Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: ANOVA (analysis of variance) in the quantum linguistic formulation of
  statistics   Recently, we proposed quantum language (or, measurement theory), which is
characterized as the linguistic turn of the Copenhagen interpretation of
quantum mechanics. We believe that this language has a great powet of
description, and therefore, even statistics can be described by quantum
language. In this paper, we show that ANOVA (analysis of variance (one-way and
two-way)) can be formulated in quantum language. Since quantum language is
suited for theoretical arguments, we believe that our results are visible and
understandable. For example, we can answer the question "What kind of role does
Kolmogorov's probability theory play in ANOVA?" That is, the readers find that
Kolmogorov's probability theory is merely used in order to calculate
multi-dimenstional Gauss integrals, and thus, they can avoid to confuse the
relation between Kolmogorov's probability theory and statistics.

32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
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
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas