Factor Structure of ASD Symptoms in Russian 3-4-Year-Olds
Department of Pedagogy and Pedagogical Psychology, Saint Petersburg State University, 7/7 Universitetskaya Emb., 199034 Saint Petersburg, Russia
Departments of Ergonomics and Engineering Psychology, Saint Petersburg State University, 7/7 Universitetskaya Emb., 199034 Saint Petersburg, Russia
Academic Editor: Roy G. Beran
Received: June 08, 2023 | Accepted: October 12, 2023 | Published: October 19, 2023
OBM Neurobiology 2023, Volume 7, Issue 4, doi:10.21926/obm.neurobiol.2304190
Recommended citation: Nasledov A, Miroshnikov S, Tkacheva L, Fedorov S. Factor Structure of ASD Symptoms in Russian 3-4-Year-Olds. OBM Neurobiology 2023; 7(4): 190; doi:10.21926/obm.neurobiol.2304190.
© 2023 by the authors. This is an open access article distributed under the conditions of the Creative Commons by Attribution License, which permits unrestricted use, distribution, and reproduction in any medium or format, provided the original work is correctly cited.
Autism spectrum disorder (ASD) is a neurological developmental disorder characterized by abnormalities in social relationships and repetitive or restricted behaviors . The problem of autism is as acute as ever due to the high prevalence of this complex neurodevelopmental disorder  and the severe consequences it causes for social adaptation and quality of life for those affected . There is an excellent diversity of autistic symptoms and scenarios of its manifestation however, it is expected to distinguish a few core features such as impaired social communication, restricted and repetitive behavior, and sensory disintegration . An etiology of autism is heterogeneous and includes both genetic risks  and atypical brain maturation reflected in altered development of the social brain with distinct abnormal features in the fronto-temporo-parietal cortex and cerebellum , which makes a differential diagnosis and an early intervention a challenging task . At the same time, it is known that the earlier signs of ASD are detected, the faster rehabilitation is started and the better the expected results in correcting the core symptoms of autism and improving language and cognitive skills . Even though numerous studies of ASD have been conducted, attributing the etiology of ASD to genetic, environmental, immunological, perinatal, neuro-anatomic, and biochemical factors , the structure of autism symptoms is still unclear, and even the DSM-5 doesn't provide us with a precise description, just stating that a child must have persistent deficits in each of three areas of social communication and interaction . Besides, existing diagnostic screening tools have known limitations [10,11]. Also, there is a gap in the literature regarding the factor structure of autism, an understanding of which is crucial for studying the mechanisms underlying ASD. Therefore, additional research is needed to identify the system of ASD in early childhood and to detect predictors of autism manifestation and development. In this regard, in 2020-2022, we surveyed 926 children (383 with ASD, 200 with developmental delay (DD), 343 typically developing (TD)) to elaborate a screening scale for rapid diagnosis of ASD in 3-4-year-olds. An extensive online questionnaire designed by us was used for the examination to identify 436 possible symptoms of autism. The main result of the study was the creation of an Autism Scale based on 40 autism symptoms (items) representing 4 vectors of its manifestation: "Emotional disorders", "Sensory disintegration", "Communication disorders" and "Hyperactivity/Disinhibition". The scale has a prediction accuracy of 88.91% (sensitivity 92.1%, specificity 87.2%) [12,13]. The multi-group confirmatory factor analysis of structural and measurement equivalence confirmed the 4-vector structure of ASD for a sample of children with ASD, its structural and measurement invariance was established with respect to children with ASD differing in gender and age for 3-4-year-olds boys and girls. However, with respect to children without ASD, the presence of such a structure was not confirmed, and thus, our initial assumption that selected factors were vectors common to all children, at one pole of which there was a conditional norm, at the other - ASD, was not proved. The obtained scales reflect the vectors of ASD in which children with ASD differ significantly from typically developing children and children with developmental delay (DD) . Therefore, this study aimed to identify the autism vectors, which are typical in 3-4-year-olds children with ASD, based on the survey data of 383 children with ASD using an online questionnaire including 436 points - possible symptoms of ASD. We believe that identifying autism vectors will allow us to reach individual phenotypes within the framework of these neurodevelopmental disorders, which in turn could allow us to improve the quality of diagnostics and create targeted correction programs.
1.1 Previous Research of the Factor Structure of Autism
Attempts to explore factor structure of autism have been made before. Although studies are sparse and their results are not unambiguous, nevertheless, they are essential for interpreting patterns of ASD and identifying its heterogeneous phenotypes. In this regard, attempts to build a factor structure of autism have already been made by various research groups, including ours. Below, we present factor models of autism obtained as a part of the scientific exploration of this problem. First, we consider the models obtained fbased on diagnostic tools, and, accordingly, bearing significant limitations due to the predetermined structure of the tools themselves on which they were built. Then, we consider comparative models that explore vectors of differences between ASD and norm groups or between ASD and other developmental disorders.
Constantino and his research group studied the factor structure of autistic features using the data from 226 children with and without developmental disabilities, applying cluster analysis of the data from the revised Autism Diagnostic Interview (ADI-R) and factor analysis of the main components of the data from the Social Responsiveness Scale (SRS) . Their results showed the existence of a single, permanently distributed main factor associated with disparate phenotypic manifestations in three classic areas of autistic disorder (communication deficit, language deficit, and repetitive/stereotypical behavior). Accordingly, their results did not confirm the existence of independent sub-domains of dysfunction in autistic spectrum conditions. However, the obvious limitation of the study is the reliance on existing screening. Similarly, an attempt was made to study the factor structure of ASD based on the ASD-DC . The study was conducted on a sample consisting of 149 2-16-year-olds who met the criteria of ASD. A 4-factor solution was obtained: social relations, nonverbal communication/socialization, verbal communication, and limited interests/persistence in sameness. Further, the authors compared the results obtained on 125 typically developing peers according to the identified four-factor structure. It was found that children with ASD showed significantly more symptoms on all four factors of the scale. Several studies have been devoted to attempts to obtain the factor structure of autism, based on the questionnaire "The Autism Spectrum Quotient". Thus, Auyeung and co-authors  in a sample consisting of 540 4-11-year-olds children with ASD and 1225 normal-typical children received a 4-factor model of autism, which included the following factors: communication, attention to detail, social skills and imagination. Another example is a study conducted by Hoekstra and co-authors . They revealed the factor structure of the Dutch translation of the questionnaire "The Autism Spectrum Quotient", which makes it possible to quantify the severity of autistic traits. They also received a two-factor model consisting of the factors of "Social interaction" and the factor of "Attention to detail". A later study was also devoted to detecting the factor structure of autism through the same questionnaire on a sample of 522 participants . Using confirmatory factor analysis, a partially validated 5-factor model was obtained, including such factors as: (1) social skills, (2) communication/mind reading, (3) limited/repetitive behavior, (4) imagination and (5) attention to details. Finally, a recent study conducted on the same questionnaire but on a Chinese sample allowed researchers to obtain a 5-factor model of autism, which included the following factors: imagination, attention bias, communicative competence, atypical attention to detail, and interest limited to unusual objects . A similar study was conducted earlier by Snow and co-authors . Again, an attempt was made to reach the factor structure of autism through the definition of the factor structure of the revised Diagnostic Autism Interview (ADI-R), one of the most widely used assessment tools. They studied the factor structure of the interview and its compliance with indicators of adaptive, linguistic, and intellectual functioning. The study sample consisted of 1861 4- to 18-year-old patients diagnosed with ASD. The ADI-R estimates were subjected to confirmatory and exploratory factor analysis. The analysis was carried out according to the verbal status of children (n = 1329 verbal, n = 532 nonverbal) and separately only for the elements of the algorithm and all elements. ADI-R scores correlated with scores on adaptive, linguistic and intellectual functioning indicators. The data obtained indicate that the symptoms of autism can be explained statistically using a two-factor model consisting of social and communication behavior and limited and repetitive behavior. However, the study has a significant limitation due to the ADI-R structure itself. In another study based on the accumulated collection of reports on quantitative signs of autism using the social responsiveness scale (N = 9635), a five-factor structure of ASD was obtained, in which three factors were associated with impaired social communication (emotion recognition, social avoidance, and interpersonal relationships). Two factors were associated with repetitive behavior (persistence in monotony and ritualism) . Another five-factor structure of ASD obtained from the survey data of 275 participants with ASD aged 3 to 23 years (the Developmental, Dimensional and Diagnostic Interview) consisted of limited and repetitive behavior and interests, shaking hands and nodding (motor stereotypes), as well as three factors that represented a lack of social interaction and communication . In another study, based on the analysis of data obtained using the ASD-DC questionnaire (the Autism Spectrum Disorders-Diagnostic for Children) on a sample of 149 2-16-year-old children, a four-factor structure was obtained consisting of social relations, nonverbal communication/socialization, verbal communication, and limited interests/persistence in sameness . It is obvious that the obtained factor structures of ASD correspond to the two-factor structure in the updated DSM-5, but it also opens up some new aspects in the understanding of autism and its vectors.
Some factor models of autism deserve special attention, especially those trying to separate autistic traits and patterns from other developmental disorders by identifying vectors of differences and thereby delineating the factor structure of ASD. Thus, limited interests and repetitive behavior were studied in a large sample of children with ASD and ADHD (N = 1082) using exploratory factor analysis and factor invariance analysis by diagnostic status (ASD vs ADHD) . The "Revised Repetitive Behavior Scale" (RBS-R) measured restricted interests and repetitive behavior. A 4-factor model was identified consisting of (1) Stereotyping, (2) Self-harm, (3) Obsessions and (4) Ritualism/Need for Sameness. Interestingly, the level of intellectual development was negatively associated with stereotypes, self-harm and obsessions in ASD, as well as negatively associated with obsessions and ritual/identical behavior in ADHD. A similar study of restricted and repetitive behavior subtypes was conducted on a sample of 827 preschoolers with and without ASD . The authors identified 3 factors in the obtained factor model for the group with ASD, such as sensorimotor behavior, craving for sameness, and stereotyped speech.
Our research group also studied the vectors by which children with ASD differ from children with ASD and typically developing peers in a sample consisting of 863 children . The most significant differences between children of the norm group and children with ASD were obtained in the "Logical thinking" and "Motor skills" scales. However, the study showed that initially a wide range of tasks used was insufficient to diagnose children with ASD. A preliminary data analysis showed that readings suitable for children with developmental delays gave an uncertain result for children with ASD. In our recent publications devoted to the elaboration of a scale for early and accurate differentiation of 3-4-year-olds children at risk for ASD, a 4-factor model of autism was obtained in a sample consisting of 828 children (294-with ASD, 334-TD, 200-with DD), which included the following four vectors: sensory disorders, emotional disorders, communication disorders, hyperactivity/disinhibition . These vectors, consisting of 40 items (points on the autism scale), were the directions that most accurately (88%) separated children with ASD from other children. However, a subsequent check of this model's structural and measurement equivalence in relation to different parts of the sample showed that the equality is maintained for only samples of children with ASD (boys and girls, 3 and 4 years old). Still, for other children (not ASD) the model is not equivalent . Thus, our initial assumption was not confirmed that the selected vectors are common to all children, at one pole of which there is a conditional norm, at the other - ASD.
2. Materials and Methods
2.1 The Sample
The initial data were 436 binary variables - the results of using an Autism Markers Questionnaire implemented as an online survey. Our research group developed an autism questionnaire at the previous stage of our research project . The tasks' content (situations, areas of activity, behavioral pattern, and possible signs of ASD) was obtained by interviewing experienced practitioners engaged in psychological, behavioral, and pedagogical support of children in ordinary and extraordinary preschool institutions. The surveyed specialists selected the signs of ASD that are key for assessment by observing the child's behavior and interviewing their parents. As a result, an array of distinctive signs was collected, including well-known ones used in CARS and ADOS and features specific for the Russian sample. In total 926 children were examined during the period 2020-2022 (383-with ASD, 200-with DD, 343-TD). At the stage of identifying the factor structure of ASD symptoms, the data from a survey of 383 children with ASD was used. Data was collected bya group of experienced practitioners engaged in psychological and pedagogical support of children in specialized and ordinary preschool institutions of St. Petersburg. These specialists accumulated experience in collaboration with the main executors of this project in the past as part of research or training groups. The project executors invited specialists to take part in the online survey by email, providing a link to the survey website and indicating which groups of children should be examined. The assignment of children to the groups of ASD, DD, or TD was based on a previously obtained opinion from other official assessments (e.g., presented upon admission to a preschool educational institution, established by a special commission consisting of psychiatrists, neurologists, speech therapists, psychologists). Thus, the data was collected for children who special commissions had already classified as belonging to either ASD, DD, or TD before the study began.
2.2 Identification of the Factor Structure
Using exploratory factor analysis (EFA), the simplest factor structure of ASD symptoms was identified by the following requirements: a) factor loads of items included in each factor should be more than |0.35|; b) each factor should include at least 9 items with maximum factor loads for this factor c) each factor should have a clear, meaningful interpretation of the items included in it; d) a set of items included in each factor should ensure acceptable reliability of the corresponding scale (Cronbach's alpha is not lower than 0.7). The listed below methods were used: Extraction Method: Principal Axis Factoring, Rotation Method: Equamax with Kaiser Normalization. Statistical analysis was performed using IBM SPSS Statistics 28 version (Armonk, NY: IBM Corp.). 7 factors were identified, including a total of 78 binary items.
2.3 The Parcels Formation
The number of samples homogeneous by gender and age is insufficient for the confirmatory factor analysis (CFA) application to 78 initial binary items of the scale because 78 articles and 7 factors in the CFA will require an assessment of at least 156 parameters (78 error variances, 71 regression coefficients, 7 factor variances). However, even a 5-fold excess of the sample size over the number of estimated parameters (N/T) is insufficient . In addition, the ratio of the number of indicators to the number of factors (P/F) affects the value of the model's compliance indices with the initial data: the value of the consent indices tends to worsen as the number of indicators per factor in the CFA increases [28,29]. The optimal number of items per factor remains debatable ; however, using at least three items for each factor is often recommended [28,30].
The solution to these problems is a "parcel" approach, which implies combining (parcelling) items included in one factor into several parcels of items . Usually, a random distribution of items by parcels is used, or their forced distribution by a priori assumptions about the content of constructs . In addition to solving the problems of sample size (N/T) and the number of variables per factor (P/F), the parcel approach allows "strengthening" the scale of measuring from binary to quantitative.
2.4 Exploratory Factor Analysis of Parcels
At this step, the EFA was carried out 7 times with the number of factors from 1 to 7 to identify structures subject to factor validation with the help of CFA at the next step. The following methods were used: Extraction Method-Principal Axis Factoring, Rotation Method-Promax with Kaiser Normalization.
2.5 Confirmatory Factor Analysis of Parcels
A confirmatory factor analysis was used to verify the factor validity of the structures obtained in the previous step (CFA). Statistical analysis was performed using IBM AMOS 28 version (Amos Development Corporation 3000 Village Run Road Unit 103, #315 Wexford, PA 15090 USA). Confirmatory factor models were evaluated using the following indices: Chi-square ratio to the number of degrees of freedom (χ2/df), Comparative Fit Index (CFI), Tucker-Lewis index (TLI), Root mean square error of approximation (RMSEA) and its accuracy (Pclose). CFI and TLI values from 0.90 to 0.92 were considered adequate, from 0.92 to 0.95 good and >0.95 excellent. RMSEA values <0.070 were deemed adequate, and ≤0.05 were evaluated as excellent compliance, Pclose values greater than 0.1 were evaluated as acceptable compliance, and about 0.4 and higher were assessed as excellent compliance [27,32]. The comparison of the original and nested models (with fewer degrees of freedom) was carried out with the determination of the statistical significance (p) of the "improvement" by the Chi-squared difference (Δχ2) of the nested model, compared with the original one, by the corresponding difference in the number of degrees of freedom (Δdf). The nested model (with a smaller df) was recognized as better corresponding to the data if p ≤ 0.05 [27,32].
2.6 Checking the Structural and Measurement Invariance of the Model
The structural and measurement invariance of the multifactorial structure obtained in the previous step was checked against two pairs of samples: a) 3-4-year-olds b) boys and girls. The multi-group CFA was applied using IBM AMOS 28 version. Comparison of models for the measurement invariance analysis was based on empirical studies showing that a decrease in CFI or TLI > 0.01, or an increase in RMSEA > 0.01 implies nonequivalence of measurements [32,33]. For the present study, if any of these indices went beyond this limitation, it was considered that the more limited model has an unacceptable fitness.
2.7 Comparison of ASD, TD and DD Samples by Selected Factors
Robust Walch Tests of Equality of Means were used to compare the samples with multiple comparisons (Post Hoc Tests Gams-Howell).
Ethical review and approval were waived for this study due to no disclosure of any personal information. Written consent from the parents was obtained for all subjects involved in the study.
3.1 Preliminary Selection of Items and Scales Formation
First, those items for which the answers to one of the two alternatives were less than 10% were excluded, 273 items remained. According to Scree Plot, 12 factors were initially set. But 3 factors after rotation included less than 9 items with more than |0.35|. At the next iteration, the number of factors was consistently reduced so that each factor included at least 9 items with loads greater than |0.35|, and 9 such factors remained. However, three elements did not have a distinct interpretation after rotation. The first included a mixture of items related to asthenia and sensory disintegration, the second of active speech items and speech comprehension, and the third of items related to self-care and communication. Items pertaining to functional speech, asthenia, and self-care have been removed. The number of factors was reduced to 7, after which items with factor loads less than |0.35| were removed. As a result, a 7-factor structure was obtained, including from 9 to 14 items in each factor (78 items in total). Each factor was clearly interpreted according to the items included in it: 1) "Persistence on sameness" (Sam); 2) "Emotional dysregulation" (Em); 3) "Alienation" (Al); 4) "Speech understanding" (SU); 5) "Disinhibition/Hyperactivity" (Hyp); 6) "Echolalia" (Ech); 7) "Sensory disintegration" (Sen) (Table 1). Some of the items were inverted so that all the items included in each factor had the same signs of factor loads. The items in each element formed fairly reliable scales for the internal consistency of Cronbach's Alpha (from 0.730 to 0.871).
3.2 Parcels Formation
In our case, we used an a priori strategy of distributing packages by factors, in accordance with the 7-factor result of the EFA (Table 1), 3 packages per factor, and a random distribution of items by packages within each factor. In each of the 7 factors, the items were randomly distributed in 3 packages, at least 3 items in each package. Thus, 78 items were distributed in 21 packages, 3 for each factor and 3-5 for each package. The value of the package for each case was calculated as the average value of the items included in it. As a result, 21 new variables corresponding to the packages were presented in a 4-6-point quantitative scale (depending on the number of items in the package), and each value represented the proportion of affirmative answers to the items included in this package. Then, these 21 new variables were analyzed, three variables for each of the 7 hypothetical factors.
3.3 Exploratory Factor Analysis of Packages
The analysis was carried out 7 times, specifying the number of factors from 1 to 7. The following methods were used: Extraction Method: Principal Axis Factoring, Rotation Method: Promax with Kaiser Normalization. The structure was considered quite simple if the factor load of each package was more than |0.4| for only one factor, and for the rest, it was no more than |0.3|. Structures with 3, 6 and 7 factors turned out to be simple. In the 3-factor structure, the first factor included packages of factors Em, Al, Su, Ech (factors related to problems in communication), the second factor - packages Sen and Sam (sensory disintegration and insistence on sameness), the third - all 3 packages of Hyp. In the 6-factor structure, Sen and Sam packages were combined into one factor whilst the remaining packages were distributed according to the corresponding factors. In the 7-factor structure, each factor was formed by three related packages. Thus, according to the results of the EFA, there are no formal grounds to determine which of the 3 models is more consistent, with 3, 6 or 7 factors.
3.4 Confirmatory Factor Analysis: Comparison of Models with a Different Number of Factors
For comparison, 3 models with 3, 6 and 7 factors were formed, following the results of the EFA at the previous stage. Covariances between factors whose statistical significance was within the range of p < 0.01 were added to each model. The results are shown in Table 2.
The 6-factor model matches the initial data statistically better than the 3-factor model. However the 7-factor model should be recognized as the best in terms of consent indices, all the estimated parameters of which are statistically reliable (p < 0.001) (Figure 1). The identified factors form 3 groups of symptoms: problems in communication (Em, Su, Ech, Al), persistence on sameness and sensory disintegration (Sam, Sen) and hyperactivity/disinhibition (Hyp). It is noteworthy that Echolalia is positively associated with Speech understanding and negatively with Alienation.
Figure 1 The 7-factor model of ASD symptoms for 3-4-year-olds children.
Pearson correlations between age and factors were also calculated (Table 3). With age, the values of the factors "Persistence on sameness", "Sensory disintegration", "Speech understanding" and "Echolalia" increase statistically significantly.
3.5 Testing the Structural and Measurement Invariance of the Model
3.5.1 Testing the Invariance of Models for 3-4-Year-Olds Samples
The results of this stage are presented in Table 4.
The model without restrictions (Unconstrained) corresponds fairly well to the initial data for all the following indicators: χ2/df < 2; CFI > 0.95 and TLI > 0.90; RMSEA < 0.05. However, the differences are crucial for deciding on equivalence at one or another level of CFI, TLI, and RMSEA parameters fixation for the preceding and subsequent unconstrained models. If this difference exceeds 0.01, the equivalence at the appropriate level is not confirmed. Based on these considerations, the equivalence of models for 3-4-year-olds samples is certainly and established for all levels of restriction: a) measurement level of explicit variables (Measurement weights); b) the level of covariance between factors (Structural covariances); c) strict invariance: equality of the residuals of explicit variables (Measurement residuals). Thus, the measurement model's high configuration, metric, scalar and strict invariance for 3-4-year-olds samples is confirmed.
3.5.2 Testing the Invariance of Models for Samples of Boys and Girls
The results of this step are presented in Table 5.
All models, starting from the configuration (Unconstrained) and ending with strictly limited (Measurement residuals) correspond well to the initial data for all the following indicators: χ2/df < 2; CFI > 0.95; TLI > 0.97; RMSEA < 0.05. The CFI, TLI and RMSEA difference for each preceding and subsequent of the limited models does not exceed 0.01. Thus, the equivalence of measurement models for samples of boys and girls is confirmed at all levels: from configuration to strict measurement equivalence.
3.5.3 Comparison of Samples of ASD, TD, and DD by Identified Factors
The values of the factors were calculated for all the samples (ASD, DD, and TD) as the average values of the items included in these factors. Descriptive statistics are given in Table 6.
The ASD sample differs statistically significantly from the other two samples in each factor. An illustration of the differences is shown in Figure 2. For all the factors, except Speech understanding, the average values for the ASD sample are statistically significantly higher than for the TD and DD samples. The average values for ASD are statistically significantly lower than for the TD and DD samples in the factor of Speech understanding.
Figure 2 Average values of ASD symptoms factors for 3-4-year-olds.
As the result of this study 7-factor structure of autism for 3-4-year-olds was obtained. Our first factor was Insistence on sameness (Sam) because all the points with the largest factor loads included in this factor are related with persistence on the same routines, clothes, routes, performing tasks in the same way and experiencing stress as a response to changes. Our second factor was named Emotional dysregulation (Em) because all the points with the most significant factor loads included in this factor are connected with emotional responses in social interaction and include typical and atypical emotional reactions or the lack of adequate emotional responses. Our third factor is Alienation (AL) because all the points with the largest factor loads included in this factor are linked with the reactions of social withdrawal, the lack of social motivation for communication, and reactions of social avoidance. The fourth factor was called Speech understanding (Su) because all the points with the largest factor loads included in this factor are connected with speech understanding tasks, performing tasks as a response to verbal instructions. The fifth factor was named Hyperactivity/Disinhibition (Hyp) because all the points with the largest factor loads included in this factor are related to jumping, swaying, wandering around, performing lots of unnecessary movements, and restlessness. Our sixth factor is Echolalia (Ech) because all the points with the largest factor loads included in this factor are linked with repeating words and phrases heard from other people or from cartoons. The seventh factor was named Sensory disintegration (Sen) because all the points with the most significant factor loads included in this factor are related to increased or decreased sensitivity in various sensory modalities, manifested in the child's need for sensory self-stimulation or avoidance of specific sensory impressions.
Discussing the results obtained, it should be emphasized that we used the exploratory approach in identifying factor structure of ASD by processing initially very wide range of symptoms, whilst the most common approach is the confirmatory one, based on exploring factor structure of autism by using existing screenings or questionnaires with a priory predetermined structure. Our main result is the identification of 7-factor structure of autism in 3-4-year-olds and the finding of statistically significant differences of ASD sample compared with the samples of TD and DD in each factor. Confirmatory factor analysis confirmed the configuration and measurement invariance of the revealed 7-factor model of ASD to different parts of the sample: boys and girls, children 3 and 4 years old. This is convincing evidence in favor of the validity of the results obtained. The identified factors form 3 groups of symptoms which can be summed up under common denominators, such as problems in communication (Em, Su, Ech, Al), persistence on sameness and sensory disintegration (Sam, Sen), and hyperactivity/disinhibition (Hyp). We will discuss and interpret them based on the received groups of symptoms.
The first group of symptoms can be named problems in communication and includes 4 factors (Em, Su, Ech, Al). Unsurprisingly, one of the obtained factors is Emotional dysregulation (Em). It is known that emotional regulation is impaired in ASD because children with ASD experience difficulties with emotion recognition in self and others, reading emotional clues, and inhibiting emotional responses . Many researches directly link emotional dysregulation in ASD with its core symptoms such as social difficulties and repetitive behaviors [35,36]. According to the results of the observational studies, children with ASD show stronger and longer adverse emotional reactions when facing the necessity to perform structured tasks. They tend to use negative behavioral strategies, including avoidance, yelling, and aggressive reactions as compared to typically developing children . It is also known that children with ASD are more prone to self-harm reactions . It is also believed that emotional dysregulation in ASD is connected with higher probabilities of co-occurring psychiatric disorders and mental health problems . Some research groups claim that the heavier the symptoms of emotional disinhibition in ASD, the more serious the psychiatric burden, and the less favorable the forecast for those children's further development and adaptation [40,41].
Concerning verbal development and speech understanding in autism (our second factor in this group) it is well known that communication impairment is a core feature of ASD closely associated with difficulties in the integration of verbal and nonverbal communication in affected children . There is an enormous diversity of language impairment in the population of children with ASD regardless of cognitive abilities, but early language abilities and their development can predict social adaptation, academic achievements, and psychiatric outcomes in late childhood and adulthood . Speech impairment is also one of the core autism symptoms because even highly functioning children with ASD are likely to experience impairments in language pragmatics when the components of structural language are unimpaired . It is not surprising that children with ASD experience difficulties in speech understanding because it was shown that they demonstrate low sensory responses to single speech sounds , atypical neural responses on lexical stimuli connected with increasing motivation and task complexity compared with typically developing peers , restricted spontaneous attentional orienting to spoken words , specific difficulties with categorical speech sound discrimination which remains for lifespan , and reduced processing of semantic content .
The third factor in this group of symptoms was Echolalia, which is a salient speech disturbance commonly found in children with ASD  and which can be considered as a defining characteristic of ASD . It is believed that approximately 75% of children with ASD manifest echolalia at a certain stage of speech development . Though the exact etiology and pathogenesis of echolalia are not entirely clear, it is known that in typically developing children, sound imitation and verbal echo reactions disappear by the age of three years , whilst in children with ASD echolalia persists much longer and can last for long years . Some of the offered neurophysiological explanations of this phenomenon are impairment in the mirror neuron system  and dysfunction of the frontal lobe leading to the lack of inhibitory control . It is common to distinguish several types of echolalia in ASD, such as immediate and delayed echolalia ; also, there is ambient echolalia, which is typical for children with ASD and refers to the repetition of words or sentences they learn from the environment ; in addition there are verbal and vocal stereotypies . Interestingly, according to our results, Echolalia is positively associated with the factor of Speech understanding and negatively with the factor Alienation. Our results correspond to the previous findings. Thus it was discussed that Echolalia in ASD should be considered as a specific type of communicative behavior  and can be communicatively purposeful . So, indeed, Echolalia may facilitate speech understanding and contribute to communicative behavior, whilst totally non-verbal children with ASD more often show severe impairments in communication , which stands for the fourth factor Alienation included in the first group of symptoms according to our results.
Alienation or social withdrawal is another core autistic symptom  in its extreme manifestation known as hikikomori, a form of pathological social withdrawal . It is not surprising that one of the factors included in the 7 factor structure of autism was alienation. According to the results of the previous studies, this phenomenon is closely related to loneliness and emotional problems such as anxiety and depression . It is well known that even adult highly functional individuals with ASD tend to be involved in fewer social relationships . Following the social motivation theory of autism, it is claimed that people with autism have both less desire for social interaction and gain less pleasure from it . It is also understood that for the most highly functional people with ASD with Asperger's Syndrome, children and adults, it is tough to maintain high-quality friendships, which results in less enjoyment and leads to the best extent rather than social proximity than emotional connectedness [68,69]. It is discussed that those specific communicative patterns are correlated with different brain activations in people with autism . Thus, obtaining the factor Alienation as a part of the factor structure of autism was expected.
The second group of symptoms obtained in our research was formed by such factors as persistence on sameness and sensory disintegration, which correspond to universally acknowledged core features of autism. According to DSM-5 , repetitive behaviors and restricted interests may be reflected in the following main domains: stereotyped and repetitive movements, insistence on sameness, fixed and restricted interests, and sensory disintegration (hyper-/hyporeactivity). Sensory disintegration is, to date, the most frequently detected impairment in children with ASD . It is proved that repetitive behaviors and sensory processing problems negatively affect the daily functioning of children with ASD by altering their social, cognitive, and motor development . It is assumed that children with ASD can manifest repetitive behaviors as a response to sensory overloads. Such behaviors can be considered a coping mechanism aimed at reducing the excessive hyper-sensory stimulation and lowering the child's arousal level . It is also discussed that in case of hyporesponsiveness, repetitive behaviors and stereotypical movements could serve as a form of self-stimulation, providing a desirable level of sensory comfort . It is noteworthy that in our findings, the factors of persistence on sameness and sensory disintegration were linked together, which also goes in accordance with DSM-5 . However, some researchers proposed that repetitive behaviors and insistence on sameness are two different aspects of the same phenomenon . Nevertheless, the connection between sensory profiles and repetitive behaviors in ASD has long been known. Indeed, in accordance with previous studies, sensory disintegration often leads to repetitive behavioral patterns . Furthermore, it was revealed that hyperresponsiveness in children with ASD predicted high levels of repetitive behaviors, whilst sensory-seeking behavior was connected with rituals and persistence on sameness .
And eventually, the third group of symptoms was included only one-factor hyperactivity or disinhibition (Hyp). Hyperactivity or disinhibition is a rather specific symptom known to deteriorate inhibitory control deficits and is linked with more severe repetitive behaviors . In our model, this factor did not correlate with other factors, which corresponds to the results of the previous studies. Even though hyperactivity is not considered as a core autistic trait and is not included in DSM-5  it is believed that approximately 30-80% of children with ASD have concurrent symptoms of inattention and hyperactivity . It is discussed that hyperactivity in autistic children can be explained by violations in frontal cortex maturation, resulting in executive function deficits . It is often accompanied by a lack of inhibitory control and impairments in working memory . However, the alternative explanation of hyperactivity in autism can be a neurochemical imbalance caused by the prevalence of excitatory neurotransmitters . Notably, the dysfunction of the nigrostriatal circuit manifesting in an imbalance of dopamine in the subcortical nuclei also led to disinhibition and stereotyped behaviors . It is believed that hyperactivity in children with autism is an unfavorable symptom that aggravates the severity of ASD core symptoms .
Thus, as the result of our study, the 7-factor structure of autism for 3-4-year-olds was obtained. Correlations between 7 factors allow us to talk about 3 groups of ASD symptoms (Figure 1): 1) communication disorders (factors Em, Su, Ech & Al), 2) sensory disintegration and persistence on sameness (Sam & Sen), and 3) hyperactivity/disinhibition (Hyp). It is important to note that there is no correlation between these three groups of symptoms - they manifest independently of each other. Perhaps this can be explained if we assume the presence of various phenotypes of autism with the dominance of specific symptoms to each subtype. The most numerous group of symptoms refers to communication disorders. It is pretty clear that Emotional dysregulation (Em) is positively associated with Alienation (Al), and both are negatively associated with Speech understanding (Su). It is also interesting that Echolalia (Ech) is positively associated with Speech understanding (Su), and negatively with Alienation (Al). This may be explained by Echolalia's communicative function, which was discussed earlier. It seems that Echolalia can be a specific stage on developing language skills and speech understanding, whilst Alienation, on the contrary, should be less pronounced for mastering verbal abilities because it implies the accumulation of communicative experience. The apparent contradiction of the negative connections of Echolalia with other communicative symptoms is eliminated when comparing the group of ASD and two other groups (TD and DD) by the severity of 7 factors of autism symptoms (Tables 6-8). In children with ASD, the seriousness of all 7 groups of autism symptoms, including Echolalia (Ech), is significantly higher (p < 0.01) than in each of the other two groups. According to our results, the models of the actual ASD have larger dimensions. It can also be assumed that this structure changes with age - both in extent and in the content of symptoms, which is the subject of further investigation.
The main problem of this study was to identify the factor structure of ASD in 3-4-year-olds using the exploratory approach and initially wide range of autistic symptoms, which is part of a multidimensional mathematical model of autism. The 7-factor structure of autism was obtained, forming 3 groups of the core symptoms, such as problems in communication (Em, Su, Ech, Al), persistence on sameness and sensory disintegration (Sam, Sen), and hyperactivity/disinhibition. On the one hand, these vectors may determine the directions that most clearly distinguish ASD from the TD or DD groups. On the other hand, as a practical implication of the results obtained, those vectors could set the directions for the most optimal correction of ASD depending on its subtype and prevalence of one or the other autistic-like symptoms. We plan to develop the same models for different age groups of preschoolers to assess the likelihood of ASD and, ultimately, predict the trajectories of ASD manifestations, which in turn allow for determining the subtypes of ASD. For future research, the methodological recommendations for the correctional programs creation will be developed for each identified subtype of ASD, including a detailed description of the optimal interventions during rehabilitation.
The revealed 7-factor structure of ASD for 3-4-year-olds is based on 436 initial hypothetical symptoms of autism, i.e. on a relatively significant number of them. Nevertheless, it can be assumed that the factor dimension of autism symptoms is even greater. Initially, we set a condition - at least 9 items per factor, so some potential factors might not be included in our model due to the limited amount of items.
Conceptualization and methodology, A.N.; software, S.M.; validation and formal analysis, A.N. and S.F.; investigation and resources, S.M.; data curation, A.N.; writing-original draft preparation, A.N. and L.T.; writing-review and editing, L.T.; visualization, A.N. and S.F.; supervision, A.N.; project administration, A.N.; funding acquisition, A.N. All authors have read and agreed to the published version of the manuscript.
The study was supported by the grant of the Russian Science Foundation project No. 23-18-00155 «Study of predictive indicators of autism spectrum disorders in preschool children».
The authors have declared that no competing interests exist.
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