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Relationships within a Single Set of Variables
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approach Bonferroni canonical analysis canonical correlation canonical variates characteristic root characteristic vector classiﬁcation column combined variable computer programs contrast covariance matrix criterion critical value Data Set deﬁned deﬁnition degrees of freedom dependent measures dependent variables derived difference discriminant function distribution equal estimate example F ratio factor analysis factor structure ﬁnd ﬁrst ﬁve formulas grand mean groups identical interaction intercorrelations interpretation involved latent variables linear combination loadings main diagonal main effect Manova maximized multiple regression multivariate statistics obtained one-way original variables outcome measures outcome variable overall null hypothesis overall test pair possible post hoc predicted predictor variables principal component priori problem procedure proﬁle analysis regression analysis regression coefﬁcients regression equation relationship researcher rotation Section set of variables signiﬁcance tests simply speciﬁc comparisons statistically signiﬁcant subjects sum of squares Table techniques uncorrelated univariate univariate F versus weights whence within-subjects yields z-score zero