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. Author manuscript; available in PMC: 2012 Jun 12.
Published in final edited form as: J Speech Lang Hear Res. 2006 Dec;49(6):1209–1223. doi: 10.1044/1092-4388(2006/087)

Table 5.

Canonical discriminant function coefficients across age groups.

Age group Constant Coefficient × (Score) Cutoff score
Age Group 1 4;0–5;1 −3.236 6.499 × (x) 50
Age Group 2 5;2–5;11 −4.500 5.734 × [arcsine (x)] 70
Age Group 3 6;1–7;0 −3.393 4.392 × [arcsine (x)] 70
Note. The formula used to derive the cutoff score for age 1 is the following:
0=constant+coefficient(x),
where x is the value of the cutoff score. Given the significant differences in equality of variance–covariance matrices for Age Groups 2 and 3, the cutoff scores were derived by using the following formula:
0=constant+coefficient[arcsine(x)]
The value of x was solved by using the following formula:
x=sin[arcsine(x)].