# A COMPARISON OF SEVERAL ITEM DISCRIMINATION INDICES1

@article{Engelhart1965ACO, title={A COMPARISON OF SEVERAL ITEM DISCRIMINATION INDICES1}, author={Max Dissette Engelhart}, journal={Journal of Educational Measurement}, year={1965}, volume={2}, pages={69-76} }

The item discrimination indices compared in this study include tetrachoric coefficients of correlation, phi or fourfold point correlation coefficients, biserial coefficients, point biserial coefficients, Davis discrimination indices, and simple differences in proportions of correct response between upper and lower groups given the symbol "D." The tetrachoric coefficients, the phi coefficients, and the D indices were secured for test samples both divided at the median total score and into…

## 38 Citations

### A Comparison of Biserial Discrimination, Point Biserial Discrimination, and Difficulty Indices in Item Analysis Data

- Psychology
- 1969

is influenced by the format of the data as well as by the assumptions a particular user is willing to make. In item analysis, for example, the user is usually faced with dichotomous and continuous…

### Do Item-discrimination Indices Really Help Us to Improve Our Tests?

- Psychology
- 2001

For tests in which items individually score 0 or 1, the commonly described 'U-L Index' compares, for any one item, the numbers of correct responses given by two groups of examinees, those with the…

### Assessing the performance of classical test theory item discrimination estimators in Monte Carlo simulations

- Psychology
- 2017

The performance of various classical test theory (CTT) item discrimination estimators has been compared in the literature using both empirical and simulated data, resulting in mixed results regarding…

### Assessing the performance of classical test theory item discrimination estimators in Monte Carlo simulations

- PsychologyAsia Pacific Education Review
- 2017

The performance of various classical test theory (CTT) item discrimination estimators has been compared in the literature using both empirical and simulated data, resulting in mixed results regarding…

### A Monte Carlo Comparison of Ten Item Discrimination Indices.

- Psychology
- 1979

At least eight studies have appeared in the literature comparing discrimination indices commonly used for item analysis. Some of these have followed an analytical approach (Adams, 1960a; Bowers,…

### Correction of Item-Test Correlations and Attempts at Improving Reproducibility in Item-Analysis: an Experimental Approach

- Psychology
- 1981

The indices of discrimination determined for items in multiple choice examinations are known to be spuriously inflated (biased), due to their part-whole correlation. The magnitude of this bias for…

### A Comparison of Three Item Selection Methods in Criterion-Referenced Tests

- Education
- 1988

This study compared three methods of selecting the best discriminating test items and the resultant test reliability of mastery/nonmastery classifications. These three methods were (a) the agreement…

### A novel approach for calculating the item discrimination for Likert type of scales

- PsychologyInternational Journal of Assessment Tools in Education
- 2022

Item analysis is performed by developers as an integral part of the scale development process. Thus, items are excluded from the scale depending on the item analysis prior to the factor analysis.…

### A Note on Comparing r-Biserial and r-Point Biserial

- Mathematics
- 1972

HIGH correlation has been reported (Engelhart, 1965; Aleamoni and Spencer, 1969) between r-point biserial and r-biserial item selection indices; the implication is that use of either index in typical…

### A reappraisal of the use of the phi‐coefficient in multiple choice examinations

- EducationMedical education
- 1987

The behaviour of the phicoefficient (ø) was investigated in two one‐from‐five MCQ and two true/false examinations and it is shown that the magnitude of the ø‐coefficient for the items in any examination is a function not only of the discriminating power of the items, but also of the magnitudeof the countermark for incorrect responses.

## References

SHOWING 1-10 OF 11 REFERENCES

### The Relation of the Upper-Lower Item Discrimination Index, D, To the Bivariate Normal Correlation Coefficient

- Psychology
- 1964

where U is the number in the upper group who get the item right, L is the number in the lower group who get the item right, and n is the number in each group. Findley demonstrated that this index…

### Methods of item validation and abacs for item-test correlation and critical ratio of upper-lower difference

- Education
- 1940

It is shown that by making the assumption that the knowledge of the test-item and the knowledge of the entire test are both distributed normally, the correlation coefficient between any item and the…

### Table for determining phi coefficients

- GeologyPsychometrika
- 1947

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.

### A Rationale for Evaluation of Item Discrimination Statistics

- Education
- 1956

EVALUATION specialists are accustomed to using complicated statistical measures of difficulty and discriminating power in assessing the worth of individual items in a test. In helping subject-matter…

### Procedures for the Analysis of Classroom Tests

- Education
- 1954

Defining the Problem IT is generally agreed that classroom tests at the college level, and at most other levels as well, are in need of improvement. Poor tests are the most frequent target of…

### The selection of upper and lower groups for the validation of test items.

- Psychology
- 1939

It is not intended here to discuss the general problem of item validation, but only that aspect of it thai arises when an upper and lower group are selected to serve as standard groups in the…