共查询到20条相似文献,搜索用时 15 毫秒
1.
Balanced incomplete block designs (BIBDs) play important role in design of experiments, especially in field experiments. These designs ensure that treatments are compared with equal precision. Several methods are available in the literature to construct BIBDs but in this article some infinite series of these designs are presented by method of cyclic shifts. This method expresses some standard properties of a design just through examining the sets of shifts rather than studying the whole design. 相似文献
2.
B. N. Mandal 《统计学通讯:模拟与计算》2015,44(6):1405-1411
This article proposes a linear integer programming-based algorithm to construct balanced incomplete block designs. Working of the algorithm is illustrated with the help of an example. The algorithm is able to generate balanced incomplete block designs very fast in most of the cases. The performance of the proposed algorithm is compared with other algorithms proposed in the literature. It is demonstrated that the proposed algorithm is competitive with the existing algorithms. 相似文献
3.
Narelle F. Smith Deborah J. Street 《Australian & New Zealand Journal of Statistics》2003,45(2):181-194
This paper investigates the block total response method proposed by Raghavarao and Federer for providing accurate estimates of the base rates of sensitive characteristics during surveys. It determines the best balanced incomplete block design to use to estimate the base rates for three, four, five and six sensitive attributes respectively, given a maximum total number of 13 questions. The estimates obtained from this method have smaller variance than estimates obtained using the similar, but more popular, unmatched count technique. 相似文献
4.
The Construction of Optimal Imcomplete Block Designs When Observations Within a Block are Correlated
An algorithmic method is described for the construction of optimal incomplete block designs when a known correlation structure is assumed for observations from plots in the same block. The method is applicable to a wide class of designs and correlation structures. Some examples are given to illustrate the procedure. 相似文献
5.
In this paper we develop relatively easy methods for constructing hypercubic designs from symmetrical factorial experiments
for t=v
m
treatments with v=2, 3. The proposed methods are easy to use and are flexible in terms of choice of possible block sizes. 相似文献
6.
《统计学通讯:理论与方法》2012,41(13-14):2297-2304
The subject of our study is the chemical balance weighing design in which the errors are correlated and have equal variances. A lower bound for the variance of estimated total weight is obtained and the necessary and sufficient conditions for the attainability of this lower bound are given. Some designs for which the lower bound is attainable are considered. 相似文献
7.
Premadhis Das 《统计学通讯:理论与方法》2017,46(16):8155-8165
Constructions of blocked mixture designs are considered in situations where BLUEs of the block effect contrasts are orthogonal to the BLUEs of the regression coefficients. Orthogonal arrays (OA), Balanced Arrays (BAs), incidence matrices of balanced incomplete block designs (BIBDs), and partially balanced incomplete block designs (PBIBDs) are used. Designs with equal and unequal block sizes are considered. Also both cases where the constants involved in the orthogonality conditions depend and do not depend on the factors have been taken into account. Some standard (already available) designs can be obtained as particular cases of the designs proposed here. 相似文献
8.
Gupta, Nigam and Kumar (1982) proposed a sampling scheme using certain combinatorial properties of balanced incomplete block design (BIBD) which realises first order inclusion probabilities proportional to measure of size(IPPS). Here their results have been extended by presenting samplng schemes realising pre-assigned sets of inclusion probabilities of first two orders. 相似文献
9.
This note presents an extension of Q-method of analysis for binary designs given by Rao (1956) to n-ary balanced and partially balanced block designs. Here a linked n-ary block (LNB) design is defined as the dual of balanced n-ary (BN) design. Having a note on Yates’ (1939, 1940) method of P-analysis, we further extend the expressions for binary linked block (LB) designs given by Rao (1956) to linked n-ary block (LNB) designs which admit easy estimation of parameters for these type of all n-ary designs. 相似文献
10.
Two series of three symbol balanced arrays of strength two are constructed. Using special classes of BIB designs, two classes of two symbol orthogonal arrays of strength three are constructed. 相似文献
11.
In this paper a method for the construction of a class of row-column designs with good statistical properties and high efficiency is presented. The class of designs produced is shown to exhibit balance, orthogonality and adjusted orthogonality. The efficiencies of these designs are investigated in detail, and they are shown to be very high, and possibly maximal in some cases. 相似文献
12.
Mike Jacroux 《Journal of statistical planning and inference》1984,9(2):259-267
In this paper we consider proper block designs and derive an upper bound for the number of blocks which can have a fixed number of symbols common with a given block of the design. To arrive at the desired bound, a generalization of an integer programming theorem due to Bush (1976) is first obtained. The integer programming theorem is then used to derive the main result of this paper. The bound given here is then compared with a similar bound obtained by Kageyama and Tsuji (1977). 相似文献
13.
Javid Shabbir 《统计学通讯:理论与方法》2013,42(12):2177-2185
Kadilar and Cingi (2006) have introduced an estimator for the population variance using an auxiliary variable in simple random sampling. We propose a new ratio-type exponential estimator for population variance which is always more efficient than usual ratio and regression estimators suggested by Isaki (1983) and by Kadilar and Cingi (2006). Efficiency comparison is carried out both mathematically and numerically. 相似文献
14.
Judges rank k out of t objects according to m replic ations of abasic balanced incomplete block design with bblocks. In Alvo and Cabilio(1991),it is shown that the Durbin test, which is the usual test in this situation, can be written in terms of Spearman correlations between the blocks, and using a Kendall correlation, they generated a new statistic for this situation.This Kendall tau based statistic has a richer support than the Durbin statistic, and is at least as efficient.In the present paper,exact and simulation based tables are generated for both statistics, and various approximations to these null distributions are considered and compared. 相似文献
15.
K. G. Russell 《统计学通讯:理论与方法》2013,42(15):1479-1488
Balanced Incomplete Block Designs have been employed as row-column designs by a number of researchers. In this paper necessary and sufficient conditions for the connectedness of such designs are obtained, and methods for their optimisation are presented. The optimal design is shown to be always connected. 相似文献
16.
Remove unwanted variation (RUV) is an estimation and normalization system in which the underlying correlation structure of a multivariate dataset is estimated from negative control measurements, typically gene expression values, which are assumed to stay constant across experimental conditions. In this paper we derive the weight matrix which is estimated and incorporated into the generalized least squares estimates of RUV-inverse, and show that this weight matrix estimates the average covariance matrix across negative control measurements. RUV-inverse can thus be viewed as an estimation method adjusting for an unknown experimental design. We show that for a balanced incomplete block design (BIBD), RUV-inverse recovers intra- and interblock estimates of the relevant parameters and combines them as a weighted sum just like the best linear unbiased estimator (BLUE), except that the weights are globally estimated from the negative control measurements instead of being individually optimized to each measurement as in the classical, single measurement BIBD BLUE. 相似文献
17.
Let x ≥ 0 and n ≥ 2 be integers. Suppose there exists an orthogonal array of strength 2 in n symbols with q rows and columns where , and d is a positive integer. Then d is called the deficiency of the orthogonal array. The question of embedding such an array into a complete array is considered for the case d ≥ 3. It is shown that for d = 3 such an embedding is always possible if n ≥ 2(d ? 1)2(2d2 ? 2d + 1). Partial results are indicated if d ≥ 4 for the embedding of a related design in a corresponding balanced incomplete block design. 相似文献
18.
Damaraju V. Rathnam 《统计学通讯:理论与方法》2013,42(8):2825-2833
The analysis of doubly-balanced incomplete block designs (also known as 3-designs) with missing values using a competing effects model is discussed and illustrated with a numerical example. 相似文献
19.
保险公司有不同的利益主体,投资者和公司管理者关注的重点是公司效率,而投保人和监管机构关注的核心是保险公司的偿付能力,那么效率与偿付能力是否存在冲突,或者说,监管机构的偿付能力约束是否影响公司效率以及影响程度究竟如何,是业界和学术界关注的主要内容。本文从金融中介的视角,考虑不同利益主体,把偿付能力作为一产出指标,通过分析该指标的介入对效率的影响来研究偿付能力与效率之间的关系;在实证研究中,引入DEA的扩展模型—RAM,因为相对于DEA,RAM能更全面地反映保险公司的相对效率,所得到的效率值具有严格单调性,而且能处理指标出现负值的情况,这对于不多的样本特别具有吸引力;在检验不同类型保险公司的效率差异时,考虑到RAM方法得到的效率值是一个序数概念而不是绝对数量,本文采用Mann-Whitney秩和方法进行检验。 相似文献
20.
Asghar Seif Cédric Heuchenne Erwin Saniga M. B. Moghadam 《Journal of applied statistics》2011,38(11):2459-2469
Recent studies have shown that using variable sampling size and control limits (VSSC) schemes result in charts with more statistical power than variable sampling size (VSS) when detecting small to moderate shifts in the process mean vector. This paper presents an economic-statistical design (ESD) of the VSSC T2 control chart using the general model of Lorenzen and Vance [22]. The genetic algorithm approach is then employed to search for the optimal values of the six test parameters of the chart. We then compare the expected cost per unit of time of the optimally designed VSSC chart with optimally designed VSS and FRS (fixed ratio sampling) T2 charts as well as MEWMA charts. 相似文献