Measurement Error Applying a Bifactor Structural Equation Model to Investigate the Roles of Morphological Awareness and Vocabulary Knowledge in Reading Comprehension Michael J Kieffer Yaacov ID: 797728
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Slide1
Unique Contributions or Measurement Error? Applying a Bi-factor Structural Equation Model to Investigate the Roles of Morphological Awareness and Vocabulary Knowledge in Reading Comprehension
Michael J. Kieffer
Yaacov
Petscher
New York University Florida Center for Reading Research
Slide2What I’m Not Talking AboutKieffer, M. J. & Box, C. D. (2013). Derivational morphological
awareness,
academic vocabulary
, and
reading comprehension
in
Spanish
-speaking language minority
learners
and their classmates.
Learning
and Individual
Differences, 24
, 168-
175.
Slide3What I’m Not Talking AboutKieffer
& Box
(
2013
):
Inspired by Nagy,
Berninger
, & Abbott (2006)
Derivational MA made a direct unique contributed to reading comprehension, controlling for word reading fluency and academic vocabulary.
Derivation MA made indirect contributions to reading comprehension via both word reading fluency and academic vocabulary.
Predictive relations were largely similar for native English speakers and Spanish-speaking language minority learners
Slide4Morphological Awareness (MA)Students’ metalinguistic understanding of how complex words are formed from smaller units of meaning Starts as a oral language skill, but is developed through interaction with oral and written language
Develops throughout the grades, with derivational MA becoming particular important in upper elementary & middle grades
(
e.g., Carlisle, 1995
; for a review, see
Kuo
&
Anderson
, 2003)
Slide5What we already know
Or at least think we know…
Slide6Morphological Awareness (MA) predicts Reading Comprehension (RC)For a while, we have known that MA is correlated with reading comprehension (e.g., Carlisle, 2000;
Freyd
& Baron, 1982; Tyler & Nagy, 1990)
MA
RC
Slide7MA predicts RC,above & beyond Vocabulary (V)Unique contributions of MA to RC, controlling for vocabulary (e.g., Carlisle, 2000;
Kieffer,
Biancarosa
, &
Mancilla
-Martinez, in press; Kieffer &
Lesaux
, 2008, 2012; Kieffer & Box, 2013; Nagy,
Berninger
, & Abbott,
2006)
MA
RC
V
Slide8But wait…Conceptually, MA and vocabulary knowledge both involve meaning units (e.g., Kuo & Anderson, 2006).
Operationally, measuring MA requires meaningful manipulation of meaning units (e.g., Carlisle, 2012)
MA
V
Are we actually measuring MA and vocabulary as different constructs?
Slide9But wait…Empirically, MA correlates moderately to strongly with vocabulary
(Deacon
, Wade-Woolley, & Kirby, 2007; Deacon, 2011; M J Kieffer &
Lesaux
, 2008;
Mahony
,
Singson
, & Mann, 2000;
Pasquarella
, Chen, Lam,
Luo
, & Ramirez, 2012; Ramirez, Chen, Geva, & Kiefer, 2010; Singson, Mahoney, & Mann, 2000; Wang, Ko, & Choi, 2009; Wang, Yang, & Cheng, 2009
Some observed correlations above .60
(Carlisle, 2000; Ku & Anderson, 2003; Wang, Cheng, & Chen, 2006
)
Are we actually measuring MA and vocabulary as different constructs?
MA
V
Slide10But wait…Observed correlations between MA and vocabulary are attenuated by measurement errorReliability of researcher-created MA measures has been moderate
I
n the .70-.80 range & occasionally lower
So, “unique” contributions of MA beyond V could be an artifact of measurement error
Are we actually measuring MA and vocabulary as different constructs?
MA
V
Slide11Reason to worry…Using Confirmatory Factor Analysis (CFA), Muse (2005) found that MA could not be distinguished from vocabulary in fourth grade (See also Wagner, Muse, &
Tannenbaum
, 2007).
Spencer (2012) replicated this finding with eighth graders.
MA/V
Slide12On the other hand…Using CFA, Kieffer & Lesaux
(2012) found that MA was measurably separable from two other dimensions of vocabulary in Grade 6
though they are strongly related
Neugebauer
, Kieffer, & Howard (under review) replicated this finding for Spanish- speaking language minority learners in Grades 6-8
MA
V
Slide13Research Question 1To what extent do morphological awareness and vocabulary knowledge constitute measurably separable dimensions of lexical
knowledge in
sixth
grade?
Slide14Sample148 sixth graders in 2 suburban schools in Arizona
Slide15SampleSchools reported 81% and 65% of students receiving free or reduced lunch9% designated as English language learners
Slide16MeasuresDerivational Morphological AwarenessNonword suffix choice task (e.g., Nagy et al., 2006)
The man is a great ________.
A)
tranter
B)
tranting
C)
trantious
D)
trantiful
18 items;
Cronbach’s
Alpha = .78VocabularyMultiple-choice synonym task based on Lesaux & Kieffer (2010)
Words drawn from the academic word list (
Coxhead
, 2000)
18 Items;
Cronbach’s Alpha = .74
Slide17MeasuresReading ComprehensionGates-MacGinitie
Reading Test, 4
th
Ed.
(
MacGinitie
,
MacGinitie
, Maria, & Dreyer, 2000
)
Control: Word Reading Fluency
Test of Silent Word Reading
(Mather, Hammill, Allen, & Roberts, 2004 dim|how|fig|blue
Slide18Research Question 1: Data AnalysesUsing item-level data for MA & VocabularyTo investigate dimensionality:
Parametric exploratory factor analysis
Nonparametric exploratory factor analysis
Parametric CFA
Nonparametric CFA
Slide19Modeling Dimensionality of Lexical Knowledge:Unidimensional
Lexical Knowledge
MA2
V1
V2
V3
V18
…
…
MA1
MA3
MA18
Fit poorly
Rejected across parametric & nonparametric EFA & CFA models
Slide20Modeling Dimensionality of Lexical Knowledge:Two Dimensional
MA
MA2
V1
V2
V3
V18
…
…
MA1
MA3
MA18
Vocab
Fit better
Latent factors were strongly related
.78
Slide21Modeling Dimensionality of Lexical Knowledge:Bi-factor Model
MA-specific
Lexical Knowledge
MA2
V1
V2
V3
V18
…
…
MA1
MA3
MA18
Vocab- specific
Fit the best
CFI = .98; TLI = .98; RMSEA = .015
>1D: Δχ² = 66.71,
Δ
df
= 34,
p
<.001
>2D: Δχ² = 48.94,
Δ
df
= 33,
p
<.05
Slide22Findings: DimensionalityMorphological Awareness and vocabulary are measurably separable constructsAt least with these measures and in this population A bi-factor model that accounts for both the overlapping construct of lexical knowledge and the uniqueness of vocabulary and morphological awareness fits best
Slide23Research Question 2To what extent does morphological awareness-specific variance uniquely predict reading comprehension, beyond vocabulary-specific variance and the common variance shared by morphological awareness and vocabulary
knowledge
in sixth grade?
Slide24Research Question 2: Data AnalysesStructural Equation Modeling using a bi-factor model to predict reading comprehension performance
Slide25Predicting Reading Comprehension
MA-specific
Lexical Knowledge
Reading Comp
Word Reading Fluency
Vocab- specific
.67***
.10
.21
Slide26Findings: Predicting Reading ComprehensionIndividually, each of MA-specific variance, vocabulary-specific variance and lexical knowledge strongly predicted reading comprehension.Together, only lexical knowledge had a unique significant association with reading comprehension.
Slide27DiscussionGood news: Results support the common assumption that our measures are capturing different constructs.But we need to keep collecting validity data anyway.
Bad news: What’s unique about MA did not uniquely predict reading comprehension beyond what it shares with vocabulary.
Maybe the unique contribution of MA is less robust than we think.
Slide28Limitations & Future ResearchWe accounted for item-level measurement error, but not task-level measurement error.Statistical power was limited to detect small effects.Small number of ELLs prevented analysis of measurement invariance.
Slide29Thank YouFor more information, email:
michael.kieffer@nyu.edu