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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Lexical categories or frequency effects? A feedback from quantitative methods applied to psycholinguistic models in two studies on Italian.</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Francesca Franzon</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Giorgio Arcara°</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Chiara Zanini</string-name>
          <email>chiara.zanini.2@unipd.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Dipartimento di Neuroscienze, Università degli Studi di Padova</institution>
        </aff>
      </contrib-group>
      <abstract>
        <p>English. We examined two issues concerning Italian Number morphology: the phenomena related to mass and count nouns and to the plural dominance. By taking into account quantitative data from corpora and subjective frequency ratings in three mixed effect models, we found that differences in participants' performance in two lexical decision tasks could be better captured as differences in frequency rather than in terms of effects of lexical categories.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        The role of frequency in lexical retrieval is well
known for what concerns psycholinguistic
studies (since, at least, Forster &amp; Chambers, 1973):
the higher the frequency of a word, the faster its
retrieval. Generally, the singular form of a noun
is more frequent than the corresponding plural,
and thus retrieved faster. However, some nouns
(e.g. stelle, ‘stars’) do occur more frequently in
the plural than in the singular: the phenomenon is
known as plural dominance. Plural dominant
nouns are in fact accessed faster in the plural
form than in the singular. Since such nouns are
not identifiable as a homogeneous group by
means of some semantic features, the
phenomenon has been explained as a mere effect of the
frequency of occurrence of the forms
        <xref ref-type="bibr" rid="ref2 ref8">(Baayen et
al., 1996; 1997; 2007; Biedermann et al., 2013)</xref>
        .
      </p>
      <p>
        While the plural dominance seems to be
unrelated to grammatical constraints, another
phenomenon involving Number morphology seems
to be grammatically grounded instead, namely
the mass-count issue
        <xref ref-type="bibr" rid="ref10 ref11 ref14 ref9">(Borer, 2005; Cheng, 1973;
Chierchia, 2010; Jackendoff, 1991)</xref>
        . Nouns
referring to countable entities are called ‘count nouns’
(anello, ‘ring’), nouns referring to uncountable
entities are called ‘mass nouns’ (burro, ‘butter’).
Some constraints rule the possibility for the two
types of nouns to occur in some morphosyntactic
contexts, for example count nouns cannot occur
in the singular after a quantifier (*molto anello,
‘much ring’), while mass nouns cannot occur
with numerals or the indeterminate article (*un
burro, ‘a butter’). For what concerns Number
morphology, mass nouns should occur only
inflected in the singular
        <xref ref-type="bibr" rid="ref1 ref18 ref20">(but for a deeper
discussion, see i.a. Acquaviva, 2013; Marcantonio &amp;
Pretto, 2001; Pelletier, 2012)</xref>
        .
      </p>
      <p>
        Previous lexical decision tasks have pointed
out to some differences in the processing of
count nouns with respect to mass nouns, which
would require longer response times (RTs)
        <xref ref-type="bibr" rid="ref13 ref19">(i.a.
Mondini et al. 2009; Gillon et al. 1999)</xref>
        . In the
light of these results, it has been proposed that an
additional lexical feature has to be computed for
mass nouns as compared to count nouns.
      </p>
      <p>While psycholinguistic studies on plural
dominance have relied on relative frequency of
singular and plural forms in the selection of stimuli
and in results analysis, even the most recent
experimental studies on the mass-count issue have
not quantified the actual occurrence of the
experimental stimuli in mass context and in count
context: nouns have rather been assigned to a mass
or to a count category on the basis of the
experimenters’ judgments. Quantitative data on
syntactic contexts can instead provide a better estimate
of the frequency of use of nouns as countable or
uncountable: in the present study we relied on
the actual occurrence of nouns in the different
syntactic contexts in assigning them to the
“mass” or to the “count” experimental list.</p>
      <p>
        We will describe and put into comparison two
lexical decision tasks, concerning the phenomena
of mass-count and of plural dominance
respectively. We will explore the possibility that the
mass-count effects described in psycholinguistic
literature could be better explained in terms of
frequency of occurrence, as it is recognized by
most literature with respect to plural dominance.
We hypothesize that the frequency of occurrence
of the word form (inflected in the singular or in
the plural) will predict the RTs in lexical
decision tasks contrasting mass and count nouns, as
well as in the ones concerning the plural
dominance issue. The frequency of occurrence will be
measured by means of two subjective frequency
rating studies and in the corpus ItWaC
        <xref ref-type="bibr" rid="ref7">(Baroni et
al. 2009)</xref>
        . We will rely on quantitative measures
to categorize experimental stimuli. Measures of
plural dominance of nouns will be based on the
ratio between their occurrence in the plural and
in the singular; the mass and count experimental
nouns will be categorized considering their
distribution with respect to mass and count
morphosyntactic contexts.
      </p>
    </sec>
    <sec id="sec-2">
      <title>First study: mass and count nouns 1</title>
      <p>1.1</p>
      <p>Rating and corpus analysis
448 concrete nouns, namely 224 nouns inflected
both in the singular and in the plural, were
selected following the theoretical definitions given
in traditional grammars. The list included the
plural of 45 nouns for which only singular
occurrences would be expected on a normative basis
(pure “mass” nouns such as burro ‘butter’
*burri ‘butters’).</p>
      <p>
        A questionnaire was designed in order to
evaluate the subjective frequency of the 448 nouns
following the methods used in previous literature
        <xref ref-type="bibr" rid="ref12">(Ferrand et al., 2008)</xref>
        . The questionnaire was
administered online by means of the
SurveyMonkey platform. 126 informants participated in
this study (age: range = 22 - 76 years, mean =
36.2, SD = 12.46; years of education: range =
821). Participants were instructed not to express
normative judgments, but to focus on the
frequency they had heard or read the words; they
had to assign a score to the frequency of the
nouns on a 7-point Likert scale, ranging from 0 =
"never heard or seen” to 6 = “more than once a
day”. The nouns in the questionnaires were
presented to each participant in a different random
order.
      </p>
      <p>Score mean</p>
      <p>n = 0
0 &lt; n ≤ 1
1 ≤ n ≤ 2
2 ≤ n ≤ 3
3 ≤ n ≤ 4
4 ≤ n ≤ 5
n &gt; 5</p>
      <p>
        Absolute frequency of the aforementioned
nouns was collected on the ItWaC corpus
        <xref ref-type="bibr" rid="ref7">(Baroni et al., 2009)</xref>
        . A positive correlation was found
between corpus frequency and subjective
frequency: r(446) = 0.75, p &lt;.001. In order to
disambiguate the mass use from the count use of the
nouns presented in the rating questionnaire, we
designed queries in CQP syntax following the
methods described by
        <xref ref-type="bibr" rid="ref15">Katz &amp; Zamparelli (2012)</xref>
        .
The occurrence of nouns with determiners such
as the indeterminate article and quantifiers were
used to trace the occurrence in unambiguous
count or mass context.
1.2
      </p>
    </sec>
    <sec id="sec-3">
      <title>Lexical decision task</title>
      <p>From the initial list of 224 nouns, 80 nouns were
selected and presented both in the singular and in
the plural (totally 160 experimental stimuli).
These stimuli were selected to span as uniformly
as possible across the range of possible values of
subjective frequency in order to use the
subjective frequency as a continuous variable in the
analysis. From the 80 nouns we classified as
“mass” the 18 top mass-used nouns with the
highest mass frequencies and values of count
frequencies that were not among the top 18; we
classified as “count” the 18 top count-used nouns
with the highest count frequencies and values of
mass frequencies that were not among the top 18.
The nouns were presented both in the singular
and in the plural (totally 72). The remaining
stimuli were not categorised in such terms.
Experimental stimuli are displayed in table 2. The
final list included 240 filler words, consisting in
80 adjectives and 160 phonotactically plausible
non-words.</p>
      <p>All stimuli
“Mass” nouns:</p>
      <p>singular
“Mass” nouns:</p>
      <p>plural
“Count” nouns:</p>
      <p>singular
“Count”nouns:
plural</p>
      <p>60 Italian native speakers participated in the
experiment (mean age = 23.5, SD = 2.37; years
of education: mean = 15.16, SD = 1.64).
Participants saw a series of letter strings presented at
the center of the screen one at a time. They had
to press a key if they thought the string was an
Italian word, another key in the converse case.
1.3</p>
    </sec>
    <sec id="sec-4">
      <title>Results</title>
      <p>
        Results were analyzed by means of mixed effect
models
        <xref ref-type="bibr" rid="ref4">(Baayen, Davidson &amp; Bates, 2008)</xref>
        . In
the model 1, summarized in table 3, we included
the 72 stimuli classified as mass and count
nouns. We considered as predictors: category
(mass/count), Number (singular/plural), corpus
frequency, subjective frequency and
orthographic length. Results show significant effects of
length (longer RTs for longer items), of Number
(longer RTs for plurals) and of subjective
frequency (longer RTs for low subjective
frequency).
      </p>
      <p>Fixed
effect</p>
      <p>In model 2, summarized in table 4, we
included all the 160 stimuli. We considered as
predictors: Number (singular/plural), corpus frequency,
subjective frequency and orthographic length.
Results show significant effects of length
(longer RTs for longer items), of corpus frequency
(longer RTs for low corpus frequency) and of
subjective frequency (longer RTs for low
subjective frequency).</p>
      <p>Notably, the predictor category is not
significant (p = 0.85); corpus frequency is a significant
predictor in model 2 (p = 0.03), but it only
approached significance in model 1 (p = 0.05).
Possibly, in model 1 Number is a significant
predictor because the categorised items represent a
subset that differ for frequency of occurrence in
the plural. In fact, in model 2, in which both
categorised and not categorised items were
considered, no effect of Number was found.</p>
    </sec>
    <sec id="sec-5">
      <title>Second study: plural dominance</title>
    </sec>
    <sec id="sec-6">
      <title>Rating and corpus analysis</title>
      <p>The ItWaC corpus was queried to obtain the
frequency of occurrence of the singular and the
plurals of nouns displaying the most common
inflectional patterns (-o/-i; -a/-e). We discarded
from testing material compounds, derived nouns
and the nouns that differ for orthographic length
or phonological form between singular and plural
(e.g. occhio - occhi ‘eye –eyes’). The remaining
nouns were then ordered on the base of their
plural dominance defined as the ratio plural
frequency/singular frequency. We calculated stem
frequency of nouns and selected 284 nouns
uniformly span across the range of possible values
of frequency.</p>
      <p>A questionnaire was created in order to test
the subjective frequency of the 284 selected
nouns, both in the singular ad the plural (568
experimental items). The questionnaire was
administered following the same methods
described previously (§2.1). 150 Italian native
speakers participated in the study (age: range =
18 – 69, mean = 29; years of education: range =
8-21). The distribution of the subjective
frequency is plotted in Table 5. A positive correlation
was found between the singular and plural forms
of nouns within the corpus (r(282) = 0.70, p &lt;
.001) and within the rating (r(282) = 0.91, p &lt;
.001).
A lexical decision study was carried out,
following the same methods described in §2.2. From
the 284 nouns mentioned in §3.1, we chose: the
30 nouns with the highest ratio of plural
dominance, the 30 nouns with the lowest ratio of
plural dominance, the 30 nouns whose ratio between
singular ad plural was the closest to 1 (see table
6). Each noun was presented in the singular and
in the plural (totally 180 experimental stimuli).
The final list included 364 filler words,
consisting in 184 adjectives and 180 phonotactically
plausible non-words.</p>
      <p>
        43 Italian native speakers participated in the
experiment.
Results were analysed by means of mixed effect
models
        <xref ref-type="bibr" rid="ref4">(Baayen, Davidson &amp; Bates 2008)</xref>
        . In
model 3, summarized in table 7, we considered
as predictors: category (plural/singular/equal
dominant), Number (singular/plural), corpus
frequency, subjective frequency and
orthographic length. Results show significant effects of
length (longer RTs for longer items), of corpus
frequency (longer RTs for low corpus frequency)
and of subjective frequency (longer RTs for low
subjective frequency).
In this study we applied quantitative methods in
the selection of experimental stimuli used in the
two lexical decision tasks. In both tasks, results
from the three models showed effects of
subjective frequency and corpus frequency but not of
category in written word recognition. For what
concerns the plural dominance issue, this result
was in line with previous literature. For what
concerns the mass-count issue, our results are
unexpected instead. Remind that frequency of
occurrence in mass and count contexts was used
to avoid biases in categorization of stimuli.
Nevertheless, we did not observe differences in RTs
between the two so categorized groups of nouns.
Thus, we suggest that there is no need to
postulate the computation of a lexical feature related
to countability or uncountability in nouns. We
propose that the fact that a noun is considered
“mass” is better described as an epiphenomenon
of the distribution of noun with respect of
syntactic contexts. However the possibility for a noun
to occur in the different syntactic contexts does
not predict lexical decision RTs: frequency, as
measured in the corpus and by the rating study, is
the predictor of the lexical access times with
respect to words presented in isolation. In this
sense, the mass-count issue is similar to the
plural dominance phenomenon: even in that case,
there is no need to assume the presence of a
feature marking plurality, as the frequency of the
inflected form is sufficient to account for the
observed effects in lexical decision tasks.
      </p>
      <p>The frequency of occurrence of nouns
considered as a continuous variable is a better predictor
of RTs than a distinction attributed to alleged
lexical categories both in the case of phenomena
seemingly unrelated to core grammar rules, like
the plural dominance, as well as in phenomena
that have traditionally been described as
grammar based, like the mass-count issue.
quency estimates for all generally known
monosyllabic French words and their relation
with other psycholinguistic variables.
Behavior Research Methods 40 (4), 1049-1054.</p>
    </sec>
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