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Related Concept Videos

Sample Size Calculation01:19

Sample Size Calculation

Knowledge of the sample size is the first requirement to conduct random sampling or an experiment. The sample size is the total number of units, observations, or groups (in some cases) used to get the data to estimate a population parameter. As the name suggests, the sample size is that of the sample drawn from the population and differs from the population size.
The sample size for the given experiment or sampling effort is fundamental to any study design. Sample size decides the number of...
Types of Biopharmaceutical Studies: Controlled and Non-Controlled Approaches01:23

Types of Biopharmaceutical Studies: Controlled and Non-Controlled Approaches

Biopharmaceutical studies constitute a vital field aiming to enhance drug delivery methods and refine therapeutic approaches, drawing upon diverse interdisciplinary knowledge. In research methodologies, the choice between controlled and non-controlled studies significantly influences the study's reliability and accuracy.
Non-controlled studies, commonly employed for initial exploration, lack a control group, rendering them susceptible to biases and external influences. In contrast, controlled...
Testing a Claim about Standard Deviation01:19

Testing a Claim about Standard Deviation

A complete procedure to test a claim about population standard deviation or population variance is explained here.
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...
Testing a Claim about Population Proportion01:24

Testing a Claim about Population Proportion

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...
Randomized Experiments01:13

Randomized Experiments

The randomization process involves assigning study participants randomly to experimental or control groups based on their probability of being equally assigned. Randomization is meant to eliminate selection bias and balance known and unknown confounding factors so that the control group is similar to the treatment group as much as possible. A computer program and a random number generator can be used to assign participants to groups in a way that minimizes bias.
Simple randomization
Simple...
Systematic Sampling Method01:17

Systematic Sampling Method

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. Data are the result of sampling from a 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.
Systematic sampling is one of the simplest methods...

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Calculating sample size in trials using historical controls.

Song Zhang1, Jing Cao, Chul Ahn

  • 1Department of Clinical Sciences, UT Southwestern Medical Center, Dallas, TX, USA. song.zhang@utsouthwestern.edu

Clinical Trials (London, England)
|June 25, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a new sample size formula for historical control trials that accounts for data variability. It ensures reliable power and type I error control by focusing on percentiles rather than means.

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Area of Science:

  • Biostatistics
  • Clinical Trial Design
  • Statistical Methods

Background:

  • The Makuch-Simon formula for historical control trials assumes a fixed control effect, ignoring inherent data uncertainty.
  • This assumption leads to inaccurate power and type I error rates in practice.
  • Previous methods fail to account for the randomness in historical control data.

Purpose of the Study:

  • To develop a robust sample size formula for historical control trials.
  • To accurately address the randomness and uncertainty in historical control group observations.
  • To ensure reliable statistical power and type I error control.

Main Methods:

  • Investigated the skewed distributions of power and type I error across historical control data realizations.
  • Derived a novel sample size formula controlling specific percentiles of power and type I error.
  • Validated the approach using simulations with unknown population variances.

Main Results:

  • A closed-form sample size formula was developed for historical control trials.
  • The formula effectively controls arbitrary percentiles of power and type I error.
  • Simulations confirmed the formula's validity, even with unknown population variances.

Conclusions:

  • A new sample size formula is presented for historical control trials with continuous outcomes.
  • This formula addresses the skewed distributions of power and type I error.
  • The method provides more reliable statistical planning compared to prior approaches.