Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Ambiguity of Interaction and Nonlinear Main Effects in a Regime
  of Dependent Covariates   The analysis of large experimental datasets frequently reveals significant
interactions that are difficult to interpret within the theoretical framework
guiding the research. Some of these interactions actually arise from the
presence of unspecified nonlinear main effects and statistically dependent
covariates in the statistical model. Importantly, such nonlinear main effects
may be compatible (or, at least, not incompatible) with the current theoretical
framework. In the present literature this issue has only been studied in terms
of correlated (linearly dependent) covariates. Here we generalize to nonlinear
main effects (i.e., main effects of arbitrary shape) and dependent covariates.
We propose a novel nonparametric method to test for ambiguous interactions
where present parametric methods fail. We illustrate the method with a set of
simulations and with reanalyses (a) of effects of parental education on their
children's educational expectations and (b) of effects of word properties on
fixation locations during reading of natural sentences, specifically of effects
of length and morphological complexity of the word to be fixated next. The
resolution of such ambiguities facilitates theoretical progress.

10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
21
The categories of this paper are: adap-org