Abstract
A statistic is proposed for testing the hypothesis of equality of the means of a bivariate normal distribution with unknown common variance and correlation coefficient when observations are missing on one of the variates. Expressions for the second and fourth central moments of the statistic are obtained. These moments are used to approximate the distribution of the statistic by a Student's t distribution under the null hypothesis. The powers of the test are computed and compared with those of the conventional paired t and the other known statistics.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 589-594 |
| Number of pages | 6 |
| Journal | Biometrical Journal |
| Volume | 29 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1987 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty
Keywords
- Empirical size and power
- Equaliity of means
- Incomplete data
- Moments
- Paired t‐test