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Related Concept Videos

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...
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Test for Homogeneity

The goodness–of–fit test can be used to decide whether a population fits a given distribution, but it will not suffice to decide whether two populations follow the same unknown distribution. A different test, called the test for homogeneity, can be used to conclude whether two populations have the same distribution. To calculate the test statistic for a test for homogeneity, follow the same procedure as with the test of independence. The hypotheses for the test for homogeneity can be stated as...
Decision Making: Traditional Method01:14

Decision Making: Traditional Method

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Multiple Comparison Tests

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Introduction to Test of Independence

In statistics, the term independence means that one can directly obtain the probability of any event involving both variables by multiplying their individual probabilities. Tests of independence are chi-square tests involving the use of a contingency table of observed (data) values.
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Related Experiment Video

Updated: May 23, 2026

Advancing Dyslexia Assessment in Children Through Computerized Testing
09:00

Advancing Dyslexia Assessment in Children Through Computerized Testing

Published on: August 16, 2024

Coefficient alpha and interculture test selection.

Steven Thurber1, Yasuhiro Kishi2

  • 1Woodland Centers, Willmar, MN, USA steven_thurber@yahoo.com.

Assessment
|April 24, 2012
PubMed
Summary

Cronbach's alpha may inaccurately estimate reliability for multidimensional tests. A Japanese nursing attitude scale lacked tau-equivalence, indicating potential issues with its adaptation and reliability for research.

Keywords:
composite reliabilitycross-cultural test selectiontau-equivalence

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Last Updated: May 23, 2026

Advancing Dyslexia Assessment in Children Through Computerized Testing
09:00

Advancing Dyslexia Assessment in Children Through Computerized Testing

Published on: August 16, 2024

Area of Science:

  • Psychometrics
  • Nursing Research
  • Cross-cultural Adaptation

Background:

  • Internal consistency reliability is crucial for instrument adaptation.
  • Cronbach's alpha (α) is a common but potentially flawed reliability index.
  • Alpha assumes tau-equivalence, which may not hold for multidimensional measures.

Purpose of the Study:

  • To evaluate the internal consistency reliability of a Japanese nursing attitude questionnaire adapted from English.
  • To examine the limitations of Cronbach's alpha for multidimensional instruments.
  • To assess the suitability of an alternative reliability measure.

Main Methods:

  • Assessed tau-equivalence for the Japanese version of a nursing attitude questionnaire.
  • Calculated Cronbach's alpha (α) and composite reliability.
  • Examined the dimensionality of the questionnaire.

Main Results:

  • The Japanese scale demonstrated a lack of tau-equivalence.
  • Composite reliability was below acceptable standards for magnitude and precision.
  • Original English measure's dimensionality was not previously assessed.

Conclusions:

  • Cronbach's alpha may provide inaccurate reliability estimates for this multidimensional Japanese nursing scale.
  • The internal consistency reliability of the adapted Japanese instrument is questionable.
  • Further research is needed to validate the Japanese scale for research applications.