摘要:

SUMMARYThe moments are obtained for a bivariate normal distribution which is linearly truncated with respect to both variables; the variables may be correlated. From these moments the parameters of the distribution can be estimated.

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1972.tb00345.x

出版商:Blackwell Publishing Ltd    

年代:1972

数据来源: WILEY

摘要:

SUMMARYApproximations to the distributions of order statistics based on x2tare obtained. These are easy to compute and provide reasonably accurate values for the percentage points and probability integrals of the distributions.

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1972.tb00346.x

出版商:Blackwell Publishing Ltd    

年代:1972

数据来源: WILEY

摘要:

SUMMARYThe applicability of the technique of controlled selection with equal probabilities proposed by the authors, Avadhani and Sukhatme (1965, 1968), and that of unequal probability sampling suggested by Raoet al.(1962) to sampling on several successive occasions is investigated in this paper. Appropriate recurrence formulae for the optimum replacement fraction and the corresponding weight are also derived.

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1972.tb00347.x

出版商:Blackwell Publishing Ltd    

年代:1972

数据来源: WILEY

摘要:

SUMMARYUsing simple random sampling without replacement (SRSWOR) on both occasions, a new scheme of selecting the unmatched part of the sample on second occasion is presented. The proposed estimate of the population mean has been shown to be more efficient than the estimate of Pathak and Rao (1967) for the same expected cost. Kulldorff's estimate as considered by Rao and Ghangurde (1969), however, remains superior to the proposed estimate.

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1972.tb00348.x

出版商:Blackwell Publishing Ltd    

年代:1972

数据来源: WILEY

摘要:

SUMMARYIt is shown that varying probability in product method estimation increases the efficiency of estimate under some usual conditions. Further, a necessary condition, for the product estimate from a sample drawn with pps and without replacement to be more efficient than the product estimate from a sample drawn with pps and replacement, has been obtained; incidentally, it is the same as obtained by Narain (1951) for varying probability without replacement to be more efficient than varying probability with replacement. The use of the R.H.C. sampling scheme has also been suggested, and its variance and bias has been shown to be always less than that of pps with replacement.

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1972.tb00349.x

出版商:Blackwell Publishing Ltd    

年代:1972

数据来源: WILEY

摘要:

AbstractThis paper presents a general method for testing if a particular type of interaction is present in latin square models with one observation per cell.Computing instructions are given along with a detailed numerical example.A data analysis approach is explained where an experimenter can use various models to determine whether interaction is present. If there is interaction, then a procedure is given for examining a number of models to decide what factors (row, column, treatment) are interacting. In addition, a number of sets of latin square data from the literature are reanalysed to determine if they contain interaction.

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1972.tb00350.x

出版商:Blackwell Publishing Ltd    

年代:1972

数据来源: WILEY

摘要:

SUMMARYWald (1943), among others, examined the question of efficiency of experimental designs in general and suggested the criterion of maximization of the det. [X'X] for the purpose, whereXdenotes the design matrix. In the same context, Ehrenfeld (1955) recommended the maximization of the minimum eigenvalue of [X'X] as the desideratum. It has been shown in this note that for weighing designs in general maximization of det. [X'X] may be preferred to the latter criterion.

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1972.tb00351.x

出版商:Blackwell Publishing Ltd    

年代:1972

数据来源: WILEY

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1972.tb00352.x

出版商:Blackwell Publishing Ltd    

年代:1972

数据来源: WILEY

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1972.tb00353.x

出版商:Blackwell Publishing Ltd    

年代:1972

数据来源: WILEY

摘要:

SUMMARYIn this article the Behrens‐Fisher problem is reformulated in terms of a structural model of inference. For this version of the problem a solution is obtained which is valid for arbitrary absolutely continuous error distributions. These results are further discussed for the standard normal distribution and for some other special cases with not normally distributed population

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1972.tb00354.x

出版商:Blackwell Publishing Ltd    

年代:1972

数据来源: WILEY