Technical Report - International Military Testing Association

.
The basic fomula uhic:!~ generates the part correlation between
“reoidwl gain” and a third variable is as follow:
r(2.1)3 -
‘23 - r12r13
Where : 1 - Pratcot
2 - Poottest
3 - 0xridr V6rZable
The boric fotlsuia vhich generate6 the fntercmrelction 5etwcrn cry t v o
rrtr of residual mores, i.e.. 22.1 end 64.3 16 � 6 follour:
‘24 - ‘12=14
r(2.1)(4.3).- -
- ‘23=34 + ‘12’13’34
- r2
l 34
Where : 1,3 are inftial scored on two
different test6
2,d are final scores on tvo
different te6 t6.
Thf6 bring6 W CO the point, vhfch I indicated earliet, regard-w the
tolr of “re6idual .-.6in” in ?ixotLvrtlon research. The! formulas ju6t dlscwred
prWid6 a technique to divide the measured v6ti6nca fn rkil]. or
echiwetmmt into two pert6: a part which is completely predicted by
msrruted skill or schievement obtained at BOWi CCrffet point and & part
which ie unpredicted by the e6tliet w66ure. Due to the mtute of the
v6ti6bleo 6nd the baeic p6radfgm outlined above, the logic of the ritwtion
leads ub to posit that the unpredicted vati6nce of “rClidu61” in tepre-
6entative of “g6fn” in lermlng. Houevet, if instead of uring an achlevcmerit
or skill mSa6uru a6 out pte-test we u6ed en eptftude utersute, then
the logic of the situ6tlon would 146d u6 to porit that the rcrlducl fs
more rynonymous with %mtivatfon” thsn “gain” a6 described 6bwe. ThU6,
nothing has ch6nged except the n6ture of the pre-te6t. The vrlue of thir
residu61 e6 a predictor and criterion both in the measurement and prediction
of wtivation rill be illU6trated below.
1. Retfo Index. Iha second concept of importance in our treatment
of motlv6tlon tsseatch 16 the ratio of actual to predicted achievement.
This hss been reforrcd to popularly 66: wer6chfcvementf underachievement ;
.achievement index; dF6crcpancy 6core; PAQ (preparatory achlevemnt quotient)
at cl.
57
.