Read Writ (2012) 25:1195–1216
DOI 10.1007/s11145-011-9313-z
Contribution of morphological awareness and lexical
inferencing ability to L2 vocabulary knowledge
and reading comprehension among advanced EFL
learners: testing direct and indirect effects
Dongbo Zhang · Keiko Koda
Published online: 22 April 2011
© Springer Science+Business Media B.V. 2011
Abstract Within the Structural Equation Modeling framework, this study tested
the direct and indirect effects of morphological awareness and lexical inferencing
ability on L2 vocabulary knowledge and reading comprehension among advanced
Chinese EFL readers in a university in China. Using both regular z-test and the
bootstrapping (data-based resampling) methods, the study found that morphological
awareness contributed to L2 vocabulary knowledge directly and indirectly through
the mediation of learners’ lexical inferencing ability. It was also observed that
morphological awareness made no significant unique or direct contribution to
reading comprehension after adjusting for vocabulary knowledge; its indirect effects
on reading comprehension, however, were significant, both through the mediation of
vocabulary knowledge alone, and the multiple mediations of lexical inferencing
ability and vocabulary knowledge.
Keywords Morphological awareness · Vocabulary knowledge ·
Reading comprehension · English as a Foreign Language
Introduction
Studies on literacy acquisition have recently showed that morphological awareness is a significant contributor to both vocabulary knowledge and reading
D. Zhang (&)
Center for Research in Pedagogy and Practice, National Institute of Education,
Nanyang Technological University, 1 Nanyang Walk, Singapore 637616, Singapore
e-mail: dongbo.zhang@nie.edu.sg
K. Koda
Department of Modern Languages, Carnegie Mellon University,
Baker Hall 160, 5000 Forbes Avenue, Pittsburgh, PA 15213, USA
e-mail: kkoda@andrew.cmu.edu
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comprehension ability (e.g., Carlisle, 2000; Ku & Anderson, 2003; McBride-Chang
et al., 2008; Nagy, Berninger, & Abbot, 2006). However, most of such research has
focused on monolingual children, with limited attention given to second language
(L2) reading, particularly among adult L2 learners. More importantly, the
relationship of morphological awareness to vocabulary knowledge and reading
comprehension in the current literature is far from clear. While first language (L1)
reading research has largely confirmed direct effects of morphological awareness on
these two competencies, logic suggests that the contribution of morphological
awareness could also be indirect. Effects of morphological awareness on vocabulary
knowledge could be partially mediated by learners’ skill to make inference about
meanings of unknown words. Additionally, there is the possibility that contribution
of morphological awareness to reading comprehension could be mediated by
vocabulary knowledge, given the close relationship between these latter two
constructs.
Due to the methods used in previous studies, mostly bivariate correlation and
hierarchical regression, these indirect effects of morphological awareness have not
been well documented in the literature. Therefore, in this study, within the
Structural Equation Modeling (SEM) framework, we tested both direct and indirect
effects of morphological awareness on L2 vocabulary knowledge and reading
comprehension by focusing on a group of Chinese English as a Foreign Language
(EFL) readers pursuing their graduate study in a Chinese university.
Morphological awareness, vocabulary knowledge, and reading comprehension
Morphological awareness is the ability to reflect upon and manipulate morphemes
and morphological structure of words (Carlisle, 2003; Kuo & Anderson, 2006).
Because the majority of words monolingual children encounter in print school
materials are multimorphemic words that are semantically transparent (Nagy &
Anderson, 1984), morphological awareness has often been found to be a significant
contributor to word learning and vocabulary knowledge development (e.g., Anglin,
1993; Carlisle, 2000; McBride-Chang et al., 2008; Wysocki & Jenkins, 1987).
Anglin (1993) reported that from Grade 1 to 5, the number of derived words learned
by English-speaking monolinguals (about 14,000) was more than three times as
much as the number of root words (about 4,000) known by the same group of
children. Wysocki and Jenkins (1987) found that English-speaking children’s use of
morphological information facilitated their learning of new words, as they learned
new words that were derivationally related to the words for which they had received
prior training significantly better than control words. Carlisle (2000) also reported
that derivational morphological awareness accounted for a large amount of variance
in vocabulary knowledge among English-speaking third and fifth graders, suggesting
strong contribution of morphological awareness to vocabulary knowledge growth. In
a longitudinal study, McBride-Chang et al. (2008) tracked the development of
morphological awareness and vocabulary knowledge in Chinese- and Koreanspeaking preschoolers. It was found that across language groups, children’s Time 1
compound awareness significantly predicted their vocabulary knowledge at Time 2,
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even when Time 1 vocabulary knowledge, phonological processing skills, and other
related skills were controlled for.
In addition to its importance to word learning and vocabulary knowledge
acquisition, morphological awareness has also been found to be a significant
contributor to reading comprehension (e.g., Carlisle, 2000; Deacon & Kirby, 2004;
Ku & Anderson, 2003; Nagy et al., 2006). Deacon and Kirby (2004), for example,
found that English-speaking children’s morphological awareness in Grade 2
significantly predicted their reading comprehension in Grades 3, 4, and 5, even after
controlling for the influences of general intelligence, Grade 2 reading comprehension, and phonological awareness. The relationship of morphological awareness to
reading comprehension becomes complex when the contribution of vocabulary
knowledge to reading comprehension, widely documented in various studies in the
past decades (see Nagy, 2005), is taken into consideration. Because of the interrelations between morphological awareness and vocabulary knowledge on one
hand, and vocabulary knowledge and reading comprehension on the other hand, L1
reading researchers have been interested in whether morphological awareness could
contribute uniquely or directly to reading comprehension over and above
vocabulary knowledge. Ku and Anderson (2003), for example, showed that, after
vocabulary knowledge was controlled for, morphological awareness explained a
significant proportion of variance of reading comprehension, and this pattern was
consistent among Grades 2, 4, and 6 English- and Chinese-speaking children. In
their study on child and adolescent English readers, Nagy et al. (2006), by use of the
SEM method, examined the relative contribution of morphological awareness and
vocabulary knowledge to reading comprehension. It was found that morphological
awareness, while contributing significantly to vocabulary knowledge, also predicted
reading comprehension when the effect of vocabulary knowledge was partialed out.
In addition, vocabulary knowledge also significantly predicted reading comprehension after accounting for the effect of morphological awareness. Thus,
morphological awareness and vocabulary knowledge made independent contributions to reading comprehension, or their individual direct effect on reading
comprehension was significant. However, that study did not address whether
morphological awareness, given its close relationship with vocabulary knowledge,
also contributes to reading comprehension indirectly through the mediation of
vocabulary knowledge.
It should be noted that evidence for the contribution of morphological awareness
to vocabulary growth and reading development comes predominantly from L1
studies on monolingual children, particularly English-speaking children. Very
limited research has so far been conducted in this field of inquiry on L2 learners
with morphological awareness as a construct of central interest. However, the small
number of studies on English L2 learners does provide some insights into the issues,
and sheds some lights on the relationship of morphological skills to vocabulary
knowledge and reading comprehension (e.g., Kieffer & Lesaux, 2008; Mochizuki &
Aizawa, 2000; Qian, 1999; Schmitt & Meara, 1997; Wang, Cheng, & Chen, 2006;
Wang, Ko, & Choi, 2009).
In their study on order of English affix acquisition, Mochizuki and Aizawa
(2000) found that Japanese high-school and university EFL learners’ knowledge of
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English prefixes and suffixes was significantly positively correlated with their
vocabulary size. Also focusing on Japanese EFL learners, Schmitt and Meara (1997)
reported positive correlations between learners’ knowledge of English derivational
affixes and word association ability (i.e., the ability to find related words for prompt
verbs, such as refuse and accept for deny). Studies also revealed that word
morphology is an important knowledge source that adult EFL learners use to make
informed guesses about meanings of unknown words during textual reading (e.g.,
Paribakht & Wesche, 1999). All these research findings point to the importance of
morphological knowledge in word learning and vocabulary development among
English L2 learners.
Few studies have examined issues related to the contribution of morphological
awareness to reading comprehension among English L2 readers with learners’
vocabulary knowledge also considered. Kieffer and Lesaux (2008) tracked the
development of the three competencies and other reading-related skills among a
group of Spanish-speaking English as a Second Language (ESL) readers from Grade
4 to 5 in the United States. Hierarchical regression analysis showed that there was
significant independent contribution of learners’ morphological awareness and
vocabulary knowledge to reading comprehension in Grade 5. Similarly, Wang and
associates (Wang et al., 2006, 2009) found Chinese and Korean immigrant
children’s ESL morphological awareness significantly predicted their English
reading comprehension, after the effects of English oral vocabulary knowledge as
well as phonemic awareness were accounted for. However, Qian’s (1999) study did
not reveal a unique contribution of morphological knowledge to reading comprehension over and above vocabulary knowledge among Chinese and Korean ESL
readers in Canadian universities. Overall, a comprehensive picture is hard to obtain
from the existing body of research about the contribution of morphological
awareness to L2 vocabulary knowledge and reading comprehension. Further studies
are needed to model the complex relations between these variables within an
integrated framework.
Lexical inferencing, word learning, and textual comprehension
Lexical inferencing means “making informed guesses as to the meaning of a word,
in light of all available linguistic cues in combination with the learner’s general
knowledge of the world, her awareness of context and her relevant linguistic
knowledge” (Haastrup, 1991, p. 40). Thus, in addition to contextual clues, learners’
ability to use “linguistic cues” or morphological information in words also serves a
foundation for successful inference of meaning. Anglin (1993, p. 5) called this
process of learning new word as “morphological problem-solving.” That is, children
use their morphological knowledge to decompose complex words into their
morphemic constituents and infer meaning of novel vocabulary items based on the
meanings of these constituents. Because the focus of the present study was on
morphological processes, we chose to look only at morphology-based lexical
inferencing ability. In other words, lexical inferencing ability was operationally
defined in the present study as learners’ ability to infer meanings of unknown
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multimorphemic words by drawing upon intra-word morphological cues. While
contextual guessing has also been confirmed in previous research as critical to
lexical inferencing, it was not considered in the present study.
Previously, various studies on L2 reading have revealed the importance of
morphology-based lexical inferencing in word learning and vocabulary knowledge
development. Gu and Johnson (1996) found that Chinese college EFL readers’
rating on their use of the strategy of paying attention to word formation was
significantly and positively correlated with their vocabulary size. In Qian’s (2004)
study, Korean and Chinese ESL readers in Canadian universities reported that they
often used intra-word clues, in addition to contextual guessing, when they dealt with
unknown words while reading. Paribakht and Wesche’s (1999) introspective study
also found word morphology to be one of the most frequent knowledge sources
learners used in performing lexical inferencing to unlock meanings of new words.
Given its importance to instantaneous resolution of vocabulary gaps during
reading or “on the spot vocabulary learning” (Nagy, 2007, p. 64), lexical
inferencing, while contributing to word learning, should also enhance textual
comprehension. However, current literature has not yet produced a clear picture on
the relationship of lexical inferencing skill to reading comprehension ability. To
begin with, lexical inferencing ability as defined in the present study was often
measured as a particular facet of morphological awareness in previous research
where the relationship between morphological awareness and reading comprehension was examined (e.g., Ku & Anderson, 2003), possibly due to different interests
of researchers. Because this ability was often calculated with other morphological
skills to produce a holistic score to index morphological awareness (e.g., factor
scores in Ku & Anderson, 2003), its relationship with those morphological skills,
and, more importantly, its specific contribution to reading comprehension have not
been known. So far, there has been very little, if any, empirical research that has
directly tested the relationship of lexical inferencing ability to reading comprehension, particularly when morphological awareness and vocabulary knowledge were
also considered as separate variables. Consequently, it remains unclear whether
lexical inferencing skill would contribute directly or uniquely to reading comprehension, and whether there would also exist any indirect influence of lexical
inferencing on reading comprehension through the mediation of vocabulary
knowledge, given the contribution of lexical inferencing to vocabulary development
on one hand, and that of vocabulary knowledge to reading comprehension on the
other hand. In order to have a clear understanding of the relationship between
morphological awareness, lexical inferencing skill, vocabulary knowledge, and
reading comprehension, these direct and indirect effects have to be disentangled.
The present study
The above review of the literature suggests that how morphological awareness
contributes to vocabulary knowledge, and subsequently, reading comprehension, is
far from clear. While previous studies have provided some insights into this issue, a
few important questions are yet to be answered. First, previous research has been
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largely focused on monolingual children, and in the few cases where English L2
learners were involved, findings are sometimes are mixed. To better understand how
morphological awareness functions in vocabulary knowledge and reading development, further studies on L2 learners are thus necessitated, particularly with the
intermediate processes (e.g., lexical inferencing ability) considered. Second, because
of its reliance on bivariate correlations and conventional regression analyses,
previous research has not well explored the intermediate processes, and the evidence
that supports the direct as well as indirect effects of morphological awareness is by
no means conclusive.
Therefore, focusing on adult EFL learners in China, and with the use of the SEM
as well as the data-based resampling methods, this study aimed to unpack the
complex relationship of morphological awareness and lexical inferencing to L2
vocabulary knowledge and reading comprehension. Specifically, the study aimed to
address the following two questions:
1.
2.
Do Chinese university EFL learners’ morphological awareness and lexical
inferencing ability have independent or direct effect on vocabulary knowledge?
Does lexical inferencing mediate the effect of morphological awareness on
vocabulary knowledge?
Do learners’ morphological awareness, lexical inferencing ability, and vocabulary knowledge directly contribute to their reading comprehension, adjusting
for the effects of any two of these variables? Are there any significant indirect
effects of morphological awareness on reading comprehension through the
mediation of learners’ vocabulary knowledge and/or lexical inferencing ability?
Method
Participants
Participants were 130 adult EFL learners working on their engineering master’s
degrees in a university in Shanghai, China. They consisted of 33 females and 97
males, with an average age of 23.85 (SD = 1.19), from four Comprehensive English
classes. Forty-two of them had passed Band 4 of the College English Test, and 88
had passed both Band 4 and Band 6 of the test (see Jin & Yang, 2006 for
information about this English proficiency test widely administered to college
students in China). All participants had also passed The Graduate School Entrance
English Examination (He, 2010), and were taking the Comprehensive English
course to fulfill the foreign language requirement for the first semester of their
graduate study. Each week they met with their teachers in classroom for three 1.5-h
sessions to develop their reading and writing as well as oral communication skills.
Most of the participants started formal EFL learning from Grade 7 (N = 109),
with a small number from a mixture of grades (four from Grade 3, three from Grade
4, 11 from Grade 5, and three from Grade 6). At the time of data collection, those
who started English learning from Grade 7 had received about 8 years of formal
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EFL instruction. The participants’ average year of formal EFL education was
roughly 8.88 (SD = .96).
Instruments
Morphological awareness
Morphological awareness in this study was defined as the ability to analyze
multimorphemic English words appropriately into their morphological units and
correctly identify the root on which the meaning of each target word was based. To
measure this competence, a task with 30 test items and two practice items was
constructed. All the target words were derivatives, each of which was followed by
three meaningful words with strings of letters being part of the target word (with
minor difference of one or two letters in a few test items). For example, a target
derivational word reforestation was followed by three words station, forest, and
rest. To display their morphological awareness, learners should choose forest as the
correct answer.
Some considerations were taken to increase the validity of the test. Because the
test aimed to measure morphological awareness rather than learners’ existing
knowledge of the target words, only low-frequency (about five per million words,
SD = 9.9; Kucera & Francis, 1967) derivational words unfamiliar to the participants
were chosen as the target words. In addition, the roots and the distracter words had
to be familiar to learners. To address these concerns, an initial version of the test
was constructed after consulting the participants’ two English teachers, both of
whom had had about 8 years in teaching graduate level EFL courses in the
university where the participants were selected. To ensure that the participants were
unfamiliar with the target words, 20 students who were also taking the
Comprehensive English course but did not participate in the current study were
asked to rate their familiarity with the pilot test items on a 5-point Likert scale, from
very familiar (5) to very unfamiliar (1). Those items, very small in number, that
received an average rating higher than 3 were dropped and replaced by more
appropriate items. Finally, the affixes in the target words and the 90 high-frequency
word choices (about 52 per million words, SD = 112.6; Kucera & Francis, 1967) in
the final version of the task had appeared in the textbooks previously used by the
participants, and were reported by their teachers as familiar to the participants.
Participants were given 5 min to complete the test. They received one point for each
correct choice. The maximum score was 30. The reliability (Cronbach’s α) was .75.
Lexical inferencing ability
As mentioned earlier, lexical inferencing was narrowly defined as making
appropriate predictions of meanings for unknown morphologically complex words
based on intra-word morphological cues. To make successful meaning inferences,
learners not only need to be attentive to the functions and meanings of affixes, but
should be able to synthesize or integrate structural (morphological structure) and
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semantic (morpheme meaning) information of each target word. The lexical
inferencing test consisted of 30 low-frequency (about two per million words,
SD = 2.18; Kucera & Francis, 1967) derivational words followed by four meaning
explanations in the learners’ L1 Chinese. We took similar steps to ensure that the
target words were unknown to the participants to minimize potential confound from
learners’ existing knowledge of these words as we did in constructing the
morphological awareness test. The meaning explanations were constructed focusing
primarily on the suffixes in the target words. The participants had to know that a
suffix provides clues to the part-of-speech as well as overall meaning of an
unfamiliar derived word. For example, the word meritorious was followed by four
choices: 给予奖励 (to reward), 功勋卓著的人 (people with outstanding contributions), 值得称赞的 (praiseworthy), 杰出的贡献 (outstanding contributions).
Learners should choose the third answer if they know that the suffix -ous stands for
an adjective that describes the quality of things and subsequently combine this
information with the meaning of merit. Participants were given 10 min to complete
this test. They received one point for each correct choice. The maximum score was 30.
The reliability was .72.
Vocabulary knowledge
Both size and depth of vocabulary knowledge were measured. Vocabulary size was
measured with an improved version of Nation’s (1990) Vocabulary Levels Test
(VLT) designed by Schmitt, Schmitt, and Clapham (2001). This new version
consisted of five parts, representing five levels of word frequency in English: 2,000
words (e.g., electric, independent), 3,000 words (e.g., champion, administration),
5,000 words (e.g., mortgage, nomination), university word level (e.g., infrastructure, analogous), and 10,000 words (e.g., nocturnal, expulsion). Each part of the test
was comprised of 10 sets of six randomly sampled words (12 sets for the university
word level). Participants were required to select three words from each set to match
the three meaning explanations provided (e.g., target words: analogous, objective,
potential, predominant, reluctant, subsequent; meaning choices: happening after,
most important, not influenced by personal opinion). Because the participants for
the current study were EFL learners with relatively high English proficiency, the
2,000 words level was considered too simple to differentiate between learners and
show individual differences; therefore, it was dropped, and only the other four parts
were used. Eventually, there were 126 target words in the final version of the test,
among which about one third were derived words. Note that the VLT, as a
standardized vocabulary size test, primarily involves retrieval of word meanings
from the mental lexicon without explicitly requiring online morphological analysis
and meaning inference, distinguishing it from the lexical inferencing task as
delineated above. Participants received one point for correctly choosing a meaning
explanation for a word. The maximum score was 126. Participants were given half
an hour to complete the test. The reliability was .89.
Vocabulary depth was measured with Read’s (1993, 1998) Word Associates
Test (WAT). In the test, a word associates item consisted of a target adjective
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(e.g., beautiful) followed by eight words located in two different columns, each
containing four words (e.g., enjoyable, expensive, free, loud; education, face, music,
weather). Among these eight words, four words were associates of the target word.
The four words in the left column were adjectives; the associates in this group were
either synonyms of the target word or represented one aspect of the various
meanings of the target word. The four words on the right column were all nouns; the
associates in this group could collocate with the stimulus word. The test consisted of
40 items.
To minimize the effect of blind guessing, which had been identified to constantly
influence test-takers’ performance on the WAT (Read, 1998), in the present study
participants were not informed of the exact number of correct answers; instead, they
were encouraged to choose as many appropriate answers as possible. Students were
also told that they would receive one point for both choosing a correct word and not
choosing an incorrect word; and that they would receive nothing for either choosing
an incorrect word or not choosing a correct word. This criterion, different from the
original scoring criterion that only valued the choices of four correct words, was
used in this study to grade learners’ answers. Hence, the maximum score for an item
was eight, with the four associates being chosen and the four distracters not chosen;
the minimum score for an item was zero, with the four associates not chosen and the
four distracters chosen. A person who did not choose any word for an item also
received no points. The maximum score was 320. Students were given 40 min to
complete this test. The reliability was .76.
Reading comprehension
Five subskills related to the underlying processes of reading comprehension were
measured with five multiple-choice questions for each of the six passages we
selected. The word supply question required the participants to find an appropriate
word from four high-frequency word choices to fill in the blank in each text based
on local comprehension. The conjunction question asked the participants to choose
a conjunction word from among four choices that best represented the relationship
between two clauses. The co-reference question required the participants to identify
a pronoun’s antecedent based on surrounding discourse information. The textual
inference question tested learners’ ability to generate links between different parts
of a text and fill in the missing details. The gist question tested learners’ competence
to summarize main ideas of the passages. All questions were followed with four
choices, and the participants were asked to choose the best one to answer each
question.
The six passages included four expository texts and two narrative texts, with an
average length of 544 words (SD = 115). Four were selected from retired test papers
of the Test for English Majors-Band 8 (TEM-8) (TEM-8 Development Committee,
2003) and two from retired Graduate Record Examination (GRE) tests. Most of the
original items were replaced by the new ones specifically designed for this study;
some items measuring textual inference and gist that were considered appropriate
for the present study were kept. Participants were given 10–15 min to complete each
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passage, depending on the text length. The maximum score was 30. The reliability
was .80.
Data collection and analysis procedures
All the tests were printed on papers and administered to the participants in a whole
class format by their teachers in English classes. To avoid potential confound of
learners’ decoding ability on their performance on the outcome measures, the
English teachers were around to answer questions related to the pronunciations of
the words in the tests. The morphological awareness test and the lexical inferencing
test were first administered in one session, followed by two vocabulary knowledge
tests in two sessions, and finally the reading comprehension test with six passages in
six sessions. The whole process of data collection lasted about 4 weeks.
Seventeen participants who did not complete all the tests were removed from the
dataset, and 113 cases with intact data were kept for the final analyses. In analyzing
the data, we first used SPSS 16.0 to calculate the means and standard deviations of
all observed variables, and the correlations between them. The SPSS data were then
retrieved in EQS 6.1 for SEM analysis (Bentler, 2005). All the following analyses of
the measurement and the structural models were conducted using EQS 6.1 with the
two-step modeling approach (Kline, 2005). This meant that we first used
Confirmatory Factor Analysis to find an acceptable measurement model, and then
imposed this measurement model on the structural model to identify the path
coefficients and analyze the direct and indirect effects of the variables concerned.
Since χ2 value is sensitive to sample size and is often significant with a large sample
size, fit indices are adopted in covariance structure analysis to examine goodness of
model fit. Different cutoff values have been proposed for different indices. Hu and
Bentler (1999) suggested that Comparative Fit Index (CFI) larger than .95, and Root
Mean Square Error of Approximation (RMSEA) smaller than .06 indicate a very
good model. These two indices were used in the present study to make judgment on
goodness of model fit.
In testing the indirect effects of morphological awareness on vocabulary
knowledge and reading comprehension, and those of lexical inferencing on reading
comprehension, we were also interested in whether lexical inferencing and
vocabulary knowledge served as mediators (M) for the effects of independent
variables (IV) on dependent variables (DV), as the indirect effect of an IV on a DV
does not necessarily suggest existence of a mediation effect. To establish mediation,
some requirements have to be met. Baron and Kenny (1986) pointed out four
conditions: (1) an IV significantly predicts a DV; (2) an IV significantly predicts a
M; (3) a M significantly predicts a DV; and (4) an IV does not predict a DV
adjusting for a However, Kenny, Kashy, and Bolger (1998) questioned whether all
the above conditions have to be met. For example, condition 4 is only for
establishing complete mediation. For partial mediation, it does not need to be a
requirement. Many data analysts also argued against the necessity of condition 1,
suggesting that that condition may already be implied if conditions 2 and 3 are met.
In other words, the direct effect of an IV on a DV may not be observed if multiple
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1205
mediation effects are present and cancel each other out (Wu & Zumbo, 2008).
Based on these arguments, we used only conditions 2 and 3 as guidelines in testing
whether lexical inferencing and vocabulary knowledge served as mediators of the
effects of morphological awareness.
Results
Bivariate correlations
Table 1 shows the means and standard deviations of all observed variables and the
zero-order correlations between them. Most of the observed variables were
correlated significantly and positively. Morphological awareness was significantly
correlated with lexical inferencing ability, vocabulary size, and vocabulary depth.
The two vocabulary knowledge measures also had good positive correlation
(r = .546, p \ .01). Morphological awareness overall did not have significant
correlations with reading comprehension. Lexical inferencing ability was closely
related to two comprehension subskills: conjunction (r = .218, p \ .05) and word
supply (r = .268, p \ .01). Vocabulary size had significant correlations with
conjunction (r = .197, p \ .05), word supply (r = .213, p \ .05), and textual
inference (r = .190, p \ .05). However, no significant relationship was found
between vocabulary size and co-reference resolution and gist-making subskills.
Vocabulary depth was correlated significantly with only two comprehension
subskills, gist (r = .191, p \ .05) and conjunction (r = .247, p \ .01).
Table 1 Descriptive statistics of and zero-order correlations between morphological awareness, lexical
inferencing, vocabulary knowledge, and reading comprehension subskills
1
2
3
4
5
6
7
8
9
1
MA
–
2
LEXINF
.439***
3
VOCSIZ
.429***
.343***
–
4
VOCDEP
.326***
.364***
.546***
5
READCOF
.152
.109
.061
.104
–
6
READGST
.083
.126
.058
.191*
.351***
7
READCON
.160
.218*
.197*
.247**
.286**
.039
–
8
READTEX
−.031
.000
.213*
.121
.191*
.053
.127
–
9
READWS
.223*
.268**
.190*
.164
.249**
.170
.253**
.315***
–
Mean
24.65
17.98
85.27
230.20
3.51
3.34
3.37
2.62
2.74
SD
2.36
4.41
11.85
17.27
1.37
1.17
1.48
1.33
1.38
MSP
30
30
126
320
6
6
6
6
6
–
–
–
N = 113. MA morphological awareness, LEXINF lexical inferencing ability, VOCSIZ vocabulary size,
VOCDEP vocabulary depth, READCOF co-reference, READGST gist, READCON conjunction, READTEX textual inference, READWS word supply, MSP maximum score possible
* p \ .05, ** p \ .01, *** p \ .001
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Measurement models
As indicated earlier, we took the two-step modeling approach to SEM analysis by
first establishing an acceptable measurement model and then testing the structural
models. In the conceptual measurement model, vocabulary size and depth were to
load on the latent factor of vocabulary knowledge, and all the reading subskills on
that of reading comprehension. In testing the model, we fixed the factor variances at
1.0, and allowed them to covary. EQS output showed Mardia’s coefficient = .052,
with normalized estimate = .025, indicating non-significant multivariate kurtosis.
Therefore, no adjustment of non-normality was needed, and regular χ2 could be
used for testing model fit and for model comparisons.
The initial model showed χ2 (13, N = 113) = 20.418, p = .085 (CFI = .915;
RMSEA = .071, Confidence Interval or CI: .000–.101). Based on the cut-off values
suggested by Hu and Bentler (1999), the model did not show very good fit. The
Lagrange Multiplier Test result suggested that covarying the residuals of co-reference
and gist would significantly improve the model fit. Considering that successful
resolution of co-referential relationship in reading comprehension helps increase
overall textual understanding, and vice versa, we allowed the error terms of the two
observed variables to covary. The optimized model showed χ2 (12, N = 113) =
12.898, p = .377 (CFI = .990, RMSEA = .026, CI: .000–.092), with very good model
fit and significant improvement on the initial model (Δχ2 [1] = 7.52, p = .006). Thus,
it was accepted as the final measurement model.
Table 2 provides further details of the standardized parameter estimates for the
measurement model. Both vocabulary size (β = .748, p \ .001) and depth
(β = .730, p \ .001) were well loaded on the latent factor of vocabulary knowledge.
The factor explained about 56 and 53.3% of the variances in vocabulary size and
depth, respectively. The subskills of reading comprehension were generally well
loaded on the latent factor as well (all ps \ .001 except for gist). The factor loading
of word supply was β = .593, with about 35.2% of its variance explained by the
factor. For conjunction, β = .466, with about 21.9% of variance explained by the
factor. For co-reference and textual inference, β = .440, and β = .446, respectively.
Reading comprehension explained about 19.4 and 19.9% of the variance in these
two observed variables, respectively. The only observed variable that was not well
loaded on the factor was gist, β = .218, p = .083. Finally, the two factors were also
significantly correlated, r = .454, p \ .001.
Testing direct and indirect effects in the baseline structural model
The above final measurement model was imposed upon a structural model for
testing goodness of model fit. Based on the literature review, we came up with a
conceptual structural model as shown in Fig. 1, where reading comprehension was
predicted by three variables: morphological awareness, lexical inferencing ability,
and the latent variable of vocabulary knowledge. In addition, vocabulary knowledge
was predicted by both morphological awareness and lexical inferencing, and lexical
inferencing was predicted by morphological awareness. In testing the structural
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Contribution of morphological awareness and lexical inferencing ability
1207
Table 2 Parameter estimates of the optimized measurement model for confirmatory factor analysis of
vocabulary knowledge and reading comprehension
Paths
β
z
p
R2
VOCSIZ
← VOCAB
.748
4.935
\.001
.560
VOCDEP
← VOCAB
.730
4.887
\.001
.533
READWS
← READ
.593
4.715
\.001
.352
READCON
← READ
.466
3.853
\.001
.219
READCOF
← READ
.440
3.625
\.001
.194
READTEX
← READ
.446
3.678
\.001
.199
READGST
← READ
.218
1.733
.083
.047
a
E8 (READCOF)
↔ E10 (READGST)
.407
2.608
.009
–
VOCAB
↔ READ
.454
3.933
\.001
–
N = 113. VOCSIZ vocabulary size, VOCDEP vocabulary depth, VOCAB latent factor of vocabulary
knowledge, READWS word supply, READCON conjunction, READCOF co-reference, READTEX textual
inference, READGST gist, READ latent factor of reading comprehension
a
Error terms of READCOF and READGST were allowed to covary
Fig. 1 The conceptual structural model for the relationships between morphological awareness, lexical
inferencing, vocabulary knowledge, and reading comprehension
model, factor loadings of vocabulary size and word supply were fixed at 1.0. EQS
output showed Mardia’s coefficient = 1.75, with normalized estimate = .662,
indicating, again, non-significant multivariate kurtosis of the structural model. No
adjustment of non-normality was thus needed and regular χ2 could be used for
testing model fit and for model comparisons.
The baseline structural model showed χ2 (22, N = 113) = 25.417, p = .278
(CFI = .976; RMSEA = .037, CI: .000–.090) with very good fit. Table 3 shows the
standardized parameter estimates of that model, with decomposed effects (direct
and indirect effects) and total effects. Morphological awareness significantly
predicted lexical inferencing, β = .439, p \ .001, and explained about 19.3% of its
variance. Both morphological awareness and lexical inferencing made significant
independent contribution to vocabulary knowledge (34.1% variance explained) after
controlling for each other’s effect, β = .386, p \ .001, and β = .300, p = .006,
respectively. Morphological awareness, lexical inferencing, and vocabulary knowledge together explained about 22.1% of the variance of reading comprehension.
123
1208
D. Zhang, K. Koda
Table 3 Parameter estimates of the baseline structural model for the relationships between morphological awareness, lexical inferencing, vocabulary knowledge, and reading comprehension with direct,
indirect, and total effects
Predictors
Direct effect
Indirect effect
2
β
z
p
.439
5.173
\.001
R
LEXINF
Total effect
β
z
p
β
z
p
–
–
–
.439
5.173
\.001
.193
← MA
VOCAB
.341
← MA
.386
3.452
\.001
← LEXINF
.300
2.723
.006
READ
.132
2.409
.016
.518
4.814
\.001
–
–
–
.300
2.723
.006
.221
← MA
.042
.277
.782
.250
2.354
.019
.292
2.292
.022
← LEXINF
.172
1.193
.233
.101
1.480
.139
.274
1.993
.046
← VOCAB
.337
1.714
.087
–
–
–
.337
1.714
.087
N = 113. MA morphological awareness, LEXINF lexical inferencing ability, VOCAB latent factor of
vocabulary knowledge, READ latent factor of reading comprehension
Morphological awareness seemed to have the least unique contribution to reading
comprehension after controlling for lexical inferencing and vocabulary knowledge,
β = .042, p = .782; the independent contribution of lexical inferencing was a little
higher, β = .172, p = .233. Vocabulary knowledge had the largest independent
contribution to reading comprehension, β = .337, p = .087. However, no one
variable had any significant unique or direct effect on reading comprehension after
adjusting for the other two variables.
As Table 3 shows, in the baseline structural model, there was also a significant
indirect effect of morphological awareness, through lexical inferencing ability, on
vocabulary knowledge (γ21β32), β = .132, p = .016. Both direct and indirect effects
being significant, the total effects of morphological awareness on vocabulary
knowledge were significant too, β = .518, p \ .001. There were significant overall
indirect effects of morphological awareness on reading comprehension (γ31β13 +
γ21β12 + γ21β32 β13), β = .250, p = .019, and the total effects were also significant,
β = .292, p = .022.
Optimizing the structural model and testing effects in the new model
The Wald Test result suggested that removing the paths from morphological
awareness and lexical inferencing to reading comprehension would make the
structural model more parsimonious, but bring no significant change to the goodness
of model fit. Because the indirect effect of morphological awareness on reading
comprehension had to be tested adjusting for its direct effect, we did not remove the
path between these two variables, even though the direct effect was not significantly
different from zero. Instead, we dropped the path from lexical inferencing to reading
comprehension to improve the parsimony of the structural model. The optimized
model showed χ2 (23, N = 113) = 26.763, p = .266 (CFI = .974; RMSEA = .038;
123
Contribution of morphological awareness and lexical inferencing ability
1209
Table 4 Parameter estimates of the optimized structural model for the relationships between morphological awareness, lexical inferencing, vocabulary knowledge, and reading comprehension with direct,
indirect, and total effects
Predictors
Direct effects
Indirect effects
2
β
z
p
.439
5.173
\.001
R
LEXINF
Total effects
β
z
p
β
z
p
–
–
–
.439
5.173
\.001
.193
← MA
VOCAB
.354
← MA
.379
3.387
\.001
← LEXINF
.321
2.910
.004
READa
.141
2.536
.011
.520
4.783
\.001
–
–
–
.321
2.910
.004
.223
← MA
.060
.394
.694
.228
2.113
.035
.287
2.232
.026
← VOCAB
.438
2.253
.024
–
–
–
.438
2.253
.024
N = 113. MA morphological awareness, LEXINF lexical inferencing ability, VOCAB latent factor of
vocabulary knowledge, READ latent factor of reading comprehension
a
The path from LEXINF to READ was removed
CI: .000–.090) with good fit but no significant difference from the baseline model,
Δχ2 (1) = 1.346, p = .246. Therefore, this more parsimonious model was accepted
as the final structural model for further testing of direct, indirect, and total effects of
the predictors.
Table 4 shows minimal changes in the final structural model from the baseline
model (see Table 3) with regard to the effects of morphological awareness and
lexical inferencing on vocabulary knowledge. The direct effects of the two variables
on vocabulary knowledge remained similarly significant, so were the indirect and
total effects of morphological awareness on vocabulary knowledge. However, with
the removal of the path from lexical inferencing to reading comprehension, the
unique contribution of vocabulary knowledge to reading comprehension, adjusting
for morphological awareness, became significant, β = .438, p = .024, but not vice
versa (β = .060, p = .694). This suggested the more powerful influence of
vocabulary knowledge on reading comprehension. The indirect effects (β = .228,
p = .035) and total effects (β = .287, p = .026) of morphological awareness on
reading comprehension remained similarly significant as in the baseline model.
It should be pointed out that there were two limitations in the above analyses of
indirect effects. First, all indirect effects were examined using z-tests (Sobel, 1982),
which require a normal sampling distribution. However, as an indirect effect is
multiplicative (e.g., the indirect effect of morphological awareness on vocabulary
knowledge γ21 9 β32), its sampling distribution is often unknown and seldom
normally distributed. Therefore, the indirect effects reported above could be biased.
Shrout and Bolger (2002) proposed that bootstrapping, a data-based simulation
method for statistical inference, be used for testing indirect effects. The
bootstrapping method uses empirical sample data to generate a certain number of
bootstrap samples (typically 1000) through random sampling with replacement.
Each bootstrap sample is then analyzed to estimate a parameter. As the method uses
123
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D. Zhang, K. Koda
confidence interval to determine whether a statistic is significantly different from
zero, it does not have the assumption of normality of sampling distribution. Cheung
and Lau (2008) found that the bootstrapping method performed the best, compared
to a number of other methods, in estimating indirect effects. Second, EQS, like other
SEM programs, only reports total indirect effects. When there are multiple indirect
effects of an IV on a DV through different paths, the indirect effects via each
individual path and their relative contribution to the overall indirect effects are not
known. For example, in our final structural model (see Table 4), morphological
awareness indirectly contributed to reading comprehension via two paths, γ31β13 and
γ21β32β13. Reported in Table 4 were the total indirect effects of these two paths.
Therefore, it was not known whether morphological awareness indirectly contributed to reading comprehension through vocabulary knowledge alone (γ31β13), or
through both lexical inferencing and vocabulary knowledge (γ21β32β13). The
bootstrapping method provided a good way to estimate these component indirect
effects.
Given the above limitations, 1,000 bootstrap samples were generated from the
original empirical data. We requested percentile scores of 2.5% and 97.5% for
computing 95% CI to examine the frequency distribution of indirect effects
parameters to be estimated. As shown in Table 5, the indirect effect of
morphological awareness on vocabulary knowledge via lexical inferencing
(γ21β32) was significant (95% CI: .1105–1.1410). The overall indirect effect of
morphological awareness on reading comprehension (γ31β13 + γ21β32β13) was
significant (95% CI: .0187–.1820). The two component indirect effects of
morphological awareness on reading comprehension, one via vocabulary knowledge
(γ31β13; 95% CI: .0126–.1439), and the other via both lexical inferencing and
vocabulary knowledge (γ21β32β13; 95% CI: .0025–.0563), were both significant too.
To answer the research questions as to whether lexical inferencing and vocabulary
knowledge serve as mediators for the indirect effects, we went back to conditions
2 and 3 given by Baron and Kenny (1986). We found lexical inferencing ability
significantly mediated the indirect effect of morphological awareness on vocabulary
knowledge (γ21β32), as it was significantly predicted by morphological awareness
(γ21 ≠ 0; condition 2), and it significantly predicted vocabulary knowledge adjusting
for morphological awareness (β32 ≠ 0; condition 3). In addition, the indirect effects of
morphological awareness on reading comprehension were mediated by vocabulary
Table 5 95% confidence intervals for examining indirect effects of morphological awareness on
vocabulary knowledge and reading comprehension
Indirect effects
95% confidence intervals
MA → LEXINF → VOCAB (γ21β32)
.1105–1.1410
MA → VOCAB → READ (γ31β13)
.0126–.1439
MA → LEXINF → VOCAB → READ (γ21β32β13)
.0025–.0563
MA → READ (γ31β13 + γ21β32β13)
.0187–.1820
MA morphological awareness, LEXINF lexical inferencing ability, VOCAB latent factor of vocabulary
knowledge, READ latent factor of reading comprehension; All indirect effects were significant
123
Contribution of morphological awareness and lexical inferencing ability
1211
knowledge alone (γ31β13), as morphological awareness significantly predicted
vocabulary knowledge adjusting for lexical inferencing (γ31 ≠ 0; condition 2), and
vocabulary knowledge significantly predicted reading comprehension adjusting for
morphological awareness (β13 ≠ 0; condition 3). As γ21 ≠ 0, β32 ≠ 0, and β13 ≠ 0,
vocabulary knowledge and lexical inferencing ability also jointly mediated the
indirect effects of morphological awareness on reading comprehension.
Discussion
Previous studies on monolingual children (e.g., Anglin, 1993; McBride-Chang et al.,
2008) have shown that awareness of English morphological structure plays an
important role in vocabulary knowledge acquisition. Through “morphological
problem solving” (Anglin, 1993, p. 5), children learn new complex words by
inferring their meanings (Nagy & Anderson, 1984). Studies on adult EFL/ESL
learners have also confirmed that knowledge of affixes, lexical inferencing skill, and
vocabulary knowledge are closely related (e.g., Mochizuki & Aizawa, 2000;
Paribakht & Wesche, 1999; Schmitt & Meara, 1997).
These findings from previous studies imply that the effect of morphological
awareness on vocabulary knowledge, at least some part of it, should be achieved
through learners’ lexical inferencing skill. No studies, however, have directly
examined this issue, particularly among L2 learners. Empirically, our study, focused
on adult Chinese EFL readers, supports the existence of a partial mediation effect of
lexical inferencing skill. In other words, some effect of morphological awareness on
EFL vocabulary knowledge was realized via learners’ skill to integrate structural
(derivational morphology) and semantic (morpheme meaning) information to infer
meanings of unknown complex words. This mediation effect did not come as a
surprise, given that our morphological awareness task measured learners’ root
identification or morphological segmentation ability and this ability was critical to
their subsequent use of intra-word clues for meaning inferencing. As a result, those
learners who possessed better morphological awareness tended to learn words
better, and in turn, held a larger vocabulary. This finding also accords with Nagy’s
(2007) observation, situated in English monolingual children’s vocabulary acquisition, that at least part of the relationship between word structure knowledge and
vocabulary acquisition could be attributed to the effect of morphological awareness
on word learning ability.
We also found that morphological awareness, in addition to indirectly
contributing to vocabulary knowledge via lexical inferencing ability, also had a
unique or direct effect on vocabulary knowledge. Existence of this direct effect is
not surprising, because learners’ insights into stems, affixes, and word structure,
while helping with meaning inference, also strengthen their representation of
complex words in the mental lexicon and enhance retention of vocabulary items
(Sandra, 1994).
Our second set of research questions asked about the contribution of morphological awareness to L2 reading comprehension, in conjunction with lexical
inferencing ability and vocabulary knowledge. According to our final model
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D. Zhang, K. Koda
(see Table 4) and bootstrapping-based parameter estimates, morphological awareness had significant indirect effects on reading comprehension, through the
mediation of vocabulary knowledge alone, and the multiple mediations of both
lexical inferencing and vocabulary knowledge. To put it simply, indirect effects of
morphological awareness on L2 reading comprehension were largely realized via
vocabulary knowledge. This finding seems to accord with those of previous L2
studies that have documented a close relationship between morphological and
vocabulary knowledge on one hand (Mochizuki & Aizawa, 2000; Schmitt & Meara,
1997), and that between vocabulary knowledge and reading comprehension on the
other hand (Laufer, 1992). Thus, the shared variance between L2 morphological
awareness and reading comprehension could be attributed to their joint variance
with vocabulary knowledge.
Interestingly, however, results of the current study did not support our conceptual
structural model, which proposed that each one of the three variables, morphological awareness, lexical inferencing ability, and vocabulary knowledge, uniquely
contributed to reading comprehension after the other two variables were controlled
for. In other words, no one variable was found to have any significant independent
contribution to learners’ reading comprehension performance. This seems to
contradict previous L1 and L2 research findings and observations about the unique
contribution of morphological awareness to reading comprehension over and above
vocabulary knowledge. Both Ku and Anderson (2003) and Nagy et al. (2006), for
example, found that monolingual English-speaking children’s morphological
awareness significantly predicted their reading comprehension even after partialing
out the influence of vocabulary knowledge. Among studies on English L2 learners,
Kieffer and Lesaux (2008) also found Grade 5 Spanish-speaking ESL readers’
morphological awareness and vocabulary knowledge had significant independent
contribution to reading comprehension. According to Nagy (2007), the unique
contribution of morphological awareness to reading comprehension over and above
vocabulary knowledge could be attributed to the mediating effect of lexical
inferencing ability. That is to say, morphological awareness facilitates meaning
inferencing of complex words during reading; this in turn helps learners resolve
vocabulary gaps in reading and lead to better comprehension. In addition, learners
can use the syntactic signals provided by suffixes in derived words to help parse
complex sentences, which could also contribute to comprehension. Finally,
morphological awareness may also contribute to comprehension via its effects on
fluency of word decoding.
Why were the functional relations between morphological awareness and reading
comprehension not found in the current study as it has been discussed by reading
researchers and documented in previous research? We conjecture that the
disagreements might be attributed to the following reasons. To begin with, previous
studies that supported the independent contribution of morphological awareness to
reading comprehension only controlled for learners’ vocabulary size, while the
depth dimension was not measured as a part of vocabulary knowledge (e.g., Ku &
Anderson, 2003; Nagy et al., 2006). This study, however, employed both size and
depth as indicators of vocabulary knowledge, which could have strengthened the
contribution of vocabulary knowledge to reading comprehension and led to limited
123
Contribution of morphological awareness and lexical inferencing ability
1213
direct effect of morphological awareness on reading comprehension. In this regard,
the current study corroborates Qian (1999), which found morphological knowledge
did not contribute significantly to reading comprehension among adult ESL learners
in Canadian universities, after both vocabulary size and depth were controlled for.
The diminishing unique contribution of morphological awareness in this study
might also be due to the measurement of morphological awareness. The morphological awareness task in the current study only dealt with learners’ ability to
segment unfamiliar English derived words into morphological constituents and
identify the base forms of the target words. There is a possibility that this
morphological insight might have limited direct contribution to reading comprehension. Its effect on reading comprehension might have to be mediated by meaning
inferencing ability and vocabulary knowledge. This was partly reflected in the low
correlations of our morphological awareness measure with the five comprehension
subskills. In contrast to our study, previous studies that have found unique
contribution of morphological awareness to reading comprehension often employed
a number of measures tapping different levels of morphological awareness (e.g.,
Kieffer & Lesaux, 2008; Ku & Anderson, 2003; Nagy et al., 2006). Future research
adopting the design of the current study might want to add additional measures to
touch upon more sophisticated levels of morphological awareness, and see whether
any significant contribution of morphological awareness to reading comprehension
would emerge over and above vocabulary knowledge among adult English L2
learners. Methodologically, adding more measures or indicators of morphological
awareness could help touch upon its latent structure and reduce measurement errors,
even though SEM analysis can model relationships between variables with only one
indicator.
The different findings might also be attributed to variations in learners’
backgrounds, such as age and learning stage or L2 proficiency level, in the current
study and previous studies. Studies that have found the unique contribution of
morphological awareness to reading comprehension mostly focused on young
children (Kieffer & Lesaux, 2008; Ku & Anderson, 2003; Wang et al., 2006, 2009) or
adolescents (Nagy et al., 2006) that still demonstrated notable individual differences
in decoding fluency. Nagy et al. (2006) found that morphological awareness
contributed significantly to 8th and 9th grade English monolinguals’ rate of decoding
morphologically complex words, after controlling for their decoding ability.
Considering decoding efficiency could facilitate comprehension, the unique effect
of morphological awareness on reading comprehension over and above vocabulary
knowledge, as found in Ku and Anderson (2003) and Nagy et al. (2006) on English
monolinguals and Kieffer and Lesaux (2008) on young ESL learners, could reflect the
shared variance of decoding efficiency with morphological awareness and reading
comprehension (Nagy, 2007). In the current study and Qian (1999), however,
participants, albeit different in their context of English learning (EFL in China vs.
ESL in Canada), were both adult learners with many years of formal English learning
and relatively high English proficiency. Therefore, there was possibly limited
individual difference in those learners’ English decoding fluency. This might help
explain why no significant proportion of the variance in reading comprehension was
uniquely explained by morphological awareness/knowledge in the current study as it
123
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D. Zhang, K. Koda
has been observed in previous studies with young children and adolescents. However,
neither the present study nor Qian (1999) adopted decoding fluency as an outcome
measure in modeling the relationship between morphological awareness/knowledge
and reading comprehension. Future research might consider adding decoding fluency
as another variable and enrich the model tested in the present study.
As the first of its kind that modeled the intricate relationships of morphological
awareness to lexical inferencing ability, vocabulary knowledge, and reading
comprehension among adult EFL learners, our study appears to have a few
limitations that warrant attention in future research. To begin with, although our
study involved a significant number of participants, a larger sample would be
desirable for future studies. In this study, data of the 113 participants for SEM
analysis showed multivariate normality; fit indices (i.e., CFI and RMSEA) that are
less sensitive to model complexity and sample size were used; data-based
resampling was conducted. All of these have in one way or another helped us
overcome, or at least minimize the impact of small sample size and get generally
unbiased estimates of parameters. However, a larger sample is still preferred for
analysis within the SEM framework, though there has not been any consensus in the
literature about an exact sample size for conducting SEM analysis.
There is another issue not dealt with in the current study but might be of interest
for future research: whether the predictive relations observed in the current study
with advanced adult Chinese EFL readers would hold for other groups of English
learners, given variations in the nature of lexical exposure among learners at
different stages of English learning and the level of linguistic distance between L1
and English among learners of different L1 backgrounds? Empirically, to answer
this question, statistical testing by use of multiple-group SEM analysis would be
necessitated. Future research might want to simultaneously consider different
learner groups—same L1 but different L2 proficiency, and/or similar L2 proficiency
but different L1—and directly compare the relational patterns of the groups to see
whether the patterns would be invariant or different across the learner groups.
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