Cultivar x environment interactions in sorghum,Sorghum bicolor (L.) moench

Summary The most significant and important interactions in 2, and 3-year sorghum zonal trials were location x year, cultivar x location and cultivar x location x year. Cultivar x year interaction was significant in one out of four ecologic zones used in the trials. The variance components were relatively small with the second order interaction variance component larger than the first order types involving cultivars. Environmental variance was the largest in all four zones.Computations on theoretical standard error of cultivar means suggest that six replications, eight locations and four years is an ideal testing procedure in the Northern Guinea Savanna, while in the Sudan Savanna, the combination is better with four replications, eight locations and three years. The true value or performance of a variety is most effectively obtained by increasing the number of years, while increasing number of replications is the least effective.     

Development of a sensitive high-performance thin-layer chromatography method for estimation of ranitidine in urine and its application for bioequivalence decision for ranitidine tablet formulations

A sensitive and simple HPTLC method was developed for estimation of ranitidine in human urine. The drug was extracted from urine after basification using dichloromethane. Dichloromethane extract was spotted on silica gel 60 F254 TLC plate and was developed in a mixture of ethyl acetate-methanol-ammonia (35:10:5 v/v) as the mobile phase and scanned at 320 nm. The RF value obtained for the drug was 0.67 +/- 0.03. The method was validated in terms of linearity (50-400 ng/spot), precision and accuracy. The average recovery of ranitidine from urine was 89.35%. The proposed method was applied to evaluate bioequivalence of two marketed ranitidine tablet formulations (150 mg, Formulation I and Formulation 2) using a crossover design by comparing urinary excretion data for unchanged ranitidine in six healthy volunteers. Various pharmacokinetic parameters like peak excretion rate [(dAU/dt)max], time for peak excretion rate (tmax), AUC0-24, AUC0-infinity, cumulative amount excreted were calculated for both formulations and subjected to statistical analysis. The relative bioavailability of Formulation 2 with respect to Formulation 1 was 93.76 and 95.31% on the basis of AUC0-24 and cumulative amount excreted, respectively. Statistical comparison of various pharmacokinetic parameters indicated that the two ranitidine tablet formulations are bioequivalent.     

First Passage Time Models for Prediction of Developmental Stages

The problem of predicting the date of a developmental stage for plants or animals is formulated as a first passage time problem for a random process, e.g. accumulated degree-days. By a suitable embedding in a continuous time model the likelihood becomes a smooth function of the parameters, which may be estimated by use of the maximum likelihood method. A set of data on waiting times from sowing to heading for spring barley is analysed. For data of this type we suggest models with variance components corresponding to stations and years. Modifications to take into account variables in addition to temperature, e.g. day length, soil properties and variety effects are briefly discussed. The transform both sides technique of CARROLL and RUPPERT (1984) is used to stabilize the variance and to achieve approximate normality of the residuals.     

Lower Confidence Limits for the Positive Linear Combination of two Variances

An alternative method for determining the approximate lower confidence limits for the positive linear combination of two variances based on an approach similar to BULMER (1957) has been proposed. The probability coverage of the proposed alternative limits has been compared with the other existing methods.     

A Measure to Evaluate the Closeness of Satterthwaite's Approximation

Satterthwaite's approximation of the distribution of a nonnegative linear combination of independent mean squares is addressed in this article. A measure is developed to quantify the closeness of this approximation by using certain optimization results given by THIBAUDEAU and STYAN (1985). The main advantage of the proposed measure is to provide a theoretical framework for determining conditions under which Satterthwaite's approximation may be inadequate. This is demonstrated in three examples portraying frequently encountered problems in analysis of variance.     

How Large is the Probability for the Estimate of a Variance Component to be Negative?

For a balanced one-way classification, where the normally distributed observations obey a random model y_ij=μ+b_i+c_ij with two variance components var (b_i) = δ and var (c_ij) = δ, the probability is given that the analysis of variance estimate of δ will be negative. This probability depends on δ/δ and the degrees of freedom in the ANOVA table. Tables for this probability are given. If the normally distributed observations obey an intra-class correlation model, the probability that the Mean Square between groups is smaller than the Mean Square within groups can also be evaluated from the given tables.     

Genetic parameters affecting 180-days standardised milk yield, test-day milk yield and lactation length in Spanish Assaf (Assaf.E) dairy sheep

A total of 42,197 records of test-day milk yield (TDY) and 7654 lactations from 3854 individuals belonging to the Spanish Assaf (Assaf.E) breed were analysed using univariate and multivariate models to estimate genetic parameters affecting TDY, total milk yield standardised to 180 days (MY₁₈₀) and lactation length (LL) in order to asses their possibilities of use in the selection scheme of the Assaf.E population. Estimates of h² were, in general, on the lower limit of those usually reported for the three analysed traits. Estimates of heritability for MY₁₈₀ varied from 0.131 to 0.177. Estimates of h² for LL and TDY were consistent regardless the estimation model being of, roughly, 5% and 10%, respectively. The estimates for the permanent environmental effect (c²) of TDY were consistently the same (0.27–0.28) regardless the fitted model whilst they showed large differences for LL and MY₁₈₀. Genetic correlations were always positive and high ranging from 0.792 for the pair LL-TDY to 0.999 for the pair MY₁₈₀-TDY. Correlations between permanent environmental effects were even higher ranging from 0.932 for the pair LL-MY₁₈₀ and 0.999 for the pair MY₁₈₀-TDY. The advantages of using TDY as selection criterion in the Assaf.E improvement scheme are discussed.     

The effects of selection for gain in mice on the direct-maternal genetic correlation

Components of genetic variation for postweaning growth traits were estimated for both control and growth stocks of mice. The effect of phenotypic selection for gain, which genetically combines selection for additive direct and maternal effects, on additive genetic variance components, heritability, and additive genetic correlationsis discussed. Quantitative genetic theory predicts that simultaneous selection for two metric traits in the same direction will cause the genetic correlation between the two traits to become more negative. The results presented in this paper conflict with this theory. The direct-maternal additive genetic correlation was more negative in the control line (with 356 mice) than in the growth-selected line (with 320 mice) for the three traits analyzed (0.310 vs 0.999 for 21-day weight, 0.316 vs 1.000 for 42-day weight, and 0.506 vs 1.000 for gain from 21–42 days). Estimates were obtained by restricted maximum likelihood (REML) computed under a derivative free algorithm (DFREML).     

Robust estimation of multivariate covariance components

In many settings, such as interlaboratory testing, small area estimation in sample surveys, and heritability studies, investigators are interested in estimating covariance components for multivariate measurements. However, the presence of outliers can seriously distort estimates obtained using standard procedures such as maximum likelihood. We propose a procedure based on M-estimation for robustly estimating multivariate covariance components in the presence of outliers; the procedure applies to balanced and unbalanced data. We present an algorithm for computing the robust estimates and examine the performance of the estimator through a simulation study. The estimator is used to find covariance components and identify outliers in a study of variability of egg length and breadth measurements of American coots.     

Androgynous rex - the utility of chevrons for determining the sex of crocodilians and non-avian dinosaurs

The sex of non-avian dinosaurs has been inferred on numerous occasions using a variety of anatomical criteria, but the efficacy of none has been proven. Nearly 50 years ago Romer suggested that the cranial-most or first chevron in the tails of some reptiles, including crocodilians, is sexually dimorphic. Recent work on this subject purportedly substantiated that the female first chevron articulates in a more caudal position than in males. Furthermore, it was concluded that this element is shorter in females. These phenotypic attributes theoretically provide a broader cloacal passageway for eggs by ovipositing females and a greater attachment area for male “penile retractor muscles”. Because theropod dinosaurs such as Tyrannosaurus rex presumably show similar variation in chevron anatomy, the same criteria has been advocated for sexing dinosaurs. We tested the neontological model for the chevron sexual dimorphism hypothesis using a skeletonized growth series of American alligators (Alligator mississippiensis) of known sex. No statistical support for the hypothesis was found. Furthermore, analysis of a diversity of crocodilian taxa from museum collections revealed similar findings suggesting the alligator results are not taxon specific. Study of well-preserved tyrannosaurid dinosaurs in museum collections showed nearly invariant chevron positioning like that seen in crocodilians. This suggests the usefulness of chevron anatomy for sexing dinosaurs is tenuous.     

A Case Study in Hierarchical Modeling: Agriculture and Prostate Cancer in Iowa

Epidemiologists who study cancer etiology are often asked to conduct etiologic investigations of environmental agents and cancer in populations. The difficulty in estimating the effects of relevant exposures arises because environmental data are usually available only on an aggregate level, such as by county. Individual exposures to chemical agents are usually unknown, as is the joint distribution between the environmental exposure level and disease status. Frequently, some information on the cancer cases themselves is available from a disease registry which typically includes age at diagnosis, gender, and race, and these factors may require control in the analysis. An appropriate statistical model which incorporates this nested data structure is needed. This paper illustrates application of a special case of mixed model, namely hierarchical model, to the study of agricultural factors and prostate cancer in Iowa.