### Abstract

Original language | English |
---|---|

Pages (from-to) | 503-520 |

Journal | British Journal of Mathematical and Statistical Psychology |

Volume | 66 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2013 |

### Fingerprint

### Cite this

*British Journal of Mathematical and Statistical Psychology*,

*66*(3), 503-520. https://doi.org/10.1111/bmsp.12010

}

*British Journal of Mathematical and Statistical Psychology*, vol. 66, no. 3, pp. 503-520. https://doi.org/10.1111/bmsp.12010

**Testing hypotheses involving Cronbach's alpha using marginal models.** / Kuijpers, R.E.; van der Ark, L.A.; Croon, M.A.

Research output: Contribution to journal › Article › Scientific › peer-review

TY - JOUR

T1 - Testing hypotheses involving Cronbach's alpha using marginal models

AU - Kuijpers, R.E.

AU - van der Ark, L.A.

AU - Croon, M.A.

PY - 2013

Y1 - 2013

N2 - We discuss the statistical testing of three relevant hypotheses involving Cronbach's alpha: one where alpha equals a particular criterion; a second testing the equality of two alpha coefficients for independent samples; and a third testing the equality of two alpha coefficients for dependent samples. For each of these hypotheses, various statistical tests have been proposed. Over the years, these tests have depended on progressively fewer assumptions. We propose a new approach to testing the three hypotheses that relies on even fewer assumptions, is especially suited for discrete item scores, and can be applied easily to tests containing large numbers of items. The new approach uses marginal modelling. We compared the Type I error rate and the power of the marginal modelling approach to several of the available tests in a simulation study using realistic conditions. We found that the marginal modelling approach had the most accurate Type I error rates, whereas the power was similar across the statistical tests.

AB - We discuss the statistical testing of three relevant hypotheses involving Cronbach's alpha: one where alpha equals a particular criterion; a second testing the equality of two alpha coefficients for independent samples; and a third testing the equality of two alpha coefficients for dependent samples. For each of these hypotheses, various statistical tests have been proposed. Over the years, these tests have depended on progressively fewer assumptions. We propose a new approach to testing the three hypotheses that relies on even fewer assumptions, is especially suited for discrete item scores, and can be applied easily to tests containing large numbers of items. The new approach uses marginal modelling. We compared the Type I error rate and the power of the marginal modelling approach to several of the available tests in a simulation study using realistic conditions. We found that the marginal modelling approach had the most accurate Type I error rates, whereas the power was similar across the statistical tests.

U2 - 10.1111/bmsp.12010

DO - 10.1111/bmsp.12010

M3 - Article

VL - 66

SP - 503

EP - 520

JO - British Journal of Mathematical and Statistical Psychology

JF - British Journal of Mathematical and Statistical Psychology

SN - 0007-1102

IS - 3

ER -