Understanding the secondary system of therapeutic alliance in autism interventions from the perspectives of parents and caregivers

This study utilized a sequential explanatory mixed-methods design in understanding the secondary system of therapeutic alliance from the perspectives of parents and caregivers of children with autism. In the quantitative phase, data from the accomplished questionnaires of 124 parent–caregiver dyads were collected and analyzed. Four factors extracted from the literature: treatment attitude, treatment compliance, level of stress, and perceived autism severity were examined as possible predictors of parent–therapist alliance, caregiver–therapist alliance, and parent–caregiver alliance. In the qualitative phase, eight parent–caregiver dyads (who both scored high in their alliance with therapist, alliance with each other, treatment attitude, treatment compliance, and level of stress) were interviewed to probe on their experiences of alliance-building, parenting, and caregiving. The integration of both quantitative and qualitative data led to the formulation of a conceptual framework that explains how the factors influence the secondary system of therapeutic alliance. These findings emphasize that tapping into the personal experiences of parents and caregivers can help in identifying what they value in a working, therapeutic relationship. Moreover, communication, skills training, and feedback among therapists, parents, and caregivers are essential to enhance positive attitude toward treatment, promote compliance to treatment recommendations, and address sources of personal stress. Nevertheless, this study calls for future studies to build into the factors associated with the systemic therapeutic alliance and to implement intervention programs that may target issues relating to attitude toward treatment, compliance to treatment, and experience of parental and caregiver stress.

difficulties), speech-language therapy (for communicative rehabilitation), physical therapy (for musculoskeletal and mobility concerns), behavior therapy (for behavioral problems), and special education services (for educational or academic needs) are being utilized to manage ASD cases (DeFilippis & Wagner, 2016).
Regardless of the type of intervention, a significant factor that influences the progress of treatment is therapeutic alliance (Lambert & Ogles, 2004;Luborsky, 1994;Wampold, 2001). Therapeutic alliance has been traditionally defined as the functional, collaborative relationship between a service provider (e.g., therapist) and a client. From a structural perspective, Edward Bordin (1979) identified the triadic components of therapeutic alliance: agreement on goals, engagement on tasks, and formation of bond. However, this conceptualization of the therapeutic alliance is exclusive only to the relationship between the therapist and the client, also known as the traditional view of therapeutic alliance. Other relationships existing beyond the usual client-therapist relationship were neglected. In order to capture a more holistic view of therapeutic alliance, William Pinsof (1994) developed the Systemic Model of Therapeutic Alliance which enumerated four interpersonal alliance subsystems occurring in psychotherapy: alliance between the client and the therapist, alliance between the client and his/her significant others, alliance between the client's significant others and the therapist, and the group alliance.

Systemic therapeutic alliance
In the context of interventions for children with ASD, the concept of therapeutic alliance is multi-faceted and more complex as compared with the traditional view. The therapeutic alliance does not only exist within the therapist-child relationship, but also with the child's family (e.g., parents). Just as there is a demand in the work of the therapist to deal with the child, much of the therapy process also deals with the child's parents (Rodriguez, 2011). Children with autism are brought to therapy mostly based on the decision of the parents. Because of this, parents then become important allies in therapy (Weersing & Weisz, 2002). This relationship between parents and therapists is described as a "facilitative condition that bolsters application of interventions and is therapeutic in its own right" (Alexander & Dore, 1999).
Moreover, the presence of a hired caregiver or yaya broadens the network of the therapeutic alliance. In the Philippines, the caregivers or yaya are the unsung heroes as they are essential in assisting the unique needs of children with ASD. The caregiver or yaya may be an immediate or extended family member, a non-relative or romantic partner, or a family friend (Loper et al., 2014). Usually, for cases of children with autism, parents hire a caregiver or set of caregivers who can take care of their child full-time. An efficient yaya plays a huge role in implementing effective therapy for children with ASD. With a healthy relationship with the parents, the yaya is considered not only part of the child's team of therapists and teachers, but also an integral part of the child's family. During therapy sessions, the yaya is encouraged to attend and observe most of the center-based sessions and be immersed in the therapy program. In this way, the yaya can take over for the parent when the parent needs a break from the rigors of the child's program or when at work (Bermudo, 2010).
Applying Pinsof 's framework in the context of autism interventions, the systemic alliance can be divided into two: primary and secondary systems of therapeutic alliance (Feinstein et al., 2009). The primary system of therapeutic alliance refers to a set of collaborative relationships that involves direct contact with the child-relationship between therapist and child and relationship between parent/caregiver and child. On the other hand, the secondary therapeutic alliance, also called the supporting alliance, refers to another set of collaborative relationship that does not involve a direct contact with the child but has an indirect influence on the child's progress-relationship between therapist and parent, relationship between therapist and caregiver, or relationship between parent and another caregiver (Karam et al., 2015). When taken together, these systems of therapeutic alliance form the systemic therapeutic alliance and the agents involved in each system form the child's system of care as shown in Fig. 1.

Secondary system of therapeutic alliance
For this study, the focus is on the secondary system of therapeutic alliance. The rationale behind giving importance to the secondary system of alliance revolved around the fact that children with ASD are surrounded by multiple therapeutic agents (parents, caregivers, and therapists) that do not only interact with the children, but also interact with one another (Pinsof, 1994). Furthermore, research studies revealed that positive therapeutic outcomes are not just influenced by the quality of relationship between the child and the therapist, but also by the quality of relationship among the care providers (Kazdin et al., 2006). Through regular therapy sessions with the child, consistent meetings with therapists, and coordination with the child's parents and caregivers, a healthy alliance among the members of treatment team is fostered (Alderson, 2009). When a healthy alliance is established, it is easier to implement a treatment plan and guarantee the treatment progress (Diguiseppe et al., 1996).
Therefore, it was essential to gather the perspectives of care providers in this study. In particular, parents and caregivers of children with autism were chosen as the target participants of this study because they are the care providers who spend more time with the CHILD CAREGIVER PARENT THERAPIST Parent-Caregiver Alliance P a r e n t -C h i l d A l l i a n c e C a r e g i v e r -C h i l d A l l i a n c e Therapist-Child Alliance P a re n t-T h e ra p is t A ll ia n c e C a re g iv e r-T h e ra p is t A ll ia n c e

Fig. 1 Systemic therapeutic alliance in autism interventions
children outside the therapy setting as compared to therapists. Exploration of the views of these care providers regarding the development of relationships among one another is essential as they are given an active role in the initiation, agreement, and maintenance of therapy (Hawks, 2015).

Factors associated with the secondary system of therapeutic alliance
Reviewing the literature revealed that the major factors that influence the development and maintenance of the secondary system of therapeutic alliance are: parent's (DeVet et al., 2003;Kalyva, 2013) and caregiver's (Accurso, 2012) attitude toward child's treatment, parent (Hoagwood, 2005;Myers, 2008;Thompson et al., 2007) and caregiver (Shirk & Karver, 2003) compliance, parental (Broggi & Sabatelli, 2010 and caregiver (Rabideau, 2017;Rone-Adams et al., 2004) stress, and severity of the child's condition (Al-Dujaili & Al-Mossawy, 2017). Factors that are positively associated with therapeutic alliance are treatment attitude and treatment compliance. Treatment attitude of parents and caregivers refer to their acquired knowledge about treatment, recognition of the need for treatment, and interpersonal openness. These factors contribute to positive attitude toward treatment (Smithson, 2009). When parents and caregivers see the treatment as too irrelevant or demanding, they may form negative attitude toward treatment and may eventually terminate the treatment program (Kazdin et al., 1997). Nonetheless, when they see the therapist as a capable service provider and are satisfied with both the process and outcome of treatment, then a positive attitude toward the child's treatment is formed (Eyberg, 1993). Furthermore, due to perceived effectiveness and satisfaction on treatment, parents and caregivers who have formed a favorable attitude toward treatment are more likely to continue the implementation of such treatment than those who do not have positive attitude toward treatment (Taylor & Antshel, 2019). Continuation of treatment characterized by agreement and compliance of parents leads to stronger relationships with the child's therapists (Myers, 2008). The concept of parent and caregiver treatment compliance refers to the degree by which parents and caregivers agree and follow the treatment recommendations by a professional and the extent to which these are practiced at home (Hock et al., 2015). The spectrum of compliance ranges from grateful acceptance of the professional advice on one end to total rejection of the recommendations on the other. Strong compliance can lead to better relationships with the professional and better outcomes for the child. Weak or total noncompliance, on the other hand, can lead to eventual termination of the professional relationship and removal of the child from the system of care (Davis, 2014;Dreyer et al., 2010).
In addition to the factors that facilitate therapeutic alliance, there are also factors that may hinder the quality of therapeutic alliance. Families of children diagnosed with a disability experience more instability, uncertainty, and dysfunction than typical families do (Watson et al., 2011). These experiences lead to increased levels of stress of parents and caregivers. Parental stress is defined as the parents' perception or feeling that the changes and demands associated with parenting exceed the available resources (health, financial, familial, etc.), and is considered a vital factor influencing child well-being (Mulsow et al., 2002). On the other hand, caregiver stress is defined as the caregiver's perception of the challenging physical, social, and emotional impact of caregiving on the caregiver's life (Amtmann et al., 2017). Research studies have consistently shown that the primary factor explaining the most variance of stress experienced by families of children with ASD is the severity of ASD symptoms due to associated behavior problems (Davis & Carter, 2008). Severity of ASD refers to the degree or intensity of autism spectrum disorder as manifested by its core symptoms: impairment in social communication and interaction and repetitive behaviors and restricted interests and its associated problem behaviors: comorbidities, aggression, self-injury, and so forth (Hock et al., 2015).

Research objectives
The main objective for this study was to formulate a conceptual framework of the secondary system of therapeutic alliance. Specifically, experiences of parents and caregivers were assessed and probed to (1) identify the significant factors associated with the components of the secondary system of therapeutic alliance (parent-rated alliance with therapist, caregiver-rated alliance with therapist, parent-rated alliance with caregiver, and caregiver-rated alliance with parent); (2) gain information about how they form alliance with the therapist and with each other, and (3) gain an understanding on how the factors associated with the alliances can be utilized to improve the working relationship.
It is important to note that the therapists' perspectives were not included in this study. The alliances between parent/caregiver and therapist were only rated by the parent and caregiver respondents. No therapist-rated alliance data or narratives were collected. From a therapist's perspective, the therapeutic alliance is naturally a part and a necessary ingredient of the entire therapeutic process (Hawks, 2015). It is the professional obligation of the therapist to establish alliance, strengthen that alliance, and maintain the strength of that alliance up until the termination of the relationship (Ackerman & Hilsenroth, 2003;Ardito & Rabellino, 2011). The question now remains: how do therapists establish alliance with clients and from a systemic perspective, with other care providers surrounding their clients? Answers to this question may come from the people whom they form alliances with. Such perspectives are essential because they provide insight on how they perceive the alliance and what factors facilitate or interfere in building relationships with them. These data could provide multiple points of entry in establishing a good quality of relationship with them.

Significance of the study
Most studies on therapeutic alliance involving the child were focused on the primary system of therapeutic alliance (alliances with the child). Although these alliances are at the core of effective therapeutic interventions, research studies were conducted suggesting that child psychotherapy is most productive when the secondary system of therapeutic alliance (alliances that involve network of relationships not only with the child, but also among care providers) is also valued in the therapy process (Helps, 2016). However, research studies on the secondary system of therapeutic alliance have only received limited empirical or even theoretical attention (Feinstein et al., 2009). Hence, a significant contribution of this research would be to add to the existing pool of knowledge regarding secondary system of therapeutic alliance and place emphasis on its value to contribute to an effective system of care for the child.
Moreover, there were relatively few research studies about child alliance as compared to adult alliance (Accurso & Garland, 2015;Arnd-Caddigan, 2012;Shirk & Karver, 2003;Walter & Petr, 2006); moreso that there is not much local literature examining the concept of therapeutic alliance in the population of children with special health care needs. Exploring the secondary system of therapeutic alliance allows for the formulation of an integrated system of care (characterized by healthy alliances among parents, caregivers, and professionals) for children with ASD.
Furthermore, studies about therapeutic alliance dealt with mere description of the relationship and how it is related with treatment outcomes (Ardito & Rabellino, 2011;Thompson et al., 2007). In this research, however, the focus was not on alliance-outcome relationship but on factors associated with establishing therapeutic alliance. Being able to identify such factors can provide a thorough understanding of the concept of therapeutic alliance and can serve as a guide for parents, caregivers, and professionals on how to utilize these factors to establish stronger alliances among one another and facilitate higher success of treatment.
This research study advocates for the inclusion of alliance-building among care providers in the entire treatment program (e.g., therapeutic alliance as a treatment goal). Most if not all autism treatment programs focus on decreasing challenging behaviors and increasing adaptive behaviors. However, the effectiveness of treatment is hugely attributable to the consistency of implementation of the treatment program, which necessitates collaboration and alliance among care providers (Baillargeon et al., 2005).

Study design
A sequential explanatory mixed-methods design was used for this study. A mixedmethods design is appropriate given the objectives of the study. Although there are already factors influencing therapeutic alliance as mentioned in the literature, a deeper understanding on how these factors contribute to each component of the systemic therapeutic alliance is essential. The quantitative method aimed to test the hypotheses while the qualitative method aimed to explain and contextualize the quantitative results. Integrating the results can provide an organized, coherent framework of therapeutic alliance that can be utilized as a guiding framework for building alliances among providers of care.
Specifically, in the quantitative phase, four factors extracted from the literature: treatment attitude, treatment compliance, level of stress, and perceived ASD severity were assessed via hierarchical multiple regression on how well they can predict parent-therapist, caregiver-therapist, and parent-caregiver alliances. In the qualitative phase, parent-caregiver dyads were interviewed about their experiences of establishing a working relationship with the child's therapist and with each other. They were also asked about underlying bases for their treatment attitude and treatment compliance as well as underlying sources of their level of stress. Data from both quantitative and qualitative methods were integrated to formulate a conceptual framework of the secondary system of therapeutic alliance in the context of autism management.

Research participants
In the quantitative phase, 124 parent-caregiver dyads were recruited via purposive and snowballing sampling. Participants met the following criteria: 1. Parents and caregivers (yaya) of children with ASD were recruited. 2. Parents and caregivers (yaya) must be living with the child under one roof. 3. Caregivers (yaya) must have been rendering paid caregiving services with the child for at least one year. 4. Parents and caregivers are affiliated with therapy centers in Metro Manila and children with ASD must be currently undergoing interventions (speech therapy, behavior therapy, occupational therapy, or child psychotherapy). Interventions must have been ongoing for at least 1 year.
Tables 1 and 2 provide the descriptive characteristics. Majority (85.5%) of the parent respondents are mothers while 14.5% are fathers. The ages of parents range from 28 years to 64 years with a mean age of 44.92 years. In terms of the caregiver respondents, they are all females and their ages range from 22 years to 57 years with a mean age of 34.34 years. Overall, they have been rendering services for the corresponding family from 5 to 17 years with an average duration of 9.85 years. It is important to note that some caregivers have already been working for the family even before the child was born while there are others who just started working for the family years after the child was born. Moreover, the parent respondents were asked about demographic information regarding their child. Majority (83.9%) of the children are males, whereas the remaining  16.2% are females. Their reported ages range from 4 years to 12 years with a mean age of 8.70 years. They have been undergoing therapy from 2 to 10 years with an average duration of 7.30 years. Lastly, 56% of the parent respondents reported that they belong to the middle-income bracket (monthly family income of more than or equal to P50,000 but less than or equal to P150,000) while 44% of them reported that they belong to the high-income group (monthly family income of more than or equal to P150,000). None of the parent respondents considered themselves to be in the low-income group (monthly family income of less than or equal to P20,000).
In the qualitative phase, eight parent-caregiver dyads who gained the top eight highest scores in the alliance measures (strong alliance) and factor measures (positive treatment attitude, positive treatment compliance, and high level of stress) were asked to participate in a short interview to probe on their experiences of alliance-building, parenting, and caregiving.

Procedure
Participants were recruited either immediately or at scheduled appointments. The participants (parents and caregivers of children with ASD) came from 30 therapy centers within Metro Manila (particularly, in areas of Caloocan City, Quezon City, Valenzuela City, and Makati City) all of which are private clinics. Sixteen of these therapy centers currently offer occupational therapy and speech-language therapy services while 14 therapy centers offer an occupational therapy, speech-language therapy, behavior therapy and special education tutorial services. Permission from these therapy centers were sought to provide referrals of potential participants for my study. Via purposive sampling (purposively selecting participants that meet the inclusion criteria), 87 parent-caregiver dyads were recruited. From these participants, they were also able to help find other people they personally know who can participate in the research. Through this snowballing approach, 44 more parent-caregiver dyads were included in the study. A total of 131 parent-caregiver dyads participated in this study.
Informed consent forms explaining the objectives and process of research, risks and benefits of participating in research, rights as a research participant, and privacy and confidentiality of data were provided to the participants.
After signing the consent form, a demographic questionnaire and the corresponding measurement scales to the parents and caregivers were administered in a face-to-face, pen and paper format. Answering the tests took about fifteen to twenty minutes. Among the 131 dyads of parent and caregiver respondents, 124 parent-caregiver dyads were able to accomplish the tests. Only the completed tests were used for data analysis. Therefore, a total of 124 parent-caregiver dyads became part of the research output. From the 124 parent-caregiver dyads, 8 parent-caregiver dyads were invited for an interview. These are the respondents who scored very high on the alliance and factor measures. The interviews were recorded and transcribed. The parents and caregivers in each dyad were interviewed separately in order to facilitate a more open response especially when talking about their experiences of establishing and maintaining a working relationship not only with the child's therapist, but also with each other. Each interview session lasted for 1 h to 1.5 h.

Research instruments
A demographic questionnaire and a set of measurement scales were administered as tools for gathering data. The demographic questionnaire contained information about age and sex of respondents, age and sex of child involved, number of years in service (for caregivers), number of years receiving services (for parents), and socioeconomic status of the family. On the other hand, the measurement scales administered to both parents and caregivers were as follows: (1) Therapeutic Alliance Scale for Caregivers and Parents; (2) Parent-Caregiver Relationship Scale; (3) Therapy Attitude Inventory; (4) General Adherence Scale; (5) Caregiver Stress Scale, and (6) Impact of ASD symptoms Scale.

Parent-therapist and caregiver-therapist alliances
The parent-therapist and caregiver-therapist alliances were measured using the Therapeutic Alliance Scale for Caregivers and Parents developed by Accurso et al. (2013). It is a 12-item scale rated on a 4-point scale. Total scores range from 12 to 48. The total score can be computed as the sum of all items, with items 2, 5, 7, 8 and 11 items being reversed-scored.

Parent-caregiver alliance
The parent-caregiver alliance was measured using the Parent-Caregiver Relationship Scale by Elicker et al. (1997) for both parents and caregivers. It is a 35-item scale measured on a 5-point Likert scale (from 1-strongly disagree to 5-strongly disagree). Total scores are computed by adding up the ratings across the items, with high scores indicating good relationship quality and low scores indicating poor relationship quality. Two equivalent forms are created for both parent and caregiver respondents.
In terms of its psychometric properties, factorial validity was established through principal components analysis and yielded three significant factors for the parent scale: Confidence, Collaboration, and Affiliation and three factors for the caregiver scale: Confidence, Collaboration, and Caring. The three-factor solutions accounted for 45% of the variance in the parent scale and 48% of the variance in the caregiver scale. Reliability was established through inter-item consistency yielding an overall Cronbach's alpha of 0.93 for the parent scale and 0.94 for the caregiver scale. Alphas for the subscales were 0.91 for parent and 0.92 caregiver confidence, 0.90 for both parent and caregiver collaboration, and 0.75 for parent affiliation and 0.84 for caregiver affiliation (Elicker et al., 1997).

Parent and caregiver treatment attitude
The parents' and caregivers' attitude toward treatment were assessed using the Therapy Attitude Inventory developed by Eyberg and Johnson (1974). It is a 10-item measure scored on a five-point scale from 1 (dissatisfaction with treatment or worsening of problems) to 5 (satisfaction with treatment or improvement of problems).
Reliability coefficient for the scale ranges from 0.88 to 0.91 which indicate very high internal consistency. Moreover, factor analysis yielded two factors: satisfaction with treatment outcomes (alpha 0.93) and satisfaction with treatment process (alpha 0.73). These two factors contribute to parents' and caregiver's attitude toward treatment (Brestan et al., 1999).

Parent and caregiver treatment compliance
To measure parent and caregiver compliance, the General Adherence Scale, a subscale from the Medical Outcomes Study was used. It is a 6-point Likert five-item scale that measures self-reported treatment compliance. The first and third items are reversescored because they are negative statements. The total score is calculated as the average of the five items (maximum of 6 and minimum of 1). High scores indicate high parent/ caregiver compliance while lower scores indicate low parent/caregiver compliance.
In the study done by Hock et al. (2015) with parental compliance to treatments of children with autism, the scale has very high internal consistency (Cronbach's alpha) ranging from 0.85 to 0.88 across four treatment types: medication treatments, behavioral treatments (e.g., Applied Behavior Analysis), developmental treatments (e.g., speech and occupational therapy), and alternative treatments (dietary or nutritional treatments).

Parental and caregiver stress
To measure the levels of stress for both parents and caregivers, the Caregiver Stress Scale developed by Amtmann et al. (2017) was used for both parents and caregivers. It is a 19-item scale rated on a 5-point Likert format which is intended to be used for caregivers (either a family member or guardian) of children with special health care needs and/ or behavioral problems. It has good construct validity as it significantly correlates with the Pediatric Caregiver Burden Scale (r = 0.7) and satisfactory discriminant validity due to significant differences between caregivers of children with special needs (M = 58.7, SD = 6.8) reporting higher stress levels than caregivers of children with no special needs (M = 46.1, SD = 9.4). It has excellent test-retest reliability, with a coefficient of 0.97 (Amtmann et al., 2017). This scale was originally meant to be used for only caregivers rendering unpaid caregiving services, usually the parent or legal guardian. In this study, however, I decided to use this scale to also measure the level of stress of caregivers of children rendering paid caregiving services as the items of this scale are deemed applicable for hired family caregivers.

Perceived autism severity
Lastly, the perceived ASD severity was measured using the 20-item Impact of ASD symptoms scale. This is a subscale of the Quality of Life in Autism Questionnaire developed by Eapen et al. (2014). This was designed to assess parents' and caregivers' perception of how problematic or severe the child's autism-specific difficulties are for them.
Rated on a five-point Likert format (with 1-not much of a problem for me to 5-very much of a problem for me), scores can range from 20 to 100, with lower scores signifying fewer problems or less perceived severity regarding the child's ASD-related behaviors. The internal consistency coefficients for this subscale is 0.92 for the ASD group (children with ASD) and 0.86 for the control group (children without ASD or any developmental disability). In terms of its discriminant validity, this subscale was able to significantly differentiate ratings of parents in the ASD group (reporting higher ratings) and parents in the control group (reporting lower ratings) via independent samples t-test. Moreover, its convergent validity was established through the significant correlations found with the Social Communication Questionnaire (r = − 0.37) and the Vineland Adaptive Behavior Scale-Maladaptive behavior index (r = − 0.37).

Cross-cultural reliability of the scales
Reliability analyses were performed to establish the cross-cultural reliability information of the Therapeutical Alliance Scale for Caregivers and Parents, Parent-Caregiver Relationship Scale, Therapy Attitude Inventory, General Adherence Scale, Caregiver Stress Scale, and Impact of ASD Symptoms scale on how well the items between scales are internally consistent when administered in the Filipino population. The results showed great internal consistencies of greater than 0.6.

Interview guide
For the qualitative part of the study, an interview guide was used. It consists of five general questions with corresponding probing questions each. The first question was intended to gather information about parents' and caregivers' experiences of building and maintaining a good relationship with the child's therapist. The second question was about parents' and caregivers' experiences of building and maintaining a good working relationship with each other. The third question and fourth questions explored the bases for the parents' and caregivers' positive attitude toward the child's treatment and positive compliance to treatment, respectively. Finally, the fifth question focused on the sources of parental and caregiver stress in relation to parenting and caregiving.

Quantitative phase
Data from the demographic questionnaire and scores from the measurement scales were analyzed using a statistical tool (SPSS v. 22). Descriptive statistics in the demographic data were explored to provide a contextual description of the participants that were studied. Likewise, the scores from the measurement scales were examined via descriptive statistics to look at the variability and normality of score distributions. Then, a hierarchical multiple regression was performed to test the variables that can significantly predict each component of the secondary therapeutic alliance. The presence of outliers, homoscedasticity of residual variances, and non-multicollinearity of predictors were assessed to support the use of multiple regression as a method of analysis.
In the analysis, four regression models were obtained: two from the parents' perspective (explaining parent's alliance with therapist and caregiver) and the other two from the caregivers' perspective (explaining caregiver's alliance with therapist and parent). The dependent variables (outcomes) were the alliance measures (parent-rated alliance with therapist, parent-rated alliance with caregiver, caregiver-rated alliance with therapist and caregiver-rated alliance with parent) while the independent variables (predictors) were the: treatment attitude, treatment compliance, level of stress, and perceived ASD severity.

Qualitative phase
Data from the interview were analyzed and themes were extracted via thematic analysis. Narratives of both parents and caregivers regarding their perception of the relationship with therapist and with each other, their bases for their attitude and compliance in treatment, and their experience of stress were compared. These were used as supporting information to gain a comprehensive understanding of the results of the quantitative analysis.

Descriptive information
Mean scores of the respondents across the scale variables indicate good alliance with their therapist, good alliance with each other, positive attitude toward treatment, average treatment compliance, above average stress levels, and ASD severity perceived as problematic (see Table 3).
The good quality of alliance as perceived by parents and caregivers with the child's therapist may have been influenced by the duration of therapy services. There are studies looking at the significant relationship between treatment retention and therapeutic alliance particularly in the context of child psychotherapy. Parents and caregivers who perceive a good quality of alliance with the child's therapist are more likely to continue with the treatment intervention-thus, lengthening the duration of therapy (Kazdin, 2006;Thompson et al., 2007). Likewise, the good quality of alliance perceived by parents and caregivers for each other can also be related to the number of years the caregiver has spent for the family. In the study done by Elicker et al. (1997), the scores reported by both parents and caregivers using the Parent-Caregiver Rating Scale are significantly correlated with the number of months the caregiver has rendered services for the family. Therefore, the therapeutic alliance may be more likely to be perceived as generally positive the longer the working relationship lasts.
Furthermore, both parents and caregivers reported above average stress levels at the time of measurement. This makes sense because studies have shown that parents and caregivers of children with autism have significantly higher stress levels than parents and

Quantitative results
It is quite notable that the regression models for both parent (see Table 4) and caregiver (see Table 5) ratings resemble each other in terms of the significant predictors (treatment attitude, treatment compliance, and stress).

Parent ratings
Treatment attitude and treatment compliance are significant predictors of parent-rated alliance with therapist [F(2, 121) = 29.008, p < 0.01, R 2 = 0.324]. This means that 32.4% of changes in parent-rated alliance with therapist is accounted for by changes in parent's treatment attitude (β = 0.306, p < 0.01) and treatment compliance (β = 0.336, p < 0.01). Furthermore, in terms of parent-rated alliance with caregiver, parental stress turned out to be a significant negative predictor [F(1, 122) = 53.535, p < 0.01, R 2 = 0.305]. This shows that changes in the parent's stress levels (β = − 0.552, p < 0.01) can explain 30.5% of changes in parent-rated alliance with caregiver.  Table 5 Final regression models predicting caregiver-rated alliance with therapist and caregiverrated alliance with parent *p < 0.05 **p < 0.01

Caregiver-rated alliance with therapist Caregiver-rated alliance with parent
Predictors

Caregiver ratings
Likewise from the perspective of the caregivers, their treatment attitude and treatment compliance are significant predictors of caregiver-rated alliance with therapist [F(2, 121) = 50.732, p < 0.01, R 2 = 0.456]. This indicates that 45.6% of changes in caregiver-rated alliance with therapist is explained by changes in caregiver's treatment attitude (β = 0.366, p < 0.01) and treatment compliance (β = 0.404, p < 0.01). Then with regard to caregiver-rated alliance with parent, caregiver stress is also a significant negative predictor [F(1, 122) = 57.257, p < 0.01, R 2 = 0.319]. This shows that 31.9% of changes in caregiver-rated alliance with parent can be attributed to changes in the caregiver's stress levels (β = − 0.565, p < 0.01).

Qualitative results
While there is a similarity in the regression models for both parent and caregiver ratings of alliances, the subsequent qualitative analyses revealed striking differences with regard to (a) how parents and caregivers perceive the therapeutic relationship; (b) bases of their attitude and compliance to treatment, and (c) sources of stress.

Comparing parents' and caregivers' perception of alliance toward the therapist
The parent-rated alliance with therapist is highly attributed to an aspect of relationship that involve "working together" and "problem-solving". On the other hand, the caregiver-rated alliance with therapist is highly accounted by the caregivers' positive feelings toward the therapist.

Comparing parents' and caregivers' perception of relationship with each other
The prevalent theme in the parents' narratives about their relationship with the caregivers revolves around their confidence in the knowledge and skills of the caregiver in taking care of the child. For caregivers, they perceive a good relationship when the parents are seen as helpful and reliable. These themes were extracted from the following responses (

Comparing parents' and caregivers' attitude toward treatment
For parents, their positive attitude toward treatment is based on two factors: perceived competencies of the therapist and perceived improvement of the child. On the other hand, a factor that greatly contributes to the positive attitudes of caregivers toward treatment is their acquisition of skills and knowledge relevant to autism management. The following are their responses (translated in English) from the interview: Parent responses:

Caregiver responses:
I feel positive about the treatment because I learned a lot of things-I learned how to properly address (name of child)'s tantrums and violent behaviors. I am now able to teach (name of child) simple skills like sitting longer while eating, taking turns while playing, and using words when requesting. I feel more confident in my ability to handle the child better than before.

Comparing parents' and caregivers' compliance to treatment
In terms of treatment compliance, both parents and caregivers reported that their compliance to the treatment plan is influenced by two factors: environmental contingencies (schedule of skill practice and opportunities for practice) and perceived improvement of the child. Below are their responses (translated in English): Parent responses:

Comparing parents' and caregivers' sources of stress
The sources of parental and caregiver stress were also identified. For parents, they specified the stress related to parenting as a "limiting or restricting responsibility". While for caregivers, their stress is related to physical exhaustion as a consequence of taking care of the child.

Integration
Integrating the results of quantitative and qualitative analyses led to the formulation of a conceptual framework as illustrated in Fig. 2. The parent-therapist alliance is heavily influenced by how well they work together and collaborate with regard to the child's care and treatment. On the other hand, the caregiver-therapist alliance is mostly pronounced by how well the caregiver likes the therapist in terms of preference and emotional investment. Interestingly, these themes that emerged from the narratives of parents and caregivers are analogous to Bordin's (1979) triadic components of therapeutic alliance-agreement on goals and engagement on tasks for parenttherapist alliance and formation of emotional bond for caregiver-therapist alliance.
Dwelling on the factors influencing alliances with therapist, when parents and caregivers have favorable attitude toward treatment, they are more likely to develop stronger alliance with the child's therapist than those with negative attitude toward treatment. This corroborated the research study of Accurso (2012), stating that positive treatment attitude of parents and caregivers facilitate the formation of alliance with therapist.
Since treatment attitude is a predictor of changes in alliance between parents/caregivers and therapist, this can serve as a point of entry in building such alliances. Based on the qualitative data, positive treatment attitude of parents is coming from perceived competencies of the therapist as well as perceived improvement of the  Fig. 2 Conceptual framework of the secondary system of therapeutic alliance. **Correlation is significant at 0.01 level child. This is also similar to the previous studies done by Eyberg (1993), DeVet et al. (2003, and Kalyva (2013) stating that when parents witness improvements on the child since the therapy started, then they would favor the continuation of therapy. On the other hand, the positive attitude of caregivers is based on acquisition of skills and knowledge. This result is similar to the findings of Smithson (2009), stating that treatment attitude has three components: expectation and recognition of the need for treatment, acquisition of knowledge about treatment, and openness about treatment. Therefore, professionals working with parents and caregivers can tap into these information to facilitate positive attitude toward treatment and eventually build alliance with them. Programs that raise awareness regarding child mental health care particularly autism management and interventions can be implemented as these can promote positive attitude toward treatment-making parents and caregivers perceive the need for treatment, allowing them to be mindful that there are effective treatment approaches to autism, and equipping them with the necessary knowledge and skills that can be applied in child care. Integrating the quantitative findings with the qualitative data on the perception of alliances, therapists can a) focus on tasks and goals for parents by treating them as working partners (e.g., regularly updating them with progress reports and upgrade or modification of treatment plan) and b) focus on formation of bond for caregivers by being supportive allies in therapy (e.g., providing constant emotional support, appreciating their efforts while teaching). Aside from treatment attitude, treatment compliance was revealed to be an additional significant predictor of both parent-rated and caregiver-rated alliance with therapist. The set of predictors involving both attitude and compliance makes a better model than either attitude alone or compliance alone. This makes sense because according to the literature, a positive attitude toward treatment makes parents and caregivers trust the therapist and become more likely to comply with treatment recommendations which then leads to stronger alliance (Accurso, 2012;Hoagwood, 2005;Myers, 2008).
Based on the qualitative data, parents and caregivers are more likely to comply if they have time and opportunities to practice the skills taught in therapy. Therefore, therapists are encouraged to create a simple yet effective home program from which parents and caregivers can easily follow and would not take too much time preparing or doing. As a result, parents and caregivers will not have difficulty complying and will be more likely to implement the program consistently. In case problems arise in terms of complying with the treatment recommendations (e.g., having difficulty implementing the program or lack of time in carrying out the assigned tasks), the parents and caregivers are encouraged to communicate with the therapists and vice versa in order to make the necessary adjustments to the program and formulate the best schedule or time allotment as to when and how they can implement the program at home (Menahem & Halasz, 2000).
It is interesting to note that neither the level of parental and caregiver stress nor their perceived severity of the child's condition came out to be significant predictors of the alliance with therapist-contrary to the findings of Broggi and Sabatelli (2010) and Rone-Adams et al. (2004). This only means that regardless of the stress experienced by parents and caregivers and no matter how severe they perceive the child's condition to be, they are still capable of forming strong alliance with the child's therapist. This implies hope and optimism for therapists in their efforts to build healthy relationships with parents and caregivers of children with autism.
With respect to the parent-caregiver alliance, the qualitative data revealed that parents perceive the working relationship on the basis of how confident they are with the caregiver's skills. This information can be tied with what was revealed earlier about caregiver-therapist alliance and caregiver's attitude toward treatment. If caregivers are given the opportunity to be equipped with the necessary skills and knowledge in taking care of the child, thus enhancing positive attitude toward treatment, then it will not only facilitate the formation of caregiver-therapist alliance, but also the formation of the parent-caregiver alliance. On the other hand, for the caregivers, they perceive the working relationship with parents based on how supportive the parents are. This can be connected to the results of the regression models-with parental and caregiver stress as a negative predictor of their alliance. Experiencing a great deal of stress may compromise the quality of their relationship. Stress as an influential factor in the development of alliance between parents and caregivers was also confirmed in a previous study (Rabideau, 2017), stating that high levels of stress compromises the quality of working relationship between parents and caregivers of children with disabilities.
Based on the qualitative data, the parental stress is mainly about feelings of being limited or restricted as a consequence of parenting. This result is related to the study discovered by Sullivan (2011), stating that the main source of stress for parents of children with autism was the emotional strain experienced by the family. To overcome this problem, a family therapy may be advised to provide opportunity for parents to discuss their concerns and work on minimizing the burden of parenting.
For the caregivers, it is obvious that their occupation takes a toll on their health and well-being. The qualitative data revealed that the caregiver stress is about the physical exhaustion experienced by the caregivers. This supports the results of the study done by Kheir et al. (2012) stating that caregiver stress is mainly due to the psychosocial burden and lack of support associated with taking care of the child with autism. To address this, parents are encouraged to be aware and sensitive of the possible burn-out or strain experienced by caregivers and be able to provide the support that they need-e.g., allowing day-offs, delegating tasks, or reducing the workload.
It is very clear that there are multiple points of entry that care providers such as parents, caregivers, and therapists can utilize in order build and maintain healthy alliances. Furthermore, these findings support the idea that a systemic approach to therapeutic alliance involves a therapeutic benefit not only for the child, but for the care providers as well.

Limitations
There are several limitations to this study that warrant the need for further investigation and expansion of this topic. First, in terms of the sample demographic, most of the parent respondents are mothers. It would be interesting to include more fathers in the system. A lot of barriers exist in terms of engaging fathers in coparenting responsibility and parenting interventions (Panter-Brick et al., 2014). Thus, paternal perspectives in terms of building alliances with therapists and caregivers are as essential. Moreover, the parents that were recruited in this study belong to the middle to high socioeconomic group due to the financial demand of hiring a caregiver and investing in therapy. It would then be interesting to compare middle-to high-income families who can hire a caregiver and low-income families who can only afford to have a relative or kin as their caregiver. Finally, the parent-caregiver dyads who participated in this study reported certain number of years in therapy and caregiving (M = 7.30 and M = 9.85, respectively). This long duration in both therapy and caregiving may have contributed to the mostly reported positive alliance with therapists and positive alliance between parents and caregivers. This study is limited in establishing patterns of alliances that were already present (characterized by high ratings of alliances) in the first place. It would also be interesting to look at factors influencing early alliance (characterized by low ratings of alliances). It is also worth noting that some caregiver participants are already working for the family before the child (with ASD) was born while there are some who just started working for the family years after the child (with ASD) was born. The former implies an existing working relationship between parents and caregivers that may be distinct from the latter. This within-group variability was not addressed in the study.
Second, in terms of the study design, therapeutic alliance was measured in a crosssectional manner. The concept of therapeutic alliance is an evolving process that necessitates continuous measurement over time (Karam et al., 2015). Therefore, further studies are recommended to make use of longitudinal approaches in quantifying therapeutic alliance and see if the scores on therapeutic alliance and factors associated with it vary across time. The stages of change from the establishment, strengthening, to maintenance, rupture, and repair of alliance may be captured using this approach.
Third, there is a need for more culturally appropriate measures for caregivers, specifically for paid caregivers. For instance, the Parent-Caregiver Relationship Scale was developed to measure alliance between parents and caregivers. It was initially administered to parents and non-paid caregivers of children. Although it has already been used for professional caregivers (Elicker et al., 1997), there are items in the scale that may not be applicable in the context of paid caregivers in the Philippines.
Lastly, the regression models in the study still have a certain amount of variance unaccounted for. This only means that there are still other potential variables (mediating or predictors) not included in the study that may contribute to therapeutic alliance. Further expansion of the qualitative phase of the study may be able to capture other potential factors influencing the different forms of alliances.

Directions for future research
The study began investigating the components of the secondary system of therapeutic alliance from the perspective of parents and caregivers through understanding their treatment attitude, treatment compliance, and level of stress. Since three factors that are significantly associated with therapeutic alliance have been identified, future studies should include exploration of other variables related to these factors that can be added to the model. Furthermore, proposals for interventions with regard to increasing treatment attitude and compliance and reducing stress levels are interesting areas for future research because these may help in promoting alliances among parents, caregivers, and therapists.
Future studies on including the perspectives of other agents involved in the child's system of care (other relatives, school teachers, physicians, etc.) are recommended as these people are also part of the secondary or probably higher-order system of therapeutic alliance. The expansion of the model can provide additional information and other points of entry for building alliances among care providers of children with autism.

Conclusion
A great deal of research studies would support that therapeutic outcome is a function of therapeutic alliance. Furthermore, a systemic approach in looking at therapeutic alliance is essential in capturing the therapeutic processes involved in child psychotherapy, particularly in interventions for children with autism.
Children with autism live in a multi-system environment, surrounded by multiple providers of care. In order to ensure the quality of childcare, strong alliances among these care providers must be established and maintained. In working with children with autism, there are three people mostly involved in the child's system of care: the child's parents, the caregivers, and the therapists. Among these three, the parents and caregivers spend most of the time taking care of the child. So, their perspectives with regard to how they perceive and establish therapeutic alliance can be utilized to encourage including alliance-building as part of the treatment program in the context of autism management.
Positive attitude toward treatment and positive compliance were identified as significant factors influencing the development of a healthy alliance of parents and caregivers with the child's therapist. Moreover, high levels of stress can interfere in the relationship between parents and caregivers.
This research study highlights the importance of the attitudes, behaviors, and experiences of parents and caregivers of children with autism. The conceptual framework based on the findings of this study can provide information for therapists, parents, and caregivers to utilize these factors and know where to invest efforts in building alliances with one another. This study advocates the concept of secondary therapeutic alliance that is not only therapeutic for the child (receiver of care) but also beneficial for the providers of care.
Nonetheless, this exploratory study calls for future studies that may continue to build into the factors influencing the systemic therapeutic alliance and implementation of intervention programs that may target issues relating to attitude toward treatment, compliance to treatment, and experience of stress and how they relate to either strengthening or weakening of therapeutic alliance.
Additional file 1.: Table S1. Mean scores, standard deviations, skewness, and kurtosis for scale variables (n = 124). Table S2. Hierarchical regression predicting parent-rated alliance with therapist with treatment attitude, treatment compliance, parental stress, and perceived ASD severity. Table S3. Hierarchical regression predicting caregiver-rated alliance with therapist with treatment attitude, treatment compliance, parental stress, and perceived ASD severity. Table S4. Hierarchical regression predicting parent-rated alliance with caregiver with parental stress and perceived ASD severity. Table S5. Hierarchical regression predicting caregiver-rated alliance with parent with caregiver stress and perceived ASD severity