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 miming on one of the variates. The distribution of the statistic is approximated by a normal distribution unde
On Testing Equality of Means of Correlated Variates with Incomplete Data
โ Scribed by Prof. D. S. Bhoj
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 255 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0323-3847
No coin nor oath required. For personal study only.
โฆ Synopsis
A strrtistic 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.
๐ SIMILAR VOLUMES
## Burnma y Two atatieticsareproposd for teeting the hypothmis of equality of the means of B bivariate normal distribution with unknown common variance and correlation coefficient when observations are missing on both variah. One of the statiatica reduces to the one proposed by BHOJ (1978,1984) wh
## Abstract A modification of the numbers of degrees of freedom which makes the __F__ ratio test of the equality of two variances applicable also in the paired case with incomplete data is suggested. Monte Carlo simulation studies indicate that the suggested test is reasonably powerful in many case