摘要:

In this article, a new method for producing estimates from a multiple frame survey is presented. The discussion in this article is restricted to sample designs in which a stratified simple random sample is selected independently from each frame. The estimation technique outlined, however, can be applied to more complex sample designs. It is assumed that units selected in more than one sample can be identified. This estimation technique is based on the fact that a multiple frame sample can be viewed as a special case of selecting two or more samples independently from the same frame. As a result, standard techniques from the literature for estimating from a single frame, such as the Horvitz—Thompson estimator or ratio estimation, can be applied to multiple frame samples. These standard techniques for estimating from a single frame are compared, based on data from a Statistics Canada survey, with the usual estimators suggested in the literature for estimating from a multiple frame sample design. These multiple frame estimators were first proposed by Hartley (1962). They have a common feature of averaging together separate estimates from two or more frames of the domains corresponding to the overlap of these frames. The numerical example given shows that the estimators suggested in this article provide lower variances in certain cases than the Hartley estimators. These estimators are also simpler to compute and extend more easily to three or more frames than the Hartley estimators. One of the single frame estimators considered is the raking ratio estimator. The complexity of its variance formula has discouraged its use in the past. In the numerical example, it is suggested that this problem can be circumvented by the simple technique of numerically linearizing the values of the observations repeatedly.

ISSN:0162-1459    

DOI:10.1080/01621459.1986.10478376

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor

摘要:

The estimation of growth curves has been studied extensively in parametric situations. Here we consider the nonparametric estimation of an average growth curve. Suppose that there are observations from several experimental units, each following the regression model y(xi)=f(xj)+ε(j=1,…,n), where ε1, …, εnare correlated zero mean errors and 0≤x1<…<xn≤1 are fixed constants. We study some of the properties of a kernel estimator off(x). Asymptotic and finite-sample results concerning the mean squared error of the estimator are obtained. In particular, the influence of correlation on the bandwidth minimizing mean squared error is discussed. A data-based method for selecting the bandwidth is illustrated in a data analysis.

ISSN:0162-1459    

DOI:10.1080/01621459.1986.10478377

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor

摘要:

When both variance and bias errors are present, the choice of an experimental design to fit a response surface depends on the choice of the region of interest. Box and Draper (1959, 1963) and Draper and Lawrence (1965a, 1966) investigated spherical and cuboidal regions, respectively. Both of these regions can, however, be regarded as special cases of a more general flexible region family, depending on a single parameter. In this manner, the sensitivity of the design criterion can be studied and more general results can be obtained. The problem is set out here forkpredictor variables, and specific designs are provided fork= 2 predictor variables when variance and bias errors are of roughly the same order. A broad rule of thumb that emerges from this work is that, for practical situations involving both variance and bias errors, and for designs of the composite type used for fitting a second-order surface, the design points should be near the boundary of the region of interest (over which a uniform interest is assumed) and about three center points should be used. The foregoing rule is specific to the application described. The theoretical framework provided in this article, however, is very general and can be used to provide guidance for any specified type of design choice under any specified set of conditions.

ISSN:0162-1459    

DOI:10.1080/01621459.1986.10478378

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor

摘要:

The testing of chemicals for carcinogenic activity in lifetime rodent bioassays has produced a large amount of data on a few strains of mice and rats. Because of the use of fixed protocols in repeated experiments, the opportunity presents itself for using this historical data in the analysis of a current experiment. What has been considered is the statistical incorporation of the historical control data into the current control group to increase the power of the test. This is especially relevant when dealing with tumors of a rare type where the toxicologist will place great significance on their occurrence in a treatment group.

ISSN:0162-1459    

DOI:10.1080/01621459.1986.10478379

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor

摘要:

In this article a new autoregressive moving average (ARMA) spectral estimator is introduced, which does not require estimation of the moving average parameters. The estimator makes use of Burg (or Marple) estimates in the purely autoregressive model to initialize the autoregressive coefficients in the mixed model. The coefficients are estimated using an algorithm of Tsay and Tiao, which is computationally reasonably fast. Several examples are given that include ARMA and non-ARMA data. These examples demonstrate that prefiltering the data is usually a good idea. A method for dynamically determining the proper filter is described in some detail. Having demonstrated the utility of an ARMA model for modeling the spectrum and having determined a dynamic prefiltering method and a reasonably efficient method of estimating the AR coefficients, a new robust ARMA spectral estimator is obtained as follows:

ISSN:0162-1459    

DOI:10.1080/01621459.1986.10478380

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor

摘要:

The Bicentennial Census: New Directions for Methodology in 1990. Constance F. Citro and Michael L. Cohen (eds.). Washington, DC: National Academy Press, 1985. xvi + 404 pp. $23.95 (paperback). Reviewed by Philip Redfern

ISSN:0162-1459    

DOI:10.1080/01621459.1986.10478381

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1986.10478382

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor

摘要:

This article has no abstract

ISSN:0162-1459    

DOI:10.1080/01621459.1986.10478345

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor