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Discriminant Analysis - Statpower

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We can use the regression formula (5) to classify<br />

scores, i.e., attempt to categorize them into groups.<br />

A score y ˆi classified as being in the group whose<br />

predicted score mean is closest to it. Since the<br />

group means are<br />

βˆ′ ( x − x ) and ˆ′ ( − )<br />

the midpoint, or cutpoint, is<br />

1<br />

( ) ˆ ( )<br />

β x x (6)<br />

βˆ′ x1− x + β′<br />

x2 − x<br />

ˆ ⎛ x1+<br />

x<br />

′<br />

2<br />

= β −<br />

⎞<br />

⎜ x ⎟ (7)<br />

2 ⎝ 2 ⎠<br />

2

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