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Related Concept Videos

Kendall's Coefficient of Concordance01:20

Kendall's Coefficient of Concordance

Kendall's Coefficient of Concordance (W), also known as Kendall's W, is a non-parametric statistical measure used to assess the agreement or concordance between multiple raters or judges when they rank a set of items. It is often used when you have ordinal data (ranks) and you want to see if there is consistency or consensus among the raters. It is widely applied in research areas such as psychology, medicine, and social sciences, where multiple judges are asked to rank or rate subjects or...
One-Way ANOVA: Equal Sample Sizes01:15

One-Way ANOVA: Equal Sample Sizes

One-Way ANOVA can be performed on three or more samples with equal or unequal sample sizes. When one-way ANOVA is performed on two datasets with samples of equal sizes, it can be easily observed that the computed F statistic is highly sensitive to the sample mean.
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
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...
One-Way ANOVA: Unequal Sample Sizes01:15

One-Way ANOVA: Unequal Sample Sizes

One-way ANOVA can be performed on three or more samples of unequal sizes. However, calculations get complicated when sample sizes are not always the same. So, while performing ANOVA with unequal samples size, the following equation is used:
Bonferroni Test01:10

Bonferroni Test

The Bonferroni test is a statistical test named after Carlo Emilio Bonferroni, an Italian mathematician best known for Bonferroni inequalities. This statistical test is a type of multiple comparison test to determine which means are different than the rest. Bonferroni test can minimize the Type 1 error by reducing the significance level alpha, which otherwise increases with sample pairs.
The means of different samples are first paired in all possible combinations.
The null hypothesis of the...
Confidence Interval for Estimating Population Mean01:25

Confidence Interval for Estimating Population Mean

A point estimate of the population mean is obtained from a single sample. Such a point estimate does not represent a population well because it needs to account for variability in the population. Single point estimate can also be biased despite the sample being selected randomly. Thus, a point estimate is often unreliable. A confidence interval is needed to reduce this unreliability.
A confidence interval for the mean is a range of values that provides an estimate of the population mean. As the...

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Related Experiment Video

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An R-Based Landscape Validation of a Competing Risk Model
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An R-Based Landscape Validation of a Competing Risk Model

Published on: September 16, 2022

Sample size for comparing correlated concordance rates.

Sin-Ho Jung1, Huiman X Barnhart, Insuk Sohn

  • 1Department of Biostatistics and Bioinformatics, Duke University, Durham, North Carolina, USA. jung0005@mc.duke.edu

Journal of Biopharmaceutical Statistics
|March 11, 2008
PubMed
Summary
This summary is machine-generated.

This study introduces a new statistical test and sample size formula to assess agreement between medical diagnostic methods and a gold standard. The methods ensure accurate error control and power maintenance for reliable study design.

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Area of Science:

  • Biostatistics
  • Medical Device Evaluation
  • Clinical Trial Design

Background:

  • Comparing diagnostic methods requires robust statistical tools.
  • Accurate assessment of agreement is crucial for clinical decision-making.
  • Existing methods may lack power or accurate error control in certain settings.

Purpose of the Study:

  • To develop and validate a new asymptotic test statistic for comparing concordance rates.
  • To propose a closed-form sample size formula for study design.
  • To demonstrate the adaptability of the methods for other agreement indices like sensitivity and specificity.

Main Methods:

  • Development of an asymptotic test statistic for comparing concordance rates.
  • Derivation of a closed-form sample size formula.
  • Simulation studies to evaluate type I error control and power.
  • Application to a real-world eye study.

Main Results:

  • The proposed test statistic effectively controls type I error, even with small sample sizes.
  • The sample size formula accurately maintains statistical power across various scenarios.
  • The methodology demonstrates flexibility for use with sensitivity and specificity.

Conclusions:

  • The developed statistical test and sample size formula provide reliable tools for comparing diagnostic methods.
  • These methods enhance the design and analysis of studies evaluating diagnostic accuracy.
  • The approach is applicable to a broader range of agreement measures in clinical research.