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<APA page-header="Is English Spelling">
<tp>
  <running-head>IS ENGLISH SPELLING CHAOTIC?</running-head>
  <tp-title>Is English Spelling Chaotic? Misconceptions
    Concerning its Irregularity</tp-title>
  <bylines>
    <byline>Brett Kessler and Rebecca Treiman</byline>
    <byline>Washington University in St. Louis</byline>
  </bylines>
</tp>

<abstract>An overview of the goals of English orthography counters the
misconception that its spelling is chaotic and unprincipled. Direct
representation of the speaker’s phonemes is not its only goal. But
even the sound-to-letter correspondences are not as inconsistent as
widely believed. A survey of first-grade text vocabulary shows that
spelling consistency is increased significantly if one takes into
account the position of the phoneme within the syllable and the
identity of the phonemes in the environment. Environmental influences
within the rime are especially important. Understanding these
patterns may reduce the complexity of spelling for learners and those
with spelling problems.</abstract>
<!--comment: now 100 words -->

<text>
<section>
<p>It is generally believed that the best writing system for a
language would be an alphabet that always spells a particular sound in
only one way. A person who knew nothing about Finnish except for the
sound–letter correspondences could do a credible job of spelling out
dictated words or of pronouncing written text. Because of its
consistent one-to-one mapping of sounds to letters, Finnish is widely
considered to have a nearly optimal orthography. By the same standard,
English is generally considered to be “chaotic and indefensible” 
(Dewey, 1971, p.&nobrk;4), with the worst orthography of all those
that have pretensions to being alphabetic. Dewey's quote, in fact, is
one of the kinder remarks made by people who have evaluated the
complexity of English spelling. Lists like “<ling>tough, though,
through, bough</ling>” have led people to consider English
orthography to be hopelessly irregular, a pathological mishmash of
correspondences randomly accrued over the past thousand years. With
only a touch of irony, G. B. Shaw claimed that “English can’t be
spelt” (Bett, n.d.). Psychologists and literacy researchers usually
express themselves in more sober terms: English has a
<ling>deep</ling> orthography (Frost, 1992), or it is
<ling>morphophonemic</ling> rather than phonetic. Whatever the
nomenclature, English is thought to be far distant from the alphabetic
ideal. As a result of these appraisals and of their own observations,
some educators have despaired of teaching sound–letter
correspondences to beginning spellers. Children are often asked to
memorize words as wholes (Scott, 2000), and some people have advocated
that the English spelling system be reformed to bring it in line with
the ideal of one-to-one mapping (e.g., Dewey, 1971; Lindgren,
1969).</p>

<p>In this paper we wish to state the case for English spelling. We do
not want to claim that the English writing system is ideal, nor do we
wish to gloss over the real challenges it poses for children. But it
is important to understand the nature of English spelling, and it is
seriously misunderstood. English spelling is by no means irrational or
pathological, but serves several goals other than that of one-to-one
phoneme–letter correspondence that critics have imposed on it. The
first part of this paper will briefly describe these additional goals
of the spelling system. The second and larger part of this paper will
address the issue of regularity. We will argue that English is not
nearly as irregular as people think, and will put forward our own
ideas about how to measure the regularity, or consistency, of English
orthography. In particular, we seek to find out which parts of words
have the greatest inconsistency, and to find larger patterns that in
effect reduce that inconsistency. Throughout, we focus on the
implications of these findings for the teaching of spelling. Early
attention to the most productive patterns is expected to make the
learning of correct spelling easier and more effective.</p> </section>

<section><heading level="1">The Principles of English Spelling</heading>

<p>Under the most gloomy account of the history of English
orthography, the writing system has all but collapsed as a result of
centuries of neglect. Like all alphabetic systems, it was meant to
have one unique spelling for each of the phonemes in the language. But
due in part to the many linguistic and cultural influences on English,
there was always a great deal of variation in English spelling, so
that even the same word could often be spelled in several different
ways. When pressures for standardization arose, a single spelling for
each word was chosen in a haphazard fashion from among all the
competing spellings, resulting in a huge amount of irregularity in the
system. There is more than a grain of truth in that analysis, but it
ignores the possibility that a writing system may have goals other
than one-to-one mapping between sounds and letters. In fact, the
English spelling system has been shaped by at least three other major
principles.</p>

<p><heading>Conservatism.</heading> Once a spelling is widely
accepted, it tends to stick. Although this conservatism is often
criticized, it can be useful. If spellings changed, effort would need
to be expended to learn the new system; fully literate people would
need to learn both systems in order to read recent texts as well as
older ones written in the old system. A less obvious benefit of
conservatism is that it results in a system that applies equally to
many different accents of English. To most speakers of English
throughout the world, the distinction between <ling>wh</ling> and
<ling>w</ling> is meaningless, because their accents have lost the
pronunciation distinction that the spelling distinction originally
meant to reflect. But most speakers in Scotland and Ireland still
pronounce those two spellings differently. If the spelling system had
been less conservative and the spelling had changed as soon as the
distinction was lost in London, then what of the speakers in Scotland
and Ireland? They would have no motive to adopt a change that would
fit their language worse than before. Conservatism serves the function
of keeping English spelling reasonably consistent around the
globe.</p>

<p><heading>Unadapted spelling of loan words.</heading> English
borrows words freely from other languages, and it almost always uses
the spelling of the original language when it does so. Often this
unadapted spelling is considered a pretentious nuisance, as if
<ling>quiche</ling> is so spelled simply to advertise the fact that
one knows French. In reality, the unadapted spelling helps everybody,
particularly when the word is first being used in English and is not
yet in the English dictionaries. People who know French may
immediately recognize the word; those who do not can at least look it
up in a French dictionary. If they had encountered the word in the
guise <ling>keash,</ling> they would know how to pronounce it but it
would be much harder to ascertain its meaning. Of course, after the
word is fully accepted and appears in all the English dictionaries,
the situation is a little different. But then the conservatism of
English takes over: After the word is fully established in the
spelling <ling>quiche,</ling> the spelling sticks.  This process of
unadapted spelling has a strong impact on the language because very
many English words contain Latin and Latinized Greek elements, which
are spelled as they were in Latin.</p>

<p><heading>Representation of nonphonemic information.</heading> The
spelling of a word can tell more than just how to pronounce it.
Largely as a side-effect of the above two criteria, English now has
many sets of words where the spellings tell more about the meanings
than the pronunciations alone could.  For example, the homophones
<ling>sight,</ling> <ling>site,</ling> and <ling>cite</ling> are
distinguished, in the first case because the spellings are
conservative and represent some sounds whose pronunciations have
changed (<ling>sight,</ling> where the <ling>gh</ling> represents a
consonant that is no longer pronounced), and also because words from
Latin use Latin spelling (the stems of <ling>site</ling> and
<ling>cite</ling>).  The same principle applies to meaningful parts of
words as well (<ling>morphemes</ling>).  The reader who encounters the
word <ling>citatory</ling> for the first time does not have to waste
time considering whether it might have something to do with
<ling>site</ling>.  This function of morpheme identification has been
pointed out by Chomsky (1970). What may be less obvious is that the
spelling may tell whether a word is a grammatical (function) word or a
lexical (content) word. For example, with rare exceptions, lexical
words have at least three letters. The grammatical word
<ling>in</ling> is spelled with two letters, but the lexical word
<ling>inn</ling> has to be longer. This is achieved by doubling the
last letter, resulting in a spelling that looks irregular if one does
not understand the principle (Venezky, 1970).</p>

<p>Thus English spelling conveys a good deal more information than
just the pronunciation, and serves other functions as
well. Admittedly, for children acquiring literacy, many of these
considerations are cold comfort. The writing system does not become
any easier for the individual learner from knowing that it applies
equally well to multiple dialects and is constant over time. Other
features, such as its retention of foreign spellings, only fully
benefit people who read the relevant languages. Reminding a six-year
child to put a <ling>ph</ling> in <ling>phone</ling> by invoking the
Greek word for <ling>sound</ling> would be explaining <ling>obscurum
per obscurius</ling>. But the system is not pathological; it is based
on principles and does a reasonably good job of applying them.</p>
</section>

<section>
<heading level="1">The Complexity of English Spelling</heading>

<p>Even if we concede that English orthography is not pathologically
chaotic, we may still wonder whether it is hopelessly complex,
especially for children who are not yet up to speed on their Latin and
Greek. To discuss the complexity or consistency of English spelling,
it is important to develop a quantitative measure. That not only casts
the discussion in objective terms, but it also enables us to
convincingly compare the relative complexity of the different parts of
words.</p>

<p>Attempts at measuring the complexity of English spelling usually
begin, and end, by observing how many different spellings a given
sound has in different words. For example, Dewey (1971; Appendix A)
lists all the different spellings for each phoneme. The entry for
<phoneme>ɛ</phoneme> (see International Phonetic Association, 1996,
1999 for a description of the phonetic symbols used in this paper)
lists <ling>many</ling> <ling>(a),</ling> <ling>said</ling>
<ling>(ai),</ling> <ling>says</ling> <ling>(ay),</ling>
<ling>men</ling> <ling>(e),</ling> <ling>ledge</ling>
<ling>(e_e),</ling> <ling>head</ling> <ling>(ea),</ling>
<ling>cleanse</ling> <ling>(ea_e),</ling> <ling>keelson</ling>
<ling>(ee),</ling> <ling>belles-lettres</ling> <ling>(e_e),</ling>
<ling>heifer</ling> <ling>(ei),</ling> <ling>leopard</ling>
<ling>(eo),</ling> <ling>cheque</ling> <ling>(e_ue),</ling>
<ling>friend</ling> <ling>(ie),</ling> <ling>bury</ling>
<ling>(u),</ling> and <ling>guess</ling> <ling>(ue)</ling>. One way
people have quantified such displays is by simply counting how many
different spellings are found per phoneme. A typical figure is that
there are about twelve spellings per phoneme; or, taking the ratio,
English has a consistency of .08 (8%) (Hotson, as cited in Dewey,
1971). Such figures are of a piece with claims like that of Dewey, who
calculated that the word <ling>taken</ling> could be spelled 5,157,936
different ways: These computations take into account only the number
of different spellings per sound regardless of where it is found in
the word. The implicit psychological model of the spelling process in
such formulations is that the speller sounds out the word phoneme by
phoneme; for each phoneme recalls at random one of the possible
spellings for that phoneme; writes it down and moves on to the next
phoneme. With such a method, virtually no word would end up being
spelled correctly. The implication, therefore, is that spellers
instead have to memorize the spelling of each word as a whole
(Lindgren, 1969).</p>

<p>Hanna, Hanna, Hodges, and Rudorf (1966), in the first large-scale
computer-assisted study of English spelling, discussed a somewhat less
pessimistic model of spelling. Why would children bother to learn a
dozen spellings for each sound if applying them at random is virtually
guaranteed to be wrong? The most logical strategy would be to just
memorize for each phoneme the spelling that is used in the largest
number of words, and ignore the rest. On this model, Hanna et
al. calculated, 73% of all phonemes in text would be spelled
correctly. Of course, most words have more than one phoneme, and in
the end, most words would still be spelled incorrectly.  Nevertheless,
quite a few words would be spelled correctly (40% of the words in
text, according to Dewey, 1971), significantly reducing the
number of words that would have to be memorized whole.</p>

<p>There are, however, a number of reasons to think that even Hanna et
al.’s (1966) figure is a rather low estimate of the consistency of
English spelling, especially if our main concern is the difficulty it
imposes on children.</p>

<p><heading>Vocabulary level.</heading> Many sound-to-spelling
correspondences in English do not turn up in the vocabulary of young
children. It may be years before people really need to learn that
<phoneme>ɛ</phoneme> is spelled <ling>ee</ling> in
<ling>keelson</ling>. If we do not require our spelling model to
handle such cases, we will not have to count them as inconsistent
spellings. Therefore it is important to consider only words that
would be reasonably familiar to young children.</p>

<p><heading>Position.</heading> One supposes that Shaw was being
deliberatively provocative when he claimed (as cited, e.g., in Vachek,
1973) that <ling>ghoti</ling> would be a perfectly regular (i.e.,
rule-governed) spelling for the word <phoneme>fɪʃ</phoneme>
<ling>(fish)</ling>. But one finds this claim repeated so often that
one gets the impression that many people do not perceive the irony.
In fact, <ling>gh</ling> never spells <phoneme>f</phoneme> at the
beginning of a word; <ling>ti</ling> never spells <phoneme>ʃ</phoneme>
at the end of a word. Position is a very important factor in English
spelling, and is one that children learn readily and easily. For
example, children learn very early that double letters do not belong
in word-initial position (Treiman, 1993).</p>

<p><heading>Environment.</heading> In many cases, it is obvious that
the spelling for a particular sound can be influenced, or
<ling>conditioned,</ling> by other elements in the word. The popular
mnemonic “<ling>i</ling> before <ling>e</ling> except after
<ling>c</ling>” capitalizes on environment: It states that
<ling>ei</ling> as a spelling for <phoneme>i</phoneme> is more common
after <ling>c</ling> than after other letters. The role of
environment in spelling has not been studied very extensively,
however. Scholars such as Cummings (1988) have discussed the matter
in a qualitative way, and Venezky (1970, 1999) has done the same for
reading, but they did not give explicit measures or specifically
address children’s vocabulary.</p>

<p>Not paying attention to environment can lead to estimates of the
consistency in English spelling which are much too low. Consider, for
example, the vowel <phoneme>ɑ</phoneme> in the General American
accent. In most words, it is spelled <ling>o,</ling> as in
<ling>rock,</ling> <ling>top,</ling> <ling>pot,</ling> and so forth.
But when it is followed by the consonant <phoneme>r</phoneme> in the
same syllable, the same vowel is spelled <ling>a,</ling> as in
<ling>car,</ling> <ling>start,</ling> <ling>harp,</ling> and so forth.
If children were completely insensitive to environment, one might
think that all the dozens of words like <ling>car</ling> have to be
treated as exceptions, and perhaps memorized whole. But if children
learn one simple rule of environmental conditioning, all of those
<ling>ar</ling> spellings become completely regular.</p>

<p><heading>Common semantics.</heading> As we discussed earlier, much
of the inconsistency in sound-to-spelling rules is due to the fact
that English spelling conveys more information than just
pronunciation. Spelling becomes easier to the extent that a speller is
sensitive to those additional factors. In particular, once a child has
learned a word containing a morpheme with an irregular spelling, then
other words containing the same morpheme are usually much easier to
spell. For example, <ling>foot</ling> is arguably an inconsistent
spelling of General American <phoneme>fʊt</phoneme>: Why is it not
spelled <ling>fut,</ling> parallel to <ling>put?</ling> But once that
word is learned, <ling>footing,</ling> <ling>football,</ling>
<ling>footpath,</ling> and so forth, come almost for free. It would be
misleading to count those words when measuring total inconsistency in
the language.</p>

<p><heading>Parallel processing and statistical learning.</heading>
While the issues considered so far have to do with properties of the
spelling system itself, other important issues deal with the nature of
human learning and cognitive performance. It is, perhaps, easiest to
imagine spelling as a straightforward process where spellers do one
operation at a time, in a strictly defined sequence that is designed
to be of maximum efficiency. For example, perhaps they spell one
phoneme at a time, generating the most common spelling of each
phoneme. The whole spelling process could be followed by a visual
check, and if the word is not recognized, then the speller will
attempt to retrieve the spelling, as a whole, from memory. Under such
a model, the speller would pay attention to the spellings of
individual phonemes, but would have no reason to remember minority
spellings (such as <ling>c</ling> for initial <phoneme>s</phoneme> as
in <ling>civil</ling>) once it was confirmed that some other spelling
(<ling>s</ling>) is the most common. Nor would a speller have any
reason to pay attention to how the spelling of one sound is
conditioned by other sounds in its environment.</p>

<p>Such models are logical, efficient, and easy to describe. But it
would be rather surprising if children naturally learned to spell that
way. It would be as if a child, learning to identify animals, quickly
decided that they were most efficiently identified by their most
salient characteristic, perhaps their call, and would not bother to
learn any other properties of the animals. To identify an animal the
child would only attend to its call; if a dog refused to bark, the
child would, in this scenario, be entirely mystified as to its
identity. It would be very easy to model this animal recognition
device, and its only flaw is that it is clearly wrong. Children attend
to many different properties of the animals they learn to identify,
and on encountering a new individual, they process several different
pieces of information.  Furthermore, this processing is not done in
serial way, as in a flowchart. Rather, the various pieces of
information are processed in parallel.</p>

<p>It is reasonable to assume that a good reader and speller would
approach the English writing system in the same way. We would not
expect that children would necessarily learn and use only the most
frequent spelling for a particular pronunciation. Rather, we would
expect that they would to some extent learn all of the spellings they
encounter, although they would eventually gain some sense of the
relative frequency of the various spellings. Minority spellings can
be exploited because learning is often imperfect. When a child
encounters the word <ling>sigh,</ling> she or he may simply remember
that there was something uncommon about the spelling, or perhaps that
there was an <ling>h</ling> or some silent consonant. Coupled with
the knowledge that <ling>igh</ling> is a minority representation for
<phoneme>aɪ</phoneme>, this may be enough information to reconstruct
the correct spelling of the word.</p>

<p>Because of the problems with previous analyses of spelling consistency
and the spelling models on which they were based, we developed a new
measure of consistency. The following section describes how we
derived that measure and applied it to our own analysis of the
complexity of English spelling (Kessler &amp; Treiman, 2001), while
avoiding the pitfalls that were just discussed. In particular, far
from ignoring position and environment, our analysis will focus on the
roles they can play in facilitating children’s spelling.</p>
</section>

<section>
<heading level="1">An Analysis of English Spelling Consistency</heading>

<p><heading>Selecting the data.</heading> The problem of vocabulary
level was addressed by consulting the word list of Zeno, Ivenz,
Millard, and Duvvuri (1995), which tells how many times words appeared
in a large sample of reading material used in schools in the United
States. We selected only words for which Zeno et al. reported an
adjusted frequency value of at least 20 words per million for
kindergarten and first-grade texts. The problem of common semantics
was addressed by excluding words that share their root with some
simpler word. For example, <ling>ninth</ling> was not included in our
analysis because it is an extension of <ling>nine,</ling> which is
included. We used only one-syllable words in this study. Our primary
motivation for this restriction was simplicity. If we are to take into
consideration the issues of position and environment, the analysis is
difficult enough to carry out and to understand when we are dealing
with the various parts of a one-syllable word and their effects on
each other. It is best to first establish the methodology, and later
extend it to more complex cases. The results we report will therefore
be most appropriate to educational environments where pupils first
begin studying one-syllable words and only later attempt to spell
multiple-syllable words. After we rejected words that had multiple
syllables or shared roots and did not appear often in texts intended
for kindergartners and first-graders, we had 914 words. All of the
words were listed in their most common U.S. spelling and General
American pronunciation.</p>

<p><heading>Treatment of position and environment.</heading> There are
many different ways to divide words up in order to take position and
environment into account. At first, one might consider categorizing
sounds and letters by their absolute position in the word, e.g., the
second from the start or the third from the end. But it is not very
likely that the <ling>t</ling> in <ling>star</ling> and the
<ling>a</ling> in <ling>tank</ling> would behave similarly just
because they are both the second letter from the start. Instead, we
adopted an approach based on phonological structure, centering the
analysis about the vowel. The vowel is the nucleus of the syllable,
and the one phoneme type that is mandatory. Vowels are also
notoriously difficult to spell in English (e.g., Treiman, 1993), so
from a pragmatic point of view, it is very useful to be sure that we
treat the vowel specially. So we divided the word into three parts:
the vowel; the optional consonants that precede the vowel, called the
<ling>onset;</ling> and the optional consonants that follow the vowel,
called the <ling>coda</ling>. This division allowed us to confirm
whether the vowel is indeed the least consistent part of the
word. Further, it allowed us to ask whether environment makes the
vowel any easier to spell, and, if so, which of the two other parts of
the syllable helps the most: the onset or the coda. At the same time,
we could investigate other relationships, such as whether knowing the
vowel helps us to spell the onset or the coda.</p>

<p>After dividing the phonemes of each word into onset, vowel, and
coda, the next step was to decide which letters in the standard
spelling correspond to which of those three parts of the syllable. We
assigned all letters to one of those three parts; no letters were left
out on the grounds that they were silent. Table&nobrk;<tableref
xlink:href="parse-table"/> gives several examples of how the spellings
were divided. In many words it was not clear whether certain letters
were better analyzed as spelling the vowel or the coda; in such cases,
we assigned the letters to the vowel, e.g., <ling>c-augh-t</ling> and
<ling>t-al-k</ling>. We assigned final Silent E to the vowel or the
coda depending on its function. To be specific, when the vowel was
otherwise spelled with a single vowel letter and followed by no more
than one consonant spelled with a single letter, or by /st/, the
Silent E was assigned to the vowel. We assigned the E to the coda when
the letter before the Silent E was <ling>c,</ling> <ling>g,</ling>
<ling>s,</ling> <ling>z,</ling> <ling>u,</ling> <ling>v,</ling> or
<ling>th</ling>. An example of coda assignment is <ling>prince,</ling>
where the Silent E does not make the vowel long, but indicates that
the last <ling>c</ling> is pronounced <phoneme>s</phoneme> rather than
<phoneme>k</phoneme>.  In many words, such as <ling>prize,</ling> both
of these rules applied, and so the E was assigned both to the vowel
and to the coda.</p>

<ntable id="parse-table">
  <caption>Sample Divisions of Words by Part of Syllable</caption>
  <table>
    <col column-width="5em" text-align="left"/>
    <col column-width="5em" text-align="center"/>
    <col column-width="5em" text-align="center"/>
    <col column-width="5em" text-align="center"/>
    <thead>
      <tr> 
        <th>Word</th> 
        <th>Onset</th> 
        <th>Vowel</th> 
        <th>Rime</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <th><ling>talk</ling></th> 
        <td>t</td>
        <td>al</td>
        <td>k</td>
      </tr>
      <tr>
        <th></th> 
        <td><phoneme>t</phoneme></td>
        <td><phoneme>ɔ</phoneme></td>
        <td><phoneme>k</phoneme></td>
      </tr>
      <tr>
        <th><ling>name</ling></th> 
        <td>n</td>
        <td>a_e</td>
        <td>m</td>
      </tr>
      <tr>
        <th></th> 
        <td><phoneme>n</phoneme></td>
        <td><phoneme>e</phoneme></td>
        <td><phoneme>m</phoneme></td>
      </tr>
      <tr>
        <th><ling>taste</ling></th>
        <td>t</td>
        <td>a_e</td>
        <td>st</td>
      </tr>
      <tr>
        <th></th> 
        <td><phoneme>t</phoneme></td>
        <td><phoneme>e</phoneme></td>
        <td><phoneme>st</phoneme></td>
      </tr>
      <tr>
        <th><ling>prince</ling></th>
        <td>pr</td>
        <td>i</td>
        <td>nce</td>
      </tr>
      <tr>
        <th></th> 
        <td><phoneme>pr</phoneme></td>
        <td><phoneme>ɪ</phoneme></td>
        <td><phoneme>ns</phoneme></td>
      </tr>
      <tr>
        <th><ling>course</ling></th>
        <td>c</td>
        <td>ou</td>
        <td>rse</td>
      </tr>
      <tr>
        <th></th> 
        <td><phoneme>k</phoneme></td>
        <td><phoneme>ɔ</phoneme></td>
        <td><phoneme>rs</phoneme></td>
      </tr>
      <tr>
        <th><ling>prize</ling></th>
        <td>pr</td>
        <td>i_e</td>
        <td>ze</td>
      </tr>
      <tr>
        <th></th> 
        <td><phoneme>pr</phoneme></td>
        <td><phoneme>aɪ</phoneme></td>
        <td><phoneme>z</phoneme></td>
      </tr>
    </tbody>
  </table>
</ntable>

<p><heading>Consistency measure.</heading> Once the spellings and
pronunciations of all the words were divided into onset, vowel, and
coda, we were in a position to measure the spelling consistency of
each of those syllable positions. We started by measuring the
consistency of particular sounds in particular positions.
Table&nobrk;<tableref xlink:href="Y-table"/> gives, by way of example,
all of the words where the sound in the vowel position is
<phoneme>aɪ</phoneme>. For example, the table shows that the spelling
<ling>i_e</ling> is used in .594 of the words (41/69). We expressed
the spelling consistency of a particular vowel by taking the weighted
average of these proportions across each of its spellings. That is, we
multiplied each proportion by the number of words it accounts for;
added those products together; then divided by the total number of
words. In this case, the vowel <phoneme>aɪ</phoneme>, the result was
.398. Our consistency measure is exactly 1 when the spelling of a
sound is perfectly consistent (i.e., only one spelling), and gets
smaller the more distinct spellings there are and the more evenly
spread the frequencies of those spellings are. For example, if a sound
can be spelled two different ways and appears in 100 different words,
the measure will be .500 if the two spellings are equally frequent,
but will be .980 if one of the two spellings appears only in a single
word. This difference reflects the fact that the spelling is more
unpredictable in the former case.  The more inconsistent the spelling
is, the closer the measure approaches 0.</p>

<ntable id="Y-table">
  <caption>Data for Computing the Consistency of a Vowel 
     (<phoneme>aɪ</phoneme>)</caption>
  <table>
    <col column-width="5em"/>
    <col column-width="20em" text-align="left"/>
    <col column-width="2em" text-align="right" padding-right="3em"/>
    <col column-width="5em"/>
    <thead>
      <tr>
        <th>Spelling</th>
        <th>Words</th>
        <th>Count</th>
        <th>Proportion</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <th>i_e</th>
        <td>bike, bite, die, dime, drive, fine, fire, five, hide, ice, kite, 
          knife, lie, life, like, line, live, mice, mike, mine, nice, nine,
          pie, pile, pine, pipe, prize, quite, ride, shine, size, smile,
          tie, time, twice, while, white, wide, wife, wise, write</td>
        <td>41</td>
        <td>.594</td>
      </tr>
      <tr>
        <th>igh</th>
        <td>bright, fight, high, light, might, night, right, sight, tight</td>
        <td>9</td>
        <td>.130</td>
      </tr>
      <tr>
        <th>y</th>
        <td>by, cry, dry, fly, guy, my, sky, try, why</td>
        <td>9</td>
        <td>.130</td>
      </tr>
      <tr>
        <th>i</th>
        <td>child, climb, find, kind, mind, wild, wind</td>
        <td>7</td>
        <td>.101</td>
      </tr>
      <tr><th>uy</th><td>buy</td><td>1</td><td>.014</td></tr>
      <tr><th>eye</th><td>eye</td><td>1</td><td>.014</td></tr>
      <tr><th>ig</th><td>sign</td><td>1</td><td>.014</td></tr>
      <tr><th>SUM</th><td></td><td>69</td></tr>
    </tbody>
  </table>
</ntable>

<p>By this procedure, we obtained consistency measures for each of the
vowels. To get an overall consistency measure for vowels in general,
we took the weighted average of those consistency measures, a
procedure that counts more heavily the consistency of vowels that
appear in the largest number of words. This gave a consistency measure
of .509 for the vowels. Following the same procedure for the onsets
yielded the number .921; for the codas, .854 (Table&nobrk;<tableref
xlink:href="consistencies-table"/>, first row). If we wish to combine
the figures for the three positions, we get an overall average of
.761. That is equivalent to the complexity of a system where every
sound has two spellings, with one of those spellings being used 86% of
the time. Such numbers could be used to quantify precisely how much
the consistency of English spelling differs from that of other
languages. These measurements are clearly a good deal higher than the
extreme figures offered by some critics of English spelling, such as
the 8% given by Hotson (as cited in Dewey, 1971). Furthermore, these
numbers take into account the role of position. We now have clear
quantification of how much harder it is to spell vowels than
consonants. Moreover, we see that consonants are easier to spell in
onset position than in coda position. This ranking of consistencies
agrees with findings that children on average spell onsets better than
codas, and codas better than vowels (Treiman, Berch, &amp;
Weatherston, 1993). The implications are clear for educators who may
wish to emphasize the less frustrating tasks in the earlier stages of
learning, or to allot more time in later stages to perfect the more
difficult components of spelling.</p>

<ntable id="consistencies-table">
  <caption>Spelling Consistencies of Each Syllable Position</caption>
  <table>
    <col column-width="8em" text-align="left" padding-right="2em"/>
    <col column-width="3em" text-align="left" padding-right="2em" />
    <col column-width="3em" text-align="left" padding-right="2em" />
    <col column-width="3em" text-align="left" padding-right="2em" />
    <thead>
      <tr>
        <th>Given</th>
        <th>Onset</th>
        <th>Vowel</th>
        <th>Coda</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <th>(Unconditional)</th>
        <td>.921</td>
        <td>.509</td>
        <td>.854</td>
      </tr>
      <tr>
        <th>Onset</th>
        <td> – </td>
        <td>.721</td>
        <td>.936</td>
      </tr>
      <tr>
        <th>Vowel</th>
        <td>.958<super>*</super></td>
        <td> –</td>
        <td> .970<super>*</super></td>
      </tr>
      <tr>
        <th>Coda</th>
        <td>.930</td>
        <td>.797<super>*</super></td>
        <td> –</td>
      </tr>
    </tbody>
  </table>
  <notes-p>
    <note-p mark="*">&p; ≤ .001.</note-p>
  </notes-p>
</ntable>

<p><heading>Effects of environment.</heading> Next we addressed the
question of how the environment can help spelling. For example, when a
child attempts to spell a vowel, is the task simpler if the consonants
in the word are taken into account? If so, which consonants help more,
those of the onset or of the coda? These questions can be answered by
calculating <ling>conditional consistencies</ling>.  For example, we
might start by computing the consistency of a particular vowel, such
as <phoneme>aɪ</phoneme>, in all words that start with a particular
onset, say <phoneme>b</phoneme>: That would be the conditional
consistency of <phoneme>aɪ</phoneme>, given <phoneme>b</phoneme> as
the onset. If we do that same calculation for each of the different
vowels and take the weighted average of the answer, we get the
conditional consistency of vowels in general, given
<phoneme>b</phoneme> as the onset. Lastly, if we do that same
computation—finding the conditional consistency of vowels given a
particular onset—for all possible onsets, and take the weighted
average of all those conditional consistencies, we end up with what
can be described simply as the conditional consistency of vowels given
the onset. That figure is .721, which is a good deal higher than the
unconditional consistency of .509. We did the same sort of computation
six times: the conditional consistency of each of the three syllable
positions, given each of the other two syllable positions. The results
of these computations are presented in Table&nobrk;<tableref
xlink:href="consistencies-table"/>. The top row gives the
unconditional consistency of the syllable position named in the column
header, and subsequent rows show the consistency of that position when
it is conditioned by the position named in the row header. These data
make clear that considering the environment helps spelling, and often
by an appreciable amount. When confronted with inconsistent syllable
parts, especially the vowel, the child does not necessarily need to
fall back on memorized spellings of the entire word.</p>

<p>The fact that the conditional consistencies are all higher than the
unconditional consistencies is not very surprising. Mathematically, a
conditional consistency can never be lower than an unconditional
consistency, and there are good reasons for expecting it to be higher
in this particular task. Consider Table&nobrk;<tableref
xlink:href="Y-table"/> again. It will be noticed that
<phoneme>aɪ</phoneme> is always spelled <ling>i_e</ling> after
<phoneme>d</phoneme> (i.e., <ling>die</ling> and <ling>dime</ling>).
The conditional consistency is a perfect 1.000 after that onset. To
our knowledge, there is no inherent reason why that spelling is always
used in that environment, other than pure coincidence.  There are many
different onsets, but relatively few words containing
<phoneme>aɪ</phoneme>. Therefore it is unavoidable that some onsets
appear with some spellings in numbers quite a bit larger than the
average. This makes the conditional consistency go up, but the cause
of those elevated sound–spelling associations is pure
coincidence.</p>

<p>Are the increases in consistency that we got by considering
environment solely attributable to those kinds of coincidences? We
pursued this question in a very direct way. If the rise in vowel
consistency from .509 to .721 when the onset is considered is due to
chance, that is the same as saying that if the onsets were randomly
switched among all the words, the conditional consistency would still
typically be in the neighborhood of .721. So we did just that, mixing
the onsets randomly across all the words 10,000 times and counting how
many of those 10,000 rearrangements had a conditional consistency of
at least .721. It turned out that 35% of all the rearrangements had
such a high conditional consistency. That percentage, by definition,
is the significance value, <symbol>p,</symbol> of our test, and it is far
from attaining the .05 value generally required in psychology. Thus,
we have not proved that there is any principled reason why onsets help
predict the spelling of vowels. Similar tests showed that any
improvements between the two consonant positions–the consistency of
onsets given codas, or of codas given onsets–are also coincidental in
the same sense. In contrast, for the other three conditional
probabilities, marked with an asterisk in Table&nobrk;<tableref
xlink:href="consistencies-table"/>, random rearrangements of the
conditioning syllable position yielded consistencies that matched the
original no more than one time in a thousand. That is, the rise in
vowel consistency when one considers the coda, and the rise in
consonant consistencies (onset or coda) when one considers the vowel,
are not coincidental.</p>

<p>We should not attribute too sweeping a role to this distinction
between coincidental and noncoincidental rises in consistency. Humans
can and do learn patterns that are coincidental; perhaps at some level
some children do profit from learning some coincidental
generalizations like “<phoneme>aɪ</phoneme> is spelled
<ling>i_e</ling> after <phoneme>d</phoneme>.” What these figures do
tell us is that children stand to profit a good deal more from paying
attention to some environments than others. When spelling the onset,
accuracy can be improved significantly if the child considers the
vowel; any improvement gained from considering the coda is
coincidental and of smaller magnitude. When spelling the vowel, the
larger and more significant improvement comes from considering the
coda. When spelling the coda, the larger and more significant
improvement comes from considering the vowel.</p>

<p>Most of the improvements to be gained from considering environment
take place between the vowel and the coda. For Figure&nobrk;<figureref
xlink:href="arrows-figure"/>, we have calculated by how much the
conditional consistencies are higher than the conditional
consistencies one would expect by chance (measured as the average
conditional consistencies across all the 10,000 rearrangements). For
example, the figure shows that the vowel spelling becomes 14.3% more
predictable when the coda is taken into consideration, over and above
chance effects. It is noteworthy that influences between vowel and
coda go in both directions. In contrast, the influence between vowel
and onset is unidirectional (the onset does not help spell the vowel
above chance levels) and much smaller: The consistency of the onset
goes up only 1.2% over chance when the vowel is taken into account, as
compared to increases of from 7.5% to 14.3% between vowel and
coda. These statistics are in line with a great deal of research that
shows that the vowel and coda form a special phonological domain,
called the <ling>rime,</ling> and that the connections between
elements within that domain are much stronger than any connection
between the onset and vowel. Not only is this domain important for
linguistic descriptions of languages like English, but it is also the
case that children more readily treat the vowel and coda as a unit
than they do the onset and vowel (for a summary of such research, see
Treiman &amp; Kessler, 1995). For example, when asked to divide a
syllable in two, children find it easier to break it after the onset,
keeping the vowel and coda intact.</p>

<nfigure id="arrows-figure">
  <caption>Amount by which the phonemes
    in one syllable position raise the consistency of the spelling of
    another syllable position (that pointed to by arrow), over chance
    levels.</caption>
  <svg:svg width="480" height="150">
    <svg:defs>
      <svg:ellipse id="OVC" cx="42" cy="75" rx="42" ry="15" fill="#ffffff"
        stroke="black" stroke-width="0.3"/>
      <!--svg:rect id="OVC" x="0" y="60" width="85" height="30" fill="#ffffff"
        stroke="black" stroke-width="0.3"/-->
    </svg:defs>
    <svg:use xlink:href="#OVC" transform="translate(0,0)"/>
    <svg:text font-family="Times" font-size="12pt" fill="black"
      x="23" y="79">Onset</svg:text>
    <svg:rect x="150" y="0" width="330" height="150" fill="#ffffff"
      stroke="black" stroke-width="0.3"/>
    <svg:use xlink:href="#OVC" transform="translate(180,0)"/>
    <svg:text font-family="Times" font-size="12pt" fill="black"
      x="205" y="79">Vowel</svg:text>
    <svg:text font-family="Times" font-size="10pt" fill="black"
      x="105" y="100">1.2%</svg:text>
    <svg:line x1="90" y1="85" x2="175" y2="85" 
      stroke="black" stroke-width="0.1"/>
    <svg:polygon stroke="black" stroke-width="0.1" fill="black"
      points="90,85 95,83 95,87"/>
    <svg:use xlink:href="#OVC" transform="translate(360,0)"/>
    <svg:text font-family="Times" font-size="12pt" fill="black"
      x="386" y="79">Coda</svg:text>
    <svg:text font-family="Times" font-size="10pt" fill="black"
      x="305" y="55">7.5%</svg:text>
    <svg:line x1="270" y1="65" x2="355" y2="65" 
      stroke="black" stroke-width="0.6"/>
    <svg:polygon stroke="black" stroke-width="0.1" fill="black"
      points="355,65 350,63 350,67"/>
    <svg:text font-family="Times" font-size="10pt" fill="black"
      x="300" y="100">14.3%</svg:text>
    <svg:line x1="270" y1="85" x2="355" y2="85" 
      stroke="black" stroke-width="1.2"/>
    <svg:polygon stroke="black" stroke-width="0.1" fill="black"
      points="270,85 275,83 275,87"/>
    <svg:text font-family="Times" font-size="14pt" fill="black"
      x="295" y="140">Rime</svg:text>
  </svg:svg>
</nfigure>

<p>These findings suggest that a strong emphasis should be put on
rimes when teaching spelling. Not only are children inherently more
capable of dealing with rimes as a unit, but that is precisely the
most profitable strategy when spelling English words. It may be
helpful to generally present spelling words in groups like
<ling>child,</ling> <ling>wild,</ling> <ling>mild</ling>
vs. <ling>side,</ling> <ling>ride,</ling> <ling>hide</ling>. Not only
would that approach be most likely to turn up statistically important
patterns in specific cases (as in this example), but children would
also profit just from internalizing the strategy of considering riming
words when learning and recalling spellings. To a lesser extent, the
findings also suggest that onsets that have multiple spellings, such
as <phoneme>k</phoneme>, may sometimes be best taught in sets of words
that are arranged by the following vowel (e.g., <ling>can,</ling>
<ling>cat,</ling> <ling>catch</ling> vs. <ling>kid,</ling>
<ling>kiss,</ling> <ling>kit</ling>). To be sure, children need to be
prepared for the fact that several patterns have exceptions; not all
rimes, for example, are spelled identically in all words (e.g.,
<ling>right</ling> vs. <ling>white</ling>). But children can still
make use of patterns, even if they have exceptions. In any event, the
number of exceptions is lower than would be encountered if children
considered only single phonemes individually without regard for
environment.</p>

<p><heading>Specific environment patterns.</heading> Up to this point
we have been discussing patterns between onsets, vowels, and codas in
the abstract. In addition to those general tests, we also used
statistical tests to determine which individual sounds are
significantly more consistent when environment is considered. We ran
these tests for the three greater-than-chance relations found in
Figure&nobrk;<figureref xlink:href="arrows-figure"/>: We asked
which onsets are helped by which vowels, which vowels are helped by
which codas, and which codas are helped by which vowels.</p>

<p>Turning our attention first to the rime, where the biggest effects
are located, we found that 4 coda types are improved by
considering the vowel, using the cutoff of .05 for statistical
significance. When <phoneme>l</phoneme> or <phoneme>s</phoneme> is
alone in the coda, it tends to be spelled with a double letter when
the vowel is <phoneme>æ</phoneme> <ling>(shall, class),</ling>
<phoneme>ɑ</phoneme> <ling>(doll),</ling> <phoneme>ʌ</phoneme>
<ling>(dull, fuss),</ling> <phoneme>ɛ</phoneme> <ling>(bell,
dress),</ling> <phoneme>ɪ</phoneme> <ling>(fill, kiss),</ling>
<phoneme>ɔ</phoneme> <ling>(ball, boss),</ling> or
<phoneme>ʊ</phoneme> <ling>(pull),</ling> but with a single consonant
letter after other vowels (e.g., <ling>jail, goose</ling>). The coda
<ling>k</ling> shows an alternation between <ling>ck</ling> after
<phoneme>æ</phoneme> <ling>(back),</ling> <phoneme>ɑ</phoneme>
<ling>(block),</ling> <phoneme>ʌ</phoneme> <ling>(duck),</ling>
 <phoneme>ɛ</phoneme> <ling>(neck),</ling> and <phoneme>ɪ</phoneme>
<ling>(chick),</ling> versus a single <ling>k</ling> elsewhere (e.g.,
<ling>cake, walk</ling>). What these patterns all have in common is
that they use two consonant letters when the vowel is spelled with a
single letter, and a shorter spelling when the vowel is spelled with
more than one letter, counting Final E in the tally. The fourth coda,
<phoneme>z</phoneme>, also has a special spelling <ling>(s)</ling>
after the same set of vowels that condition <ling>ll, ss,</ling> and
<ling>ck</ling> (e.g., <ling>as, is, was</ling>).</p>

<p>Figure&nobrk;<figureref xlink:href="arrows-figure"/> shows that the
reverse influence, that of codas on vowel spelling, is stronger than
that of vowels on coda spelling.  Correspondingly, we found that there
are many vowels that can be spelled significantly more accurately when
the coda is considered: 13 of the 15 vowel types. 
Table&nobrk;<tableref xlink:href="vowel-spellings"/> lists most
of them, along with the spellings that become significantly more
common when the vowel is followed by certain codas. For example, when
the vowel <phoneme>aɪ</phoneme> appears before the coda
<phoneme>t</phoneme>, the spelling <ling>igh</ling> becomes much more
frequent than it is when not before <phoneme>t</phoneme>. This table
corroborates the general finding that codas strongly help predict
vowel spelling.  Moreover, it shows that the patterning is very
pervasive, and gives an idea of what patterns may be most helpful to
emphasize in guiding beginning spellers and those who have experienced
difficulties.</p>

<ntable id="vowel-spellings">
  <caption>Vowel Spellings Conditioned by Codas</caption>
  <table>
    <col column-width="5em" text-align="left"/>
    <col column-width="5em" text-align="left" padding-right="2em"/>
    <col column-width="3em" text-align="left" padding-right="2em"/>
    <col column-width="21em" text-align="left"/>
    <thead>
      <tr>
        <th>Vowel</th>
        <th>Coda</th>
        <th>Spelling</th>
        <th>Examples</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><phoneme>aɪ</phoneme></td>
        <td>General</td>
        <td><ling>i_e</ling></td>
        <td><ling>like, time, side, nice, tie, lie, pie</ling></td>
      </tr>
      <tr>
        <td></td>
        <td>None</td>
        <td><ling>y</ling></td>
        <td><ling>my, why, by, sky, fly, try, cry, dry</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>ld</phoneme></td>
        <td><ling>i</ling></td>
        <td><ling>child, wild</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>nd</phoneme></td>
        <td><ling>i</ling></td>
        <td><ling>find, mind, kind</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>t</phoneme></td>
        <td><ling>igh</ling></td>
        <td><ling>right, night, light, might, bright, fight, tight, sight</ling></td>
      </tr>
      <tr>
        <td><phoneme>aʊ</phoneme></td>
        <td>General</td>
        <td><ling>ou</ling></td>
        <td><ling>out, house, mouth, south, shout</ling></td>
      </tr>
      <tr>
        <td></td>
        <td>None</td>
        <td><ling>ow</ling></td>
        <td><ling>now, how, cow</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>n</phoneme></td>
        <td><ling>ow</ling></td>
        <td><ling>down, brown, town, clown</ling></td>
      </tr>
      <tr>
        <td><phoneme>ɑ</phoneme></td>
        <td>General</td>
        <td><ling>o</ling></td>
        <td><ling>not, got, stop, box, hot, lot, top, job, shop, rock</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>r</phoneme> ± consonant</td>
        <td><ling>a</ling></td>
        <td><ling>car, far, jar, bar,
hard, dark, mark, park, start, part, arm,
  farm, yard, smart, large, start, bark, card</ling></td>
      </tr>
      <tr>
        <td><phoneme>ʌ</phoneme></td>
        <td>General</td>
        <td><ling>u</ling></td>
        <td><ling>but, up, us, must, run, much, fun, sun, lunch, jump</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>m</phoneme></td>
        <td><ling>o_e</ling></td>
        <td><ling>some, come</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>v</phoneme></td>
        <td><ling>o_e</ling></td>
        <td><ling>love, dove</ling></td>
      </tr>
      <tr>
        <td><phoneme>e</phoneme></td>
        <td>General</td>
        <td><ling>a_e</ling></td>
        <td><ling>came, make, take, made, name, gave, same, face</ling></td>
      </tr>
      <tr>
        <td></td>
        <td>None</td>
        <td><ling>ay</ling></td>
        <td><ling>day, way, play, say, may, stay, pay, gray, lay, ray</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>l</phoneme></td>
        <td><ling>ai</ling></td>
        <td><ling>tail, mail, sail, pail, trail, nail, jail</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>n</phoneme></td>
        <td><ling>ai</ling></td>
        <td><ling>rain, train, pain, main</ling></td>
      </tr>
      <tr>
        <td><phoneme>ɛ</phoneme></td>
        <td>General</td>
        <td><ling>e</ling></td>
        <td><ling>then, get, went, when, them, help, tell, well, yes</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>d</phoneme></td>
        <td><ling>ea</ling></td>
        <td><ling>head, bread, dead, thread</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>r</phoneme></td>
        <td><ling>a_e</ling></td>
        <td><ling>care, share, scare</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>r</phoneme></td>
        <td><ling>ai</ling></td>
        <td><ling>air, hair, fair, chair, pair</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>r</phoneme></td>
        <td><ling>e_e</ling></td>
        <td><ling>there, where</ling></td>
      </tr>
      <tr>
        <td><phoneme>i</phoneme></td>
        <td>General</td>
        <td><ling>ea</ling></td>
        <td><ling>eat, each, mean, please, clean, leave, seat,
  cream</ling></td>
      </tr>
      <tr>
        <td></td>
        <td>None</td>
        <td><ling>e</ling></td>
        <td><ling>he, she, we, me, be</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>d</phoneme></td>
        <td><ling>ee</ling></td>
        <td><ling>need, feed, speed, weed</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>p</phoneme></td>
        <td><ling>ee</ling></td>
        <td><ling>keep, sleep, sheep, deep</ling></td>
      </tr>
      <tr>
        <td><phoneme>ɪ</phoneme></td>
        <td>General</td>
        <td><ling>i</ling></td>
        <td><ling>it, in, is, his, will, with, this, did, big, him,
  if, fish</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>r</phoneme></td>
        <td><ling>ea</ling></td>
        <td><ling>hear, near, year, dear, ear</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>v</phoneme></td>
        <td><ling>i_e</ling></td>
        <td><ling>give, live</ling></td>
      </tr>
      <tr>
        <td><phoneme>o</phoneme></td>
        <td>General</td>
        <td><ling>o_e</ling></td>
        <td><ling>home, those, hole, close, nose, hope, rope, note</ling></td>
      </tr>
      <tr>
        <td></td>
        <td>None</td>
        <td><ling>ough</ling></td>
        <td><ling>though, dough</ling></td>
      </tr>
      <tr>
        <td></td>
        <td>None</td>
        <td><ling>ow</ling></td>
        <td><ling>show, grow, snow, blow, slow, throw, low, crow</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>d</phoneme></td>
        <td><ling>oa</ling></td>
        <td><ling>toad, road</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>ld</phoneme></td>
        <td><ling>o</ling></td>
        <td><ling>old, told, cold, hold, gold, sold, fold</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>st</phoneme></td>
        <td><ling>o</ling></td>
        <td><ling>most, ghost</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>t</phoneme></td>
        <td><ling>oa</ling></td>
        <td><ling>boat, coat, goat</ling></td>
      </tr>
      <tr>
        <td><phoneme>ɔ</phoneme></td>
        <td>General</td>
        <td><ling>o</ling></td>
        <td><ling>dog, long, off, lost, wrong, strong, boss, soft,
  cloth</ling></td>
      </tr>
      <tr>
        <td></td>
        <td>None</td>
        <td> <ling>aw</ling></td>
        <td><ling>saw, draw, straw, paw</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>k</phoneme></td>
        <td><ling>al</ling></td>
        <td><ling>walk, talk</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>l</phoneme></td>
        <td><ling>a</ling></td>
        <td><ling>all, ball, small, call, fall, tall, hall, wall</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>r</phoneme></td>
        <td><ling>o_e</ling></td>
        <td><ling>more, store, shore, wore</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>r</phoneme></td>
        <td><ling>oo</ling></td>
        <td><ling>floor, door</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>t</phoneme></td>
        <td><ling>ough</ling></td>
        <td><ling>thought, brought, bought</ling></td>
      </tr>
      <tr>
        <td><phoneme>u</phoneme></td>
        <td>General</td>
        <td><ling>oo</ling></td>
        <td><ling>school, room, soon, food, moon, pool, tooth, cool</ling></td>
      </tr>
      <tr>
        <td></td>
        <td>None</td>
        <td><ling>ew</ling></td>
        <td><ling>new, few, blew, grew, flew, threw, drew</ling></td>
      </tr>
      <tr>
        <td></td>
        <td>None</td>
        <td><ling>o</ling></td>
        <td><ling>to, do, who</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>p</phoneme></td>
        <td><ling>ou</ling></td>
        <td><ling>soup, group</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>t</phoneme></td>
        <td><ling>ui</ling></td>
        <td><ling>suit, fruit</ling></td>
      </tr>
      <tr>
        <td><phoneme>ʊ</phoneme></td>
        <td>General</td>
        <td><ling>oo</ling></td>
        <td><ling>look, took, cook, foot, shook, poor, book, hook</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>d</phoneme></td>
        <td><ling>oul</ling></td>
        <td><ling>would, should, could</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>l</phoneme></td>
        <td><ling>u</ling></td>
        <td><ling>pull, full, bull</ling></td>
      </tr>
      <tr>
        <td></td>
        <td><phoneme>ʃ</phoneme></td>
        <td><ling>u</ling></td>
        <td><ling>push, bush</ling></td>
      </tr>
    </tbody>
  </table>
  <note-general>“General” coda environments are those other than
    the ones listed. Examples are in descending frequency in child
    vocabulary.</note-general>
</ntable>

<p>Finally, turning our attention to the rather small influence that
crosses the onset–rime boundary (the 1.2% above-chance influence of
the vowel on the onset spelling), it is not surprising that only one
phoneme is improved significantly: <phoneme>k</phoneme> is
significantly more likely to be spelled <ling>k,</ling> as opposed to
<ling>c,</ling> before the vowels <phoneme>i</phoneme>
(<ling>keep,</ling> <ling>key</ling>), <phoneme>ɪ</phoneme>
(<ling>kick,</ling> <ling>kill</ling>), and <phoneme>aɪ</phoneme>
(<ling>kind,</ling> <ling>kite</ling>). (An even more useful version
of this pattern is that <phoneme>k</phoneme> is spelled <ling>k</ling>
before the letters <ling>e</ling> and <ling>i,</ling> but we did not
specifically study the effects of spelling on spelling; it may be
difficult for children to learn to take into account the effects of
letters that they have not yet written down.)  There are, to be sure,
other instances where the vowel conditions the onset spelling in
English, but none of them are very prominent in the child vocabulary
we have considered. It may be better for children to concentrate on
learning patterns that they will see reinforced repeatedly in their
reading and writing, such as this effect of the vowel on the spelling
of <phoneme>k</phoneme>, than on patterns that will not become
particularly salient until they are older. It may seem disappointing
that environment is of relatively small help in spelling onsets, but
it should be kept in mind that onsets are already highly consistent
and easy to spell. It is precisely where help is most needed–in
spelling the less consistent codas and especially the vowels–that
environment is most helpful.</p>

<p>One might fear that the patterns identified in the written
vocabulary of young children would be peculiar to that vocabulary and
no longer apply when more words are learned. Fortunately, it turns out that
virtually all of the patterns hold for adult vocabulary as well
(Kessler &amp; Treiman, 2001). Therefore if a child learns patterns
such as “<ling>igh</ling> before <phoneme>t</phoneme>”, whether
explicitly or implicitly by seeing lists such as <ling>night,</ling>
<ling>light,</ling> <ling>right,</ling> etc., that should not only
help with current vocabulary but also serve the child for life.</p>

<p>We might note in passing that our conclusions apply in broad
measure to reading as well as to spelling. Reading is more consistent
than spelling, and some of the details vary because consistency is not
symmetrical. For example, the spelling of the onset sound
<phoneme>f</phoneme> is not completely consistent because sometimes it
is spelled <ling>f</ling> and sometimes <ling>ph</ling>; but the
readings of the onset letters <ling>f</ling> and <ling>ph</ling> are
completely consistent, because both are always pronounced
<phoneme>f</phoneme>. Despite these differences, it turns out that,
as in spelling, some syllable positions become significantly more
consistent when environment is taken into account, and the strongest
effects are within the rime. Details can be found in such works as
Kessler and Treiman (2001) and Stanback (1992).</p>

<p>Our discussion to this point has been motivated by general learning
theory. Humans are pattern learners, and so it makes sense that they
might pick up on the sort of patterns we have described. But is there
any direct evidence that they do so? Treiman, Kessler, and Bick (2002)
tested whether college students are sensitive to onset and coda
environments when spelling vowels. They asked the students to spell
nonsense words such as <phoneme>glaɪt</phoneme> and
<phoneme>glaɪb</phoneme>. If spellers were not sensitive to
environment, they would spell <phoneme>aɪ</phoneme> the same way in
both words. But in fact, they use the <ling>igh</ling> spelling more
often when spelling nonsense words like <phoneme>glaɪt</phoneme>,
which end in <phoneme>t</phoneme>, than when spelling nonsense words
that end in other consonants, as does <phoneme>glaɪb</phoneme>. This
demonstrates that adult spellers do not blindly spell phoneme by
phoneme, but that they take into account how environment affects
spelling: As Table&nobrk;<tableref xlink:href="vowel-spellings"/>
shows (row 5), the coda <phoneme>t</phoneme> is a strong conditioner
of the spelling <ling>igh</ling> for the vowel <phoneme>aɪ</phoneme>.
Another experiment showed that when college students misspell words,
the errors tend in the direction of overgeneralizing these regular
patterns. For example, spellers mistakenly used the vowel spelling
<ling>ea</ling> in words like <ling>shred</ling> more often than they
did in words like <ling>fleck,</ling> showing sensitivity to the
pattern that <ling>ea</ling> is an especially common spelling of
<phoneme>ɛ</phoneme> when the coda is <phoneme>d</phoneme>. These
effects were stronger among better spellers. One interpretation of
this finding is that better spellers are more sensitive to
environmental patterns than are poorer spellers. At this point it is
premature to say that cause and effect have been conclusively
demonstrated, and we are still in the process of performing similar
studies on young children. But it is not too much of a stretch to
infer that poor spellers may be given a leg up by calling their
attention to environmentally conditioned spelling patterns.</p>
</section>

<section>
<heading level="1">Conclusion</heading>

<p>English is not Finnish. Its spelling system requires years of
study to master, and many pupils find it frustrating. But the
widespread belief that it is chaotic and unprincipled arises from a
misconception that its only goal is to express the sounds of the
speaker’s accent. Once we understand its additional goals, whether or
not we personally agree with them, it is easier to see that English
generally follows them in a principled way. And even if we do
restrict our purview to sound–letter correspondences, common
misconceptions about their degree of inconsistency can be overcome by
using measures that do not assign undue importance to rare spellings,
and by considering the effects of position and environment. The
knowledge that English is more principled and consistent than commonly
believed should help in teaching spelling to normally developing
children as well as to those who find spelling problematic.</p>
</section>
</text>


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<author-note>

<p>Brett Kessler and Rebecca Treiman, Department of
Psychology, Washington University in St. Louis.</p>  

<p>This work was supported by National Science Foundation Grants
SBR-9807736 and BCS-0130763. Correspondence concerning this article
should be addressed to Brett Kessler, Psychology Department,
Washington University in St. Louis, Campus Box 1125, One Brookings
Drive, St. Louis MO 63130-4899, USA. Email: <email
xlink:href="mailto:bkessler@BrettKessler.com">
bkessler@BrettKessler.com.</email>
</p>

</author-note>

</APA>