### Abstract

Researchers sometimes need a statistical test of the hypothesis that two values of Cronbach's alpha reliability coefficient are equal. The situation may involve scores from two different measures administered to independent random samples or from the same measure administered to random samples from two different populations. Feldt derived a test that functions well with large or moderate numbers of subjects. However, he validated this test only when the number of parts (k) of the measurement was fairly large, as it would be if the parts were individual test items. He did not consider instances in which the parts were raters, and hencek would be as small as 2 or 3. In this article, the Feldt test is investigated for such situations. It is found to function quite well in its control of Type I error.

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

Pages (from-to) | 589-600 |

Number of pages | 12 |

Journal | Educational and Psychological Measurement |

Volume | 66 |

Issue number | 4 |

DOIs | |

State | Published - 2006 Jan 1 |

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### Keywords

- Cronbach's coefficient alpha
- Difference in reliability estimates
- Reliability
- Small samples

### Cite this

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*Educational and Psychological Measurement*, vol. 66, no. 4, pp. 589-600. https://doi.org/10.1177/0013164405282488

**Testing the difference between two alpha coefficients with small samples of subjects and raters.** / Feldt, Leonard S.; Kim, Seonghoon.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Testing the difference between two alpha coefficients with small samples of subjects and raters

AU - Feldt, Leonard S.

AU - Kim, Seonghoon

PY - 2006/1/1

Y1 - 2006/1/1

N2 - Researchers sometimes need a statistical test of the hypothesis that two values of Cronbach's alpha reliability coefficient are equal. The situation may involve scores from two different measures administered to independent random samples or from the same measure administered to random samples from two different populations. Feldt derived a test that functions well with large or moderate numbers of subjects. However, he validated this test only when the number of parts (k) of the measurement was fairly large, as it would be if the parts were individual test items. He did not consider instances in which the parts were raters, and hencek would be as small as 2 or 3. In this article, the Feldt test is investigated for such situations. It is found to function quite well in its control of Type I error.

AB - Researchers sometimes need a statistical test of the hypothesis that two values of Cronbach's alpha reliability coefficient are equal. The situation may involve scores from two different measures administered to independent random samples or from the same measure administered to random samples from two different populations. Feldt derived a test that functions well with large or moderate numbers of subjects. However, he validated this test only when the number of parts (k) of the measurement was fairly large, as it would be if the parts were individual test items. He did not consider instances in which the parts were raters, and hencek would be as small as 2 or 3. In this article, the Feldt test is investigated for such situations. It is found to function quite well in its control of Type I error.

KW - Cronbach's coefficient alpha

KW - Difference in reliability estimates

KW - Reliability

KW - Small samples

UR - http://www.scopus.com/inward/record.url?scp=33745965825&partnerID=8YFLogxK

U2 - 10.1177/0013164405282488

DO - 10.1177/0013164405282488

M3 - Article

AN - SCOPUS:33745965825

VL - 66

SP - 589

EP - 600

JO - Educational and Psychological Measurement

JF - Educational and Psychological Measurement

SN - 0013-1644

IS - 4

ER -