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By William R. Klecka

Those systems, jointly referred to as discriminant research, permit a researcher to review the adaptation among or extra teams of gadgets with admire to numerous variables at the same time, deciding on even if significant alterations exist among the teams and choosing the discriminating energy of every variable.

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A table of group means and standard deviations is not sufficient, because it cannot report the interrelations among the variables. We can, however, use the matrix of total sums of squares and cross-products, T, which is a square symmetric matrix. 5 To understand where T comes from, let us define some symbols as follows: g =number of groups nk =number of cases in group k n. =total number of cases over all groups Cikm =the value of variable i for case m in group k Cik. =mean value of variable i for those cases in group k Ci..

Such a distribution exists when each variable has a normal distribution about fixed values on all the others (Blalock, 1979: 452). This permits the precise computation of tests of significance and probabilities of group membership. When this assumption is violated, the computed probabilities are not exact, but they may still be quite useful if interpreted with caution (Lachenbruch, 1975: 41-46). These assumptions constitute the mathematical model on which the most common approaches to discriminant analysis rest.

This means that the discriminant scores over all the cases will have a mean of zero and a within-groups standard deviation of one. 6 The discriminant score for a given case represents the position of that case along the continuum (axis) defined by that function. Page 22 Raw Coefficients The solution to Equation 4 yields a set of coefficients for each function, the v's. These raw coefficients could be used as they are for the purpose of classification. However, they are totally uninterpretable as coefficients, and the scores they produce for the data cases have no intrinsic meaning.

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