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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>'Paper and pencil' vs. 'online' assessment: exploring measurement invariance of the Yale Food Addiction Scale 2.0 in inpatients with severe obesity and the general population</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Philosophy</institution>
          ,
          <addr-line>Sociology, Education, and Applied Psychology</addr-line>
          ,
          <institution>Section of Applied Psychology, University of Padova</institution>
          ,
          <addr-line>Padova</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Department of Psychology, Catholic University of Milan</institution>
          ,
          <addr-line>Milan</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Department of Psychology, University of Michigan</institution>
          ,
          <addr-line>AnnArbor, MI</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Interdepartmental Center for Family Research, University of Padova</institution>
          ,
          <addr-line>Padova</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>Psychology Research Laboratory, Ospedale San Giuseppe, IRCCS, Istituto Auxologico Italiano</institution>
          ,
          <addr-line>Verbania</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <fpage>0000</fpage>
      <lpage>0001</lpage>
      <abstract>
        <p>During the last few years, food addiction (FA) increased its popularity both in clinical and research practice. To date, the gold standard for the assessment of FA is the Yale Food Addiction Scale 2.0 (YFAS2.0) - that conceptualizes FA as a substance-related and addictive disorder (SRAD), according to the DSM-5 diagnostic criteria. Despite an intensive worldwide use across heterogeneous populations, to date, no studies assessed the factorial validity and measurement invariance (MI) of the YFAS2.0 across samples that filled out the questionnaire with different assessment methods. The present study aimed to: extend evidence of YFAS2.0 factorial validity and explore its MI across four different groups. Participants (N = 470) completed the Italian YFAS2.0. Participants were grouped on the basis of their recruitment (inpatients with severe obesity vs. the general population) and the assessment methodologies ('paper and pencil' assessment vs. 'online' assessment). The CFA showed good fit indexes for the overall sample as well as for each of the different groups. Also, configural, metric, and strong invariance were achieved across the four groups. Findings suggested that the Italian YFAS2.0 can be considered a good psychometrically-based and structural invariant instrument for the assessment of FA in different samples and across different methods of assessment.</p>
      </abstract>
      <kwd-group>
        <kwd>Food addiction</kwd>
        <kwd>severe obesity</kwd>
        <kwd>confirmatory factor analysis</kwd>
        <kwd>measurement invariance</kwd>
        <kwd>assessment</kwd>
        <kwd>online survey</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        Food addiction (FA) has become more and more popular [
        <xref ref-type="bibr" rid="ref1 ref2 ref3">1-3</xref>
        ] and has received
increasing interest in both clinical and research practice [
        <xref ref-type="bibr" rid="ref3 ref4">3, 4</xref>
        ]. Its popularity could be
due to its dual nature [
        <xref ref-type="bibr" rid="ref2 ref3 ref4">2-4</xref>
        ]. Indeed, on one hand, FA seems to share the clinical
characteristics of some eating disorders [
        <xref ref-type="bibr" rid="ref4 ref5 ref6">4-6</xref>
        ]. On the other hand, some individuals seem to
be addicted to certain kinds of food [
        <xref ref-type="bibr" rid="ref7 ref8">7, 8</xref>
        ]: neuroscience showed a neural activation in
response to high-caloric palatable foods (e.g.: sweetened foods, foods with high levels
of refined carbohydrates, and food with added fat) comparable to what found in
response to addictive drugs [
        <xref ref-type="bibr" rid="ref10 ref8 ref9">8-10</xref>
        ].
      </p>
      <p>
        Considering this background, to date, the gold standard for the assessment of FA at
the light of DSM-5 SRAD criteria is the second version of the Yale Food Addiction
Scale (YFAS 2.0 [
        <xref ref-type="bibr" rid="ref11 ref12">11, 12</xref>
        ]). The YFAS 2.0 concerns the key behavioral features of
addiction-like eating behaviors over the previous year: (A) ‘Substance taken in larger
amount and for a longer period than intended’; (B) ‘Persistent desire or repeated
unsuccessful attempts to quit’; (C) ‘Much time/activity to obtain, use, recover’; (D)
‘Important social, occupational, or recreational activities given up or reduced’; (E) ‘Use
continues despite knowledge of adverse consequences (e.g., emotional problems,
physical problems)’; (F) ‘Tolerance’; (G) ‘Characteristic withdrawal symptoms; substance
taken to relieve withdrawal’; (H) ‘Continued use despite social or interpersonal
problems’; (I) ‘Failure to fulfill major role obligation (e.g., work, school, home)’; (J) ‘Use
in physically hazardous situations’; (K) ‘Craving, or a strong desire or urge to use’; (L)
‘Significant distress/impairment’.
      </p>
      <p>
        Simultaneously, during the last few years, several studies underlined the need for
an evolution of psychological interventions as well as psychological assessment,
suggesting increasing the use of technology-based tools – such as online psychotherapy
and/or online surveys [
        <xref ref-type="bibr" rid="ref13 ref14 ref15 ref16 ref17 ref18">13-18</xref>
        ].
      </p>
      <p>In this context, despite a large number of studies tested psychometrical properties of
the YFAS 2.0, none of them explored its measurement invariance (MI) across samples
of individuals who filled out the YFAS 2.0 with different methodologies – namely, the
classical method (‘paper and pencil’ assessment) and a computer-based one (‘online’
survey/online assessment).</p>
      <p>Thus, the present study aimed to assess for the first time the structural validity and
MI of the YFAS 2.0 in four samples of subjects assessed with different methodologies.
2
2.1</p>
    </sec>
    <sec id="sec-2">
      <title>Material and Methods</title>
      <sec id="sec-2-1">
        <title>Sample size</title>
        <p>
          Considering the statistical analyses necessary for this study, the sample size was
calculated a priori according to the “n:q criterion”: n is the number of participants and
q is the number of (free) model parameters to be estimated [
          <xref ref-type="bibr" rid="ref19">19</xref>
          ]. Consequently, five
subjects per free parameter (5:22; nminimum = 110) were guaranteed.
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>Procedure and Participants</title>
        <p>Four groups of individuals were enrolled: (A) a first sample of inpatients with
severe obesity who filled out the YFAS 2.0 with the ‘paper and pencil’ assessment; a
second sample of (B) inpatients with severe obesity who compiled the YFAS 2.0 with
an ‘online’ assessment; a third sample of (C) individuals from the general population
who filled out the YFAS 2.0 with the ‘paper and pencil’ assessment; a fourth sample of
(D) individuals from the general population who compiled the YFAS 2.0 with an
‘online’ assessment. Exclusion criteria were: (A) illiteracy; (B) inability to complete or
finish the assessment. All participants signed informed consent.</p>
        <p>Concerning the ‘paper and pencil’ assessment method, the sample of inpatients with
severe obesity (Body Mass Index; BMI &gt; 35) was recruited at the San Giuseppe
Hospital, IRCCS, Istituto Auxologico Italiano, Verbania (Italy) whether individuals from
the general population were enrolled in Padua (Italy).</p>
        <p>Regarding the ‘online’ assessment method, an online survey was developed and
disseminated using the Qualtrics software for data collection. Moreover, the ‘snowball
sampling method’ was used to recruit participants through personal invitations or
materials advertised via social media platforms (i.e., Facebook, Twitter).</p>
        <p>The final sample comprised 470 participants [171 males (36.4%) and 299 females
(63.6%) aged from 18 to 84 years (mean = 45.02, SD = 17.715)].</p>
        <p>More in detail, the first sample was composed of (A) inpatients with severe obesity
who filled out the YFAS 2.0 with the ‘paper and pencil’ assessment: n = 121; 43 males
(35.5%) and 78 females (64.5%) aged from 20 to 78 years (mean = 56.59, SD = 12.43),
with a BMI ranged from 35.06 to 65.82 (mean = 42.66, SD = 6.05).</p>
        <p>The second sample was composed of (B) inpatients with severe obesity who
compiled the YFAS 2.0 with an ‘online’ assessment: n = 114; 56 males (49.1%) and 58
females (50.9%) aged from 18 to 77 years (mean = 54.89, SD = 12.16), with a BMI
ranged from 35.16 to 80.11 (mean = 43.12, SD = 6.79).</p>
        <p>The third sample was composed of (C) individuals from the general population who
filled out the YFAS 2.0 with the ‘paper and pencil’ assessment: n = 118; 39 males
(33.1%) and 79 females (66.9%) aged from 19 to 84 years (mean = 36.03, SD = 16.09),
with a BMI ranged from 15.37 to 34.37 (mean = 23.08, SD = 3.70).</p>
        <p>The fourth sample was composed of (D) individuals from the general population
who compiled the YFAS 2.0 with an ‘online’ assessment: n = 117; 33 males (28.2%)
and 84 females (71.8%) aged from 22 to 79 years (mean = 33.32, SD = 15.64), with a
BMI ranged from 17.04 to 31.25 (mean = 22.38, SD = 3.54).
2.3</p>
      </sec>
      <sec id="sec-2-3">
        <title>Measure</title>
        <p>The Yale Food Addiction Scale 2.0 (YFAS2.0)</p>
        <p>
          The Italian version of the YFAS 2.0 [
          <xref ref-type="bibr" rid="ref11 ref12 ref4">4, 11, 12</xref>
          ] is a 35-item self-report questionnaire
assessing FA symptoms in both general and clinical populations. The YFAS 2.0
assesses the 11 DSM-5 diagnostic criteria for SRAD and the significant impairment
and/or distress related to food. The scale is scored on an 8-point Likert type scale
(ranging from 0 = “never” to 7 = “every day”). According to an item-specific cutoff, each
of the 35 items has to be dichotomized (0 = “non-endorsed” vs. 1 = “endorsed”) to
compute the two scoring options: the symptom count score and the diagnostic score
[
          <xref ref-type="bibr" rid="ref11">11</xref>
          ]. The first one is the symptom count score – namely – the number of FA criteria
(ranging from 0 to 11) experienced during the previous year. The ‘impairment/distress’
criterion should not be considered in this count [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ]. The second one is the diagnostic
score: FA could be diagnosed as mild if there are 2 or 3 symptoms and clinically
significant impairment/distress, moderate if there are 4 or 5 symptoms and significant
impairment/distress, or severe if there are 6 or more symptoms and significant
impairment/distress [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ].
2.4
        </p>
      </sec>
      <sec id="sec-2-4">
        <title>Statistical Analyses</title>
        <p>Statistical analyses were performed with R software and the following packages:
‘lavaan’, ‘semTools’, and ‘semPlot’.</p>
        <p>
          A confirmatory factor analysis (CFA) was performed using the diagonally weighted
least square (DWLS) estimator. A single-factor first-order structure was specified [
          <xref ref-type="bibr" rid="ref11 ref4">4,
11</xref>
          ]: each of the eleven symptoms (from ‘Criterion A’ to ‘Criterion K’) loaded onto a
latent dimension.
        </p>
        <p>
          Factorial validity was assessed using the Satorra-Bentler χ2 (a non-significant χ2
indicating a better model fit). Goodness-of-fit indices were also used, with the
following criteria as cutoffs for ideal fit [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ]: the Root-Mean-Square Error of Approximation
(RMSEA &lt; 0.05); the Comparative Fit Index (CFI &gt; 0.95); and the ratio of χ2 to the
degrees of freedom (χ2/df &lt; 3).
        </p>
        <p>As reported in Figure 1, measurement invariance (MI) analysis was computed to
evaluate whether the aforementioned structure of the Italian version of the YFAS 2.0
was invariant between (A) a sample of inpatients with severe obesity who filled out the
YFAS 2.0 with the ‘paper and pencil’ assessment; (B) a sample of inpatients with
severe obesity who compiled the YFAS 2.0 with an ‘online’ assessment; (C) a sample of
individuals from the general population who filled out the YFAS 2.0 with the ‘paper
and pencil’ assessment; (D) a sample of individuals from the general population who
compiled the YFAS 2.0 with an ‘online’ assessment.</p>
        <p>
          The “standard” procedure for structural models with categorical indicators was
followed [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ]. First, the first-order model was constrained to equality between the four
groups (Configural Invariance). Second, both the factor loadings and items’ thresholds
were simultaneously constrained to equality across groups (Metric+Strong Invariance).
Third, the latent factor means (Latent Means Invariance) were constrained to equality
between groups.
        </p>
        <p>
          Measurement invariance was assessed by using test differences in three fit indices
and with the following criteria as cutoffs for model equivalence: DIFFTEST (equal to
Δχ2; p-value &gt; 0.050), ΔCFI (&lt; 0.010), ΔRMSEA (&lt; 0.015) [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ]. An excess of the
cutoff in two out of these three indices, combined with worse fit indices, was considered
as the evidence of model non-invariance.
3
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Results</title>
      <sec id="sec-3-1">
        <title>Structural validity</title>
        <p>The single-factor model showed a good fit to the data for the overall sample. Despite
the Chi-square statistic resulted to be statistically significant [χ2 (44) = 89.241; p &lt;
0.001], all the other fit indices revealed a good fit to the data: the RMSEA = 0.047;
90%CI 0.033–0.061; p(RMSEA &lt; 0.05) = 0.063, the CFI = 0.995, and the χ2/df = 2.028.
As reported in Table 1, all the items’ loadings were statistically significant and ranged
from 0.745 (Criterion A) to 0.911 (Criterion E); mean = 0.835; SD = 0.055.</p>
        <p>Regarding (A) the sample of inpatients with severe obesity who filled out the YFAS
2.0 with the ‘paper and pencil’ assessment, all of the fit indices revealed a good fit to
the data: χ2 (44) = 26.588; p = 0.982 ns, the RMSEA = 0.000 [90%CI 0.000–0.000;
p(RMSEA &lt; 0.05) = 0.999], the CFI = 1.000, and the χ2/df = 0.604. Items’ loadings
ranged from 0.754 (Criterion A) to 0.931 (Criterion K); mean = 0.833; SD = 0.071.</p>
        <p>Regarding (B) the sample of inpatients with severe obesity who compiled the YFAS
2.0 with an ‘online’ assessment, all of the fit indices revealed a good fit to the data: χ2
(44) = 55.081; p = 0.122 ns, the RMSEA = 0.047 [90%CI 0.000–0.083; p(RMSEA &lt;
0.05) = 0.519], the CFI = 0.995, and the χ2/df = 1.252. Items’ loadings ranged from
0.477 (Criterion H) to 0.919 (Criterion K); mean = 0.790; SD = 0.136.</p>
        <p>Regarding (C) the sample of individuals from the general population who filled out
the YFAS 2.0 with the ‘paper and pencil’ assessment, all of the fit indices revealed a
good fit to the data: χ2 (44) = 38.999; p = 0.685 ns, the RMSEA = 0.000 [90%CI 0.000–
0.050; p(RMSEA &lt; 0.05) = 0.949], the CFI = 1.000, and the χ2/df = 0.886. Items’
loadings ranged from 0.602 (Criterion B) to 0.982 (Criterion E); mean = 0.782; SD = 0.120.</p>
        <p>Regarding (D) the sample of individuals from the general population who compiled
the YFAS 2.0 with an ‘online’ assessment, all of the fit indices revealed a good fit to
the data: χ2 (44) = 35.813; p = 0.805 ns, the RMSEA = 0.000 [90%CI 0.000–0.041;
p(RMSEA &lt; 0.05) = 0.976], the CFI = 1.000, and the χ2/df = 0.814. Items’ loadings
ranged from 0.695 (Criterion A) to 0.952 (Criterion K); mean = 0.867; SD = 0.092.</p>
        <p>Configural Invariance. A first-order configural invariance model was specified
between groups. Good model fit indices were found (χ2 (176) = 156.48, p = 0.852 ns; the
RMSEA = 0.000; the CFI = 1.000; and the χ2/df = 0.998), suggesting that the factor
structure was similar between the four groups.</p>
        <p>Metric+Strong Invariance. Also the first-order metric plus strong invariance model
still fitted data well: χ2 (203) = 201.02, p = 0.526 ns; the RMSEA = 0.000; the CFI =
1.000; and the χ2/df = 0.990. Non-significant decreases – in two out of three fit indices
– were found (DIFTEST = 44.54; p = 0.018; ΔRMSEA = 0.000; ΔCFI = 0.001),
indicating that items were equivalently related to the latent factor between groups.</p>
        <p>Latent Means Invariance. Finally, also the first-order latent means invariance model
revealed adequate fit indices: χ2 (206) = 274.34, p = 0.001; the RMSEA = 0.053; the
CFI = 0.993; and the χ2/df = 1.332. Moreover, statistically significant decreases in fit
indices compared to the previous invariance model were found (DIFTEST = 73.32, p &lt;
0.001; ΔRMSEA = 0.053; ΔCFI = -0.007), suggesting that groups had not the same
expected item response at the same absolute level of the trait.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Discussion</title>
      <p>
        To date, an increasing number of studies underline the necessity of an evolution of
psychological interventions as well as psychological assessment toward the use of
technology-based tools – such as online psychotherapies and/or online surveys [
        <xref ref-type="bibr" rid="ref13 ref14 ref17">13, 14, 17</xref>
        ].
This necessity for technology-based change may be fostered by a significant number of
people avoid seeking psychological help and (social) support [
        <xref ref-type="bibr" rid="ref22 ref23">22, 23</xref>
        ] despite
maladaptive behaviors as well as several related psychological issues [
        <xref ref-type="bibr" rid="ref24 ref25 ref26 ref27 ref28 ref29 ref30 ref31 ref32 ref33 ref34 ref35 ref36 ref37">24-37</xref>
        ]. On one hand,
some of these people may be reluctant to seek professional help due to the associated
stigma [
        <xref ref-type="bibr" rid="ref38 ref39 ref40 ref41">38-41</xref>
        ]. On the other hand, some individuals may deny the problem, leading
them to think that it will probably resolve itself naturally [
        <xref ref-type="bibr" rid="ref23 ref42 ref43">23, 42, 43</xref>
        ], thus choosing to
manage the psychological issue on their own instead of starting a structured
psychological intervention [
        <xref ref-type="bibr" rid="ref23 ref44">23, 44</xref>
        ]. Moreover, the urgency to improve technology-based
assessment and psychological intervention could be due to the new categories of patients who
often struggle to turn to clinical services in person – such as people with an infective
disease or chronic progressively disabling disease (i.e. severe obesity). Also, people
with severe obesity may show the comorbidity of unhealthy behavior and/or
psychopathological ones that exacerbate their illness – i.e. emotional eating and/or FA.
      </p>
      <p>
        In this context, the YFAS 2.0 could be considered as the ‘gold standard’ for the
assessment of FA in both clinical and the general population [
        <xref ref-type="bibr" rid="ref11 ref12 ref45">11, 12, 45</xref>
        ]. However, no
previous study compared the factorial structure of YFAS 2.0 among samples that
complied this scale with different assessment methodologies – such as the classical ‘paper
and pencil’ assessment or a technology-based assessment (online survey). The present
study aimed to fill this gap assessing the MI of the YFAS 2.0 across four groups.
      </p>
      <p>The CFA revealed that the Italian YFAS 2.0 showed a good fit to the data for the
overall sample. Also, the CFA showed that each aforementioned single group provided
good fit indices, in line with Italian validation studies. Statistical analyses successfully
replicated the original factorial structure of the YFAS 2.0 – suggesting that it could be
considered as a good psychometrically-based instrument for the assessment of FA.</p>
      <p>
        Moreover, configural, metric, and scalar invariance were achieved across the four
abovementioned samples. These results are in line with previous research [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] and
suggest that individuals in the four samples interpreted the YFAS 2.0 items in the same
way, with the same strength, and with the same starting point – the factorial structure
was equal across samples and items were equally related to the latent construct with
equal thresholds. However, the latent trait was not equally distributed between groups:
latent means were different across samples.
      </p>
      <p>Despite these interesting findings, some limitations have to be highlighted. First,
although the sample size was adequate to perform a CFA and MI, the number of
individuals in each group was small. Also, this study lacks a second administration of the
scale – thus not allowing to perform longitudinal analyses.</p>
      <p>Overall, these findings suggest that the comparisons between these samples should
be taken with caution (different latent means), but these groups were comparable (due
to equal items threshold). Finally, these results suggest Italian YFAS 2.0 should be
considered as a starting point for the assessment of FA and in the planning of
psychological treatments in different samples and across different methods of assessment.</p>
    </sec>
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