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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Expanding a theoretical framework for English adjective order</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>James Spizzirro</string-name>
          <email>spizzirr@bc.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Boston College Department of Slavic and Eastern Languages and Literatures Lyons Hall 210 Boston College 140 Commonwealth Ave Chestnut Hill</institution>
          ,
          <addr-line>MA 02467</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
      </contrib-group>
      <fpage>58</fpage>
      <lpage>66</lpage>
      <abstract>
        <p>In her 2003 study “A multifactorial corpus analysis of adjective order in English”, Stefanie Wulff surveys a number of factors that help explain preferred adjective ordering in adjective-adjective-noun constructions, drawing from previous work in fields ranging from phonology to pragmatics. In the present work, I pose an expansion in the criteria for one of these factors, which should yield a more effective utilization in determining adjective order. In addition, I propose that one factor in Wulff 2003 provides support for the expansion proposed here. Following this, I will explain areas for further research which have come to light over the course of this study, but which have not been treated in this paper.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1 Introduction</title>
      <p>An interesting and largely unexplained
phenomenon in language is the preference of a
particular order of adjectives over another. For
instance, compare the grammaticality of the
utterance in (1) with that of the utterance in (2):
(1) small green car
(2) *green small car
Or, as a more relevant example, compare the
utterance in (3) with the one in (4):
(3) beautiful colourful jewels
(4) ?colourful beautiful jewels</p>
      <p>Syntactically, these are all equally well-formed
utterances. The vast majority of native English
speakers, however, would claim that, according to
some intuition, the utterances in (1) and (3) are
more natural than the utterances in (2) and (4).
Since this order cannot be explained by any known
hierarchical relationship, we must look elsewhere
for an explanation.</p>
      <p>
        A number of linguists have proposed rules that
help predict adjective order. The vast majority of
work in this field has focused on phonology
        <xref ref-type="bibr" rid="ref2 ref6">(cf.
Behaghel 1930, Goyvaerts 1968)</xref>
        , syntax
        <xref ref-type="bibr" rid="ref14">(cf. Biber
1999, Posner 1986)</xref>
        , semantics
        <xref ref-type="bibr" rid="ref11 ref15 ref16 ref17 ref18 ref21 ref3 ref4 ref5 ref7 ref8">(cf. Whorf 1945,
Kilgarriff 1997, Stubbs 2001, Richards 1975,
Martin 1969, Ertel 1971, Dixon 1977, Quirk et al.
1985, Hetzron 1978, Richards 1977, Deese 1964)</xref>
        and pragmatics
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref14 ref9">(cf. Lockhart and Martin 1969,
Posner 1986, Bock 1982, Ney 1983, Lapata et al.
1999)</xref>
        . It is worth noting that there has been little
substantial work regarding the influence of
morphology on adjective order, and whatever work
has been done has been largely restricted to
superlative and comparative structure
        <xref ref-type="bibr" rid="ref19">(cf.
Teodorescu 2006)</xref>
        . Stefanie Wulff presents a
comprehensive study on this topic in her 2003 work
“A multifactorial corpus analysis of adjective order
in English”. In this study, Wulff surveys a number
of previously proposed factors, drawing primarily
from work in phonology, syntax, semantics, and
pragmatics (with no section devoted to the
treatment of morphological factors). By analyzing
these factors at first individually, and then together
in a multifactorial analysis, Wulff was able to
predict adjective order with 73.5% accuracy.
      </p>
      <p>
        One factor presented in Wulff’s study, referred
to as Nominal Character (NOMCHAR), is described
as problematic, and loses much of its predictive
capability when used in a multifactorial analysis.
Wulff addresses this by saying that “the
operationalization of NOMCHAR applied [in her
analysis] is not inadequate, but probably
incomplete in the sense that NOMCHAR should be
more adequately conceived of as a multifactorial
construct of which the tendency towards
nominalization is just one aspect”
        <xref ref-type="bibr" rid="ref22">(Wulff 2003)</xref>
        . In
the present work, I present one such aspect of
Nominal Character which could aid in a more
effective operationalization of this factor, and
which takes morphology into account, which (as
noted above) has largely been ignored in the
literature. I propose that by expanding Nominal
Character to include adjectives which are
nominalized by means of removing or adding an
affix, rather than restricting the criteria to
zeroderived nouns and adjectives, Nominal Character
can be utilized more fully. Furthermore, I propose
that one factor in particular presented in Wulff’s
2003 study lends validity to expanding Nominal
Character.
2
      </p>
    </sec>
    <sec id="sec-2">
      <title>Method</title>
      <p>This study will treat adjectives and adjective
strings that were dealt with Wulff’s study. For a
full explanation of the constraints on this analysis,
see Wulff 2003, §2 “Scope of the investigation.”
For purposes of clarity, I will here delineate a
number of parameters within which I have
conducted this study.</p>
      <sec id="sec-2-1">
        <title>Descriptive Adjectives: There is a distinction</title>
        <p>
          between adjectives such as “many” and “fourth”
and adjectives such as “red,” “beautiful,” and
“big.” This first group (described by Wulff as
“limiting adjectives”) specifies and constrains the
head, whereas this second group (described by
Wulff as “descriptive adjectives”) serves primarily
to describe, rather than to specify, the head. It is
this second group of adjectives that this study is
concerned with. Additionally, all adjectives used
here must fulfill the description of either a central
or peripheral adjective, according to the four
criteria prescribed by Quirk et al., namely (i)
attributive function; (ii) predicative function after
the copula seem; (iii) ability to be modified by
very; and (iv) gradability by the use of
morphology (-er, -est) or periphrastic comparison
(more, most). Central adjectives must fulfill at
least (i) and (ii), and peripheral adjectives must
fulfill at least (i), otherwise they must fulfill at
least three of the criteria in general
          <xref ref-type="bibr" rid="ref15">(cf. Quirk et al.
1985: 402–404)</xref>
          .
        </p>
        <p>
          Triples: This survey has considered “triples”,
groups containing two prenominal adjectives
immediately followed by a noun. Though there are
instances in the BNC of more than two adjectives
preceding a single noun, these are rare: In the entire
10 million-words spoken portion of the BNC, there
are 9,647 adjective pairs. Only 426 of these pairs
are immediately followed by another adjectives, or
4.41%. Conversely, the vast majority of these
adjective pairs (6,560, or 68%) are followed by a
noun
          <xref ref-type="bibr" rid="ref22">(cf. Wulff 2003)</xref>
          . Therefore this study will be
primarily concerned with the behavior of triples
(Adjective-Adjective-Noun constructions).
        </p>
        <p>Unbroken adjective pairs: This study treats
“unbroken” adjective pairs; that is, those that are
not joined by a conjunction. The behavior of
“broken” adjective strings is not well understood at
the present moment. It seems that broken strings
are, at least at first glance, less sensitive to
adjective ordering restrictions. For example,
compare the grammaticality of the utterance in (5)
with that of the utterance in (6):
(5) *green small car
(6) ?green and small car</p>
        <p>This is doubtless an area for further research,
but one that will not be discussed further in the
present work.
3</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Expanding Nominal Character</title>
      <p>
        When analyzing Nominal Character, Wulff draws
primarily from Posner’s (1986) so called
“nouniness principle” – less “noun-like” adjectives
tend to precede more “noun-like” ones. There are
two methods of analyzing the Nominal Character of
an adjective: Posner’s analysis, which has some
noted problems and cannot be effectively utilized in
a corpus analysis1; and Wulff’s analysis, which was
created specifically for operationalization in a
corpus analysis. For purposes of ease and clarity,
this study is concerned with Wulff’s
        <xref ref-type="bibr" rid="ref22">(slightly
                                                                                                              
1 For a full discussion of the problems of Posner’s analysis, see
Wulff 2003, §4.2.1. Suffice it to say that there are problems in
interpreting Posner, and his analysis relies upon intuitions that
cannot be utilized on a large enough scale in a corpus analysis.
altered)</xref>
        presentation of Nominal Character, which
in turn draws a number of key insights from
Posner.
      </p>
      <p>Here, frequencyadj is the frequency of the word
as an adjective and frequencyn is the frequency of
the word as a zero-derived noun.</p>
      <p>Wulff’s use of Nominal Character: Wulff
maintains a number of the parameters of Posner’s
original study. The most important of these for the
purposes of this study is that Wulff surveys
adjectives and zero-derived nouns (e.g., “green” as
an adjective ‘green car’ and “green” as a noun ‘I
love this green’) to be consistent with Posner’s
apparent intentions. For use in her analysis, Wulff
determined the number of times each word was
tagged as an adjective or as a noun in the BNC,
and used these numbers to calculate a word’s
Nominal Character value. According to Wulff’s
formula for Nominal Character, the higher a
word’s Nominal Character value, the more likely
it would be to appear as the second adjective in a
string (and conversely, the lower its value, the
more likely it would be to appear as the first
adjective in a string). See §3.1 below for a fuller
discussion of Wulff’s formula.</p>
      <sec id="sec-3-1">
        <title>3.1 Beyond zero-derivation</title>
        <p>In order to approach a fuller operationalization of
Nominal Character, we must stray a bit from
Posner’s original criteria: Zero-derivation should
not be a strict criterion in determining Nominal
Character. If we expand our analysis to include
overtly derived adjectives and nouns, we can
highlight relationships currently considered
outside of the scope of Nominal Character. There
is a significant problem with expanding this
analysis past zero-derivation, however: In Wulff’s
operationalization of nominal character, the
BNC’s tags were sufficient to provide the
variables needed to solve the equation for Nominal
Character, whereas a simple tag search for a single
word will not provide us with the information
necessary for morphologically distinct, rather than
zero-derived, forms. In order to analyze
morphologically distinct forms, we must slightly
alter Wulff’s formula for Nominal Character. The
original formula is represented by (7), and the
revised formula is presented in (8):
(7) NOMCHAR = 1 –</p>
        <p>frequencyadj
frequencyadj+ frequencyn
frequencyadj
frequencyadj+  frequencydn</p>
        <p>Here, NOMCHARD is “Nominal Character
(Derived)”, frequencyadj is the frequency of an
adjective, and frequencydn is the frequency of a
noun derived from this adjective (“derived noun”).</p>
        <p>Alternatively, NOMCHARD can analyze words
with an opposite derivation pattern, i.e. an
adjective that is derived (morphologically) from a
noun and the noun from which it was derived. In
this case, the formula will take the form in (9):
(9) NOMCHARD = 1 –
frequencyda
frequencyda+ frequencyn</p>
        <p>The only difference is that here, frequencyn is
the frequency of a noun, and frequencyda is the
frequency of an adjective derived from this noun
(“derived adjective”).</p>
        <p>The output of this formula provides the same
predictions as Wulff’s formula: The higher a
word’s Nominal Character (Derived) value, the
more likely it is to be the second adjective in a
string, and vice-versa.</p>
        <p>Due to a lack of resources and technical
expertise, this analysis was not performed
automatically, and as a result of this, the test pool is
necessarily smaller than the one presented in Wulff
– 528,714 words. On the one hand, this manual
analysis corrects any instances of incorrect tagging
in the BNC. On the other hand, however, this
manual analysis increases the possibility for human
error – I have checked and double-checked all
results, but any errors are my own.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2 Interpreting the Results</title>
        <p>Since this analysis is manual, interpretation of the
output is manual as well – by utilizing native
speaker intuitions, and drawing generalizations and
conclusions when comparing them with a word’s
NOMCHARD value. A noted difference between
Nominal Character and our expanded Nominal
Character (Derived) is that, whereas the vast
majority of adjectives (89.1% in Wulff’s analysis)
have a Nominal Character value between 0 and 0.1,
Nominal Character (Derived) values seem to vary
more widely. As a result of this, conclusions
regarding the influence of Nominal Character
(Derived) on adjective order can be made utilizing
a larger portion of the Nominal Character
spectrum, making manual interpretation
considerably less daunting. The following
generalizations draw on the fact that Nominal
Character (Derived) values vary more widely, and
assume a fairly regular distribution of values from
0 to 1. For now, take these conclusions as
generalizations that will be specified and clarified
by examples (§4) and explanations of these
examples (§5).</p>
      </sec>
      <sec id="sec-3-3">
        <title>Outputs between 0 and .5: When the input of</title>
        <p>frequencya (or frequencyda) is greater than the
input of frequencydn (or frequencyn), the output of
Nominal Character (Derived) will fall somewhere
between 0 and .5, non-inclusive
({0&lt;NOMCHARD&lt;.5}). When an adjective has a
Nominal Character (Derived) value between 0 and
.5, it is relatively less “noun-like.” These
adjectives are more likely to appear as adjective1
(that is, the adjective further from the noun). In a
more general sense, this indicates that the quality
represented by the adjective is conceptualized by
native speakers as somehow more adjectival rather
than noun-like – the adjective is the semantically
primary member of the pair.</p>
        <p>Outputs at .5: When the input of frequencya
(or frequencyda) is equal to the input of frequencydn
(or frequencyn), the output of Nominal Character
(Derived) will be exactly .5 ({NOMCHARD = .5}).
When an adjective has a Nominal Character
(Derived) value of .5, there can be no definitive
statement of whether it should occur generally in
adjective1 or adjective2 position, and so its position
will be determined by the tendency of the other
adjective in the string. For instance, if an adjective
with a Nominal Character (Derived) value of .5 is
put into a string with an adjective with a value of
.2 (which should appear in adjective1 position), the
adjective with the value of .5 should appear as
adjective2. In the present study, however, no words
are presented that have a Nominal Character
(Derived) value of exactly .5. Indeed, it would be
quite a coincidence if an adjective were to appear
exactly as many times as its corresponding noun –
but the possibility should not be ruled out entirely.
Given the relatively limited scope of the test pool
in this study, to do so would be hasty at best.</p>
      </sec>
      <sec id="sec-3-4">
        <title>Outputs between .5 and 1: When the input of</title>
        <p>frequencya (or frequencyda) is less than the input of
frequencydn (or frequencyn), the output of Nominal
Character (Derived) will fall somewhere between .5
and 1, non-inclusive ({.5&lt;NOMCHARD&lt;1}). When
an adjective has a Nominal Character (Derived)
value between .5 and 1, it is relatively more
“nounlike.” These adjectives are more likely to appear as
adjective2 (that is, the adjective closer to the noun).
In a more general sense, this indicates that the
quality represented by the adjective is
conceptualized by native speakers as being
somehow more noun-like rather than adjectival –
the noun is the semantically primary member of the
pair.</p>
        <p>See Figure 3.1 for a graphic representation of
the tendencies of adjectives of various Nominal
Character (Derived) values.</p>
        <sec id="sec-3-4-1">
          <title>Adjective 1</title>
        </sec>
        <sec id="sec-3-4-2">
          <title>Adjective 2</title>
          <p>0</p>
          <p>.5
Nominal Character (Derived) Value
1</p>
          <p>Interpretation in Pairs: When analyzing a pair
of adjectives, the individual Nominal Character
(Derived) values for each are first interpreted. If it is
the case that one adjective should prefer adjective1
position and the other should prefer adjective2
position, there should be no discrepancy in
determining the order of the two adjectives. If it is
the case, however, that the two adjectives should
prefer the same position, say, adjective1, the two
values have to be compared with one another.
Whichever adjective more strongly prefers this
position will occupy it, and force the other adjective
into the remaining position. For instance, if two
adjectives should prefer adjective1 position, and their
corresponding Nominal Character (Derived) values
are .1 and .4, the adjective with the value of .1 will
occupy adjective1 position, forcing the remaining
adjective into adjective2 position.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Examples of NOMCHARD</title>
      <p>For this study, a manual search through a test pool
of 528,714 words in the BNC was performed for 8
adjectives and corresponding nouns: Four of these
Pair #
1
2
3
4
5
6
7
8
Pair #
1
2
3
4
5
6
7
8</p>
      <p>Adjective
beautiful
colourful
wonderful
dangerous
heavy
smooth
certain2
positive
Pair #
1
2
3
4
5
6
7
8</p>
      <p>Noun
beauty
colour
wonder
danger
heaviness
smoothness
certainty
positivity
pairs consisted of a noun and an adjective that had
been overtly derived from this noun, and four of
these pairs consisted of an adjective and a noun
that had been overtly derived from this adjective.
The pairs are listed in Table 4.1 below.
                                                                                                              
2 It has been brought to my attention that I overlooked this
word’s function as a determiner, and due to time constraints I
have not been able to rectify this in the present study. See §6
for further discussion.</p>
      <sec id="sec-4-1">
        <title>4.1 Interpreting examples of NOMCHARD</title>
        <p>When taken together, two adjectives’ Nominal
Character (Derived) values can aid us in predicting
their position in a triplet. To begin, we will only
consider Nominal Character (Derived), and once
we have come to a basic understanding of this
relationship we will extend the interpretation to
reconcile it with Nominal Character as a singular
entity.</p>
        <p>Nominal Character (Derived): When looking
at Nominal Character (Derived) values, we should
be able to pair any two of these adjectives and
predict their position in a string. The exceptions here
are pairs 5 and 8, which do not have enough
information in the corpus, and therefore escape
analysis: These can be analyzed, however, through
the values of other adjectives, as we will see below.
Beginning with a random pairing, compare
“wonderful” (from pair 3) and “certain” (from pair
7). When we pair these to modify some noun, say
“traits,” we find that the ordering is as their values
predict. Compare the grammaticality of the utterance
in (10) with that of the utterance in (11):
(10) certain (.040) wonderful (.384) traits
(11) ?wonderful (.384) certain (.040) traits</p>
        <p>Native speakers generally accept the
grammaticality of the utterance in (10). On the other
hand, the grammaticality of the utterance in (11) is
context-dependent at best: In the absence of any
special emphasis or changes in prosody, this seems a
less-grammatical utterance.</p>
        <p>To take another example of the predictive
capability of Nominal Character (Derived), another
random pairing: Take smooth (from pair 6) and
colourful (from pair 2), along with a noun, say,
“dress.” Compare the grammaticality of the
utterance in (12) with that of the utterance in (13):
(12) smooth (.036) colourful (.954) dress
(13) ?colourful (.954) smooth (.036) dress</p>
        <p>The distinction here is, admittedly, less clear
than the distinction between (10) and (11). The
difference in two adjectives’ Nominal Character
(Derived) values should not be taken as a measure
of the rigidity of the ordering preference, but rather
as a general guideline for ordering preference.</p>
        <p>It isworth noting that there are pairings that
will not fit this general guideline. Take, for
example, “beautiful” (from pair 1) and “smooth”
(from pair 6). The predicted ordering is
represented in (14), while the preferred ordering is
shown in (15):
(14) ?smooth (.036) beautiful (.954) door
(15) beautiful (.954) smooth (.036) door</p>
        <p>This example violates the principle of
Nominal Character (Derived). For a full discussion
of exceptions to Nominal Character (Derived), see
§§6-7 below. Given the apparent multifactorial
nature of adjective order, it is not surprising that
there are some exceptions to Nominal Character
(Derived).</p>
        <p>Now, returning to pairs (5) and (8), which
could not be properly analyzed in the corpus
analysis: We can use a reverse analysis to attempt
to find the Nominal Character (Derived) value of
these two adjectives. Consider the preferred
ordering of “heavy” and “smooth”, shown in (16),
and the non-preferred ordering, shown in (17):
(16) smooth (.036) heavy (*) door
(17) ?heavy (*) smooth (.036) door</p>
        <p>For the purposes of this study, this
generalization will suffice: By comparing an
adjective (which is either derived from a noun, or
from which a noun is derived) with an unknown
Nominal Character (Derived) value with an
adjective with a known Nominal Character
(Derived) value, we can approximate a range of
values. For instance, in (16) we see that the
Nominal Character (Derived) value for “heavy”
likely falls somewhere above .036. With enough
adjective pairs, the range can be narrowed, and we
can estimate a more accurate value.
5</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Situating NOMCHARD</title>
      <p>
        Nominal Character (Derived) is, in essence, a
single aspect of Nominal Character. Use of
Nominal Character (Derived) should generally be
restricted to those adjectives that would not be
properly analyzed through Nominal Character (for
instance, “colourful” is considerably less likely to
appear as a zero-derived noun than it is as
“colour”). In order to use Nominal Character
(Derived) under the umbrella of Nominal
Character, we must make adjustments that take into
consideration the fact that, while Nominal
Character (Derived) values cover a very large
range, the vast majority of Nominal Character
values fall between 0 and .1
        <xref ref-type="bibr" rid="ref22">(Wulff 2003)</xref>
        . Doing so
simply involves multiplying the Nominal Character
(Derived) value by .1 (in general, however, in order
to account for the minority of adjectives with
values between .1 and 1, some adjustments should
be made which, at present, have not been included).
      </p>
      <sec id="sec-5-1">
        <title>External support for NOMCHARD: By drawing</title>
        <p>generalizations from a pragmatic factor in adjective
order, we find that Nominal Character (Derived)
fits into Wulff’s framework. Wulff presents a
factor, drawing on the work of Bock (1983) and
Ney (1982), called General Frequency, that
presents a correlation between the number of times
an adjective occurs in a corpus (its general
frequency) and its proximity to the noun: The more
frequently an adjective occurs, the more likely it is
to appear as adjective1, further from the noun. By
generalizing this factor to take into account an
adjective’s relative frequency (i.e., the number of
times it occurs as an adjective rather than a noun),
we find another way of interpreting Nominal
Character (Derived). In this view, the greater the
frequency of an adjective, and the lower the
frequency of its corresponding noun, the more
likely it is to appear as adjective1 in a string (and
vice-versa).
6</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>Discussion</title>
      <p>In general, Nominal Character (Derived) can be
used as a secondary aspect of Nominal Character in
cases where Nominal Character would not
accurately analyze an adjectives trend toward
nominalization. Due to the apparent multifactorial
nature of adjective ordering restrictions, however,
there are times when it seems nominal Character
(Derived) cannot properly predict adjective order.
When there is significant influence from other
factors that have not been considered in the present
analysis, there may be a discrepancy in predicting
adjective order with Nominal Character (Derived).
In these cases, it seems that this factor’s efficacy
may be dwarfed by other factors. Nonetheless, by
expanding the criteria of Nominal Character we are
able to more accurately represent a phenomenon
which likely accounts, in part, for adjective order.</p>
      <p>Returning to the issue presented in note 2 in
§4: It has been pointed out that the usage of
‘certain’ and ‘certainty’ here may fall outside the
scope of this study: Its use in (10) and (11) is more
akin to a determiner than an adjective. Therefore,
as noted by one reviewer, it is possible that rather
than preferring adjective1 position, it occupies the
determiner position. Unfortunately, due to time
constraints, this cannot be rectified in the current
analysis. This will, hopefully, be addressed when
this analysis is more complete.</p>
      <p>Regarding the future of this study, it is this
author’s hope that an automated analysis can be
performed, in order to provide a more
representative sample of adjectives in a larger test
pool. Additionally, see §7 for a discussion of
further research in morphological factors in
adjective ordering.
7</p>
    </sec>
    <sec id="sec-7">
      <title>For further research</title>
      <p>Over the course of this study, a number of
conceivable relationships have come to light
specifically regarding the status of morphology in
determining adjective order that have not yet been
considered in a corpus analysis. I will here
describe these and give some basic considerations
3
regarding them .</p>
      <p>Adverbial Character: Adverbial Character,
or ADVCHAR, analyzes the relative frequency of an
adjective and its corresponding adverb (for
instance, wonderful and wonderfully). This factor
predicts that the higher an adjective’s Adverbial
Character value, the more likely it is to occur as
adjective1 (in contrast to Nominal Character). The
formula is shown in (18):
(18) ADVCHAR = 1 –
frequencyadj
frequencyadj+ frequencyadv</p>
      <p>Average Nominal Character (Derived): For
either (i) an adjective from which a number, n, of
nouns can be derived using distinct derivational
affixes, or (ii) a noun from which a number, n, of
adjectives can be derived using distinct
derivational affixes, it may be possible to predict
adjective order by calculating the average of the
                                                                                                              
3 What follows in this section is largely speculation. No
corpus analysis has been performed to test these hyptotheses.</p>
      <p>Nominal Character (Derived) values for each
adjective. For instance, if we take the adjectives
green and greenish, and find that they have greatly
differing Nominal Character (Derived) values, it
may be the case that by comparing the average of
these two values with the other adjective in the
string, we may be able to correct our prediction.
The formula for this is shown in (19):</p>
      <p>Where NCD is Nominal Character (Derived)
and n is the number of Nominal Character
(Derived) values that are being compared.</p>
      <sec id="sec-7-1">
        <title>Relative Morpheme Frequency: There may</title>
        <p>be a relationship between the derivational affix
used to derive an adjective and its place in a
twoadjective string. Following the pattern of Nominal
Character (Derived) and our generalization of
General Frequency, it may be the case that the more
often a derivational affix occurs, the more likely it
is to force an adjective into adjective1 position.
There are two ways to assess an affix’s frequency,
represented by (20) and (21):
(20) RMF =</p>
        <p>frequencyM1
frequencyM1  +  … frequencyMn</p>
        <p>Where M is a morpheme, M1 is the morpheme
in question, and n is the total number of all
derivation affixes. Alternatively:
(21) RMF =
frequencyM1</p>
        <p>!</p>
        <sec id="sec-7-1-1">
          <title>Where S is the size of the test pool.</title>
          <p>8</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-8">
      <title>Conclusion</title>
      <p>In order to more effectively utilize Nominal
Character in predicting adjective order, it may prove
helpful to expand the analysis past zero-derivation.
By including derived forms, certain adjectives may
be analyzed more accurately in those situations
where Nominal Character may not correctly predict
an adjective’s position in a string. More generally,
morphological considerations for adjective order
may help further our understanding of the
phenomenon as a whole.</p>
    </sec>
    <sec id="sec-9">
      <title>Acknowledgements</title>
      <p>I am indebted to a number of people for their
contributions over the course of this study, most
notably Professor Claire Foley, for her comments
and guidance, the faculty of the Boston College
Slavic &amp; Eastern Languages and Literatures
department, my peers Joseph Maimone, Harry Hoy,
and Eddie Hasell, and my parents.</p>
    </sec>
    <sec id="sec-10">
      <title>Appendix (Abbreviations)</title>
      <p>adj: adjective
AO: adjective order (or adjective ordering
restrictions)
adv: adverb
ADVCHAR: Adverbial Character
AVGNCD: Average Nominal Character (Derived)
BNC: (Second) British National Corpus
da: derived adjective
dn: derived noun
M: morpheme
NOMCHAR: Nominal Character
NOMCHARD: Nominal Character (Derived)
n: noun (though it may be a variable in certain
equations)
RMF: Relative Morpheme Frequency</p>
      <p>Wortstellung.</p>
      <p>Bloomfield, L. 1933. Language. Chicago, London:</p>
      <p>Chicago University Press.</p>
      <p>Biber, D., S. Johansson, G. Leech, S. Conrad, &amp; E.</p>
      <p>Finegan (Eds.) 1999. Longman Grammar of Spoken
and Written English. London: Longman.</p>
      <p>Bock, J. K. 1982. Toward a Cognitive Psychology of
Syntax: Information Processing Contributions to
Sentence Formation. Psychological Review, 89, 1-47.
Bolinger, Dwight. 1967. Adjectives in
attribution and predication. Lingua, 18, 1-34.</p>
      <p>English:
Cinque, Guglielmo. 2010. The syntax of adjectives: A
comparative study. Linguistic Inquiry Monographs
57. Cambridge, MA: MIT Press.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          <string-name>
            <surname>Andrews</surname>
          </string-name>
          , Avery.
          <year>1983</year>
          .
          <article-title>A note on the constituent structure of modifiers</article-title>
          .
          <source>Linguistic Inquiry</source>
          ,
          <volume>14</volume>
          ,
          <fpage>695</fpage>
          -
          <lpage>697</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          <string-name>
            <surname>Behaghel</surname>
            ,
            <given-names>O.</given-names>
          </string-name>
          <year>1930</year>
          .
          <article-title>Von deutscher Zeitschrift für Deutschkunde</article-title>
          ,
          <volume>44</volume>
          ,
          <fpage>81</fpage>
          -
          <lpage>89</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          <string-name>
            <surname>Deese</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          <year>1964</year>
          .
          <article-title>The Associative Structure of Some Common English Adjectives</article-title>
          .
          <source>Journal of Verbal Learning and Verbal Behavior</source>
          ,
          <volume>3</volume>
          ,
          <fpage>347</fpage>
          -
          <lpage>357</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          <string-name>
            <surname>Dixon</surname>
            ,
            <given-names>R. M. W.</given-names>
          </string-name>
          <year>1977</year>
          .
          <article-title>Where Have all the Adjectives Gone? Studies in Language</article-title>
          ,
          <volume>1</volume>
          ,
          <fpage>19</fpage>
          -
          <lpage>80</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          <string-name>
            <surname>Ertel</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          <year>1971</year>
          .
          <article-title>Pränominale Adjektivfolgen und semantische Tiefenstruktur</article-title>
          .
          <source>Studia Psychologica</source>
          ,
          <volume>13</volume>
          ,
          <fpage>127</fpage>
          -
          <lpage>137</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          <string-name>
            <surname>Goyvaerts</surname>
            ,
            <given-names>D. L.</given-names>
          </string-name>
          <year>1968</year>
          .
          <article-title>An Introductory Study on the Ordering of a String of Adjectives in Present-day English</article-title>
          .
          <source>Philologica Pragensia</source>
          ,
          <volume>11</volume>
          ,
          <fpage>12</fpage>
          -
          <lpage>28</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          <string-name>
            <surname>Hetzron</surname>
            ,
            <given-names>R.</given-names>
          </string-name>
          <year>1978</year>
          .
          <article-title>On the Relative Order of Adjectives</article-title>
          . In H. Seiler (Ed.),
          <source>Language Universals</source>
          (pp.
          <fpage>165</fpage>
          -
          <lpage>184</lpage>
          ). Tübingen: Narr.
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          <string-name>
            <surname>Kilgarriff</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          <year>1997</year>
          .
          <article-title>I don't believe in word senses</article-title>
          .
          <source>Computers and the Humanities</source>
          ,
          <volume>31</volume>
          ,
          <fpage>91</fpage>
          -
          <lpage>113</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          <string-name>
            <surname>Lapata</surname>
            , M.,
            <given-names>S. McDonald</given-names>
          </string-name>
          , &amp; F. Keller
          <year>1999</year>
          .
          <article-title>Determinants of Adjective-Noun Plausibility</article-title>
          .
          <source>Proceedings of the 9th Conference of the European Chapter of the Association for Computational Linguistics</source>
          ,
          <fpage>30</fpage>
          -
          <lpage>36</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          <string-name>
            <surname>Lockhart</surname>
            ,
            <given-names>R. S.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>&amp; J. E. Martin</surname>
          </string-name>
          <year>1969</year>
          .
          <article-title>Adjective Order and the Recall of Adjective-Noun Triples</article-title>
          .
          <source>Journal of Verbal Learning and Verbal Behavior</source>
          ,
          <volume>8</volume>
          ,
          <fpage>272</fpage>
          -
          <lpage>275</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          <string-name>
            <surname>Martin</surname>
            ,
            <given-names>J. E.</given-names>
          </string-name>
          <year>1969</year>
          .
          <article-title>Semantic Determinants of Preferred Adjective Order</article-title>
          .
          <source>Journal of Verbal Learning and Verbal Behavior</source>
          ,
          <volume>8</volume>
          ,
          <fpage>697</fpage>
          -
          <lpage>704</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation>
          <string-name>
            <surname>Ney</surname>
            ,
            <given-names>J. W.</given-names>
          </string-name>
          <year>1983</year>
          .
          <article-title>Optionality and Choice in the Selection of Order of Adjectives in English</article-title>
          .
          <source>General Linguistics</source>
          ,
          <volume>23</volume>
          ,
          <fpage>94</fpage>
          -
          <lpage>128</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref13">
        <mixed-citation>
          <string-name>
            <surname>Panayidou</surname>
          </string-name>
          , Fryni.
          <year>2013</year>
          .
          <article-title>(In)flexibility in Adjective Ordering</article-title>
          .
          <source>Doctoral Dissertation</source>
          , Queen Mary, University of London.
        </mixed-citation>
      </ref>
      <ref id="ref14">
        <mixed-citation>
          <string-name>
            <surname>Posner</surname>
            ,
            <given-names>R.</given-names>
          </string-name>
          <year>1986</year>
          .
          <article-title>Iconicity in Syntax. The Natural Order of Attributes</article-title>
          . In P. Bouissac,
          <string-name>
            <given-names>M.</given-names>
            <surname>Herzfeld</surname>
          </string-name>
          , &amp; R. Posner (Eds.),
          <source>Iconicity. Essays on the Nature of Culture</source>
          (pp.
          <fpage>305</fpage>
          -
          <lpage>337</lpage>
          ). Tübingen: Stauffenburg Verlag.
        </mixed-citation>
      </ref>
      <ref id="ref15">
        <mixed-citation>
          <string-name>
            <surname>Quirk</surname>
            , R.,
            <given-names>S.</given-names>
          </string-name>
          <string-name>
            <surname>Greenbaum</surname>
          </string-name>
          , G. Leech, &amp; J.
          <string-name>
            <surname>Svartvik</surname>
          </string-name>
          (Eds.)
          <year>1985</year>
          .
          <article-title>A Comprehensive Grammar of the English Language</article-title>
          . London: Longmans.
        </mixed-citation>
      </ref>
      <ref id="ref16">
        <mixed-citation>
          <string-name>
            <surname>Richards</surname>
            ,
            <given-names>M. M.</given-names>
          </string-name>
          <year>1975</year>
          .
          <article-title>The Pragmatic Communication Rule of Adjective Ordering: A Critique</article-title>
          .
          <source>American Journal of Psychology</source>
          ,
          <volume>88</volume>
          ,
          <fpage>201</fpage>
          -
          <lpage>215</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref17">
        <mixed-citation>
          <string-name>
            <surname>Richards</surname>
            ,
            <given-names>M. M.</given-names>
          </string-name>
          <year>1977</year>
          .
          <article-title>Ordering Preferences for Congruent and Incongruent English Adjectives in Attributive and Predicative Contexts</article-title>
          .
          <source>Journal of Verbal Learning and Verbal Behavior</source>
          ,
          <volume>16</volume>
          ,
          <fpage>489</fpage>
          -
          <lpage>503</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref18">
        <mixed-citation>
          <string-name>
            <surname>Stubbs</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          <year>2001</year>
          .
          <article-title>Words and Phrases: Corpus Studies of Lexical Semantics</article-title>
          . Cornwall: Blackwell.
        </mixed-citation>
      </ref>
      <ref id="ref19">
        <mixed-citation>
          <string-name>
            <surname>Teodorescu</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          <year>2006</year>
          .
          <article-title>Adjective Ordering Restrictions Revisited</article-title>
          .
          <source>Proceedings of the 25th West Coast Conference on Formal Linguistics</source>
          ,
          <fpage>399</fpage>
          -
          <lpage>407</lpage>
          . Somerville, MA: Cascadilla Proceedings Project.
        </mixed-citation>
      </ref>
      <ref id="ref20">
        <mixed-citation>
          <string-name>
            <surname>Truswell</surname>
            ,
            <given-names>R.</given-names>
          </string-name>
          <year>2009</year>
          .
          <article-title>Attributive adjectives and nominal templates</article-title>
          .
          <source>Linguistic Inquiry</source>
          ,
          <volume>40</volume>
          ,
          <fpage>525</fpage>
          -
          <lpage>533</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref21">
        <mixed-citation>
          <string-name>
            <surname>Whorf</surname>
            ,
            <given-names>B. L.</given-names>
          </string-name>
          <year>1945</year>
          .
          <string-name>
            <given-names>Grammatical</given-names>
            <surname>Categories</surname>
          </string-name>
          . Language,
          <volume>21</volume>
          ,
          <fpage>1</fpage>
          -
          <lpage>11</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref22">
        <mixed-citation>
          <string-name>
            <surname>Wulff</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          <year>2003</year>
          .
          <article-title>A multifactorial corpus analysis of adjective order in English</article-title>
          .
          <source>International Journal of Corpus Linguistics</source>
          ,
          <volume>8</volume>
          :
          <fpage>2</fpage>
          ,
          <fpage>245</fpage>
          -
          <lpage>282</lpage>
          .
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>