Nearest neighbor analysis Logistic and multinomial regression Classical methods Hotelling’s T2 provides a multivariate extension to a Multivariate analysis of variance (MANOVA) provides a multivariate extension to analysis of variance (ANOVA). Data matrices and vectors Notation: p = number of numerical variables of interest N = number of experimental units on which the variables are being measured xrj = of the jth variable on the rth experimental unit for r = 1, and j = 1, p …,N …, = data matrix - xrj are arranged in matrix form so that X xrj is the rth row and jth column element of rows X; represent experimental units and columns represent variables. X has dimension Np = vector of data for the rth experimental unit = [xr1, xr2, xrp] = of …, “transpose”
Nearest neighbor analysis Logistic and multinomial regression Classical methods Hotelling’s T2 provides a multivariate extension to a Multivariate analysis of variance (MANOVA) provides a multivariate extension to analysis of variance (ANOVA). Data matrices and vectors Notation: p = number of numerical variables of interest N = number of experimental units on which the variables are being measured xrj = of the jth variable on the rth experimental unit for r = 1, …,N and j = 1, …, p X = data matrix - xrj are arranged in matrix form so that xrj is the rth row and jth column element of X; rows represent experimental units and columns represent variables. X has dimension Np = vector of data for the rth experimental unit = [xr1, xr2, …, xrp] = “transpose” of
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