An exact permutation test is provided for the tetrachoric correlation coefficient. Comparisons with the conventional test employing Student's t distribution demonstrate the necessity of using the permutation approach for small sample sizes and/or disproportionate marginal frequency totals. (Contains 4 tables.)

Describes a FORTRAN software program that calculates the probability of an observed difference between agreement measures obtained from two independent sets of raters. An example illustrates the use of the DIFFER program in evaluating undergraduate essays. (Author/SLD)

A FORTRAN subroutine is presented to calculate a generalized measure of agreement between multiple raters and a set of correct responses at any level of measurement and among multiple responses, along with the associated probability value, under the null hypothesis. (Author)

A Fortran Extended program which computes Goodman and Kruskal's Tau-b, its asymmetrical counterpart, Tau-a, and three sets of confidence limits for each coefficient under full multinomial and proportional stratified sampling is presented. A correction of an error in the calculation of the large sample standard error of Tau-b is discussed.…

A FORTRAN program, GAMMA, computes Goodman and Kruskal's coefficient of ordinal association, gamma, and Somer's coefficient. The program also provides associated standard errors, standard scores, and probability values. (Author/JKS)

A nonasymptotic Chi-Square analysis algorithm is presented to investigate r by c contingency tables where small expected cell frequencies render the usual asymptotic analysis inappropriate. A FORTRAN subroutine is provided for analyzing the tables having highly disproportionate or small marginal totals. (Author/GDC)

An algorithm and associated FORTRAN-77 computer subroutine are described for computing Goodman and Kruskal's tau-b statistic along with the associated nonasymptotic probability value under the null hypothesis tau=O. (Author)

Cohen's kappa statistic is frequently used to measure agreement between two observers using categorical polytomies. Cohen's statistic is: shown to be inherently multivariate in nature; expanded to analyze ordinal and interval data; and extended to over two observers. A non-asymptotic test of significance is provided for the generalized statistic.…

Subroutines to calculate exact chi square and Fisher's exact probability tests are presented for 3 by 2 cross-classification tables. A nondirectional probability value for each test is computed recursively. (Author/GDC)

A generalized measure of association and an associated test of significance are presented for nominal independent variables in which any number or combination of interval, ordinal, or nominal dependent variables can be analyzed. A permutation test of significance is provided for the new measure. (SLD)

A FORTRAN-77 subroutine is presented to calculate two test statistics for assessing goodness-of-fit in categorical data. The test statistic inferences are based on the exact first three cumulants of the Pearson chi-square statistic and a recently published modification of the Pearson chi-square statistic. (Author)