494 ILLINOIS STATE ACADEMY OF SCIENCE 



TABLE I 



RANKING OF THE TESTS 



Method Method of 

 of Com- Inter-test Com- 

 posite Cor- bined Final 

 Test Scores relation Ranks Rank 



National 5 4 9 4 



Haggerty 2 3 5 2.5 



Otis 3 2 5 2.5 



Starch 4 6.5 10. 5 5 



Stone 1 1 2 1 



Monroe 6 5 11 6 



Buckingham 7 6.5 13. 5 7 



It should be remembered that in determining the com- 

 posite score only five of the tests were nsed, Monroe and 

 Buckingham being omitted. In determining the inter- 

 test correlations, all the tests were used. It will be noted 

 that the results by the two methods differ but slightly. 

 It is important, however, to consider the inter-test values 

 side by side with the other series, primarily because of 

 the above omissions in the computation of the composite. 

 Inclusion of a test in deriving the composite naturally 

 tends to improve the rating of the test by the composite 



The two series of ranks appearing in Table I were com- 

 bined to form a final series representing the net result 

 of the investigation. This final series is shown in the 

 column designated ''Final Eank." It will be observed 

 that the Stone test occupies first position, the Haggerty 

 and Otis tests divide honors for second place, the Na- 

 tional ranks fourth, Starch fifth, Monroe sixth, and Buck- 

 ingham seventh. 



Analysis of the method and content of the tests re- 

 vealed marked variations with respect to (1) length, of 

 time allowance, (2) selection of problems for different 

 grades, (3) space for computation, (4) weighting of 

 problems, (5) method of scoring, (6) use of preliminary 

 exercises, (7) kind of problems. Most of these variables 

 need further investigation in order to lay the foundation 

 for more accurate tests of arithmetical-reasoning ability. 



