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Related Concept Videos

Multiple Comparison Tests01:13

Multiple Comparison Tests

Multiple comparison test, abbreviated as MCT, is a post hoc analysis generally performed after comparing multiple samples with one or more tests. An MCT will help identify a significantly different sample among multiple samples or a factor among multiple factors.
It would be easy to compare two samples using a significance alpha level of 0.05. In other words, there is only one sample pair to be compared. However, it would be difficult to identify a significantly different sample if the number...
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Comparing Experimental Results: Student's t-Test

The t-test is a statistical method used to compare the sample mean with a population mean or compare two means from two data sets. The test statistic is calculated from the standard deviation, mean, and number of measurements in the data set at a selected confidence interval and then compared to a table of critical values at this confidence level. If the test statistic is smaller than the critical value, the null hypothesis is accepted. In this case, we state that the difference between the...
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Comparing the Survival Analysis of Two or More Groups

Survival analysis is a cornerstone of medical research, used to evaluate the time until an event of interest occurs, such as death, disease recurrence, or recovery. Unlike standard statistical methods, survival analysis is particularly adept at handling censored data—instances where the event has not occurred for some participants by the end of the study or remains unobserved. To address these unique challenges, specialized techniques like the Kaplan-Meier estimator, log-rank test, and Cox...
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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.
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The null hypothesis of the...
Inductive Reasoning00:59

Inductive Reasoning

Inductive reasoning is a form of logical thinking that uses related observations to arrive at a general conclusion. It is uncertain and operates in degrees to which the conclusions are credible. As such, inductive arguments can be weak or strong, rather than valid or invalid, and conclusions can be used to formulate testable, falsifiable hypotheses.
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Testing a Claim about Population Proportion

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The Innovation Arena: A Method for Comparing Innovative Problem-Solving Across Groups
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Inferential methods for comparing two single cases.

John R Crawford1, Paul H Garthwaite, Liam T Wood

  • 1School of Psychology, College of Life Sciences and Medicine, King's College, University of Aberdeen, Aberdeen, UK. j.crawford@abdn.ac.uk

Cognitive Neuropsychology
|July 2, 2011
PubMed
Summary
This summary is machine-generated.

Researchers can now compare neuropsychological single-case studies using novel statistical methods. These methods reference scores to a control sample, offering robust analysis for individual case comparisons.

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Area of Science:

  • Neuropsychology
  • Statistics
  • Psychometrics

Background:

  • Comparing scores of two single cases is common in neuropsychological research.
  • Existing methods lack a reference to a control sample for score comparison.

Purpose of the Study:

  • To introduce novel statistical methods for comparing two single cases in neuropsychology.
  • To provide a framework for score comparison with or without covariates.
  • To offer hypothesis testing and effect size estimation.

Main Methods:

  • Development of classical and Bayesian statistical methods.
  • Referencing scores of two single cases to a control sample.
  • Incorporation of covariate analysis.
  • Monte Carlo simulations for validation.

Main Results:

  • The developed methods allow for hypothesis testing (one- or two-tailed).
  • Point and interval estimates for effect size and percentage of control pairs with larger differences are provided.
  • Monte Carlo simulations confirm the statistical theory's soundness and method robustness.

Conclusions:

  • The new methods offer a statistically sound and robust approach for comparing two single cases in neuropsychology.
  • These methods are implemented in user-friendly computer programs, enhancing accessibility for researchers.
  • The approach provides a valuable tool for advancing single-case study analysis in the field.