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March 1, 1987Applied Psychological MeasurementOpen Access

Statistical Inference for Coefficient Alpha

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Authors

LFLeonard S. FeldtUniversity of IowaDWDavid J. WoodruffAmerican College of Financial ServicesFSFathi A. SalihArabian Gulf University

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Implication

Methodological study outlines sampling theory for coefficient alpha across test procedures, enabling hypothesis testing and statistical comparison of measurement reliability.

Key Points

  • Summarize the sampling theory for Cronbach's coefficient alpha to establish formal statistical inference methods for internal consistency reliability.
  • Outlined the mathematical derivations, distributional properties, and underlying statistical assumptions of coefficient alpha.
  • Formulated statistical techniques to construct confidence intervals and test point hypotheses regarding population alpha.
  • Developed significance testing procedures for evaluating the equality of multiple reliability coefficients using both independent and dependent samples.
  • Demonstrated exact mathematical procedures for estimating confidence intervals around population coefficient alpha values.
  • Provided numerical procedures to test the hypothesis of equality between reliability coefficients across independent groups or repeated measurements.

Cite This Study

Feldt et al. (1987) studied this question.

synapsesocial.com/papers/6a10745de1a472cb5efcef36https://doi.org/10.1177/014662168701100107
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