A Rotation Test to Verify Latent Structure

نویسندگان

  • Patrick O. Perry
  • Art B. Owen
چکیده

In multivariate regression models we have the opportunity to look for hidden structure unrelated to the observed predictors. However, when one fits a model involving such latent variables it is important to be able to tell if the structure is real, or just an artifact of correlation in the regression errors. We develop a new statistical test based on random rotations for verifying the existence of latent variables. The rotations are carefully constructed to rotate orthogonally to the column space of the regression model. We find that only non-Gaussian latent variables are detectable, a finding that parallels a well known phenomenon in independent components analysis. We base our test on a measure of non-Gaussianity in the histogram of the principal eigenvector components instead of on the eigenvalue. The method finds and verifies some latent dichotomies in the microarray data from the AGEMAP consortium.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

بررسی ابعاد و اعتبارسنجی پرسشنامه عملکرد انطباقی کارکنان با روش تحلیل عاملی اکتشافی و تائیدی: مطالعه‌ای در بین پرستاران

  Introduction: Adaptive performance is defined as an employee’s ability to deal with changes and new and unusual situations in the workplace. The present study mainly focused on factor analysis of the Adaptive Performance Scale (APS) and determining its validity and reliability. Adaptive performance is a multi-dimensional structure with five latent factors. Materials and Methods...

متن کامل

Separating "Rotators" From "Nonrotators" in the Mental Rotations Test: A Multigroup Latent Class Analysis.

Items of mental rotation tests can not only be solved by mental rotation but also by other solution strategies. A multigroup latent class analysis of 24 items of the Mental Rotations Test (MRT) was conducted in a sample of 1,695 German pupils and students to find out how many solution strategies can be identified for the items of this test. The results showed that five subgroups (latent classes...

متن کامل

Factor rotation with non-negativity constraints

Factor rotation is widely used to interpret the estimated factor loadings from latent variable models. Rotation methods embody a priori concepts of ‘complexity’ of factor structures, which they seek to minimise. Surprisingly, it is rare for researchers to exploit one of the most common and powerful sources of a priori information: non-negativity of factor loadings. This paper develops a method ...

متن کامل

SEISMIC OPTIMIZATION OF STEEL SHEAR WALL USING SHAPE MEMORY ALLOY

Nowadays, steel shear walls are used as efficient lateral-load-resistant systems due to their high lateral stiffness and carrying capacity. In this paper, the effect of substituting a shape memory alloy (SMA) material is investigated instead of using conventional steel in the shear wall. A numerical study is conducted using finite element method (FEM) by OpenSees software. For this purpose, at ...

متن کامل

Structure of weed communities occurring in crop rotation and monoculture of cereals

A strict field experiment with crops sown in crop rotation and monoculture wascarried out in the years 1988-2012 at the Experimental Station Uhrusk belonging tothe University of Life Sciences in Lublin, south-eastern Poland. The study wasaimed at evaluating the structure of weed communities occurring in crop rotationand monoculture of cereals. The highest weed density m-2 was determined inthe s...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Journal of Machine Learning Research

دوره 11  شماره 

صفحات  -

تاریخ انتشار 2010