References
[1]. Bofah, E. A. T., & Hannula, M. S. (2015). TIMSS data in
an African comparative perspective: Investigating the
factors influencing achievement in mathematics and
their psychometric properties. Large-Scale Assessments
in Education, 3(1), 1-36. https://doi.org/10.1186/s40536-015-0014-y
[2]. Brown, T. A. (2006). Confirmatory Factor Analysis for
Applied Research. New York, NY: Guilford.
[3]. Chen, 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
[4]. Cimetta, A. D., Marx, R. W., Yaden, D. B., Alkhadim, G.
S., & Cutshaw, C. A. (2018). Latent variable structure and
measurement invariance of a modified early literacy
assessment. International Journal of School &
Educational Psychology, 6(3), 208-222. https://doi.org/10.1080/21683603.2017.1322016
[5]. Demir, E. (2017). Testing Measurement Invariance of
the Students' Affective Characteristics Model across
Gender Sub-Groups. Educational Sciences: Theory and
Practice, 17(1), 47-62.
[6]. Hansson, Å., & Gustafsson, J. E. (2013). Measurement
invariance of socioeconomic status across migrational
background. Scandinavian Journal of Educational
Research, 57(2), 148-166. https://doi.org/10.1080/00313831.2011.625570
[7]. Hu, E., Stavropoulos, V., Anderson, A., Clarke, M.,
Beard, C., Papapetrou, S., & Gomez, R. (2019). Assessing
online flow across cultures: A two-fold measurement
invariance study. Frontiers in Psychology, 10, 407.
[8]. Kim, E. S., & Yoon, M. (2011). Testing measurement
invariance: A comparison of multiple-group categorical
CFA and IRT. Structural Equation Modeling, 18(2), 212-228. https://doi.org/10.1080/10705511.2011.557337
[9]. Kim, S. H., & Cohen, A. S. (1995). A comparison of
Lord's chi-square, Raju's area measures, and the
likelihood ratio test on detection of differential item
functioning. Applied Measurement in Education, 8(4),
291-312. https://doi.org/10.1207/s15324818ame0804_2
[10]. Koziol, N. A. (2010). Evaluating Measurement
Invariance with Censored Ordinal Data: A Monte Carlo
Comparison of Alternative Model Estimators and Scales
of Measurement. Theses and Dissertations from the
College of Education and Human Sciences. University of
Nebraska – Lincoln.
[11]. Koziol, N., & Bovaird, J. A. (2009). Using Experimental
Designs to Evoke Construct Validity Evidence. Poster
presented at the annual meeting of the American
Psychological Association, Toronto, Canada.
[12]. Millsap, R. E. (2011). Statistical Approaches to Measurement Invariance. New York: Taylor and Francis
Group.
[13]. Millsap, R. E., & Yun-Tein, J. (2004). Assessing factorial
invariance in ordered-categorical measures. Multivariate
Behavioral Research, 39(3), 479-515.
[14]. Molenaar, D., & Borsboom, D. (2013). The
formalization of fairness: Issues in testing for measurement
invariance using subtest scores. Educational Research
and Evaluation, 19(2-3), 223-244. https://doi.org/10.1080/13803611.2013.767628
[15]. Muthén, B., & Asparouhov, T. (2002). Latent variable
analysis with categorical outcomes: Multiple-group and
growth modeling in Mplus. Mplus Web Notes, 4(5), 1-22.
[16]. Muthén, L. K., & Muthén, B. O. (2017). Mplus (Version 8)[Computer software]. Los Angeles, CA: Author.
[17]. Rojas, L., Rojas, G., & Brizuela, A. (2018). The Use of
Measurement Invariance with Dichotomous Variables as
Evidence of Validity. Instituto de Investigaciones
Psicológicas, Universidad de Costa Rica.
[18]. Rosseel, Y. (2012). lavaan: An R package for
structural equation modeling. Journal of Statistical
Software, 48, 1-36. https://doi.org/10.18637/jss.v048.i02
[19]. RTI International. (2014). Early Grade Mathematics
Assessment (EGMA) Toolkit. Retrieved from https://shared.rti.org/content/early-grade-mathematics-assessmentegma-toolkit
[20]. Sideridis, G. D., Tsaousis, I., & Al-harbi, K. A. (2015).
Multi-population invariance with dichotomous measures:
combining multi-group and mimic methodologies in
evaluating the general aptitude test in the arabic language. Journal of Psychoeducational Assessment,
33(6), 568-584. https://doi.org/10.1177/0734282914567871
[21]. Sinnes, A. (2014). Understanding student
participation and choice in science and technology
education. Springer, 17-19.
[22]. USAID. (2016). Early Grade Reading and
Mathematics Assessment in the Republic of Macedonia:
Study Report. Retrieved from https://www.stepbystep.org.mk/WEBprostor/EGRA_and_EGMA_Study_Report_-
_May_2015.pdf
[23]. Uzun, B., & Ögretmen, T. (2010). Assessing the
Measurement Invariance of Factors that are Related to
Students' Science Achievement across Gender in TIMSS-R
Turkey Sample. Egitim ve Bilim, 35(155), 26–35.
[24]. Wendt, H., Kasper, D., & Trendtel, M. (2017).
Assuming measurement invariance of background
indicators in international comparative educational
achievement studies: a challenge for the interpretation of
achievement differences. Large-scale Assessments in
Education, 5(1), 1-34. https://doi.org/10.1186/s40536-017-0043-9
[25]. Widaman, K. F., & Reise, S. P. (1997). Exploring the
measurement invariance of psychological instruments:
Applications in the substance use domain. Educational
and Psychological Measurement, 43, 729-740.
[26]. Wirth, R. J., & Edwards, M. C. (2007). Item factor
analysis: Current approaches and future directions.
Psychological Methods, 12(1), 58-79. https://doi.org/10.1037/1082-989X.12.1.58