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analysis anova appropriate approximation Bibliography Binomial bivariate block cell Chapter chi-squared chi-squared distribution column confidence interval confidence region corresponding defined Definition degrees of freedom denotes dispersion matrix effect equal equivalent error example expected frequencies expected value extra reduction factor Figure Fisher frequency table gamma distribution given interaction L.S. estimates likelihood function linear regression maximum likelihood method mutually independent Normal distribution normal equations Normal variable null hypothesis number of observations observed value obtained OnOnOnOnOn OnOnOnOnOn OnOnOnOnOn OOOO ooooo ooooo orthogonal parameters Poisson Poisson distribution probability distribution probability interval procedure proportional quadratic ratio realization residual sample mean sampling distribution sampling expectation sampling variance significance level specified standard Normal Student's distribution sufficient statistic sum of squares Suppose Theorem tion total number transformation treatment unbiased estimate unknown vector whence xu x2 xux2 zero