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SPSS® 12.0 Command Syntax Reference

SPSS® 12.0 Command Syntax Reference

SPSS® 12.0 Command Syntax Reference

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MANOVA: Multivariate 873<br />

DEVIATION Deviations from the mean of the variables being transformed. The first transformed<br />

variable is the mean of all variables in the transformation. Other<br />

transformed variables represent deviations of individual variables from the<br />

mean. One of the original variables (by default the last) is omitted as redundant.<br />

To omit a variable other than the last, specify the number of the variable<br />

to be omitted in parentheses after the DEVIATION keyword. For example,<br />

/TRANSFORM (A B C) = DEVIATION(1)<br />

omits A and creates variables representing the mean, the deviation of B from<br />

the mean, and the deviation of C from the mean. A DEVIATION transformation<br />

is not orthogonal.<br />

DIFFERENCE Difference or reverse Helmert transformation. The first transformed variable<br />

is the mean of the original variables. Each of the original variables except the<br />

first is then transformed by subtracting the mean of those (original) variables<br />

that precede it. A DIFFERENCE transformation is orthogonal.<br />

HELMERT Helmert transformation. The first transformed variable is the mean of the<br />

original variables. Each of the original variables except the last is then transformed<br />

by subtracting the mean of those (original) variables that follow it. A<br />

HELMERT transformation is orthogonal.<br />

SIMPLE Each original variable, except the last, is compared to the last of the original<br />

variables. To use a variable other than the last as the omitted reference variable,<br />

specify its number in parentheses following the keyword SIMPLE. For example,<br />

/TRANSFORM(A B C) = SIMPLE(2)<br />

specifies the second variable, B, as the reference variable. The three transformed<br />

variables represent the mean of A, B, and C, the difference between<br />

A and B, and the difference between C and B. A SIMPLE transformation is not<br />

orthogonal.<br />

POLYNOMIAL Orthogonal polynomial transformation. The first transformed variable represents<br />

the mean of the original variables. Other transformed variables represent<br />

the linear, quadratic, and higher-degree components. By default, values of the<br />

original variables are assumed to represent equally spaced points. You can<br />

specify unequal spacing by entering a metric consisting of one integer for each<br />

variable in parentheses after the keyword POLYNOMIAL. For example,<br />

/TRANSFORM(RESP1 RESP2 RESP3) = POLYNOMIAL(1,2,4)<br />

might indicate that three response variables correspond to levels of some<br />

stimulus that are in the proportion 1:2:4. The default metric is always<br />

(1,2,...,k), where k variables are involved. Only the relative differences<br />

between the terms of the metric matter: (1,2,4) is the same metric as (2,3,5)<br />

or (20,30,50) because in each instance the difference between the second and<br />

third numbers is twice the difference between the first and second.<br />

REPEATED Comparison of adjacent variables. The first transformed variable is the<br />

mean of the original variables. Each additional transformed variable is the<br />

difference between one of the original variables and the original variable

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