Model misspecification and bias for inverse probability weighting estimators of average causal effects

Commonly used semiparametric estimators of causal effects specify parametric models for the propensity score (PS) and the conditional outcome. An example is an augmented inverse probability weighting (IPW) estimator, frequently referred to as a doubly robust estimator, because it is consistent if at least one of the two models is correctly specified. However, in many observational studies, the role of the parametric models is often not to provide a representation of the data-generating process but rather to facilitate the adjustment for confounding, making the assumption of at least one true model unlikely to hold. In this paper, we propose a crude analytical approach to study the large-sample bias of estimators when the models are assumed to be approximations of the data-generating process, namely, when all models are misspecified. We apply our approach to three prototypical estimators of the average causal effect, two IPW estimators, using a misspecified PS model, and an augmented IPW (AIPW) estimator, using misspecified models for the outcome regression (OR) and the PS. For the two IPW estimators, we show that normalization, in addition to having a smaller variance, also offers some protection against bias due to model misspecification. To analyze the question of when the use of two misspecified models is better than one we derive necessary and sufficient conditions for when the AIPW estimator has a smaller bias than a simple IPW estimator and when it has a smaller bias than an IPW estimator with normalized weights. If the misspecification of the outcome model is moderate, the comparisons of the biases of the IPW and AIPW estimators show that the AIPW estimator has a smaller bias than the IPW estimators. However, all biases include a scaling with the PS-model error and we suggest caution in modeling the PS whenever such a model is involved. For numerical and finite sample illustrations, we include three simulation studies and corresponding approximations of the large-sample biases. In a dataset from the National Health and Nutrition Examination Survey, we estimate the effect of smoking on blood lead levels.     

Copper Toxicity in Maize: The Severity of the Stress is Reduced Depending on the Applied Fe-Chelating Agent

Journal of Plant Growth Regulation - The wide use of copper (Cu)-based fungicide has caused a stepwise accumulation of Cu in the environment increasing the occurrence of phytotoxicity in crops. To...     

A MACROMUTATION IN TRIPSACUM DACTYLOIDES (POACEAE): CONSEQUENCES FOR SEED SIZE,GERMINATION, AND SEEDLING ESTABLISHMENT

A recessive allele of a gene in Tripsacum dactyloides L. (eastern gamagrass) changes staminate florets to pistillate or hermaphrodite, and restores fertility to suppressed florets. There were ten to 25 times more seeds in the mutant pistillate form, and these were 0.32 to 0.59 times smaller than seeds from the normal form. Seeds from pistillate plants had significantly lower germination rates (22% vs. 50%), and seedlings grew 20% slower than those of normal plants in a greenhouse experiment. Pistillate seedling survival rates were lower in both high- (18.8% vs. 62.6%) and low- (52.8% vs. 72.6%) competition environments in a field experiment, and surviving seedlings were smaller. The maternal parent of volunteer seedlings next to a plantation of normal and pistillate plants was determined by dissecting the attached fruitcases of 1,313 seedlings. Pistillate plants in the plantation produced 90% of all seeds falling on the site but only 29% of the volunteer seedlings. The pistillate macromutation is not likely to spread in the wild due to morphological constraints on seed size and packaging.     

Modulation of cisPlatin cytotoxicity by interleukin-1α and resident tumor macrophages

The modulation of cisPlatin cytotoxicity by interleukin-1 (IL-1α) was studied in cultures of SCC-7 tumor cells with and without tumor macrophages to examine potential mechanisms for the synergistic antitumor activity of cisPlatin and IL-1α in SCC-7 solid tumors. Neither IL-1α nor tumor macrophages affected the survival of clonogenic tumor cells and IL-1α had no direct effect on tumor cell growthin vitro. Macrophages had no direct effect on cisPlatin sensitivity (IC₉₀=6.0 μM), but, the addition of IL-1α (500–2000U/ml) to co-cultures of cisPlatin pretreated tumor cells and resident tumor macrophages increased cell killing (IC₉₀=3.1 μM). Similar responses were seen in primary cultures treated with cisPlatin before IL-1α. The modulation of cisPlatin cytotoxicity by IL-1α exhibited a biphasic dose response that paralleled the IL-1α dose dependent release of H₂O₂by resident tumor macrophages. Further, IL-1α modification of cisPlatin cytotoxicity was prompt and inhibited by catalase. CisPlatin and exogenous H₂O₂ (50 μM) produced more than additive SCC-7 clonogenic cell kill and hydroxyl radicals played an important role in the response. Interleukin-1 modulation of cisPlatin cytotoxicity was schedule dependent. IL-1α treatment for 24 hrs, before cisPlatin, produced drug resistance (IC₉₀=11.1 μM). Our study shows that IL-1α can stimulate tumor macrophages to release pro-oxidants that modify cellular chemosensitivity in a schedule and dose dependent fashion. Our findings may also provide a mechanistic explanation for the synergistic antitumor activity of cisPlatin and IL-1αin vivo.     

Stereoselectivity of the Chinese hamster ovary cell sialidase: sialoside hydrolysis with overall retention of configuration

The stereochemical course of enzymatic hydrolysis by the solublesialidase from Chinese hamster ovary cells, expressed as a recombinantprotein in insect Sf9 cells, was determined using proton nuclearmagnetic resonance spectroscopy. 4-Methyl umbelliferyl-N-acetylneuraminic acid was employed as substrate, and the stereoselectivityof the enzyme catalysis was ascertained by monitoring the H3axial and equatorial protons of the sialic acid product overthe reaction course. At both high (3 U) and low concentrations(1 U) of the enzyme, the alpha anomer of the sialic acid wasclearly observed as the initial reaction product. The correspondingbeta anomer of sialic acid appeared much later in the reaction,arising from mutarotation of the alpha anomer. Similar studieswere also carried out using the Salmonella typhimurium LT 2sialidase, a protein of similar size and substrate specificity.Both enzymes apparently cleave the alpha linked sialoside substratewith retention of configuration. Based on the observations ofa wide variety of other glycohydrolytic enzymes that have showna strong correlation of the stereoselectivity of catalysis withactive site topology (Gebler et al, J. Biol. Chem. 267, 12559–12561,1992), the results obtained here suggest that the microbialand mammalian sialidases have a homologous active site architectureeven though the molecules do not share significant primary sequencesimilarities. sialidase NMR enzyme mechanism Chinese hamster     

Solution conformation of Lewis a-derived selectin ligands is unaffected by anionic substituents at the 3'- and 6'- positions

The selectins are a family of proteins that mediate leukocytetethering and rolling along the vascular endothelium. E-, P-,and L-selectin recognize various derivatives of the Lewis^a andLewis^x trisaccharides. The distribution of negative chargeson the Lewis^a and Lewis^x oligosaccharides appears to be an importantfactor in their binding by the selectins. Previous work exploringthis electrostatic dependence found that a series of syntheticanionic trisaccharides, 3'-sulfo, 3'-phospho, 6'-sulfo, and3',6'-disulfo Lewis^a. (Glc), exhibited differing selectin inhibitoryefficacies. To explore the possibility that these differencesarise from conformational differences between the sugars, thesolution structures of these trisaccharides were determinedusing NMR and molecular dynamics simulations. Interproton distancesand interglycosidic torsion angles were determined at 37°Cusing NOESY buildup curves and 1D LRJ experiments, respectively.Data from both experiments agreed well with predictions madefrom 2000 picosecond unrestrained molecular dynamics simulations.We found that 3'-sulfation did not alter the core Lewis^a conformation,a finding that reaffirms the results of previous study. In addition,we found that sulfation at the 6' position also leaves the trisaccharideconformation unperturbed. This is significant because the proximityof the 6'-sulfate group to the fucose ring might have alteredthe canonical Lewis^a structure. The disulfate exhibited greaterflexibility than the other derivatives in dynamics simulations,but not so much as to affect NOE and heteronuclear couplingconstant measurements. Taken together, our findings supportthe use of Lewis^a as a template onto which charged groups maybe added without significantly altering the trisaccharide'sstructure. oligosaccharides molecular dynamics simulations NMR sulfated Lewis^a phosphorylated Lewis^a     

Reduction of vanadate to vanadyl by a strain of Saccharomyces cerevisiae

Three strains of Saccharomyces cerevisiae, SC-1, DBVPG 6173 and DBVPG 6037, were studied for vanadate resistance in complex Sabouraud medium since they did not thrive in different minimal media (yeast nitrogen base with and without amino acids). The strain SC-1 was resistant up to 16 mm of vanadate, whereas the strains DBVPG 6173 and DBVPG 6037 were inhibited by 8 mm and 4 mm vanadate, respectively. The vanadate resistance in strain SC-1 was constitutive and due to the reduction of this oxyanion to vanadyl, which was detected by EPR spectroscopy and visible spectroscopy. The transformation of vanadate to vanadyl took place during the exponential growth phase; 10 mm of vanadate was reduced to vanadyl outside the cells since the oxyanion was not detected in the cell biomass and only a negligible concentration of vanadyl (25 nmoles mg cells dry weight) was found in the biomass. The other two vanadate-sensitive yeast strains only accumulated vanadate and did not reduce the oxyanion to vanadyl.