A Note on the Log‐Rank Test in Life Table Analysis with Correlated Observations

Survival data consisting of independent sets of correlated failure times may arise in many situations. For example, we may take repeated observations of the failure time of interest from each patient or observations of the failure time on siblings, or consider the failure times on littermates in toxicological experiments. Because the failure times taken on the same patient or related family members or from the same litter are likely correlated, use of the classical log‐rank test in these situations can be quite misleading with respect to type I error. To avoid this concern, this paper develops two closed‐form asymptotic summary tests, that account for the intraclass correlation between the failure times within patients or units. In fact, one of these two test includes the classical log‐rank test as a special case when the intraclass correlation equals 0. Furthermore, to evaluate the finite‐sample performance of the two tests developed here, this paper applies Monte Carlo simulation and notes that they can actually perform quite well in a variety of situations considered here.     

Interval Estimation of Simple Difference in Dichotomous Data with Repeated Measurements

When comparing two treatments, we often use the simple difference between the probabilities of response to measure the efficacy of one treatment over the other. When the measurement of outcome is unreliable or the cost of obtaining additional subjects is high relative to that of additional measurements from the obtained subjects, we may often consider taking more than one measurement per subject to increase the precision of an interval estimator. This paper focuses discussion on interval estimation of simple difference when we take repeated measurements per subject. This paper develops four asymptotic interval estimators of simple difference for any finite number of measurements per subject. This paper further applies Monte Carlo simulation to evaluate the finite‐sample performance of these estimators in a variety of situations. Finally, this paper includes a discussion on sample size determination on the basis of both the average length and the probability of controlling the length of the resulting interval estimate proposed elsewhere.     

Notes in Case-Control Studies with Matched Pairs under Inverse Sampling

In case-control studies with matched pairs, the traditional point estimator of odds ratio (OR) is well-known to be biased with no exact finite variance under binomial sampling. In this paper, we consider use of inverse sampling in which we continue to sample subjects to form matched pairs until we obtain a pre-determined number (>0) of index pairs with the case unexposed but the control exposed. In contrast to use of binomial sampling, we show that the uniformly minimum variance unbiased estimator (UMVUE) of OR does exist under inverse sampling. We further derive an exact confidence interval of OR in closed form. Finally, we develop an exact test and an asymptotic test for testing the null hypothesis H₀: OR = 1, as well as discuss sample size determination on the minimum required number of index pairs for a desired power at α-level.     

Interval Estimation of Simple Difference under Independent Negative Binomial Sampling

When the sample size is not large or when the underlying disease is rare, to assure collection of an appropriate number of cases and to control the relative error of estimation, one may employ inverse sampling, in which one continues sampling subjects until one obtains exactly the desired number of cases. This paper focuses discussion on interval estimation of the simple difference between two proportions under independent inverse sampling. This paper develops three asymptotic interval estimators on the basis of the maximum likelihood estimator (MLE), the uniformly minimum variance unbiased estimator (UMVUE), and the asymptotic likelihood ratio test (ALRT). To compare the performance of these three estimators, this paper calculates the coverage probability and the expected length of the resulting confidence intervals on the basis of the exact distribution. This paper finds that when the underlying proportions of cases in both two comparison populations are small or moderate (≤0.20), all three asymptotic interval estimators developed here perform reasonably well even for the pre-determined number of cases as small as 5. When the pre-determined number of cases is moderate or large (≥50), all three estimators are essentially equivalent in all the situations considered here. Because application of the two interval estimators derived from the MLE and the UMVUE does not involve any numerical iterative procedure needed in the ALRT, for simplicity we may use these two estimators without losing efficiency.     

A Note on the Estimation of the Population Mean in Stratified Random Sampling Using Two Auxiliary Variables

In this paper, a two‐phase sampling estimator for a stratified population mean using two auxiliary variables x and z is considered when the stratum mean of x is unknown but that of z is known. The suggested estimator under its optimal condition is found to be more efficient than the one using only x.     

A Note on the Estimation of Coverage Errors in Demographic Data

A simple formula for the lower bound of coverage errors in demographic data is obtained. The formula is derived under general assumptions, the validity of which is discussed. Three numerical examples are given.     

A Note on Penalized Regression Spline Estimation in the Secondary Analysis of Case-Control Data

Primary analysis of case-control studies focuses on the relationship between disease (D) and a set of covariates of interest (Y,X). A secondary application of the case-control study, often invoked in modern genetic epidemiologic association studies, is to investigate the interrelationship between the covariates themselves. The task is complicated due to the case-control sampling, and to avoid the biased sampling that arises from the design, it is typical to use the control data only. In this paper, we develop penalized regression spline methodology that uses all the data, and improves precision of estimation compared to using only the controls. A simulation study and an empirical example are used to illustrate the methodology.     

A Note on Estimation of Several Missing Values in Two Way Classified Data with Many Observations Per Cell

In this paper an attempt has been made to reduce the computational complexities involved in estimation of several missing values. As a result it has been shown that one can estimate m missing values by developing only k (≤m) linear equations, where m and k are respectively the number of missing values and missing cells. The procedure is also illustrated with the help of a numerical example.     

Probabilistic Estimation of Regional Dietary Exposure to Dioxins in Fish in Japan on the Basis of Market and Fish Distribution Network Data

Dietary consumption of fish is the greatest contributor to dioxin exposure of the general population in Japan. Unlike with other routes of exposure to dioxins, exposure via foodstuffs does not necessarily occur from local sources. Clarifying the distribution of fish from the catch area to local markets helps to control dioxin exposure from the head of the distribution chain down. We analyzed the data from 30 major central wholesale fish markets to determine both the market share of fish by catch area and the market share of major fish types in fish consumption markets. Probabilistic estimation of dietary exposure of the general population to dioxins in fish was conducted in seven regions in Japan. Probabilistic density functions (PDFs) were assigned to express the variability of data from monitoring of dioxin levels in fish by catch area or by fish type. From histograms of dioxin levels in fish by catch area, the mean and 5th to 95th percentile range of dietary exposure to dioxins in the region with the largest 95th percentile value were estimated, respectively, as 55.5 and 12.9–172.9 pg-TEQ/day. No statistically significant differences in dietary exposure to dioxins in fish were observed among the seven regions. Some specific coastal catch areas and some types of fish that had a greater impact than others on exposure were pinpointed for each region.     

A Note on the Evolution of the Stamens in the Laurales,with Emphasis on the Lauraceae

The number of pollen sacs per anther and their position have traditionally been among the most important systematic characters in the Lauraceae. Opinions differ, however, about the evolutionary direction in these characters. This paper is intended to draw attention to little known morphological features of the stamens, in particular to transitions between disporangiate and tetrasporangiate anthers. In addition, the phylogenetic derivation of the stamen appendages is discussed. It is hypothesized that branched androecial structures may be primitive within the Laurales, if not in the angiosperms as a whole.     

A Note on and a Proposal with Respect to the Transportation of Nuclear Cargoes in International Straits

The adoption of an international agreement to create a regime of prior communication and cooperation in the establishment of a precautionary contingency plan for nuclear spills for straits used for international navigation is vital as the peaceful uses of nuclear energy continue to be attractive to states, including Asian states, as a component of a sustainable energy strategy. With the expected rise in nuclear commerce for peaceful purposes, the need for a comprehensive framework for nuclear cargoes and wastes exists and this includes suitable response action plans for nuclear spills. The international instruments adopted by the International Maritime Organisation and the International Atomic Energy Agency provided a framework for the safe and secure carriage of nuclear materials from, other things, piracy, terrorism and sabotage. This article focuses on the movement of vessels carrying nuclear cargoes and wastes through the territorial sea waters of international straits and the necessary relationship that should exist between the vessels and the adjacent coastal States.     

A Note on the Local Current Associated with the Rising Phase of a Propagating Impulse in Nonmyelinated Nerve Fibers

To extend our recent paper dealing with the cable properties and the conduction velocity of nonmyelinated nerve fibers (Bull. Math. Biol. 64, 1069; 2002), the behavior of the local current associated with the rising phase of a propagating action potential is discussed. It is shown that the process of charging the membrane capacity by means of the local current plays a crucial role in determining the velocity of nerve conduction. The symmetry of the local current with respect to the boundary between the resting and active regions of the nerve fiber is emphasized. It is noted that there are several simple quantitative rules governing the intensities of the capacitive, resistive and total membrane currents observed during the rising phase of an action potential.     

Effect of the C-terminal domain of Vibrio proteolyticus chitinase A on the chitinolytic activity in association with pH changes

Aims: To reveal the cause of the difference in activity of chitinase A from Vibrio proteolyticus and chitinase A from a strain of Vibrio carchariae (a junior synonym of Vibrio harveyi), we investigated the pH‐dependent activity of full‐length V. proteolyticus chitinase A and a truncated recombinant corresponding to the V. harveyi form of chitinase A. Methods and Results: After overexpression in Escherichia coli strain DH5α, the full‐length and truncated recombinant chitinases were purified by ammonium sulphate precipitation and anion exchange column chromatography. Chitinase activity was measured at various pH values using α‐crystal and colloidal chitins as the substrate. The pH‐dependent patterns of the relative specific activities for α‐crystal chitin differed between the full‐length and truncated recombinant chitinases, whereas those for colloidal chitin were similar to each other. Conclusion: The difference in the activity of V. proteolyticus chitinase A and V. harveyi chitinase A might be partly due to a change in the pH dependence of the chitinase activities against α‐crystal chitin, resulting from C‐terminal processing. Significance and Impact of Study: The present results are important findings for not only ecological studies on the genus Vibrio in association with survival strategies, but also phylogenetic studies.     

Biogenesis,characterization, and the effect of vicenin‐gold nanoparticles on glucose utilization in 3T3‐L1 adipocytes: A bioinformatic approach to illuminate its interaction with PTP 1B and AMPK

This study reported the synthesis of Vicenin‐2 gold nanoparticles (VN‐AuNPs) and evaluated their effect on the glucose utilization efficiency of 3T3‐L1 adipocytes. The VN‐AuNPs were characterized by microscopic, DLS and spectral analysis. The bio‐reducing efficiency of Vicenin‐2 (VN) was computed and confirmed by HPLC analysis. The stability of VN‐AuNPs in various physiological media was explored. The cytotoxicity and glucose uptake assays were performed in 3T3‐L1 adipocytes. The docking of VN with PTP1B and AMPK was also performed. The color change and UV absorption at 537 nm preliminarily confirmed the VN reduced gold nanoparticles. The VN‐AuNPs appeared as spherical particles (57 nm) and face centered cubic crystals under TEM and XRD analysis, respectively. Its zeta potential was found to be ?6.53 mV. The FT‐IR spectra of VN and its AuNPs confirmed its stability. The computed reducing potential of VN was similar to the extent of VN utilized during the synthesis of VN‐AuNPs. The VN‐AuNPs showed a remarkable stability in different physiological media. At 100 µM concentration, VN‐AuNPs displayed 78.21% cell viability. A concentration dependent increase in glucose uptake was noted in 3T3‐L1 adipocytes when incubated with VN‐AuNPs. The docking data revealed a strong interaction of VN with the binding pockets of PTP1B and AMPK. This demonstrates that the fabricated VN‐AuNPs might enhance the intracellular VN availability mediated cellular glucose utilization and this would serve as a novel nanodrug for the management of diabetes. © 2015 American Institute of Chemical Engineers Biotechnol. Prog., 31:1096–1106, 2015