The Advanced Theory of Statistics, Volume 3

allocation analysis approximation asymptotically autocorrelations autocovariance autoregressive BIB design block C. R. Rao Chapter coefficients column column-effects components consider constant correlogram corresponding covariance d.fr defined discussed dispersion matrix distribution effects equal equation errors Example Exercise experiment F-test factor frequencies function given gives groups hence hypothesis independent interactions k-statistic latent roots Latin squares linear model LS estimator mean method moving average multivariate N₁ normal normally distributed observations obtain orthogonal P₁ parameters polynomial population probabilities problem random series random variables ratio reduces regression replacement Residual SS result S₁ sampling variance scheme selected serial correlations spectral density spectrum statistic stratified sampling sufficient statistics sum of squares Table theory transformation treatment two-way cross-classification u₁ unbiassed estimator units values variation vector Wishart distribution y₁ zero Σ Σ σ² ΣΣ