Axel Mayer's research while affiliated with Bielefeld University and other places
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Publications (49)
This article demonstrates how to perform univariate repeated measures ANOVA (U-RM-ANOVA) as a special case of structural equation models (SEMs). In the literature, sphericity is usually defined in terms of variances of pairwise differences of within-subject conditions. This article illustrates the original definition by Huynh and Feldt (1970) in te...
In psychology and the social sciences, it is often of interest how complex structural relations among variables are moderated by profiles or combinations of persons’ attributes. Some state-of-the-art methods, such as latent class analysis, are well-suited for this purpose. However, they can lead to methodological problems (e.g., convergence issues)...
Structural equation modeling is one of the most popular statistical frameworks in the social and behavioral sciences. Often, detection of groups with distinct sets of parameters in structural equation models (SEM) are of key importance for applied researchers, for example, when investigating differential item functioning for a mental ability test o...
The a priori calculation of statistical power has become common practice in behavioral and social sciences to calculate the necessary sample size for detecting an expected effect size with a certain probability (i.e., power). In multi-factorial repeated measures ANOVA, these calculations can sometimes be cumbersome, especially for higher-order inte...
This article demonstrates how to use structural equation modeling (SEMing) in place of between-subjects analysis of variance (BS-ANOVA). More specifically, this article demonstrates how to closely reproduce the F-values and p-values from ANOVA (for all main and interactions effects) using an SEM model comparison approach (i.e., χ2 difference tests...
Structural equation modeling (SEM) is one of the most popular statistical frameworks in the social and behavioural sciences. Often, detection of groups with distinct sets ofparameters in structural equation models (SEM) are of key importance for appliedresearchers, for example, when investigating differential item functioning for a mentalability te...
In this eye-tracking study, we examined whether gender dissimilarity between the case-marked subject and object noun phrases in a subject-verb-object (SVO) or object-verb-subject sentence (OVS) was used to predict thematic roles (agent and patient) and facilitate the grammatical analyses needed for thematic role assignment. Forty-two German-speakin...
The effects of a treatment or an intervention on a count outcome are often of interest in applied research. When controlling for additional covariates, a negative binomial regression model is usually applied to estimate conditional expectations of the count outcome. The difference in conditional expectations under treatment and under control is the...
In statistics, mediation models aim to identify and explain the direct and indirect effects of an independent variable on a dependent variable. In heterogeneous data, the observed effects might vary for parts of the data. In this paper, we develop an approach for identifying interpretable data subgroups that induce exceptionally different effects i...
Die Latent-State-Trait-Theorie (LST-Theorie) lässt sich als Erweiterung der Klassischen Testtheorie (KTT) auffassen. Zu mindestens zwei Messgelegenheiten werden Messungen anhand von mindestens zwei Tests, Testhälften oder Items durchgeführt. Bei Gültigkeit der testbaren Modellannahmen erlaubt diese Vorgehensweise eine Varianzdekomposition. Die Gesa...
Repeated measures analysis of variance (RM-ANOVA) is a broadly used statistical method to analyze data from experimental designs. RM-ANOVA aims at investigating effects of experimental conditions (i.e., factors) and predictors that affect the outcome of interest. It mainly considers contrasts that test standard main and interaction effects, even th...
Purpose: In this article, we propose a multi-group approach for analyzing complex nonlinear longitudinal trajectories. Method: The approach is based on the latent growth components approach (LGCA) that offers a flexible framework for defining growth components and extends the same for the use with multiple groups. The approach benefits from known a...
The effectiveness of a treatment on a count outcome can be assessed using a negative binomial regression, where treatment effects are defined as the difference between the expected outcome under treatment and under control. These treatment effects can to date only be estimated if all covariates are manifest (observed) variables. However, some covar...
Repeated measures analysis of variance (RM-ANOVA) is a broadly used
statistical method to analyze data from experimental designs. RM-ANOVA,
however, seeks to draw conclusions about main effects and interactions based
on manifest dependent variables. Different structural equation modelling based
approaches have been proposed to incorporate latent va...
The investigation of interindividual differences in the effects of a treatment is challenging, because many constructs-of-interest in psychological research such as depression or anxiety are latent variables and modeling heterogeneity in treatment effects requires interactions and potentially nonlinear relationships. In this paper, we present a tut...
The investigation of interindividual differences in the effects of a treatment is challenging, because many constructs-of-interest in psychological research such as depression or anxiety are latent variables and modeling heterogeneity in treatment effects requires interactions and potentially nonlinear relationships. In this paper, we present a tut...
In this article, we present an approach for comprehensive analysis of the effectiveness of interventions based on nonlinear structural equation mixture models (NSEMM). We provide definitions of average and conditional effects and show how they can be computed. We extend the traditional moderated regression approach to include latent continous and d...
The analysis of variance (ANOVA) is still one of the most widely used statistical methods in the social sciences. This paper is about stochastic group weights in ANOVA models – a neglected aspect in the literature. Stochastic group weights are present whenever the experimenter does not determine the exact group sizes before conducting the experimen...
In this paper, we present a general and flexible framework for constructively defining growth components to model complex change processes. Building on the concepts of the latent state-trait theory (LST theory; Steyer, Ferring, & Schmitt, 1992), we develop structural equation models containing latent variables that represent latent growth (change)...
Building on the stochastic theory of causal effects and latent state-trait theory, this article shows how a comprehensive analysis of the effects of interventions can be conducted based on latent variable models. The proposed approach offers new ways to evaluate the differential effects of interventions for substantive researchers in experimental a...
Repeated measures analysis of variance (RM-ANOVA) has become a popular statistical method for investigating data from repeated measures designs across social and behavioural sciences, and many other disciplines. Despite the wide range of application, RM-ANOVA may be not be used if its assumptions are not met, such as, normality, variance-covariance...
Background and Objectives
The bereavement literature has shown that losing close loved ones can lead to sustained declines in quality of life. Research in this area has typically focused on singular bereavement events, such as the loss of a spouse or child. Much less is known regarding the consequences of repeated bereavement or repeated losses in...
Repeated measures analysis of variance (RM-ANOVA) is a broadly used statistical method to analyse data from experimental designs. RM-ANOVA aims at investigating causal effects of experimental factors and predictors that affect the outcome of interest. Applications come from diverse disciplines such as cognitive psychology, clinical psychology or in...
Previous studies have established the relationship between behavioral problems and specific learning disorders (SLD); however, the exact mechanism by which behavioral disorders impact SLD remains unclear. This longitudinal study used the Child Behavior Checklist (CBCL) to investigate how parents’ judgment of children’s behavioral problems changed f...
Two main hypotheses have been formulated to explain short-term testosterone responses to competitions. The challenge hypothesis and the biosocial model of status make different predictions concerning the point of time, direction, and meaning of hormonal changes. This field study investigated whether testosterone reacts to experiences of challenge d...
Composite scores are commonly used in the social sciences as dependent and independent variables in statistical models. Typically, composite scores are computed prior to statistical analyses. In this paper, we demonstrate the construction of model-based composite scores that may serve as outcomes or predictors in structural equation models (SEMs)....
The analysis of variance (ANOVA) is still one of the most widely used statistical methods in the social sciences. This article is about stochastic group weights in ANOVA models – a neglected aspect in the literature. Stochastic group weights are present whenever the experimenter does not determine the exact group sizes before conducting the experim...
Researchers often use regressions with a logarithmic link function to evaluate the effects of a treatment on a count variable. In order to judge the average effectiveness of the treatment on the original count scale, they compute average treatment effects, which are defined as the average difference between the expected outcomes under treatment and...
The high cost of downtime for wind turbines drives the on-going efforts of researching the factors resulting in failure of turbine components. Knowledge of these factors is important to eliminate the failures causes and prevent their occurrence. SCADA data generated by wind turbines throughout their operation gives an insight into the states of the...
The present study investigated whether an autonomy-supportive intervention influenced students’ need satisfaction, achievement emotions, and strategies of self-regulated learning differently depending on several student characteristics. The study was conducted with a sample of 345 9th-grade students in 17 physics classrooms who were randomly assign...
In this presentation, we introduce a way of testing hypotheses of interest in repeated measures designs with latent variables using structural equation modeling (SEM). Traditionally, such designs are analyzed using repeated measures analysis of variance (repeated measures ANOVA). A limitation of repeated measures ANOVA is that only manifest variabl...
The investigation of developmental trajectories is a central goal of educational science. However, modeling and predicting complex trajectories in the context of large-scale panel studies poses multiple challenges. Statistical models oftentimes need to take into account a) potentially non-linear shapes of trajectories, b) multiple levels of analysi...
Objective: To examine whether rates of change in perceived control are predictive of cardiovascular disease (CVD) incidence across adulthood and old age.
Design: We used the PATH Through Life Project (n = 7103, M = 40, SD = 16; 52% women), a longitudinal panel survey that encompasses three cohorts at Time 1, ages 20–24, 40–44 and 60–64, who have be...
In this article, we present an approach for comprehensive analysis of the effectiveness of interventions based on nonlinear structural equation mixture models (NSEMM). We provide definitions of average and conditional effects and show how they can be computed. We extend the traditional moderated regression approach to include latent continous and d...
Background
Patients with Hodgkin’s lymphoma might have persistent fatigue even years after treatment. However, knowledge of the development of fatigue persisting long after completion of treatment is limited. Therefore, we did a detailed analysis of fatigue in our first-line clinical trials for early-stage favourable (HD13 trial), early-stage unfa...
We present a framework for estimating average and conditional effects of a discrete treatment variable on a continuous outcome variable, conditioning on categorical and continuous covariates. Using the new approach, termed the EffectLiteR approach, researchers can consider conditional treatment effects given values of all covariates in the analysis...
Longitudinal panel surveys are essential for studying development across the lifespan and have been instrumental in studying the course of development from infancy through adolescence to young adulthood and into old age. This entry mentions characteristics and design aspects of longitudinal panel surveys and give references to available data resour...
In this article, an overview is given of four methods to perform factor score regression (FSR), namely regression FSR, Bartlett FSR, the bias avoiding method of Skrondal and Laake, and the bias correcting method of Croon. The bias correcting method is extended to include a reliable standard error. The four methods are compared with each other and w...
Phonics, fluency, and reading strategy trainings are evidence-based interventions that foster the reading skills of poor readers in primary school. The purpose of the present study was to compare differential effects of the three types of trainings on the efficiency of component processes on word, sentence, and text level immediately after the trai...
The alternative classification system for personality disorders in DSM-5 features a hierarchical model of maladaptive personality traits. This trait model comprises five broad trait domains and 25 specific trait facets that can be reliably assessed using the Personality Inventory for DSM-5 (PID-5). Although there is a steadily growing literature on...
Perceived control and health are closely interrelated in adulthood and old age. However, less is known regarding the differential implications of 2 facets of perceived control, constraints and mastery, for mental and physical health. Furthermore, a limitation of previous research testing the pathways linking perceived control to mental and physical...
Background: Long-term impairment of quality of life and elevated fatigue levels in Hodgkin Lymphoma (HL) survivors have been frequently reported. However, few longitudinal data and no knowledge on types of fatigue development exist. Therefore, the German Hodgkin Study Group (GHSG) assessed the patients´ fatigue within the prospectively randomized H...
Mediation analysis, or more generally models with direct and indirect effects, are commonly used in the behavioral sciences. As we show in our illustrative example, traditional methods of mediation analysis that omit confounding variables can lead to systematically biased direct and indirect effects, even in the context of a randomized experiment....
We present a revision of latent state-trait (LST-R) theory with new definitions of states and traits. This theory applies whenever we study the consistency of behavior, its variability, and its change over time. States and traits are defined in terms of probability theory. This allows for a seamless transition from theory to statistical modeling of...
Conventionally, multilevel analysis of covariance (ML-ANCOVA) has been the recommended approach for analyzing treatment effects in quasi-experimental multilevel designs with treatment application at the cluster-level. In this paper, we introduce the generalized ML-ANCOVA with linear effect functions that identifies average and conditional treatment...
In this paper we present a general and flexible framework for constructively defining growth components to model complex change processes. Building on the concepts of the latent state-trait theory (LST theory; Steyer, Ferring, & Schmitt, 1992), we develop structural equation models containing latent variables that represent latent growth (change) c...
We present a 3-step approach to defining latent growth components. In the first step, a measurement model with at least 2 indicators for each time point is formulated to identify measurement error variances and obtain latent variables that are purged from measurement error. In the second step, we use contrast matrices to define the latent growth co...
Citations
... In these cases, approaches combining machine learning paradigms with confirmatory statistical models can help gaining insights into the relations among model variables and covariates. Two notable examples in the realm of structural equation modeling are SEM trees (Brandmaier et al. 2013), which combine SEM with decision trees (Quinlan, 1986) and SubgroupSEM (Kiefer et al., 2022), which is based on a subgroup discovery paradigm (Klösgen, 1996). These approaches facilitate exploration of complex structural relations with regard to a number of covariates in two ways: (a) The exploration of the covariate space is less formalized, that is, these approaches examine manifest combinations of the covariates instead of generating latent classes via a measurement model. ...
... Among the factors affecting a power calculation are the number of participants involved in the study and the type of statistical test we are performing. 42,43 This study included 151 participants at baseline and 127 participants at follow-up across both intervention and control groups. Sixty participants were recruited in the intervention group and 91 participants in the control group. ...
... Applications of this paradigm to statistical models are often called exceptional model mining (EMM; Duivesteijn et al., 2016;Leman et al., 2008). EMM has been proposed for regression models (Duivesteijn et al., 2012), mediation models (Lemmerich et al., 2020), latent growth curve models (Mayer et al., 2021), and structural equation models in general (SubgroupSEM; Kiefer et al., 2022) to name a few examples. ...
... However, causality theories, such as Rubin's causal model (Rubin, 2005) or the stochastic theory of causal effects provide causality conditions under which causal effects can be estimated. Usually, these conditions require a careful selection of covariates, which then are controlled for with regression adjustment (e.g., Mayer, 2019;Mayer et al., 2016) or propensity score methods (Rosenbaum & Rubin, 1983). For an overview of design and analysis in quasi-experimental settings, see also Reichhardt (2019). ...
... LST models ( Figure 1A) explain variance by situational, dispositional, and error influences. Therefore, different measurement occasions and different experimental conditions measuring the same construct are required (Kelava & Schermelleh-Engel, 2012). In the present study, different conditions were realized by separating data into two test sets by odd-even classification. ...
... For example, Breitsohl compared the analysis of variance between subjects and two methods based on structural equation models: the structural mean model and the multi-index multi-factor model [10]. For another example, the latent repeated measures analysis of variance [11] proposed by Langenberg et al. replaces the single Yang et al. ...
... However, the effect of information literacy on career success was not significant in SEM. The reason may be that the SEM is used to analyse the relationship between latent variables, whereas multiple linear regression is used to analyse manifest variable (Kiefer & Mayer, 2020). Nurses with good information literacy are more likely to seize the opportunity in big data medical treatment and collect medical data and resources faster and more efficiently (Westra et al., 2017). ...
... with few examinations of their pile-up over time (Infurna & Mayer, 2019Luhmann & Eid, 2009Schilling & Diehl, 2014). ...
... In addition, we will explore several baseline variables as prognostic and prescriptive predictors of change. To do this, we will use the EffectLiteR approach and consider baseline variables in the multiple-group LGCM [101]. The focal test for potential prescriptive variables is an omnibus test for interactions between treatment group and baseline variables. ...
... Regarding externalizing symptoms, both oppositional defiant [15] and conduct disorders [16] have been reported in SLD. However, the highest comorbidity is with Attention Deficit Hyperactivity Disorder (ADHD) [17,18], occurring between 25% and 45% of SLD cases [19,20]. ...