The ordinary Wilcoxon signed rank test table provides confidence intervals for the median of one population. Adjusted Wilcoxon signed rank test tables which can provide confidence intervals for the median and the 10th percentile of one population are created in this paper. Base-(n + 1) number system and theorems about property of symmetry of the adjusted Wilcoxon signed rank test statistic are derived for programming. Theorem 1 states that the adjusted Wilcoxon signed rank test statistic are symmetric around n(n + 1)/4. Theorem 2 states that the adjusted Wilcoxon signed rank test statistic with the same number of negative ranks m are symmetric around m(n+1)/2. 87.5% and 85% confidence intervals of the median are given in the table for n = 12, 13,…, 29 to create approximated 95% confidence intervals of the ratio of medians for two independent populations. 95% and 92.5% confidence intervals of the 10th percentile are given in the table for n = 26, 27, 28, 29 to create approximated 95% confidence regions of the ratio of the 10th percentiles for two independent populations. Finally two large datasets from wood industry will be partitioned to verify the correctness of adjusted Wilcoxon signed rank test tables for small samples. 相似文献
In consumer preference studies, it is common to seek a complete ranking of a variety of, say N, alternatives or treatments. Unfortunately, as N increases, it becomes progressively more confusing and undesirable for respondents to rank all N alternatives simultaneously. Moreover, the investigators may only be interested in consumers’ top few choices. Therefore, it is desirable to accommodate the setting where each survey respondent ranks only her/his most preferred k (k?N) alternatives. In this paper, we propose a simple procedure to test the independence of N alternatives and the top-k ranks, such that the value of k can be predetermined before securing a set of partially ranked data or be at the discretion of the investigator in the presence of complete ranking data. The asymptotic distribution of the proposed test under root-n local alternatives is established. We demonstrate our procedure with two real data sets. 相似文献
This paper examines processes of habit reshuffling and change in different contexts of household formation, looking specifically at habits regarding eating and commensality. It is based on a study of 14 couples, each with one English and one French partner, half of whom live in France, half in England. We examine the interplay between partners, their determination to eat together as a couple, and the various ‘orders’ associated with their commensal pact (diets, routines, extra‐marital commensality), both when they start as couples and as parents of young children. We draw on the specificity of cross‐national couple experience to cast light on processes of adjustment – to one another, and to the new country of residence for the migrant partner. In particular, we explore the potential of notions of ‘split’ and ‘solid’ ‘patrimonies of incorporated habits’, ‘re‐shuffling’ of habits and dispositions, and ‘habit memory’, to characterize the dynamics of habits at play in each of the orders under scrutiny. Overall, the paper contributes to the analysis of habit as the ‘stuff’ of orders of everyday life. 相似文献
A data table arranged according to two factors can often be considered a compositional table. An example is the number of unemployed people, split according to gender and age classes. Analyzed as compositions, the relevant information consists of ratios between different cells of such a table. This is particularly useful when analyzing several compositional tables jointly, where the absolute numbers are in very different ranges, e.g. if unemployment data are considered from different countries. Within the framework of the logratio methodology, compositional tables can be decomposed into independent and interactive parts, and orthonormal coordinates can be assigned to these parts. However, these coordinates usually require some prior knowledge about the data, and they are not easy to handle for exploring the relationships between the given factors. Here we propose a special choice of coordinates with direct relation to centered logratio (clr) coefficients, which are particularly useful for an interpretation in terms of the original cells of the tables. With these coordinates, robust principal component analysis (rPCA) is performed for dimension reduction, allowing to investigate relationships between the factors. The link between orthonormal coordinates and clr coefficients enables to apply rPCA, which would otherwise suffer from the singularity of clr coefficients. 相似文献
Self-employment, regardless of its quality, offers the advantage of keeping individuals employed, thereby contributing to a continuous work history and earnings over the lifetime. But in the individual life cycle, how important is self-employment, particularly given evidence that self-employment spells tend to be of short duration? Also, to what extent does self-employment contribute to race and gender differences in lifetime employment? We use an increment-decrement life table to analyze the role of self-employment in differentiating the working lifetimes of blacks and women from those of white men. White men's average lifetime years spent in self-employment exceed black men's by as many as six years, thus accounting for nearly the entire difference between whiteand black men's lifetime years employed. White women's self-employment episodes,while almost as numerous as white men's, are shorter and less connected towage-employment episodes. Black women's self-employment episodes are bothinfrequent and of short duration.