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891.
Song-gui Wang 《统计学通讯:理论与方法》2013,42(14):1571-1581
In this paper we define a class of biased linear estimators for the unknown parameters in linear models with arbitrary rank. The feature of our approach is to reduce the estimation problem in arbitrary rank models to the one in full-rank models. Some important properties are discussed. As special cases of our class, we extend to deficient-rank models six known biased linear estimators. 相似文献
892.
Eric Peritz 《统计学通讯:理论与方法》2013,42(19):2157-2167
In prospective or retrospective studies with matched pairs one often wishes to control for covariates other than those used in the matching process.Large sample procedures assuming a logistic model are available for this problem.The present paper presents some exact permutation tests which are uniformly most powerful unbiased within a large class of tests. 相似文献
893.
Upper quantiles of the distribution of the largest root of the multivariate beta matrix are tabulated in this paper. The tables extend the existing ones in regard to the range of one of the two degrees of freedom and are especially useful in tests of equality of two covariance matrices based on Roy's largest root criterion. 相似文献
894.
This paper derives first-order sampling moments of individual Mahalanobis distances (MDs) in cases when the dimension p of the variable is proportional to the sample size n. Asymptotic expected values when n, p → ∞ are derived under the assumption p/n → c,?0 ? c < 1. It is shown that some types of standard estimators remain unbiased in this case, while others are asymptotically biased, a property that appears to be unnoticed in the literature. Second-order moments are also supplied to give some additional insight to the matter. 相似文献
895.
Guang-Jing Song 《Journal of statistical planning and inference》2011,141(8):2700-2710
Growth curve models are used to analyze repeated measures data (longitudinal data), which are functions of time. In this paper, some necessary and sufficient conditions for linear function B1YB2 to be the best linear unbiased estimator (BLUE) of estimable functions X1ΘX2 (or K1ΘK2) under the general growth curve model were established. In addition, the representations of BLUE(K1ΘK2) (or BLUE(X1ΘX2)) were derived when the conditions are satisfied. Two special notions of linear sufficiency with respect to the general growth curve model are given in the end. The findings of this paper enrich some known results in the literature. 相似文献
896.
Jay H. Beder 《统计学通讯:理论与方法》2013,42(6):2165-2188
The problem of confounding in an axb experiment is studied without indexing the set of levels of each factor a priori by an algebraic object. General arithmetic restrictions on a and b are derived, leading to a'geometric reformulation of the problem when a or b is prime. This reformulation reduces to the problem of the existence of a generalized Hadamard matrix of specified order. 相似文献
897.
Jay H. Beder 《统计学通讯:理论与方法》2013,42(2):591-612
The problem of confounding in an axb experinent is studied without indexing the set of levels of each factor a prior by an algebraic object. General arithmetic restrictions on a and b are derived, leading to a geometric reformulation of the problem when a or b is prime. This reformulation reduces to the problem of the existence of a generalized Hadamard matrix of specified order. 相似文献
898.
Masahide Kuwada 《统计学通讯:理论与方法》2013,42(10):3883-3905
By use of the algebraic structure of the triangular multidimensional partially balanced association scheme, we present the analysis of variance and the hypotheses testing of a balanced fractional 2nfactorial design of resolution 2l+1, which is derived from a balanced array of strength 2l. 相似文献
899.
Duane Meeter 《统计学通讯:理论与方法》2013,42(11):4213-4223
An algorithm is developed for calculating the probability distribution of the number of matches between two specified rows of a matrix of zeroes and ones. Cases covered include row totals fixed, column totals fixed, and column totals and the two specified rows' totals fixed. The results are applied to presence-absence data on six species of ground finches on 23 Galàpagos islands and two constructed examples. 相似文献
900.
Robert J. Boik 《统计学通讯:理论与方法》2013,42(4):1233-1255
Scheffé’s mixed model, generalized for application to multivariate repeated measures, is known as the multivariate mixed model (MMM). The primary advantages the MMM are (1) the minimum sample size required to conduct an analysis is smaller than for competing procedures and (2) for certain covariance structures, the MMM analysis is more powerful than its competitors. The primary disadvantage is that the MMM makes a very restrictive covariance assumption; namely multivariate sphericity. This paper shows, first, that even minor departures from multivariate sphericity inflate the size of MMM based tests. Accordingly, MMM analyses, as computed in release 4.0 of SPSS MANOVA (SPSS Inc., 1990), can not be recommended unless it is known that multivariate sphericity is satisfied. Second, it is shown that a new Box-type (Box, 1954) Δ-corrected MMM test adequately controls test size unless departure from multivariate sphericity is severe or the covariance matrix departs substantially from a multiplicative-Kronecker structure. Third, power functions of adjusted MMM tests for selected covariance and noncentrality structures are compared to those of doubly multivariate methods that do not require multivariate sphericity. Based on relative efficiency evaluations, the adjusted MMM analyses described in this paper can be recommended only when sample sizes are very small or there is reason to believe that multivariate sphericity is nearly satisfied. Neither the e-adjusted analysis suggested in the SPSS MANOVA output (release 4.0) nor the adjusted analysis suggested by Boik (1988) can be recommended at all. 相似文献