durbin's rank test is widely used for testing treatment effects in balanced incomplete block designs (bibds)which have wide applications in sensory analysis. this test is failed for bibds when ties data occur. an adjusted version of durbin rank test for this kind of data is given to solve this problem. chi-square approximation, which is commonly used for this test, is not adequate for small bib...

Durbin's rank test is widely used for testing treatment effects in Balanced Incomplete Block Designs (BIBDs) which have wide applications in sensory analysis. This test is failed for BIBDs when ties data occur. An adjusted version of Durbin rank test for this kind of data is given to solve this problem. Chi-square approximation, which is commonly used for this test, is not adequate for small BI...

We study two Durbin-Watson type tests for serial correlation of errors in regression models when observations are missing. We derive them by applying standard methods used in time series and linear models to deal with missing observations. The first test may be viewed as a regular Durbin-Watson test in the context of an extended model. We discuss appropriate adjustments that allow one to use al...

An alternative to the Engle-Granger tests is the Cointegration Regression Durbin-Watson (CRDW) test of Sargan and Bhargava (1983). The test involves a simple regression of one variable on the other, and the standard Durbin-Watson test on the residuals. Recall the null for the DW test is that the residuals form a nonstationary random walk, whereas the alternative hypothesis is that the residuals...

In geo-statistics, the Durbin-Watson test is frequently employed to detect the presence of residual serial correlation from least squares regression analyses. However, the Durbin-Watson statistic is only suitable for ordered time or spatial series. If the variables comprise cross-sectional data coming from spatial random sampling, the test will be ineffectual because the value of Durbin-Watson'...

A wide literature is available on the asymptotic behavior of the Durbin-Watson statistic for autoregressive models. However, it is impossible to find results on the Durbin-Watson statistic for autoregressive models with adaptive control. Our purpose is to fill the gap by establishing the asymptotic behavior of the Durbin Watson statistic for ARX models in adaptive tracking. On the one hand, we ...

We propose and axiomatize probability adjusted rank-discounted critical-level generalized utilitarianism (PARDCLU). We thus generalize rank-discounted utilitarianism (RDU) to variable population and uncertainty and thereby take important steps towards preparing RDU for practical use, e.g. for evaluation of climate policies and other policy issues with long-run consequences. We illustrate how PA...