Richard P. Ebstein, Philip Asherson, Wai Chen, Tobias Banaschewski, Herbert Roeyers, Geoff B. Sorge, Ana Miranda, Barbara Franke, Rosemary Tannock, Maggie E. Toplak, Aribert Rothenberger, Michael Gill, Hans-Christoph Steinhausen, Joseph A. Sergeant, Margaret Thompson, David B. Flora, Edmund J.S. Sonuga-Barke, Jan Buitelaar, Jacques Eisenberg, Stephen V. Faraone, and Robert D. Oades
Attention-Deficit/Hyperactivity Disorder (ADHD) is characterized by problems with attention, impulsivity, and hyperactivity. The diagnosis derives from 18 symptoms indexing these behavioural domains [American Psychiatric Association (APA), DSM-IV-TR, 2000]. There is substantial continuity in maintaining a diagnosis of ADHD from childhood to adolescence (Faraone, Biederman, & Mick, 2006); however the phenotypic expression is highly variable within the diagnosed group and across time (Barkley, 2006; Nigg, 2006). Current diagnostic formulations distinguish between symptoms of inattention and those of hyperactivity-impulsivity. Three ADHD subtypes are recognized in the DSM-IV: the predominantly inattentive type, the predominantly hyperactive-impulsive type, and the combined type (where patients meet criteria on both the inattention and the hyperactive/impulsivity domains). This formulation is currently under review as part of the deliberation of the DSM-5 panel. Indeed, this current characterization remains controversial (Barkley, 2001; Diamond, 2005; Hinshaw, 2001; Lahey, 2001; Milich, Balentine, & Lynam, 2001). Here we focus on factor models of co-occurrence among ADHD symptoms. Two major types of factor models, correlated factor models and hierarchical models, have been used to examine coherence and distinctness among ADHD symptom domains. Hierarchical models provide a way to simultaneously conceptualize both the coherence and separability of symptoms from separate domains. These models include a single general factor accounting for covariation among all symptoms along with separate, specific factors of inattention, hyperactivity, and impulsivity that vary orthogonally from the general factor. These models are also termed as bifactor models in the statistical literature. Hierarchical models are different from correlated factor models that only have factors for the symptom domains of inattention and hyperactivity and/or impulsivity (see Figure 1). Several studies have shown hierarchical models with a general factor as having a better fit than correlated models for reported symptoms of ADHD (e.g., Dumenci, McConaghy, & Achenbach, 2004; Gibbins et al., in press; Martel, Von Eye, & Nigg, 2010; Toplak et al., 2009). These papers span clinical and community samples, and child, adolescent, and adult samples with ADHD. A one-factor model has also been considered, but thus far it has no empirical support (Dumenci et al., 2004). Figure 1 Generic example of a correlated two-factor model for 10 observed symptoms Hierarchical models explicitly acknowledge the common covariation among all ADHD symptoms, which is consistent with the conceptualization of ADHD as a single disorder. There are several lines of evidence suggesting that there is substantial commonality between the domains of inattention and hyperactivity-impulsivity. Inattentive symptoms tend to be more highly correlated with hyperactivity and impulsivity than with other domains of psychopathology (Adams, Kelley, & McCarthy, 1997; Conners, 2008; Strickland et al., 2011), with the exception of oppositional defiant disorder in some studies (Lahey et al., 2008). Current models of ADHD also highlight how the symptom domains of inattention, hyperactivity, and impulsivity likely interact to give rise to the heterogeneous expression of ADHD (Nigg & Casey, 2005; Sagvolden, Johansen, Aase, & Russell, 2005; Sonuga-Barke, 2005; Sonuga-Barke, Sergeant, Nigg, & Willcutt, 2008). To replicate and extend these findings, the current study examined different factor models in a large sample of ADHD patients recruited from a broad age range and from diverse national groupings. We were thus able to test whether a hierarchical model held for the whole sample and whether it also was invariant across different age groups and nationalities. A developmental perspective is important to integrate into models of individual ADHD symptoms, such that a single set of factors could parsimoniously explain the changes that occur over development. Age differences in scores from ADHD measures may reflect true differences in the constructs being measured or may simply reflect measurement differences due to age. Therefore, establishing measurement invariance across age groups is important. The behavioural presentation of ADHD changes considerably from childhood to adolescence. For instance, the expression of hyperactivity seems to decrease from childhood to adolescence and inattention commonly appears later in development than hyperactivity and impulsivity (Biederman et al., 2000; Hart et al., 1995; Larsson et al., 2006; Nigg, 2006). This developmental change introduces complex issues with respect to diagnosis. Subtypes have been used to characterize these different symptom presentations, and the instability of ADHD subtypes in developmental samples has also been well demonstrated (Lahey, Pelham, Loney, Lee, & Willcutt, 2005; Todd et al., 2008). Some of this instability of subtypes may be attributable to measurement variability (Lahey et al., 2005; Valo & Tannock, 2010); however some of this variability would be expected from a developmental perspective, which would presume that children’s symptom presentations change over the course of development. What is needed is a coherent model that can represent these shifts and changes in symptoms. In addition to the question of developmental change and continuity in ADHD symptoms, the current sample also had the unique characteristic of having recruited participants from seven European countries and Israel by 12 different research centers. Most studies examining cross-national samples have been concerned with whether there are comparable rates of prevalence across different countries (Faraone, Sergeant, Gillberg, & Biederman, 2003; Polanczyk, de Lima, Horta, Biederman, & Rohde, 2007) rather than consistency in symptom patterns across countries. In addition to testing the five different factor models in the full sample, invariance analyses were also conducted to examine consistency of the best overall model across countries. Thus, in the current study we first estimated five different factor models to determine which model best accounted for ADHD symptoms pooling all ages and locations using a sample of children and adolescents with ADHD and their siblings. The five factor structures included: a) a one-factor model of inattention/ hyperactivity/impulsivity; b) a non-hierarchical two-factor model with correlated inattention and hyperactivity/impulsivity factors (the correlated 2-factor model); c) a non-hierarchical three-factor model with correlated inattention, hyperactivity, and impulsivity factors (the correlated 3-factor model); d) a hierarchical model of a general ADHD factor with two specific factors of inattention and hyperactivity/impulsivity (the hierarchical 2-factor model); and e) a hierarchical model of a general ADHD factor with three specific factors of inattention, hyperactivity, and impulsivity (the hierarchical 3-factor model). Based on previous research, we expected that a hierarchical model with a general ADHD factor would provide the best fit to observed ADHD symptoms in both the ADHD and sibling samples and across instruments and informants. We then examined whether these modeled relationships among symptoms are equivalent across different groups by formally assessing measurement invariance in the ADHD group. Group differences in observed scores on measurement instruments can be attributed to true differences on the constructs being measured only if measurement invariance or equivalence holds across groups (e.g., Widaman & Reise, 1997). Based on the best fitting model, we conducted invariance analyses to determine whether the measurement parameters relating the constructs implied by the model to the observed symptoms are equivalent across age groups and locations in the ADHD group.