The Turkish Adaptation of the Statistics Anxiety Scale for Graduate Students

Abstract

In this study, it was aimed to adapt the Statistical Anxiety Scale (SAS) developed for graduate students by Faber, Drexler, Stappert and Eichhorn to Turkish. The research was carried out on 375 students attending graduate education in any field in Turkey. In the study, construct validity of the SAS was investigated via exploratory factor analysis (EFA) and confirmatory factor analysis (CFA). Parallel analysis method was also used in making decision about factor number of the scale. In the EFA and parallel analysis, a unidimensional structure was obtained in line with the results acquired in the factor analysis of the original form of the SAS. However; since the original form of the SAS was designed by foreseeing a three-dimensional structure of worry, avoidance and emotionality, both unidimensional and three-dimensional structures were tested in CFA. The fit indices reported in CFA were found to be within acceptable limits for both models. In the reliability analysis, Cronbach Alpha internal consistency coefficient was calculated as .91 for the whole scale, and it was found to be .91, .83, and .91 for worry, avoidance and emotionality dimensions, respectively. It was determined that item correlations exceed the lower limit of .30 for all items in the scale. Ferguson Delta statistic, which provide evidence for the discriminatory power of the entire scale, was determined as .98. These results suggest that the Turkish form of the SAS yields valid and reliable measures.

Keywords

• Statistics anxiety,graduate students,scale adaptation,validity,reliability

References

1. Aksu, G., Eser, M. T., & Güzeller, C. (2017). Açımlayıcı ve doğrulayıcı faktör analizi ile yapısal eşitlik modeli uygulamaları. Ankara: Detay.
2. Baloğlu, M. (2002). Psychometric properties of the statistics anxiety rating scale. Psychological Reports, 90(1), 315-325. Retrieved from https://www.researchgate.net/publication/11464881_Psychometric_properties_of_the_statistics_anxiety_rating_scale
3. Baloğlu, M. (2003). Individual differences in statistics anxiety among college students. Personality and Individual Differences, 34(5), 855–865. https://doi.org/10.1016/S0191-8869(02)00076-4
4. Baloğlu, M., Koçak, R., & Zelhart, P. F. (2007). İstatistik kaygısı ve istatistiğe yönelik tutumlar arasındaki ilişki. Ankara Üniversitesi Eğitim Bilimleri Fakültesi Dergisi, 40(2), 23-39. Retrieved from http://dergipark.gov.tr/download/article-file/509051
5. Baloğlu, M., & Zelhart, P. F. (2004). Üniversite öğrencileri arasında yüksek ve düşük istatistik kaygısının ayrıştırıcıları. Eğitim ve Bilim, 29(133), 47-51. Retrieved from http://egitimvebilim.ted.org.tr/index.php/EB/article/download/5093/1176
6. Bayram, N. (2010). Yapısal eşitlik modellemesine giriş AMOS uygulamaları. Bursa: Ezgi.
7. Benson, J. (1989). Structural components of statistical test anxiety in adults: an exploratory model. The Journal of Experimental Education, 57(3), 247-261. https://doi.org/10.1080/00220973.1989.10806509
8. Beurze, S. M., Donders, A. R. T., Zielhuis, G. A., Vegt, F., & Verbeek, A. L. M. (2013). Statistics Anxiety: A Barrier for Education in Research Methodology for Medical Students? The Journal of the International Association of Medical Science Educators, 23(3), 377-384. https://doi.org/10.1007/BF03341649

9. Büyüköztürk, Ş. (2010). Sosyal bilimler için veri analizi el kitabı. Ankara: Pegem Akademi.
10. Chew, P. K. H., Dillon, D. B., & Swinbourne, A. L. (2018) An examination of the internal consistency and structure of the Statistical Anxiety Rating Scale (STARS). PLoS ONE, 13(3), https://doi.org/10.1371/journal.pone.0194195
11. Chiesi, F., Primi, C., & Carmona, J. (2011). Measuring Statistics Anxiety: Cross-Country Validity of the Statistical Anxiety Scale (SAS). Journal of Psychoeducational Assessment, 29(6), 559-569. https://doi.org/10.1177/0734282911404985
12. Collins, K. M. T., & Onwuegbuzie, A. T. (2007). I cannot read my statistics textbook: The relationship between reading ability andstatistics anxiety. The Journal of Negro Education, 76(2), 118-129. Retrieved from http://www.jstor.org/stable/40034551
13. Cruise, R. J., Cash, R. W., & Bolton, D. L. (1985, August). Development and validation of an instrument to measure statistical anxiety. Paper presented at the proceedings of the American Statistical Association, Las Vegas, Nevada. Retrieved from http://bfc.sfsu.edu/cgi-bin/rume.pl?Development_And_Validation_Of_An_Instrument_To_Measure_Statistical_Anxiety
14. Day, J., & Bonn, D. (2011). Development of the concise data processing assessment. Physical Review Special Topics – Physics Education Research, 7(1), 1–14. https://doi.org/10.1103/PhysRevSTPER.7.010114
15. Erkuş, A. (2011). Davranış bilimleri için bilimsel araştırma süreci. Ankara: Seçkin.
16. Erkuş, A. (2012). Psikolojide ölçme ve ölçek geliştirme-I. Ankara: Pegem Akademi.
17. Field, A. (2009). Discovering statics using SPSS. London: SAGE.
18. Faber, G., Drexler, H., Stappert, A., & Eichhorn, J. (2018). Education science students’ statistics anxiety: Developing and analyzing a scale for measuring their worry, avoidance, and emotionality cognitions. International Journal of Educational Psychology, 7(3), 248-285. https://doi.org/10.17583/ijep.2018.2872
19. Fabrigar, L. R., Wegener, D. T., MacCallum, R. C., & Strahan, E. J. (1999). Evaluating the use of exploratory factor analysis in psychological research. Psychological Methods, 4(3), 272-299. https://doi.org/10.1037/1082-989X.4.3.272
20. Fitzgerald, S. M., Jurs, S. J., & Hudson, L. M. (1996). A model predicting statistics achievement among graduate students. College Student Journal, 30(3), 361-366. Retrieved from https://psycnet.apa.org/record/1997-07633-006
21. Gürbüz, S., & Şahin, F. (2017). Sosyal bilimlerde araştırma yöntemleri: Felsefe – yöntem – analiz. Ankara: Seçkin.
22. Hancock, G. R., & Mueller, R. O. (2013). Structural equation modeling: A second course. Charlotte, NC: Information Age.
23. Hankins, M. (2008). How discriminating are discriminative instruments? Health and Quality of Life Outcomes, 6(36). https://doi.org/10.1186/1477-7525-6-36
24. Hanna, D., Shevlin, M., & Dempster, M. (2008). The structure of the Statistics Anxiety Rating Scale: A confirmatory factor analysis using UK psychology students. Personality and Individual Differences, 45(1), 65-74. https://doi.org/10.1016/j.paid.2008.02.021
25. Horn, J. L. (1965). A rationale for the number of factors in factor analysis. Psychometrica, 30(2), 179– 85. https://doi.org/10.1007/BF02289447
26. Hoyle, R. H. (2012). Handbook of structural equation modeling. New York: Guilford.
27. Kelloway, E. K. (1998). Using LISREL for structural equation modeling: A researcher's guide. Thousand Oaks, CA: Sage.
28. Kline, P. (2000). The handbook of psychological testing. London: Routledge
29. Kline, R. B. (2016). Principles and practice of structural equation modeling. New York: Guilford.
30. Köklü, N. (1994). Bir istatistik tutum ölçeğinin geçerlik ve güvenirliği. Eğitim ve Bilim, 18(93), 42-47. Retrieved from http://egitimvebilim.ted.org.tr/index.php/EB/article/download/5906/2041
31. Köklü, N. (1996). İstatistik kaygı ölçeği: Psikometrik veriler. Eğitim ve Bilim, 20(102), 45-49.
32. Lalonde, R. N., & Gardner, R. C. (1993). Statistics as a second language? A model for predicting performance in psychology students. Canadian Journal of Behavioural Science, 25(1), 108-125. http://dx.doi.org/10.1037/h0078792
33. Liu, S., Onwuegbuzie, A. J., & Meng, L. (2011). Examination of the score reliability and validity of the statistics anxiety rating scale in a Chinese population: Comparisons of statistics anxiety between Chinese college students and their Western counterparts. Journal of Educational Enquiry, 11(1), 29-42. Retrieved from https://www.ojs.unisa.edu.au/index.php/EDEQ/article/view/662/585
34. Maat, S. M., & Rosli, M. K. (2016). The Rasch Model Analysis for Statistical Anxiety Rating Scale (STARS). Creative Education, 7, 2820-2828. http://dx.doi.org/10.4236/ce.2016.718261
35. Macfarlane, I., Meach, P. M., & Leroy, B. S. (2014). Genetic counseling research: A practical guide. New York, NY: Oxford University.
36. Meyers, L. S, Gamst, G., & Guarino, A. J. (2006). Applied multivariate research: Design and interpretation. London: SAGE.
37. Nesbit, R. J., & Bourne, V. J. (2018). Statistics Anxiety Rating Scale (STARS) use in psychology students: A review and analysis with an undergraduate sample. Psychology Teaching Review, 24(2), 101-110. Retrieved from https://psycnet.apa.org/record/2018-57771-011
38. O’Connor, B. P. (2000). SPSS and SAS programs for determining the number of components using parallel analysis and Velicer’s MAP test. Behavior Research Methods, Instruments, & Computers, 32(3), 396-402. https://doi.org/10.3758/BF03200807
39. Onwuegbuzie, A. J. (1997a) Writing a research proposal: the role of library anxiety, statistics anxiety, and composition anxiety, Library & Information Science Research, 19(1), 5–33. https://doi.org/10.1016/S0740-8188(97)90003-7
40. Onwuegbuzie, A .J. (2004) Academic procrastination and statistics anxiety, Assessment & Evaluation in Higher Education, 29(1), 3-19. https://doi.org/10.1080/0260293042000160384
41. Onwuegbuzie, A. J., Daros, D., & Ryan, J. (1997). The components of statistics anxiety: A phenomenological study. Focus on Learning Problems in Mathematics, 19(4), 11–35.
42. Onwuegbuzie, A. J., & Seaman, M. A. (1995). The effect of time constraints and statistics test anxiety on test performance in a statistics course. The Journal of Experimental Education, 63(2), 115-124. http://dx.doi.org/10.1080/00220973.1995.9943816
43. Onwuegbuzie, A. J., Slate, J. R., Paterson, F. R. A., Watson, M. H., & Schwartz, R. A. (2000). Factors associated with achievement in educational research courses. Research in the Schools, 7(1), 53-65. Retrieved from https://eric.ed.gov/?id=EJ644255
44. Onwuegbuzie, A. J., & Wilson, V. A. (2003). Statistics anxiety: Nature, etiology, antecedents, effects, and treatments--a comprehensive review of the literature. Teaching in Higher Education, 8(2), 195-209. https://doi.org/10.1080/1356251032000052447
45. Onwuegbuzie, A. J. (2004) Academic procrastination and statistics anxiety, Assessment & Evaluation in Higher Education, 29(1), 3-19. https://doi.org/10.1080/0260293042000160384
46. Pallant, J. (2005). SPSS survival manual: A step by step guide to data analysis using SPSS for windows. Australia: Australian Copyright.
47. Pan, W., & Tang, M. (2005). Students' perceptions on factors of statistics anxiety and instructional strategies. Journal of Instructional Psychology, 32(3), 205-214. Retrieved from http://eds.a.ebscohost.com/eds/pdfviewer/pdfviewer?vid=0&sid=203918c5-c9d0-48b6-93dc-ed542a553c9f%40sessionmgr4006
48. Primi, C., & Chiesi, F. (2018, July). The role of mathematics anxiety and statistics anxiety in learning statistics. Paper presented at the 10th International Conference on Teaching Statistics, Kyoto, Japan. Retrieved from https://iase-web.org/icots/10/proceedings/pdfs/ICOTS10_5E2.pdf
49. Ramsay, M. C., & Reynolds, C. R. (2000). Development a scientific test: A practical guide. In G. Goldstein & M. Hersen (Eds.), Handbook of psychological assessment (pp. 21-42). New York: Elsevier.
50. Raykow, T., & Marcoulides, G. A. (2011). Introduction to psychometric theory. New York, NY: Taylor & Francis.
51. Roberts, D. M., & Bilderbeck, E. W. (1980). Reliability and validity of statistics attitude survey. Educational and Psychological Measurement, 40, 235-238. https://doi.org/10.1177/001316448004000138
52. Roberts, D. M., & Saxe, J. E. (1982) Validity of a statistics attitude survey: A follow up study. Educational and Psychological Measurement, 42(3), 907–912. https://doi.org/10.1177/001316448204200326
53. Rodarte-Luna, B., & Sherry, A. (2008). Sex differences in the relation between statistics anxiety and cognitive/learning strategies. Contemporary Educational Psychology, 33(2), 327–344. https://doi.org/10.1016/j.cedpsych.2007.03.002
54. Schumacker, R. E., & Lomax, R. G. (2016). A beginner's guide to structural equation modeling. New York, NY: Routledge.
55. Sönmez, V., & Alacapınar, F.G. (2016). Sosyal bilimlerde ölçme aracı hazırlama. Ankara: Anı.
56. Sutarso, T. (1992). Some Variables in Relation to Students' Anxiety in Learning Statistics. Paper presented at the Annual Meeting of the Mid-South Educational Research Association, Knoxville, TN (ERIC document number ED-353334). Retrieved from https://files.eric.ed.gov/fulltext/ED353334.pdf
57. Sümer, N. (2000). Yapısal eşitlik modelleri: temel kavramlar ve örnek uygulamalar. Türk Psikoloji Yazıları, 3(6), 49-74. Retrieved from https://www.researchgate.net/publication/281981476_Yapidotlesssal_esitlik_modelleri_Temel_kavramlar_ve_ornek_uygulamalar
58. Vigil-Colet, A., Lorenzo-Seva, U., & Condon, L. (2008). Development and validation of the statistical anxiety scale. Psicothema, 20(1), 174-180. Retrieved from http://www.psicothema.com/PDF/3444.pdf
59. Wang, J., & Wang, X. (2012). Structural equation modeling: Applications using Mplus. Chichester, UK: Wiley.
60. Wilson, V. (1997, November). Factors related to anxiety in the graduate statistics classroom. Paper presented at the annual meeting of the Mid-South Educational Research Association, Memphis, TN (ERIC document number ED415288). Retrieved from https://files.eric.ed.gov/fulltext/ED415288.pdf
61. Tan, Ş. (2016). SPSS ve Excel uygulamalı temel istatistik-I. Ankara: Pegem Akademi.
62. Tabachnick, B. G., & Fidell, L. S. (2007). Using multivariate statistics. Boston, Pearson Education, Inc.
63. Tekindal, S. (2009). Duyuşsal özelliklerin ölçülmesi için araç oluşturma. Ankara: Pegem Akademi.
64. Teman, E. D. (2013). A Rasch analysis of the statistical anxiety rating scale. Journal of Applied Measurement, 14, 414-434. Retrieved from https://www.researchgate.net/publication/257071159_A_rasch_analysis_of_the_statistical_anxiety_rating_scale
65. Tezbaşaran, A. (1997). Likert tipi ölçek geliştirme kılavuzu. Ankara: Türk Psikologlar Derneği.
66. Yaşar, M. (2014). İstatistiğe yönelik tutum ölçeği: Geçerlilik ve güvenirlik çalışması. Pamukkale Üniversitesi Eğitim Fakültesi Dergisi, 36(2), 59-75. http://dx.doi.org/10.9779/PUJE640
67. Yavuz, G. & Doğan, N. (2015). Boyut sayısı belirlemede Velicer’in map testi ve Horn’un paralel analizinin kullanılması. Hacettepe Üniversitesi Eğitim Fakültesi, 30(3), 176-188. Retrieved from http://www.efdergi.hacettepe.edu.tr/yonetim/icerik/makaleler/674-published.pdf
68. Yıldırım, A., & Şimşek, H. (2016). Sosyal bilimlerde nitel araştırma yöntemleri. Ankara: Seçkin.
69. Zeidner, M. (1991). Statistics and mathematics anxiety in social science students: Some interesting parallels. British Journal of Educational Psychology, 61(3). https://doi.org/10.1111/j.2044-8279.1991.tb00989.x
70. Zhang, F., & Lidbury, B. A. (2013). Evaluating a genetics concepts inventory. In F. Zhang (Eds.), Sustainable language support practices in science education: Technologies and solutions (pp. 116-128). USA, Hershey: Medical Information Science Reference.