Exact sample size determination for a single Poisson random sample

Classical power analysis for sample size determination is typically performed in clinical trials. A “hybrid” classical Bayesian or a “fully Bayesian” approach can be alternatively used in order to add flexibility to the design assumptions needed at the planning stage of the study and to explicitly incorporate prior information in the procedure. In this paper, we exploit and compare these approaches to obtain the optimal sample size of a single-arm trial based on Poisson data. We adopt exact methods to establish the rejection of the null hypothesis within a frequentist or a Bayesian perspective and suggest the use of a conservative criterion for sample size determination that accounts for the not strictly monotonic behavior of the power function in the presence of discrete data. A Shiny web app in R has been developed to provide a user-friendly interface to easily compute the optimal sample size according to the proposed criteria and to assure the reproducibility of the results.     

Biometrico-statistical evaluation of a biological sample

The total animal population percentage composition, found during period May-August 1979 on tunny-fishing coco-fibres nets in Camogli (Genoa), has been valued in relation to the depth. In particular, connections between population and presence of some fish species draughted has been studied, considering ecological, reproductive and trophic habits of fishes, in order to value relations between the influence these populations exert on fishing and biological characteristics of the quantitatively more meaningful fish species.     

The fertility of a sample of American elites

THE HUMAH CONDITION. HOW DID WE GET HERE AND WHERE ARE WE GOING?: By Frederick Osborn. Hugh Lauter Levin Associates, New York, 1974. 82 pp.

HUMANISTIC PERSPECTIVES IN MEDICAL ETHICS: Edited by Maurice B. Visscher. Prometheus Books, Buffalo, New York, 1972. 310 pp. $11.95.

MAN FOR MAN: A MULTIDISCIPLINARY WORKSHOP ON EFFECTING MAN'S SOCIAL AND PSYCHOLOGICAL NATURE THROUGH COMMUNITY ACTION: Edited by John L. Carleton and Ursula Mahlendorf. Charles C Thomas, Springfield, Illinois, 1973. 355 pp. $10.95.

THE ORIGINS OF LIFE: By Cyril Ponnamperuma. E. P. Dutton, New York, 1972. 215 pp. $7.95.

PARTNERWAHL UND EHE—THEORIE UND PRAXIS: Edited by Hans W. Jürgens. Wissenschaftlicher Verlag Altmann, Hamburg, Germany, 1972. 217 pp.     

Chromosome mosaicism in a population sample.

An analysis has been made of mosaicism found in the different types of chromosome abnormalities among the 19000 persons examined at the Cytogenetic Laboratory, Risskov. The percentage with mosaicism was 36 in both triple-X and Turner's syndrome, it was 7 and 11% in XYY and Klinefelter's syndrome, respectively, and 2 in autosomal abnormalities. We found a mosaicism frequency of 11% in population studies with 5 cells analyzed primarily compared with 7% in other studies, in which 10-50 cells were analyzed primarily. (The difference is not significant.) The total frequency of mosaicism was 8%. The first cell with the chromosome aberration establishing the mosaicism was found among the first 5 cells in 40 of the 44 cases with mosaicism, and all but one of the 44 cases would have been established as mosaics, if the guidlines indicated by Bochkov et al. (1974) had been followed; that is 11 cells analyzed primarily, and if one of these cells has a chromosome aberration, the number of cells analyzed is increased to 17; if 2 cells have the same chromosome aberration, the number of cells analyzed is extended to 23, and if 3 cells with the same chromosome aberration is found among these 23 cells, the mosaicism is established. Aneuploid or structural chromosome abnormalities present in all cells may be detected by analysis of 2-3 cells of good quality. Mosaicism with 2 or more cell clones with different chromosome patterns are extremely difficult to detect, if the percentage of cell clones with chromosome aberration is low. The incidence of chromosome abnormalities found in all cells in newborn children in the different studies is very similar as shown in a recent survey of 6 different studies by Jacobs et al. (1974). The incidence of mosaicism varies according to the frequency of artefactual aneuploidy, the variety of tissue studied, number of cells analyzed from each tissue as well as the acuity of the observer and the checking procedures.     

Genetic structure of a population sample of apomictic dandelions

In Northern Europe, dandelion populations consist solely of triploid or higher polyploid apomicts. Without a regular sexual cycle or lateral gene transmission, a clonal structure is expected for Taraxacum apomicts, although this was not found by compatibility analysis. In this study, we investigate whether this observation could be suported by performing independent tests based on data from hypervariable microsatellite markers as well as more conservative data based on allozymes and matrilinear cpDNA markers. In addition, population genetic methods were used to test departure from panmictic expectations, which is expected for clonal populations. Results indicated that many data sets, again, did not agree with expectations from clonal evolution because only small groups of genotypes exhibit no marker incompatibility. Population genetic analysis revealed that virtually all genotypes, but not individuals, agreed with random segregation and genotypic equilibria. Exceptions were genotypes with rare allozyme alleles or nearly identical microsatellite genotypes. Consequently, a population sample of apomictic dandelions essentially harbours genotypes that resulted from segregation and/or recombination and only a few genotypes that may have differentiated by somatic mutations.     

The coverage of a random sample from a biological community.

A taxonomic group will frequently have a large number of species with small abundances. When a sample is drawn at random from this group, one is therefore faced with the problem that a large proportion of the species will not be discovered. A general definition of quantitative measures of "sample coverage" is proposed, and the problem of statistical inference is considered for two special cases, (1) the actual total relative abundance of those species that are represented in the sample, and (2) their relative contribution to the information index of diversity. The analysis is based on a extended version of the negative binomial species frequency model. The results are tabulated.     

Determining the effective sample size of a parametric prior

Summary .   We present a definition for the effective sample size of a parametric prior distribution in a Bayesian model, and propose methods for computing the effective sample size in a variety of settings. Our approach first constructs a prior chosen to be vague in a suitable sense, and updates this prior to obtain a sequence of posteriors corresponding to each of a range of sample sizes. We then compute a distance between each posterior and the parametric prior, defined in terms of the curvature of the logarithm of each distribution, and the posterior minimizing the distance defines the effective sample size of the prior. For cases where the distance cannot be computed analytically, we provide a numerical approximation based on Monte Carlo simulation. We provide general guidelines for application, illustrate the method in several standard cases where the answer seems obvious, and then apply it to some nonstandard settings.     

Development of a sample preparation method for fungal proteomics

Since filamentous fungi including basidiomycetous fungi possess an exceptionally robust cell wall as in microorganisms, effective extraction of intracellular proteins is a key step for fungal proteomic studies. To overcome the experimental obstacle caused by cell walls, we utilized fungal protoplasts, prepared from the brown-rot basidiomycete, Tyromyces palustris. The amount and quality of proteins extracted from the protoplast cells were much higher than that from the mycelial cells. Quantitative comparisons of proteome maps prepared from mycelial and protoplast cells indicated protein spots with a wider range of molecular weights and pIs in the protoplast sample. Furthermore, no streaking or tailing was observed in the protoplasts, suggesting that effective extraction of intracellular proteins from protoplasts might help suppress degradation of proteins during this process. In addition to the efficiency of protein extraction, simple and efficient subcellular fractionation was also achieved using protoplast cells.