Role Of Biometry Research Articles

The generalized multisample Cucconi test statistic for the location and scale parameters

Many researchers study various test statistics for appropriately dealing with data. The nonparametric one-way analysis of variance plays an important role in biometry. For the multisample location-scale problem, the generalized Cucconi test statistic has been proposed for the location, scale, and location-scale parameters. This study derives the limiting distribution of the suggested test statistic. Computing the exact critical value of the statistic can be difficult when the sample sizes are large. An approximation method regarding the distribution function of the test statistic can be useful in this situation. We use a gamma approximation to evaluate the upper-tail probability of the proposed test statistic for a finite sample size.

The generalized Cucconi test statistic for the two-sample problem

When testing hypotheses in two-sample problem, the Lepage test statistic is often used to jointly test the location and scale parameters, and this test statistic has been discussed by many authors over the years. Since two-sample nonparametric testing plays an important role in biometry, the Cucconi test statistic is generalized to the location, scale, and location–scale parameters in two-sample problem. The limiting distribution of the suggested test statistic is derived under the hypotheses. Deriving the exact critical value of the test statistic is difficult when the sample sizes are increased. A gamma approximation is used to evaluate the upper tail probability for the proposed test statistic given finite sample sizes. The asymptotic efficiencies of the proposed test statistic are determined for various distributions. The consistency of the original Cucconi test statistic is shown on the specific cases. Finally, the original Cucconi statistic is discussed in the theory of ties.

The Cucconi statistic for Type-I censored data

Various nonparametric test statistics have been proposed for censored data. Two-sample nonparametric testing plays an important role in biometry. While most of two-sample nonparametric tests intend to detect a shift in location or in scale, the two-sample Cucconi test statistic is suitable for the joint comparison of both parameters. The Cucconi test statistic is extended to the left- and right-censored data based on the theory of ties. We derive the limiting distribution of the Cucconi test statistic for censored data. We conduct simulation studies to investigate the convergence of the Cucconi test statistic to the limiting distribution and the power of the proposed statistic with various population distributions. The method is illustrated with an analysis using real data.

The null and non-null limiting distributions of the modified multisample Cucconi test

ABSTRACTVarious test statistics have been proposed to address the two-sample location-scale problem. A nonparametric one-way layout analysis of variance plays an important role in biometry. We consider a multisample nonparametric statistic for the location-scale problem. The multisample Cucconi test is suitable for the shifted location-scale parameter. However, the limiting distribution of the multisample Cucconi test has not been derived prior to this publication. The null and non-null limiting distribution of the modified multisample Cucconi test is derived. Simulation studies are used to investigate the convergence of the multisample Cucconi test to the limiting distribution under various scenarios.

The Role of Biometry in the Training of Medical Informaticians

Medical informatics and medical biometry, as well as the medical biometrician's and medical informatician's fields of activity, overlap significantly. The affinity between the two disciplines can be illustrated by a comparison of the definitions of both disciplines, by examples of research projects for which the application of methods from both fields is necessary in order to complete the project successfully, and by an analysis of the professional fields of medical informatics graduates working in their occupation. Therefore, a stronger integration of both disciplines is advocated.

Role of Biometry in Orthodontic Research

Role of Biometry in Orthodontic Research