. Experimental education; laboratory manual and typical results . from average X* 2/2 xy 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 22 24 101061011 -4 -3 - .5 + .5 + + + +3 + +5 -3-3 -7-3 -2 + -2 0-3 0+7++3+5 16 25 9 949 9 4 0 9 925 + 12+ +21+ + - + 1 0 - ++ + +25 Average. 19 13 (■ tx- y V2 x* ■ Ty* = ~ of the products of x and y = squ
. Experimental education; laboratory manual and typical results . from average X* 2/2 xy 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 22 24 101061011 -4 -3 - .5 + .5 + + + +3 + +5 -3-3 -7-3 -2 + -2 0-3 0+7++3+5 16 25 9 949 9 4 0 9 925 + 12+ +21+ + - + 1 0 - ++ + +25 Average. 19 13 (■ tx- y V2 x* ■ Ty* = ~ of the products of x and y = square root of (the sum of x* X the sum of V)) matter in the two performances. If this correlation isnot fairly high — above .60 — the degree of correla-tion between this test and others is of little significance,since the scores are not accurate measures of the ability TESTS 179 in question. A formula has been developed by Spear-man to correct a coefficient of correlation when it is Bi Positive correlation Ascending * / / / Ascending. Negative correlation. Ascending • b t c CO < Ascending - Chart VIII. DIAGRAM ILLUSTRATING THE INTERPRETATION OFTHE TWO GRAPHIC METHODS OF DISPLAYING CORRELATIONUSED IN CHART VII (A) illustrates the method of plotting the position of each individual withreference to the two tests by designating his position with reference to bothcoordinates, one of which represents the scale of scores in one test and theother the scale in the second test. (B) illustrates the method in which thepositions in the two tests are plotted separately with reference to the samecoordinate. reduced by lack of precision in the results in the indi-vidual tests, but the reliability of this formula isdoubtful, and it is far better to perfect the methods of 180 EXPERIMENTAL EDUCATION giving the tests until their results are consistent. Inthe case before us two series of opposites were usedwith the same persons. The correlation between themappears from the table to be sa
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