A Study of the Relation of Some Physical Defects to Achievement in the Elementar

Cover A Study of the Relation of Some Physical Defects to Achievement in the Elementar
A Study of the Relation of Some Physical Defects to Achievement in the Elementar
Jasper Newton Mallory
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Without Sheppard's tables, ^Yule, Introduction to the Theory of Statistics, page 352.
"^Biometrika, Vol. IX, page 22.
^Biometrika, Vol. IX, page 25.
*Biometrika, Vol. VII, page 436, and Vol. VII, page 385.
36 A Study of the Relation of Some Physical Defects it cannot be used; and, with them, the amount of work required is extreme unless Gibson's and Everitt's tables are also accessible.
A Method of Correlation that is Adapted to a Variable and an Attribute. — The method used above does not take
... advantage of the fact that one of the attributes was a meas- urable quantity. The scores yield themselves most readily to this kind of treatment. Pearson^ has given us a formula for utilizing this property and at the same time making it possible to correlate with a nonmeasurable attribute. - At first sight the formula seems complex, because it is derived from the equation of the normal curve and con- tains integral signs. It is as follows : ill K[ ^00 2 o-'i'-^ q /2" K[ ^00 z 0-2- w^ Jy y^ ^y 0-2 ~~ N /-oo y'^ J y e 2o-2'dy (1) 2 n (T-2 2 n e {y/--^Y ^2n J 00, , i (1 a) 4 y (2) /2n Jy/cr-ie ^' dy But p = r o-i -^ .

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