Estimates of heterogeneity (I2) can be biased in small meta-analyses

In meta-analysis, the fraction of variance that is due to heterogeneity is known as I2. We show that the usual estimator of I2 is biased. The bias is largest when a meta-analysis has few studies and little heterogeneity. For example, with 7 studies and the true value of I2 at 0, the average estimate of I2 is .124. Estimates of I2 should be interpreted cautiously when the meta-analysis is small and the null hypothesis of homogeneity (I2=0) has not been rejected. In small meta-analyses, confidence intervals may be preferable to point estimates for I2.Comment: 7 pages + 3 figure

Isospectral Mathieu-Hill Operators

In this paper we prove that the spectrum of the Mathieu-Hill Operators with potentials ae^{-i2{\pi}x}+be^{i2{\pi}x} and ce^{-i2{\pi}x}+de^{i2{\pi}x} are the same if and only if ab=cd, where a,b,c and d are complex numbers. This result implies some corollaries about the extension of Harrell-Avron-Simon formula. Moreover, we find explicit formulas for the eigenvalues and eigenfunctions of the t-periodic boundary value problem for the Hill operator with Gasymov's potential

Some Relations on Paratopisms and An Intuitive Interpretation on the Adjugates of a Latin Square

This paper will present some intuitive interpretation of the adjugate transformations of arbitrary Latin square. With this trick, we can generate the adjugates of arbitrary Latin square directly from the original one without generating the orthogonal array. The relations of isotopisms and adjugate transformations in composition will also be shown. It will solve the problem that when F1*I1=I2*F2 how can we obtain I2 and F2 from I1 and F1, where I1 and I2 are isotopisms while F1 and F2 are adjugate transformations and * is the composition. These methods could distinctly simplify the computation on a computer for the issues related to main classes of Latin squares.Comment: Any comments and criticise are appreciate

Supplemental peri-operative intravenous crystalloids for postoperative nausea and vomiting: an abridged Cochrane systematic review.

We conducted a Cochrane systematic review on the effectiveness of supplemental intravenous crystalloid administration in preventing postoperative nausea and vomiting. We included randomised controlled trials of patients undergoing surgery under general anaesthesia and given supplemental peri-operative intravenous crystalloid. Our primary outcomes were the risk of postoperative nausea and the risk of postoperative vomiting. We assessed the risk of bias for each included study and applied the Grading of Recommendations, Assessment, Development and Evaluations (GRADE) framework for the certainty of evidence. We included 41 studies. We found that the intervention probably reduces the overall risk of postoperative nausea, the risk ratio (95%CI) being 0.62 (0.51-0.75) (I2  = 57%, p < 0.00001, 18 studies; 1766 participants; moderate-certainty evidence). It also probably reduces the risk of postoperative nausea within 6 h of surgery, with a risk ratio (95%CI) of 0.67 (0.58 to 0.78) (I2  = 9%, p < 0.00001, 20 studies; 2310 participants; moderate-certainty evidence) and by around 24 h, the risk ratio (95%CI) being 0.47 (0.32-0.69) (I2  = 38%, p = 0.0001, 17 studies; 1682 participants; moderate-certainty evidence). Supplemental intravenous crystalloid probably also reduces the overall risk of postoperative vomiting, with a risk ratio (95%CI) of 0.50 (0.40-0.63) (I2  = 31%, p < 0.00001, 20 studies; 1970 participants; moderate-certainty evidence). The beneficial effect on vomiting was seen both within 6 h and by around 24 h postoperatively

Optical analogs of NMR phase coherent multiple pulse spectroscopy

A new technique is presented for producing optical pulse sequences using acousto-optical modulation. The method is applied to gaseous I2 at −15 °C

Meta‐analysis of the association between sodium‐glucose co‐transporter‐2 inhibitors and risk of skin cancer among patients with type 2 diabetes

A slight increase in melanoma risk was observed among sodium‐glucose co‐transporter‐2 (SGLT‐2) inhibitor users in the regular reports. However, the association remains uncertain. To address this issue, we performed a systematic search of electronic databases up to May 2, 2018 and a meta‐analysis of 21 randomized controlled trials (RCTs) involving 20 308 patients. We did not find a significant increase in risk of melanoma among SGLT‐2 inhibitor users (Peto odds ratio [OR], 2.17; 95% confidence interval [CI], 0.80‐5.89; I2, 0%). Similar results were observed in the subgroup analyses according to the type of SGLT‐2 inhibitor, type of control, ages of patients, race/ethnicity, and trial durations. For non‐melanoma skin cancer risk, no significant difference was observed when all trials were combined (Peto OR, 0.70; 95% CI, 0.47‐1.07; I2, 0%), while a significantly decreased risk was observed among trials with duration <52 weeks (Peto OR, 0.12; 95% CI, 0.02‐0.59; I2, 0%). No evidence of publication bias was detected in the analyses. Current evidence from RCTs did not support a significantly increased risk of skin cancer associated with SGLT‐2 inhibitors

Crystal Structures of Polymerized Fullerides AC60, A=K, Rb, Cs and Alkali-mediated Interactions

Starting from a model of rigid interacting C60 polymer chains on an orthorhombic lattice, we study the mutual orientation of the chains and the stability of the crystalline structures Pmnn and I2/m. We take into account i) van der Waals interactions and electric quadrupole interactions between C60 monomers on different chains as well as ii) interactions of the monomers with the surrounding alkali atoms. The direct interactions i) always lead to an antiferrorotational structure Pmnn with alternate orientation of the C60 chains in planes (001). The interactions ii) with the alkalis consist of two parts: translation-rotation (TR) coupling where the orientations of the chains interact with displacements of the alkalis, and quadrupolar electronic polarizability (ep) coupling, where the electric quadrupoles on the C60 monomers interact with induced quadrupoles due to excited electronic d states of the alkalis. Both interactions ii) lead to an effective orientation-orientation interaction between the C60 chains and always favor the ferrorotational structure I2/m where C60 chains have a same orientation. The structures Pmnn for KC60 and I2/m for Rb- and CsC60 are the result of a competition between the direct interaction i) and the alkali-mediated interactions ii). In Rb- and CsC60 the latter are found to be dominant, the preponderant role being played by the quadrupolar electronic polarizability of the alkali ions.Comment: J.Chem.Phys., in press, 14 pages, 3 figures, 8 table

Control of P2X2 Channel Permeability by the Cytosolic Domain

ATP-gated P2X channels are the simplest of the three families of transmitter-gated ion channels. Some P2X channels display a time- and activation-dependent change in permeability as they undergo the transition from the relatively Na+-selective I1 state to the I2 state, which is also permeable to organic cations. We report that the previously reported permeability change of rat P2X2 (rP2X2) channels does not occur at mouse P2X2 (mP2X2) channels expressed in oocytes. Domain swaps, species chimeras, and point mutations were employed to determine that two specific amino acid residues in the cytosolic tail domain govern this difference in behavior between the two orthologous channels. The change in pore diameter was characterized using reversal potential measurements and excluded field theory for several organic ions; both rP2X2 and mP2X2 channels have a pore diameter of ~11 Å in the I1 state, but the transition to the I2 state increases the rP2X2 diameter by at least 3 Å. The I1 to I2 transition occurs with a rate constant of ~0.5 s^-1. The data focus attention on specific residues of P2X2 channel cytoplasmic domains as determinants of permeation in a state-specific manner

Left Behind: Intergenerational Transmission of Human Captial in the Midst of HIV/AIDS

HIV/AIDS, Intergenerational Transmission; Human Capital Investment; JEL: O12, I1, I2