### Abstract

If Y is a continuous, ordinal measure of a latent variable θ and Y has a normal distribution with equal variances in several groups, then t tests and one-way analyses of variance on Y can be used to test hypotheses about population mean differences on θ in the corresponding groups. If X and Y are continuous, ordinal measures of latent variables θ and Φ, and if X and Y have a bivariate normal distribution, then a test of the null hypothesis that the population correlation between X and Y is zero is also a test of the hypothesis that θ and Φ are independent.

Original language | English (US) |
---|---|

Pages (from-to) | 137-144 |

Number of pages | 8 |

Journal | Psychological Bulletin |

Volume | 104 |

Issue number | 1 |

DOIs | |

State | Published - Jul 1988 |

## Fingerprint Dive into the research topics of 'Parametric Statistics and Levels of Measurement'. Together they form a unique fingerprint.

## Cite this

Davison, M. L., & Sharma, A. R. (1988). Parametric Statistics and Levels of Measurement.

*Psychological Bulletin*,*104*(1), 137-144. https://doi.org/10.1037/0033-2909.104.1.137