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Psychometric validation of the audio-guided rBVQ instrument for bullying evaluation among students

Validação Psicométrica do Instrumento Áudio-Guiado rBVQ para Avaliação de Bullying

Validación psicométrica del instrumento audio guiado rBVQ para la evaluación del bullying

Abstract

The revised Olweus Bully/Victim Questionnaire (rBVQ) is an internationally used instrument to identify bullying, but due to Brazilian students’ low proficiency in reading and writing, it had to be adapted for audio-guided use through smartphones. We investigated construct validity, using Confirmatory Factor Analysis (CFA), under a two-correlated factor solution. Participated 1,742 fifth graders and 2,316 seventh graders from 30 public schools in the city of São Paulo. We found excellent fit indices models for both grades (fifth grade: CFI=0.985, RMSEA=0.020; seventh grade: CFI=0.990, RMSEA=0.015), as well as factor loading higher than 0.4 for all items, indicating their relevance to the construct. The rBVQ demonstrated excellent psychometric properties and may help future studies that aim to investigate bullying in populations with similar profiles. In addition, this study innovates by evaluating an audio-guided instrument and using mobile technology.

Keywords:
School violence; test validity; victimization; conflict; aggressive behavior

Resumo

O Questionário revisado de bullying de Olweus (rBVQ) é um instrumento internacionalmente utilizado para identificar bullying, mas devido às dificuldades de estudantes brasileiros na leitura e escrita, foi adaptado para uso áudio-guiado em smartphones. Investigou-se a validade do construto por meio de análise confirmatória fatorial em uma solução de dois fatores. Participaram 1742 e 2316 alunos de quintos e sétimos anos de trinta escolas públicas de São Paulo. Encontrou-se excelentes índices de adequação para ambos os anos escolares (quintos: CFI = 0,985; RMSEA = 0,020; sétimos: CFI = 0,990; RMSEA = 0,015) e cargas fatoriais maiores que 0,4 para todos os itens, indicando sua relevância para o construto. O rBVQ demonstrou excelentes propriedades psicométricas e pode ajudar estudos futuros que objetivam investigar bullying em populações com perfis semelhantes. Além disso, este estudo inova por avaliar um instrumento áudio-guiado e utilizando tecnologia móvel.

Palavras-chave:
violência escolar; validade do teste; vitimização; conflito; comportamento agressivo

Resumen

El Cuestionario Revisado de Bullying de Olweus (rBVQ) es un instrumento utilizado internacionalmente para identificar bullying, pero debido a las dificultades de estudiantes brasileños en la lectura y la escritura, se ha adaptado su uso por medio de audioguías en smartphones. Se investigó la validez del constructo mediante el Análisis Factorial Confirmatorio, bajo un modelo de dos factores. Participaron 1742 y 2316 estudiantes de quinto y séptimo curso de 30 escuelas públicas de São Paulo. Excelentes tasas de adecuación fueron encontradas para ambos casos (quinto año: CFI=0,985, RMSEA=0,020; séptimo año: CFI=0,990, RMSEA=0,015), además de cargas factoriales superiores a 0,4 para todos los ítems, lo que indica su relevancia para el constructo. El instrumento rBVQ ha presentado excelentes propiedades psicométricas y puede ayudar a futuros estudios pretendan investigar el bullying en poblaciones con perfiles similares. Además, este estudio innova al evaluar un instrumento guiado por audio, empleando la tecnología móvil.

Palabras clave:
Violencia escolar; validez de la prueba; victimización; conflicto; comportamiento agresivo

Introduction

The school environment constitutes more than a space for knowledge and the exercise of ethics and reason, it has also been characterized as a place of proliferation of violence and depredation (Giordani et al., 2017Giordani, J. P., Seffner, F., & Dell’Aglio, D. D. (2017). Violência escolar: percepções de alunos e professores de uma escola pública. Psicologia Escolar e Educacional, 21(1), 103-111.). Among the types of school violence, bullying has gained interest in the media and academic research due to its negative consequences. For (Olweus, 1994Olweus, D. (1994). Bullying at School (pp. 97-130). https://doi.org/10.1007/978-1-4757-9116-7_5
https://doi.org/10.1007/978-1-4757-9116-...
), bullying differs from other forms of violence because it occurs repeatedly, among peers and with power asymmetry. Studies have shown the impacts of bullying on the mental health of those involved in it (Arseneault, 2018Arseneault, L. (2018). Annual Research Review: The persistent and pervasive impact of being bullied in childhood and adolescence: implications for policy and practice. Journal of Child Psychology and Psychiatry, 59(4), 405-421. https://doi.org/10.1111/jcpp.12841
https://doi.org/10.1111/jcpp.12841...
; Moore et al., 2017Moore, S. E., Norman, R. E., Suetani, S., Thomas, H. J., Sly, P. D., & Scott, J. G. (2017). Consequences of bullying victimization in childhood and adolescence: A systematic review and meta-analysis. World Journal of Psychiatry, 7(1), 60. https://doi.org/10.5498/wjp.v7.i1.60
https://doi.org/10.5498/wjp.v7.i1.60...
) and, although both victims and perpetrators suffer from the results of this violence, victims are at greater risk of developing mental disorders such as depression and anxiety (Strohacker et al., 2019Strohacker, E., Wright, L. E., & Watts, S. J. (2019). Gender, Bullying Victimization, Depressive Symptoms, and Suicidality. International Journal of Offender Therapy and Comparative Criminology, 0306624X1989596. https://doi.org/10.1177/0306624X19895964
https://doi.org/10.1177/0306624X19895964...
), social phobia (Wu et al., 2016Wu, W.-C., Luu, S., & Luh, D.-L. (2016). Defending behaviors, bullying roles, and their associations with mental health in junior high school students: a population-based study. BMC Public Health, 16(1), 1066. https://doi.org/10.1186/s12889-016-3721-6
https://doi.org/10.1186/s12889-016-3721-...
), and eating disorders (Lie et al., 2019Lie, S. Ø., Rø, Ø., & Bang, L. (2019). Is bullying and teasing associated with eating disorders? A systematic review and meta-analysis. International Journal of Eating Disorders, 52(5), 497-514. https://doi.org/10.1002/eat.23035
https://doi.org/10.1002/eat.23035...
), as well as other more severe disorders such as self-harm behavior, psychotic symptoms and suicidal ideation (Strohacker et al. 2019Strohacker, E., Wright, L. E., & Watts, S. J. (2019). Gender, Bullying Victimization, Depressive Symptoms, and Suicidality. International Journal of Offender Therapy and Comparative Criminology, 0306624X1989596. https://doi.org/10.1177/0306624X19895964
https://doi.org/10.1177/0306624X19895964...
).

Bullying prevalence varies according to country, age, gender and method used in its estimation. Biswas et al. (2020Biswas, T., Scott, J. G., Munir, K., Thomas, H. J., Huda, M. M., Hasan, M. M., de Vries, T. D., Baxter, J., & Mamun, A. A. (2020). Global variation in the prevalence of bullying victimisation amongst adolescents: Role of peer and parental supports. EClinicalMedicine, 100276.) investigated bullying victimization among school children (aged 12-17 years) across 83 countries, and found a pooled prevalence of 31%. The highest prevalence was observed in the Eastern Mediterranean (45.1%) and African (43.5%) regions, and the lowest in Europe (8.4%). According Cook et al. (2010Cook, C. R., Williams, K. R., Guerra, N. G., & Kim, T. E. (2010). Variability in the prevalence of bullying and victimization: A cross-national and methodological analysis. In Handbook of bullying in schools: An international perspective.), the estimated prevalence of bullying victimization among children and adolescents aged 3 to 18 years old was 20.9% in South Africa, 31.5% in Canada, 21.5% in the United States, 16.8% in Finland, 15.5% in France, 23.9% in England, 10.4% in Japan, 42.5% in New Zealand and 6.7% in Switzerland. In Brazil, Malta et al. (2019Malta, D. C., Mello, F. C. M. de, Prado, R. R. do, Sá, A. C. M. G. N. de, Marinho, F., Pinto, I. V., Silva, M. M. A. da, & Silva, M. A. I. (2019). Prevalência de bullying e fatores associados em escolares brasileiros, 2015. Ciência & Saúde Coletiva, 24(4), 1359-1368. https://doi.org/10.1590/1413-81232018244.15492017
https://doi.org/10.1590/1413-81232018244...
) found that 7.4% of 9th grade students had been bullied during the month prior to data collection.

Considered a public health issue, in 2015 Brazilian legislation recognized bullying as described by Olweus, and instituted the bullying prevention program “Systematic Bullying Combat Program” (Federal Brazilian Law 13.185Lei No 13.185, de 6 de novembro de 2015. Institui o Programa de Combate à Intimidação Sistemática (Bullying), Pub. L. No. Diário Oficial da União, 152(213) (2015). http://www.planalto.gov.br/ccivil_03/_ato2015-2018/2015/lei/l13185.htm
http://www.planalto.gov.br/ccivil_03/_at...
), which, among other actions, requires that educational establishments promote bullying awareness and prevention measures. Thus, instruments capable of detecting bullying instances are necessary, not only in screening situations but also in evaluating the efficacy or effectiveness of school interventions. Self-report questionnaires are the most used instruments for measuring bullying and evaluating the success of bullying prevention programs in epidemiological studies of behaviors (Gonçalves et al., 2016Gonçalves, F. G., Heldt, E., Peixoto, B. N., Rodrigues, G. A., Filipetto, M., & Guimarães, L. S. P. (2016). Construct validity and reliability of Olweus bully/victim questionnaire-Brazilian version. Psicologia: Reflexão e Crítica, 29(1), 27.).

Although on the rise, internal assessments by the Brazilian Ministry of Education show inequalities in reading proficiency between public and private schools, as well as other socioeconomic factors, including ethnic and racial issues (INEP, 2018INEP - Instituto Nacional de Estudos e Pesquisas Educacionais Anísio Teixeira. (2018). Relatório SAEB (ANEB e ANRESC) 2005-2015: panorama da década., 2019INEP - Instituto Nacional de Estudos e Pesquisas Educacionais Anísio Teixeira. (2019). Relatório Saeb 2017. http://portal.inep.gov.br/documents/186968/484421/RELATÓRIO+SAEB+2017/fef63936-8002-43b6-b741-4ac9ff39338f?version=1.0
http://portal.inep.gov.br/documents/1869...
; Menezes et al., 2016Menezes, I. G., Duran, V. R., Mendonça Filho, E. J., Veloso, T. J., Sarmento, S. M. S., Paget, C. L., & Ruggeri, K. (2016). Policy Implications of Achievement Testing Using Multilevel Models: The Case of Brazilian Elementary Schools. Frontiers in Psychology, 7. https://doi.org/10.3389/fpsyg.2016.01727
https://doi.org/10.3389/fpsyg.2016.01727...
). In international evaluations such as the Program for International Student Assessment - PISA, which assesses how prepared young people are to act as citizens in contemporary society, Brazil performs below the average of the 35 countries that make up the Organization for Economic Cooperation and Development (OECD, 2019OECD. (2019). Programme for International Student Assessment (PISA) - Results from PISA 2018.). Therefore, an instrument validated in Portuguese for use in Brazilian schools should have properties that allow a good performance in these different scenarios, since most of the students are not able to read at the age of 10 (Lima & Ciasca, 2018Lima, N., & Ciasca, M. I. (2018). ANA AND PROOF BRAZIL (5TH YEAR): WHAT DOES THE RESULTS REVEAL IN PORTUGUESE LANGUAGE. Educação & Linguagem, 43-60.). Given the difficulties in locating and accessing such instruments, it became another issue for researchers working with Brazilian students.

Widely used due to its interpretability and reproducibility (Solberg & Olweus, 2003Solberg, M. E., & Olweus, D. (2003). Prevalence estimation of school bullying with the Olweus Bully/Victim Questionnaire. Aggressive Behavior, 29(3), 239-268. https://doi.org/10.1002/ab.10047
https://doi.org/10.1002/ab.10047...
) and its well-defined psychometric properties in different countries (Guilheri et al., 2015Guilheri, J., Cogo-Moreira, H., Kubiszewski, V., Yazigi, L., & Andronikof, A. (2015). Validité de construit du questionnaire rBVQ d’Olweus pour l’évaluation du harcèlement scolaire ( bullying ) auprès d’élèves français de cycle 3. Neuropsychiatrie de l’Enfance et de l’Adolescence, 63(4), 211-217. https://doi.org/10.1016/j.neurenf.2015.01.010
https://doi.org/10.1016/j.neurenf.2015.0...
; Kyriakides et al., 2006Kyriakides, L., Kaloyirou, C., & Lindsay, G. (2006). An analysis of the Revised Olweus Bully/Victim Questionnaire using the Rasch measurement model. British Journal of Educational Psychology, 76(4), 781-801. https://doi.org/10.1348/000709905X53499
https://doi.org/10.1348/000709905X53499...
), the revised Olweus Bully/Victim questionnaire - rBVQ (Solberg & Olweus, 2003Solberg, M. E., & Olweus, D. (2003). Prevalence estimation of school bullying with the Olweus Bully/Victim Questionnaire. Aggressive Behavior, 29(3), 239-268. https://doi.org/10.1002/ab.10047
https://doi.org/10.1002/ab.10047...
) emerges as an option in this context, as it has already been validated in Brazilian Portuguese by Guilheri (2016Guilheri, J. (2016). Jogos de asfixia, jogos de agressão, bullying em contexto escolarEstudo transcultural França-Brasil com escolares de 9-12 anos. Universidade Federal de São Paulo.) .

The questionnaire presents a detailed description of bullying followed by two blocks of questions, one about victimization (being bullied) and another about perpetration (bullying others). Each block has a global question about frequency of the episodes and seven other specific questions about types of bullying suffered or practiced (from verbal insults to physical aggression and racist motivations). The questionnaire addresses several other variables found to be related to the global ones: social disintegration, negative self-esteem, and depressive tendencies is related to being bullied, while aggression and antisocial behavior is related to bullying others (Solberg & Olweus, 2003Solberg, M. E., & Olweus, D. (2003). Prevalence estimation of school bullying with the Olweus Bully/Victim Questionnaire. Aggressive Behavior, 29(3), 239-268. https://doi.org/10.1002/ab.10047
https://doi.org/10.1002/ab.10047...
). Respondents who indicate a frequency of two or more times per month in any of the situations, depending on the group of questions, are considered victims, perpetrators or perpetrators-victims (Solberg & Olweus, 2003Solberg, M. E., & Olweus, D. (2003). Prevalence estimation of school bullying with the Olweus Bully/Victim Questionnaire. Aggressive Behavior, 29(3), 239-268. https://doi.org/10.1002/ab.10047
https://doi.org/10.1002/ab.10047...
), the latter being those who concomitantly practice and suffer bullying. Respondents who indicate frequencies below two times a month, for all situations, are considered neutral.

Kyriakides et al. (2006Kyriakides, L., Kaloyirou, C., & Lindsay, G. (2006). An analysis of the Revised Olweus Bully/Victim Questionnaire using the Rasch measurement model. British Journal of Educational Psychology, 76(4), 781-801. https://doi.org/10.1348/000709905X53499
https://doi.org/10.1348/000709905X53499...
) tested validity and reliability of rBVQ using Rasch analysis, and found satisfactory psychometric properties and a high correlation among the factors “being victimized” and “bullying others”. In a cross-cultural study between Brazil and France, Guilheri (2016Guilheri, J. (2016). Jogos de asfixia, jogos de agressão, bullying em contexto escolarEstudo transcultural França-Brasil com escolares de 9-12 anos. Universidade Federal de São Paulo.) carried out the validation for the French and Brazilian versions of the rBVQ and found that both have one-dimensional items with factor loads above 0.32; according to Kaiser’s criterion, Bullying is constituted by two factors (“Victim” and “Aggressor”) with a moderate correlation between them. Regarding the invariancy test, both versions showed no significant difference between genders, that is, for both the French and the Brazilian versions, boys and girls understand and respond to the instrument similarly.

Although rBVQ has been validated in Brazil by Guilheri (2016Guilheri, J. (2016). Jogos de asfixia, jogos de agressão, bullying em contexto escolarEstudo transcultural França-Brasil com escolares de 9-12 anos. Universidade Federal de São Paulo.), the sample consisted of non-socioeconomically vulnerable students, data were collected by a paper-and-pencil questionnaire, and was not published in a peer reviewed journal. As such, we still need to provide evidence of validity based on the internal structure of an audio-guided rBVQ for bullying victimization and perpetration assessment among students of lower socioeconomic status in public schools. The aim of this study was to investigate construct validity and test invariance, using Confirmatory Factor Analysis, of the two-correlated factor solution (bullying victimization and perpetration) for the audio-guided rBVQ scale across fifth and seventh graders in public schools in Brazil. It is also important to highlight that the instrument validated in this study will be used to evaluate the effects of the Keepin’ it REAL (KiR) program in preventing the bullying perpetration and victimization. Although several studies have evaluated the effects of KiR on substance use (Kulis et al. 2019Kulis, S. S., Marsiglia, F. F., Porta, M., Avalos, M. R. A., & Ayers, S. L. (2019). Testing the Keepin’it REAL substance use prevention curriculum among early adolescents in Guatemala city. Prevention Science, 20(4), 532-543.) and the need of a multicultural adaptation (Hecht et al., 2018Hecht, M. L., Shin, Y., Pettigrew, J., Miller-Day, M., & Krieger, J. L. (2018). Designed Cultural Adaptation and Delivery Quality in Rural Substance Use Prevention: an Effectiveness Trial for the Keepin’ it REAL Curriculum. Prevention Science, 19(8), 1008-1018. https://doi.org/10.1007/s11121-018-0937-y
https://doi.org/10.1007/s11121-018-0937-...
), none of the existing studies have evaluated the effects of the program on bullying.

Methods

This study used the baseline assessment (i.e., pre-intervention) of a cluster randomized controlled trial (RCT) that evaluated a school-based drug and violence prevention program, named PROERD (Educational Program of Drug and Violence Resistance), among fifth and seventh graders of 30 public schools in São Paulo.

Participants

In total, 1,742 fifth graders [51.21% male, average age = 10.12 years old, standard deviation (SD) = 0.65], and 2,316 seventh graders [51.49% male, average age = 12.27, SD = 0.72], from 30 public schools of São Paulo, Brazil, participated in the study. The schools were randomly selected from those that did not receive PROERD in the last 3 years. A second allocation determined whether each school would be assigned to the control or intervention group according to a random list. All fifth and seventh graders of each of the selected schools contributed to the study, and all students present participated on data collection. All schools were located in regions far from the urban centers and considered to be of low economic and social development. Due to scale misunderstanding, socio-economic status (SES) was assessed only in the seventh grade [39.65% A-B, 53.61% C, and 6.74% D-E]. Students with intellectual disability or cognitive delay were appointed by the school and received a special code to exclusion in this study.

Since the PROERD curricula is designed for different grades and two different age ranges were targeted (fifth and seventh grade), two different sample sizes were calculated to evaluate the effect of PROERD.

For the fifth grade, the required sample size calculated was 1,820 participants (70 per group) for a power of 80%, a significance level of 5%, 0.3 effect size and 0.02 interclass correlation (Ahn et al., 2014Ahn, C., Heo, M., & Zhang, S. (2014). Sample size calculations for clustered and longitudinal outcomes in clinical research. CRC Press.). Considering a 25% participant loss, the sample needed to include 2,340 participants. The parameters used were based on the bullying instrument (Guilheri, 2016Guilheri, J. (2016). Jogos de asfixia, jogos de agressão, bullying em contexto escolarEstudo transcultural França-Brasil com escolares de 9-12 anos. Universidade Federal de São Paulo.) and the results of a randomized controlled trial (Sanchez et al., 2017Sanchez, Z. M., Valente, J. Y., Sanudo, A., Pereira, A. P. D., Cruz, J. I., Schneider, D., & Andreoni, S. (2017). The #Tamojunto Drug Prevention Program in Brazilian Schools: a Randomized Controlled Trial. Prevention Science, 18(7), 772-782. https://doi.org/10.1007/s11121-017-0770-8
https://doi.org/10.1007/s11121-017-0770-...
).

Regarding the seventh grade, based on Donner & Klar (2010Donner, A., & Klar, N. (2010). Design and Analysis of Cluster Randomization Trials in Health Research (1st ed.). Wiley.), the minimum required sample size calculated was 1,608 participants (67 per group) for a power of 80%, a significance level of 5%, difference of proportions of 7% and 0.02 interclass correlation. Also considering a 25% participant loss, the sample needed to include 2,160 participants. The parameters used were based on the results of a study by the KiR USA (Marsiglia et al., 2011Marsiglia, F. F., Kulis, S., Yabiku, S. T., Nieri, T. A., & Coleman, E. (2011). When to Intervene: Elementary School, Middle School or Both? Effects of keepin’ It REAL on Substance Use Trajectories of Mexican Heritage Youth. Prevention Science, 12(1), 48-62. https://doi.org/10.1007/s11121-010-0189-y
https://doi.org/10.1007/s11121-010-0189-...
).

Instrument

An original translated version of rBVQ (Guilheri, 2016Guilheri, J. (2016). Jogos de asfixia, jogos de agressão, bullying em contexto escolarEstudo transcultural França-Brasil com escolares de 9-12 anos. Universidade Federal de São Paulo.) was applied in our pilot study, which revealed some difficulties and problems during data collection among fifth graders: their lack of proficiency in reading hindered understanding the different categories of answers per item. rBVQ has seven questions to identify different bullying situations for each type of bullying (victimization or perpetration). The response alternatives for all questions are: “I haven’t bullied/been bullied…,” “only once or twice,” “2 or 3 times a month,” “about once a week,” and ‘‘several times a week”. A student is considered as a victim or a perpetrator if they answer “2 or 3 times a month” or more. For the 7th grade, we used the original translated version (Guilheri, 2016Guilheri, J. (2016). Jogos de asfixia, jogos de agressão, bullying em contexto escolarEstudo transcultural França-Brasil com escolares de 9-12 anos. Universidade Federal de São Paulo.) adopting the cut point suggested by the authors (Solberg & Olweus, 2003Solberg, M. E., & Olweus, D. (2003). Prevalence estimation of school bullying with the Olweus Bully/Victim Questionnaire. Aggressive Behavior, 29(3), 239-268. https://doi.org/10.1002/ab.10047
https://doi.org/10.1002/ab.10047...
). For the 5th grade a structurally adapted version was necessary, we simplified the frequency, adapting the number of categories of answers per questions by replacing the 5-point scale by binary answers (“yes” or “no”) and included for each specific bullying situation a new question about whether, in addition to happening recently, it also happened in the last year, to ensure that the event was recurrent. Fifth graders were considered bullying victims or perpetrators if they answered any question on each category (victim or perpetrator) for both “recently” and “last year” positively (yes). In order to promote accessibility and enable the participation of students who had reading difficulties, the audio-guided format was adopted for both grades.

Data collection

Data were collected during baseline assessment (data collection prior to the application of the intervention), using an anonymous self-reported audio-guided questionnaire completed by the participants on smartphones, applied by researchers in the classroom, without the teacher present. Using smartphones made participation more enticing and allowed using audios and images to facilitate understanding, making the participation of students with low proficiency in reading and writing possible - a very prevalent problem in Brazilian public schools (OECD, 2019OECD. (2019). Programme for International Student Assessment (PISA) - Results from PISA 2018.). Through smartphones we can also configure the data collection software to skip questions according to student responses and send alerts of incorrect answers. The collected data was sent directly to a cloud database, eliminating having to manually transcribe responses, and so, avoiding transcription errors.

There were two researchers per classroom, and before answering the questionnaire, the students received ethical information about the research and signed a consent form. Students had 50 minutes to answer the instrument individually and anonymously.

Data analysis

Confirmatory Factor Analysis (CFA) was conducted to determine construct validity of the two-correlated factor solution for the rBVQ scale across both samples. One model was tested for the fifth grade and another for the seventh grade.

Invariance testing for gender was performed using the Multigroup Confirmatory Factor Analysis (MGCFA) approach. Both models were estimated with 8.4 (Muthén & Muthén, 2012Muthén, L., & Muthén, B. (2012). Mplus. Seventh edition. In Los Angeles, CA: Muthén & Muthén.) using a weighted least squares with mean and variance adjusted estimator (WLSMV). Due to its multilevel design (children nested in schools), Asparouhov’s (2005Asparouhov, T. (2005). Sampling Weights in Latent Variable Modeling. Structural Equation Modeling: A Multidisciplinary Journal, 12(3), 411-434. https://doi.org/10.1207/s15328007sem1203_4
https://doi.org/10.1207/s15328007sem1203...
, 2006Asparouhov, T. (2006). General Multi-Level Modeling with Sampling Weights. Communications in Statistics - Theory and Methods, 35(3), 439-460. https://doi.org/10.1080/03610920500476598
https://doi.org/10.1080/0361092050047659...
) complex strategy to deal with the non-independence was adopted.

After testing the initial model (i.e., two-correlated factor solution), we performed a sequential strategy for testing measurement invariance, following Meredith’s (1993Meredith, W. (1993). Measurement invariance, factor analysis and factorial invariance. Psychometrika, 58(4), 525-543. https://doi.org/10.1007/BF02294825
https://doi.org/10.1007/BF02294825...
) recommendations. This procedure determines if the meaning of the construct and the difficulty of each individual item was equivalent across genders. These criteria for configural and scalar invariance must be met to compare the groups on the latent variable. As MGCFA involves two separate input matrices, constraining factor loadings and threshold parameters in both groups, it is likely to obtain bivariate empty cells.

A common issue when variables have low prevalence rates, empty cells generate statistically perfect correlations between two items, meaning that they are statistically indistinguishable, and, for analysis purpose, one should be removed. Thus, where empty cells appeared, we excluded one of the items to maintain the maximum possible number of original items for both victim and aggressor factors.

First, we tested if the factor structure was similar between groups (i.e., configural invariance). For model fit and adjustment index, we adopted the chi-squared statistic (χ2), the 90% CI of the root mean square error of approximation (RMSEA), the comparative fit index (CFI), and the Tucker-Lewis Index (TLI). To interpret these indices, we followed Hu and Bentler’s (2009Bentler, P. M. (2009). Alpha, Dimension-Free, and Model-Based Internal Consistency Reliability. Psychometrika, 74(1), 137-143. https://doi.org/10.1007/s11336-008-9100-1
https://doi.org/10.1007/s11336-008-9100-...
) recommendations: an adequate model fit is indicated by p > 0.05 for the χ2, RMSEA ≤ 0.06, CFI ≥ 0.95, and TLI ≥ 0.95. Then, we tested if the item thresholds and factor loadings were equivalent between groups (i.e., scalar invariance).

To provide evidence of scalar versus configural invariance, we systematically tested whether imposing restrictions (i.e., if the discrimination and difficulty parameters are equal across genders) did not worsen the model compared with the less constrained model wherein the parameter was freely estimated (Chen, 2007Chen, F. F. (2007). Sensitivity of Goodness of Fit Indexes to Lack of Measurement Invariance. Structural Equation Modeling: A Multidisciplinary Journal , 14(3), 464-504. https://doi.org/10.1080/10705510701301834
https://doi.org/10.1080/1070551070130183...
). The main focus of the invariance testing was to achieve scalar level (strong invariance), as it is a prerequisite for mean comparison between groups (Vandenberg & Lance, 2000Vandenberg, R. J., & Lance, C. E. (2000). A Review and Synthesis of the Measurement Invariance Literature: Suggestions, Practices, and Recommendations for Organizational Research. Organizational Research Methods, 3(1), 4-70. https://doi.org/10.1177/109442810031002
https://doi.org/10.1177/109442810031002...
). We also provide evidences regarding strict invariance, where restrictions are imposed to residual levels, being therefore, the next hierarchical restriction after scalar invariance. As χ2 statistic is highly sensitive to sample size, we considered that the added restrictions did not worsen the model if ∆CFIs of the free and constrained models differed by less than 0.01 (Cheung & Rensvold, 2002Cheung, G. W., & Rensvold, R. B. (2002). Evaluating Goodness-of-Fit Indexes for Testing Measurement Invariance. Structural Equation Modeling: A Multidisciplinary Journal , 9(2), 233-255. https://doi.org/10.1207/S15328007SEM0902_5
https://doi.org/10.1207/S15328007SEM0902...
), and if the change in RMSEA between models was less than 0.015.

Lastly, we calculated reliabilities for the two latent factors within each grade (and their confidences intervals estimated via 200-bootstrapped interactions [Kelley and Pornprasertmanit, 2016Kelley, K., & Pornprasertmanit, S. (2016). Confidence intervals for population reliability coefficients: Evaluation of methods, recommendations, and software for composite measures. Psychological Methods , 21(1), 69-92. https://doi.org/10.1037/a0040086
https://doi.org/10.1037/a0040086...
]) using Green and Yang’s (2009Green, S. B., & Yang, Y. (2009). Reliability of Summed Item Scores Using Structural Equation Modeling: An Alternative to Coefficient Alpha. Psychometrika, 74(1), 155-167. https://doi.org/10.1007/s11336-008-9099-3
https://doi.org/10.1007/s11336-008-9099-...
) proposed index.

Ethical procedures

The study protocol was approved by the Universidade Federal de São Paulo’s Research Ethics Committee (n:1327/2018), and the RCT was registered at the Brazilian Ministry of Health Register of Clinical Trials (REBEC), under protocol no. 6q23nk. Before data collection, the school principal received an informed consent form, consonant with the research, and participants also consented to participate by signing the assent form.

Results

The models fit indices showed excellent performance for both grades (Table 1); for both grades, the factor loading for all items were higher than 0.4, indicating their relevance to the construct (Table 2).

Table 1
Fit indices of bullying scale for fifth and seventh graders
Table 2
Standardized factor loadings of two-correlated factor solution of bullying scale for fifth and seventh graders

As the configural model returned good fit index, we investigated scalar invariance by holding the factor loadings and thresholds of items equal between the groups. Both samples had one item removed due to low prevalence causing empty cells (namely, “I threatened or forced someone to do things that he or she didn’t want to do” in fifth grade, and “I got money or other things or I purposefully damaged his or her belongings”, in seventh grade) (Table 3).

Table 3
Multigroup Confirmatory Factor Analysis (MGCFA) of bullying scale for fifth and seventh graders

The scalar versus configural invariance via chi-square difference test showed that only the seventh grade sample remained constant after the restriction: bullying [fifth graders: χ2 (diff)(9) = 40.359, p = <0.0001; seventh graders: χ2 (diff)(9) = 9.518, p = 0.3909]. Under invariance testing using ∆CFI and ∆RMSEA, however, we achieved scalar invariance for both samples [fifth graders: ∆CFI = 0.007, ∆RMSEA = 0.003; seventh graders: ∆CFI = 0.001, ∆RMSEA = 0.001]. As the minimum invariance level required to directly compare the means between groups was achieved by these latter criteria, and the chi-square testing difference is sensitive to large sampling, the mean in the latent traits could be compared in both models and samples between genders. Strict invariance testing returned the following model fit: for fifth grade, ∆MSEA = 0.025 and CFI = 0.976; for seventh grade, ∆MSEA = 0.015 and CFI = 0.991. Comparing the scalar models with the strict invariance, for both grades, the imposed restriction at residual levels did not worsen the models fit.

As for reliabilities, the fifth grade returned victim factor = 0.759 (95% bootstrapped confidence interval [95%BootCI] = 0.739 to 0.785) and perpetrator factor = 0.720 (95%BootCI = 0.670 to 0.784); the seventh grade returned victim factor = 0.763 (95%BootCI = 0.734 to 0.797) and perpetrator factor = 0.775 (95%BootCI = 0.712 to 0.845).

Discussion

This study used CFA to investigate construct validity of the two-correlated factor solution for the audio-guided rBVQ scale across fifth and seventh graders in Brazilian public schools. For seventh graders, we used the original translated version of the instrument without the general questions; for fifth graders, we needed to fully adapt the questionnaire, as specified in the method section, due to the students’ reading and comprehension difficulties. We found excellent fit indices for both grades, and all items were relevant for the construct, with factor loading higher than 0.4.

In Brazil, bullying discussion is still recent and lacks tools with well-defined evidences of psychometric properties to assess this construct, which is essential to estimate bullying prevalence and its associated factors. International questionnaires such as Peer Assessment (Rubin et al., 2007Rubin, K. H., Bukowski, W. M., & Parker, J. G. (2007). Peer Interactions, Relationships, and Groups. In Handbook of Child Psychology. John Wiley & Sons, Inc. https://doi.org/10.1002/9780470147658.chpsy0310
https://doi.org/10.1002/9780470147658.ch...
), Behavior in School-aged Children survey (HBSC) (Currie et al., 1997Currie, C. E., Elton, R. A., Todd, J., & Platt, S. (1997). Indicators of socioeconomic status for adolescents: the WHO Health Behaviour in School-aged Children Survey. Health Education Research, 12(3), 385-397. https://doi.org/10.1093/her/12.3.385
https://doi.org/10.1093/her/12.3.385...
), Conduct Disorder Questions (Rutter et al., 1988Rutter, M., Olweus, D., Block, J., & Radke-Yarrow, M. (1988). Development of Antisocial and Prosocial Behavior: Research, Theories, and Issues. Contemporary Sociology, 17(2), 252. https://doi.org/10.2307/2070637
https://doi.org/10.2307/2070637...
) and Kidscape (Elliott & Kilpatrick, 1994Elliott, M., & Kilpatrick, J. (1994). How to Stop Bullying: A Kidscape Training Guide. Kidscape.) have been translated to Brazilian Portuguese, but studies have yet to describe their psychometric features and adequacy for our population, limiting research on bullying in the Brazilian context. In a study reviewing 25 Brazilian articles, Alckmin-carvalho & Izbicki (2014Alckmin-carvalho, F., & Izbicki, S. (2014). Estratégias e instrumentospara a identificação de bullyingem estudos nacionais. Avaliação Psicológica, 13(3), 343-350.) concluded that the lack of validated instruments for bullying assessment is an important methodological limitation for studies in Brazil, with bullying being identified, in most studies, by questionnaires developed by the researchers or by instruments not yet validated for the Brazilian population. For instance, when performing the National Adolescent School-based Health Survey (PeNSE), Malta and colleagues (2014Malta, D. C., Porto, D. L., Crespo, C. D., Silva, M. M. A., Andrade, S. S. C. de, Mello, F. C. M. de, Monteiro, R., & Silva, M. A. I. (2014). Bullying em escolares brasileiros: análise da Pesquisa Nacional de Saúde do Escolar (PeNSE 2012). Revista Brasileira de Epidemiologia, 17, 92-105.) assessed bullying by asking only three questions: “In the past 30 days, how often did your school colleagues treat you well and/or were thoughtful to you?”, “In the past 30 days, how often did any of your colleagues bring you down, made fun of you, mock you?”, and “In the past 30 days, did you bring down, mock, intimate or tease any of your school colleagues, so that the person was hurt, annoyed, offended or humiliated?”. Considering the complexity of bullying episodes, it is reasonable to question if only a few items can assess such violence. Thus, validate an instrument able to assess more layers of this behavior among Brazilian students is of great importance.

Guilheri’s (2016Guilheri, J. (2016). Jogos de asfixia, jogos de agressão, bullying em contexto escolarEstudo transcultural França-Brasil com escolares de 9-12 anos. Universidade Federal de São Paulo.) study of the construct validity of rBVQ in Brazil used a sample smaller than ours (N = 1,802), excluded socioeconomic vulnerable students and with low reading proficiency, and did not conduct invariance tests. In this study, using the instrument in its original form was impossible, requiring not only to adapt the questions, but also to include audios and images, as most students did not master reading and had difficulty with text interpretation. As described in Sampling, sample size was calculated considering the main hypothesis of the randomized clinical trial designed to evaluate the effects of PROERD in these two grades. For our psychometrics analysis, we obtained and analyzed different sample sizes (1,742 fifth graders and 2,316 seventh graders) with enough power (i.e., 1 - β) to detect very smalls factor loadings (i.e., below 0.4). These samples also have enough power to conduct invariance testing under multigroup confirmatory factor analysis, which per se requires a more substantial sample size when compared with other techniques as MIMIC (see Brown, 2015Brown, T. (2015). Confirmatory Factor Analysis for Applied Research, Second Edition. In Guilford Publications., p.242) or moderated nonlinear factor analysis (Bauer, 2017Bauer, D. J. (2017). A more general model for testing measurement invariance and differential item functioning. Psychological Methods, 22(3), 507-526. https://doi.org/10.1037/met0000077
https://doi.org/10.1037/met0000077...
).

In Brazil, besides the quality of public education being lower than that of private schools, there is also a contrasting difference in the quality of education between central and peripheral public schools (Marques & Torres, 2019Marques, E., & Torres, H. (2019). São Paulo: segregação, pobreza e desigualdades sociais. Editora Senac São Paulo. Editora Senac São Paulo.). Most students in our study were socially vulnerable, having limited financial resources and living in neighborhoods with precarious paving, housing, and access to opportunities for development as a citizen. Thus, the previous validation of the instrument for the Brazilian population may not contemplate the different realities within the country. In large cities such as São Paulo, where the instrument has been validated, we see regions with complete public infrastructure alongside areas lacking basic services, luxury buildings living alongside slums, and extremely high wages counteracting a huge mass of unskilled unemployed (Marques & Torres, 2019Marques, E., & Torres, H. (2019). São Paulo: segregação, pobreza e desigualdades sociais. Editora Senac São Paulo. Editora Senac São Paulo.). Our work represents an important contribution to the literature, which lacks studies on instrument validation, especially with socially vulnerable populations, to which many school prevention programs are addressed.

In epidemiological studies involving data collection through questionnaires, the pen and paper method has been the standard procedure for years (S. Zhang et al., 2012Zhang, S., Wu, Q., van Velthoven, M. H., Chen, L., Car, J., Rudan, I., Zhang, Y., Li, Y., & Scherpbier, R. W. (2012). Smartphone Versus Pen-and-Paper Data Collection of Infant Feeding Practices in Rural China. Journal of Medical Internet Research, 14(5), e119. https://doi.org/10.2196/jmir.2183
https://doi.org/10.2196/jmir.2183...
). In the last two decades, electronic devices such as personal assistants (PDAs), and more recently mobile phones, have emerged as an alternative to data collection (Zhang et al., 2017Zhang, J., Sun, L., Liu, Y., Wang, H., Sun, N., & Zhang, P. (2017). Mobile device-based electronic data capture system used in a clinical randomized controlled trial: Advantages and challenges. Journal of Medical Internet Research, 19(3), e66.). Using smartphones is a recent development, taking advantage of its larger screens and direct wireless data upload, eliminating having to manually insert data in the database, which avoids transcription errors (Zhang et al., 2017Zhang, J., Sun, L., Liu, Y., Wang, H., Sun, N., & Zhang, P. (2017). Mobile device-based electronic data capture system used in a clinical randomized controlled trial: Advantages and challenges. Journal of Medical Internet Research, 19(3), e66.; Zhang et al., 2012Zhang, S., Wu, Q., van Velthoven, M. H., Chen, L., Car, J., Rudan, I., Zhang, Y., Li, Y., & Scherpbier, R. W. (2012). Smartphone Versus Pen-and-Paper Data Collection of Infant Feeding Practices in Rural China. Journal of Medical Internet Research, 14(5), e119. https://doi.org/10.2196/jmir.2183
https://doi.org/10.2196/jmir.2183...
). Through smartphones, we can configure the software to skip questions according to participant responses and be aware of typing errors or wrong answers, which improves data quality. In addition, it allows including audios and interactive images that can facilitate the participant’s understanding and enable the participation of people with disabilities, as performed in our study.

Collecting data electronically not only reduces potential biases during data collection and transcription, but also allows researchers to obtain more reliable responses from participants (Zhang et al., 2012Zhang, S., Wu, Q., van Velthoven, M. H., Chen, L., Car, J., Rudan, I., Zhang, Y., Li, Y., & Scherpbier, R. W. (2012). Smartphone Versus Pen-and-Paper Data Collection of Infant Feeding Practices in Rural China. Journal of Medical Internet Research, 14(5), e119. https://doi.org/10.2196/jmir.2183
https://doi.org/10.2196/jmir.2183...
). In our study, besides collecting data anonymously through smartphones, we also used an audio-guided questionnaire with images to reduce possible misinterpretation. With the increasing use of technologies in our daily lives, modernization of data collection becomes indispensable, which besides facilitating and increasing its quality (Zhang et al., 2012Zhang, S., Wu, Q., van Velthoven, M. H., Chen, L., Car, J., Rudan, I., Zhang, Y., Li, Y., & Scherpbier, R. W. (2012). Smartphone Versus Pen-and-Paper Data Collection of Infant Feeding Practices in Rural China. Journal of Medical Internet Research, 14(5), e119. https://doi.org/10.2196/jmir.2183
https://doi.org/10.2196/jmir.2183...
), makes participation more attractive.

Validate rBVQ becomes extremely important as the instrument will be used to evaluate the effects of KiR on bullying but can be used for the evaluation of any other program intended to reduce bullying or, even, to identify the distribution of bullying reports in early adolescence. Our data, besides allowing us to evaluate the program in Brazil and the use of the instrument in future studies on bullying, may contribute to the better understanding of bullying among deprived students using a valid instrument.

A limitation of this study could be the sample, as previously stated, we used the data of a RCT, with schools randomly selected from those that did not receive the evaluated prevention program in the last 3 years, and all these schools were located in peripheral regions, considered to be of low economic and social development, by random selection. But validation studies with this population are important, since many school prevention programs are addressed for this kind of reality. Therefore, it is important that future studies that aim to assess bullying using this instrument consider performing the psychometric validation of the instrument, especially when the profile of the target population is different.

Acknowledgments:

The authors Hugo Cogo-Moreira and Zila M. Sanchez are sharing senior authorship.

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Annex


Revised Olweus Bully/Victim Questionnaire (rBVQ)

Publication Dates

  • Publication in this collection
    26 Sept 2022
  • Date of issue
    Apr-Jun 2022

History

  • Received
    25 Aug 2020
  • Reviewed
    08 Jan 2021
  • Accepted
    01 Mar 2021
Universidade de São Francisco, Programa de Pós-Graduação Stricto Sensu em Psicologia R. Waldemar César da Silveira, 105, Vl. Cura D'Ars (SWIFT), Campinas - São Paulo, CEP 13045-510, Telefone: (19)3779-3771 - Campinas - SP - Brazil
E-mail: revistapsico@usf.edu.br