Testing hypothesis in the analysis of variance for some-cells-empty data. (English) Zbl 0873.62055
Summary: The unbalanced analysis of variance model with possibly missing observations is studied. A class of statistical tests is obtained via a decomposition of the sum of squares of observations deviations from the weighted grand mean. This result is derived by the spectral decomposition of the corresponding matrix.
MSC:
62H15 | Hypothesis testing in multivariate analysis |
62J10 | Analysis of variance and covariance (ANOVA) |
62H10 | Multivariate distribution of statistics |