Because of common data limitations, the existing testing framework for the generalized composite commodity theorem (Lewbel, 1996) is incomplete. This note clarifies and strengthens the testing procedure by implementing modified Bonferroni procedures. The conditions are established for consistency between the existing and modified Bonferroni tests. In an empirical application, the Bonferroni tes...

In this paper, we generalize the classical Bonferroni inequalities and their improvements by Galambos to sums of type ∑ I⊆U (−1)|I|f(I) where U is a finite set and f : 2 → R. The result is applied to the Tutte polynomial of a matroid and the chromatic polynomial of a graph.

A frequently encountered challenge in high-dimensional regression is the detection of relevant variables. Variable selection suffers from instability and the power to detect relevant variables is typically low if predictor variables are highly correlated. When taking the multiplicity of the testing problem into account, the power diminishes even further. To gain power and insight, it can be adv...

OBJECTIVES To conduct a kinematic comparison of occupational posture in orthodontists and dentists in their workplace. DESIGN Observational study. SETTING Dentist surgeries and departments of orthodontics at university medical centres in Germany. PARTICIPANTS A representative sample of 21 (10 female, 11 male) dentists (group G1) and 21 (13 female, 8 male) orthodontists (G2) with one male ...

We present a new continuity correction to the P value for local maxima of a statistical parametric map that bridges the gap between small FWHM, when the Bonferroni correction is accurate, and large FWHM, when random field theory is accurate. The new method, based on discrete local maxima, is always an upper bound (like the Bonferroni), but lower and hence more accurate for large FWHM, without i...

This study examined the relative family-wise error (FWE) rate and statistical power of multivariate permutation tests (MPTs), Bonferroni-adjusted alpha, and uncorrected-alpha tests of significance for bivariate associations. Although there are many previous applications of MPTs, this is the first to apply it to testing bivariate associations. Electrocortical studies were selected as an example ...

This article investigates solutions to multiple attribute decision-making (MADM) problems in which the values take form of trapezoidal fuzzy multi-numbers. To do this, this paper proposes a kind mean aggregation operator called Bonferroni harmonic for aggregating information. Then, an approach that is solution algorithm has been developed find multi-attribute problems. Afterwards, illustrative ...

Introduction Bonferroni Pruning Pruning is a common technique to avoid over tting in decision trees. Most pruning techniques do not account for one important factor | multiple comparisons. Multiple comparisons occur when an induction algorithm examines several candidate models and selects the one that best accords with the data. Making multiple comparisons produces incorrect inferences about mo...