the 'dent' package in R for two-group bioequivalence tests with unequal variances.

Main Results:

  • The proposed method provides a computationally efficient way to approximate power curves for bioequivalence tests.
  • Despite not estimating the full sampling distribution, the approach yields unbiased sample size recommendations.
  • The method is illustrated for two-group bioequivalence with unequal variances, showing practical utility.

Conclusions:

  • A novel, efficient simulation technique accelerates power curve approximation in bioequivalence studies.
  • This method facilitates accurate and unbiased sample size determination for clinical trial planning.
  • The developed approach and R package ('dent') offer broader applicability in clinical study design.