This classic volume outlines, for both students and professionals, the mathematical theories and equations that are necessary for evaluating a test and for quantifying its characteristics. The author utilizes formulas that evaluate both the reliability and the validity of tests. He also provides the means for evaluating the reliability and validity of total test scores and individual item analysis. The work remains one of the only books on classical test theory to discuss applications, "true score" theory, the effect of test length on reliability and validity, and the effects of univariate and multivariate selection on validity.

Graphical determination of probable error in validation of test items.

Theory of mental tests

A table is presented which directly gives phi coefficients accurate to three places when entered by the proportion of one sub-group responding in a specified manner and the proportion of a second sub-group responding in the same manner. The table gives coefficients identical with those obtained by formula if the sub-groups are equal in number. The phi coefficients can readily be expressed, if desired, in terms of critical ratio or chi square. The table is more accurate than the use of abacs and eliminates the use of time-consuming formulas. Accurate determination of item validity on the basis of statistically rigorous techniques can be made more quickly by means of the table than validity determined by less efficient methods which have previously been used to save time.

Table for determining phi coefficients

(1943). The effects of high school debating on critical thinking. Speech Monographs: Vol. 10, No. 1, pp. 96-103.

The effects of high school debating on critical thinking

The following bibliography has been selected from issues of educational and psychological journals for March, 1934, to February, 193 5, inclusive. The first part contains items dealing with the theory and use of statistical methods, while the second part includes studies and discussions of problems of test construction. No articles on the use of tests have been included in the present list, since these items are distributed functionally to other lists in the cycle, for example, the lists concerned with secondary-school instruction, educational psychology, and guidance published in other issues of the School Review and the lists concerned with elementary-school instruction and exceptional children published in the Elementary School Journal.

Graphical determination of probable error in validation of test items.

Citations

Theory of mental tests

Table for determining phi coefficients

The effects of high school debating on critical thinking

Selected References on Statistics and the Theory of Test Construction

An Evaluation of College Achievement Examinations in Social Science Through an Analysis of the Discriminatory Properties of the Individual Items.

Related Papers (5)

A simple index of test reliability.

Error evaluation and model validation in statistical pattern recognition

System and method for integrated model risk management

A note on methods of test validation.

Validation data set