Performansa Dayalı Değerlendirmede Puanlayıcılar Arası Güvenirlik Analizi: Genellenebilirlik Katsayıları ve Puanlayıcı Tutarlılığının Karşılaştırılması

Öz

Bu çalışma, üniversite öğrencilerinin temel istatistik becerilerini değerlendirmek için kullanılan performansa dayalı bir ölçme aracının güvenirliğini Genellenebilirlik Kuramı (GK) çerçevesinde incelemektedir. Rehberlik ve Psikolojik Danışmanlık programından toplam 80 öğrenci, 10 uygulamalı görevden oluşan iki saatlik bir sınava katılmıştır. Görevler, ayrıntılı bir analitik rubrik kullanılarak iki puanlayıcı tarafından bağımsız olarak puanlanmıştır. Puanlar, tam çaprazlanmış bir desen (b × m × d) kullanılarak analiz edilmiş; varyans bileşenleri maksimum olabilirlik yöntemiyle tahmin edilmiş ve %95 güven aralıkları 1.000 tekrar içeren küme bootstrap prosedürüyle hesaplanmıştır. Sonuçlar, toplam varyansın %50,2’sinin öğrencilere, %25,6’sının maddelere ve %16,6’sının puanlayıcılara atfedildiğini, etkileşim terimlerinin ise düşük düzeyde kaldığını göstermiştir. İlk göreli genellenebilirlik katsayısı .98, mutlak karar katsayısı (Φ) ise .81 olarak hesaplanmıştır. Madde sayısı 15’e, puanlayıcı sayısı ise beşe çıkarıldığında Φ katsayısı .90’a yükselmiş ve mutlak hata varyansı .45’e düşmüştür. Bulgular, öğrenciler arasındaki gerçek performans farklılıklarının güçlü bir şekilde yakalandığını, ancak puanlayıcı etkilerinin tamamen ortadan kaldırılamadığını göstermektedir. Görev kapsamını genişletmek ve puanlayıcı sayısını artırmak, hem mutlak hem de göreli hata varyanslarını azaltmada etkili stratejiler olarak bulunmuştur. Çalışma, rubrik kullanımının, puanlayıcı eğitimine yatırım yapmanın, çoklu görev–çoklu puanlayıcı yaklaşımının ve GK temelli revizyon döngülerinin yüksek riskli performans değerlendirmelerinde önemini desteklemektedir. Bulguların, öğretmen eğitimi programlarında istatistiksel okuryazarlığı geliştirmeyi amaçlayan pratik ölçme stratejilerine katkı sağlaması beklenmektedir. Ayrıca, çalışmanın iç geçerliliğini artırmak için farklı disiplinlerde daha büyük ve çeşitli örneklemlerle tekrarlanması önerilmektedir. Gelecek araştırmalar, çevrim içi platformlar aracılığıyla puanlayıcı geri bildirim döngülerinin uygulanmasını ve rubrik destekli puanlama sistemlerinin entegrasyonunu içerebilir. Anahtar Kelimeler: Genellenebilirlik kuramı, performansa dayalı değerlendirme, puanlayıcı güvenirliği

Anahtar Kelimeler

• Genellenebilirlik kuramı
• performansa dayalı değerlendirme
• puanlayıcı güvenirliği

Inter-Rater Reliability Analysis in Performance-Based Assessment: A Comparison of Generalizability Coefficients and Rater Consistency

Abstract

This study investigates the reliability of a performance-based assessment tool used to evaluate university students’ basic statistical skills within the framework of Generalizability Theory (GT). A total of 80 students from the Guidance and Psychological Counseling program participated in a two-hour examination consisting of 10 applied tasks. The tasks were scored independently by two raters using a detailed analytic rubric. The scores were analyzed using a fully crossed design (p × i × r), with variance components estimated via the maximum likelihood method, and 95% confidence intervals calculated using a cluster bootstrap procedure (1,000 resamples). Results showed that 50.2% of the total variance was attributable to students, 25.6% to items, and 16.6% to raters, while interaction terms remained at low levels. The initial relative generalizability coefficient was calculated as .98, and the absolute decision coefficient (Φ) was .81. When the number of items was increased to 15 and the number of raters to five, the Φ coefficient improved to .90, and absolute error variance decreased to .45. Findings indicated that true performance differences among students were strongly captured, although rater effects could not be completely eliminated. Expanding task coverage and increasing the number of raters were found to be effective strategies for reducing both absolute and relative error variances. The study supports the importance of rubric use, investment in rater training, a multi-task–multi-rater approach, and GT-based revision cycles in high-stakes performance assessments. The findings are expected to inform practical assessment strategies aimed at improving statistical literacy in teacher education programs. Additionally, it is recommended that the study be replicated with larger and more diverse samples across disciplines to enhance internal validity. Future directions may include implementing rater feedback cycles through online platforms and integrating rubric-supported scoring systems. Keywords: Generalizability theory, performance-based assessment, rater reliability

Keywords

• Generalizability theory
• performance-based assessment
• rater reliability

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