Keynes's Z function: a reply to Hartwig and Brady

Wang and Brady Reply.

Response to Hartwig and Davies

and indeed many of the other analyses reported in our paper do not suffer from potential bias due to weak instruments. Hartwig and Davies did, however, suggest that we could have used estimates from an external source to obtain less biased results in our MR-Egger analyses. Whereas we agree that this would be good practice in most situations, we do not feel that it would have been appropriate in...

An Isoperimetric Function for Bestvina-brady Groups

Given a right-angled Artin group A, the associated BestvinaBrady group is defined to be the kernel of the homomorphism A → Z that maps each generator in the standard presentation of A to a fixed generator of Z. We prove that the Dehn function of an arbitrary finitely presented BestvinaBrady group is bounded above by n. This is the best possible universal upper bound.

a comparison of teachers and supervisors, with respect to teacher efficacy and reflection

supervisors play an undeniable role in training teachers, before starting their professional experience by preparing them, at the initial years of their teaching by checking their work within the proper framework, and later on during their teaching by assessing their progress. but surprisingly, exploring their attributes, professional demands, and qualifications has remained a neglected theme i...

Authors’ response to Hartwig and Davies

1. Davey Smith G, Ebrahim S. ‘Mendelian randomization’: can genetic epidemiology contribute to understanding environmental determinants of disease? Int J Epidemiol 2003;32:1–22. 2. Burgess S, Timpson NJ, Ebrahim S, Davey Smith G. Mendelian randomization: where are we now and where are we going? Int J Epidemiol 2015;44:379–88. 3. Haycock PC, Burgess S, Wade KH, Bowden J, Relton C, Davey Smith G....