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41.
Javier Revuelta 《Psychometrika》2009,74(2):257-272
The generalized logit–linear item response model (GLLIRM) is a linearly constrained nominal categories model (NCM) that computes
the scale and intercept parameters for categories as a weighted sum of basic parameters. This paper addresses the problems
of the identifiability of the basic parameters and the equivalence between different GLLIRM models. It is shown that the identifiability
of the basic parameters depends on the size and rank of the coefficient matrix of the linear functions. Moreover, two models
are observationally equivalent if the product of the respective coefficient matrices has full column rank. Finally, the paper
also explores the relations between the parameters of nested models.
I would like to express my gratitude to the editor and three anonymous reviewers for their helpful suggestions on earlier
versions of the paper. This work was supported by the Comunidad de Madrid (Spain) grant: CCG07-UAM/ESP-1615. 相似文献
42.
43.
中学生元担忧与一般焦虑 总被引:9,自引:0,他引:9
根据AdrianWells的一般焦虑的担忧模式 ,对广州市 6 36名中学生元担忧状况以及元担忧与一般焦虑的关系进行了研究。结果发现 ,高中生元担忧水平高于初中 ,显著差异。初中二年级和高中二年级的元担忧水平高于其他两个年级 ,尤其是初中 ,显著差异。中学生元担忧的性别差异不明显。中学生元担忧各因素与焦虑均存在极显著正相关 ,考试、家庭、心理健康、外貌和身体健康 5个元担忧因素对焦虑的贡献显著 相似文献
44.
On the measurement of time allocation on multiple variable-interval schedules 总被引:3,自引:3,他引:0 下载免费PDF全文
Six pigeons were trained on a modified multiple-schedule procedure. In a three-key chamber, the center key was lighted red or green, depending upon which component schedule was in effect. A response on this key transferred this color to each of two side keys, and responses on one of those keys produced reinforcers according to the component schedule. After 2 s, the side-key lights were extinguished, the center key was reilluminated, and a further center-key response was required to give access, as before, to the component schedules. Components alternated every 3 min. This limited-access procedure allowed both times spent switched into the side keys and time spent not switched in to be measured in the two components. Component reinforcer rates were varied over eight experimental conditions. Both component response rate and component time allocation were increasing functions of relative component reinforcer rate, and these functions were not significantly different. This finding implies that local response rates (responses divided by time switched in) were unaffected by changing component reinforcer rates on multiple schedules. Because a similar result was recently obtained for concurrent schedules, models of multiple and concurrent-schedule performance may need to consider only the time allocation of behavior emitted at equal tempo in the component schedules. 相似文献
45.
Mario Romanazzi 《Psychometrika》1992,57(2):237-259
The perturbation theory of the generalized eigenproblem is used to derive influence functions of each squared canonical correlation coefficient and the corresponding canonical vector pair. Three sample versions of these functions are described and some properties are noted. As particular applications, the influence function of the squared multiple correlation coefficient and influence functions of eigenvalues and eigenvectors in correspondence analysis are obtained. Three numerical examples are briefly discussed.We thank the Editor and the anonymous reviewers for their helpful comments. This research was carried out with the financial support of the Italian Ministry of the University and the National Research Council. 相似文献
46.
Davison M 《Journal of the experimental analysis of behavior》1996,66(2):149-168
Six pigeons were trained on three-alternative concurrent variable-interval schedules that were available through a switching response and were signaled by colored stimuli. The discriminative stimuli for two of the schedules were always 560 nm and 630 nm, but the stimulus signaling the third alternative was varied across conditions over seven levels between these colors. For each third-alternative stimulus condition, the relative frequency of reinforcers was varied over three conditions with 4:1 and 16:1 reinforcer ratios between each pair of alternatives. The distribution of responses between the alternatives was dependent jointly on the third-alternative reinforcer rate and on the disparity between the stimulus signaling the third alternative and those signaling the other alternatives. A generalized matching approach was unable to provide invariant measures of the discriminability between constant stimuli, but a contingency-discriminability approach provided excellent fits and sensible and invariant stimulus discriminability measures. 相似文献
47.
Henk A. L. Kiers 《Psychometrika》1995,60(2):221-245
Monotonically convergent algorithms are described for maximizing six (constrained) functions of vectors x, or matricesX with columns x1, ..., x
r
. These functions are h1(x)=
k
(xA
kx)(xC
kx)–1, H1(X)=
k
tr (XA
k
X)(XC
k
X)–1, h1(X)=
k
l
(x
l
A
kx
l
) (x
l
C
kx
l
)–1 withX constrained to be columnwise orthonormal, h2(x)=
k
(xA
kx)2(xC
kx)–1 subject to xx=1, H2(X)=
k
tr(XA
kX)(XAkX)(XCkX)–1 subject toXX=I, and h2(X)=
k
l
(x
l
A
kx
l
)2 (x
l
C
kX
l
)–1 subject toXX=I. In these functions the matricesC
k are assumed to be positive definite. The matricesA
k can be arbitrary square matrices. The general formulation of the functions and the algorithms allows for application of the algorithms in various problems that arise in multivariate analysis. Several applications of the general algorithms are given. Specifically, algorithms are given for reciprocal principal components analysis, binormamin rotation, generalized discriminant analysis, variants of generalized principal components analysis, simple structure rotation for one of the latter variants, and set component analysis. For most of these methods the algorithms appear to be new, for the others the existing algorithms turn out to be special cases of the newly derived general algorithms.This research has been made possible by a fellowship from the Royal Netherlands Academy of Arts and Sciences to the author. The author is obliged to Jos ten Berge for stimulating this research and for helpful comments on an earlier version of this paper. 相似文献
48.
49.
Henk A. L. Kiers 《Psychometrika》1997,62(4):545-568
Matrices of factor loadings are often rotated to simple structure. When more than one loading matrix is available for the same variables, the loading matrices can be compared after rotating them all (separately) to simple structure. An alternative procedure is to rotate them to optimal agreement, and then compare them. In the present paper techniques are described that combine these two procedures. Specifically, five techniques that combine the ideals of rotation to optimal agreement and rotation to simple structure are compared on the basis of contrived and empirical data. For the contrived data, it is assessed to what extent the rotations recover the underlying common structure. For both the contrived and the empirical data it is studied to what extent the techniques give well matching rotated matrices, to what extent these have a simple structure, and to what extent the most prominent parts of the different loading matrices agree. It was found that the simple procedure of combining a Generalized Procrustes Analysis (GPA) with Varimax on the mean of the matched loading matrices performs very well on all criteria, and, for most purposes, offers an attractive compromise of rotation to agreement and simple structure. In addition to this comparison, some technical improvements are proposed for Bloxom's rotation to simple structure and maximum similarity.This research has been made possible by a fellowship from the Royal Netherlands Academy of Arts and Sciences to the author. The author is obliged to René van der Heijden for assistance in programming the procedures in the simulation study reported in this paper, and to Jos ten Berge, three anonymous reviewers and an associate editor for helpful comments on an earlier version of this paper. 相似文献
50.
P. M. Bentler 《Psychometrika》1983,48(4):493-517
Current practice in structural modeling of observed continuous random variables is limited to representation systems for first and second moments (e.g., means and covariances), and to distribution theory based on multivariate normality. In psychometrics the multinormality assumption is often incorrect, so that statistical tests on parameters, or model goodness of fit, will frequently be incorrect as well. It is shown that higher order product moments yield important structural information when the distribution of variables is arbitrary. Structural representations are developed for generalizations of the Bentler-Weeks, Jöreskog-Keesling-Wiley, and factor analytic models. Some asymptotically distribution-free efficient estimators for such arbitrary structural models are developed. Limited information estimators are obtained as well. The special case of elliptical distributions that allow nonzero but equal kurtoses for variables is discussed in some detail. The argument is made that multivariate normal theory for covariance structure models should be abandoned in favor of elliptical theory, which is only slightly more difficult to apply in practice but specializes to the traditional case when normality holds. Many open research areas are described. 相似文献