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.
The efficiency of a sequential test is related to the “importance” of the trials within the test. This relationship is used to find the optimal test for selecting the greater of two binomial probabilities, pα and pb, namely, the stopping rule is “gambler's ruin” and the optimal discipline when pα+pb≤ 1 (≥ 1) is play-the-winner (loser), i.e. an α-trial which results in a success is followed by an α-trial (b-trial) whereas an α-trial which results in a failure is followed by α b-trid (α-trial) and correspondingly for b-trials. 相似文献
Summary The three year (1988–1990) life tables ofNephotettix cincticeps were constructed, and the daily survival rate and longevity of female adults were estimated by Hokyo and Kiritani’s (1967)
method for the overwintering and the first-generations on the foxtail grass in Okayama, southwestern Japan. The life tables
and the population parameter values estimated were compared with those in the other generations on rice. The FARMCOP suction
sampler was employed to survey the population density.
The durations of pre-ovarial maturation of female adults of the 1st generation on foxtail grass and rice seedling were similar.
Longevity of adults of the overwintering and the first generations which emerged on the wild host was longer than that of
the other generations (2nd and 3rd generations) on the rice plants. Fecundity of females decreased successively as the generation
proceeded and it became lowest in the final 3rd generation.
Only about 3.5 percent of first-instar nymphs of the 1st generation emerged as adults in the fallow field. The survival rate
of nymphs on foxtail grass was always lower in comparison with that on rice plants. However, the survival rates of nymphs
on foxtail grass and rice seedling were not significantly different from each other under laboratory conditions. In the fields,
senescence of foxtail grass occurred in the midst of nymphal period of the 1st generation. The survival rate of nymphs on
foxtail grass decreased with the increasing in the nymphal density. Abundance of spiders during the 1st generation was higher
than that in the early stage of rice plants. 相似文献