Turkiye Klinikleri Journal of Biostatistics

.: ORIGINAL RESEARCH
Comparison of the Mantel-Haenszel and Peto Methods Used in Meta-Analysis: Methodological Study
Metaanalizde Kullanılan Mantel-Haenszel ve Peto Yöntemlerinin Karşılaştırılması: Metodolojik Çalışma
Mehmet Onur KAYAa, İlker ERCANb, Gökhan OCAKOĞLUb
aDepartment of Biostatistics and Medical Informatics, Fırat University Faculty of Medicine, Elazığ, TURKEY
bDepartment of Biostatistics, Bursa Uludağ University Faculty of Medicine, Bursa, TURKEY
Turkiye Klinikleri J Biostat. 2021;13(3):252-65
doi: 10.5336/biostatic.2021-86142
Article Language: EN
Full Text
ABSTRACT
 Objective: Meta-analysis methods aim to achieve a single common summary statistic for the parameter estimation by combining homogeneous statistics from different studies. In this study, the performances of two of the most preferred meta-analysis approach used for combining summary statistics calculated from binary data sets, the Mantel-Haenszel (MH) and Peto methods, are examined. Material and Methods: In the study, the performances of the MH and Peto methods, were examined by means of a simulation study. Hypothetical populations formed from 1,000,000 units with different disease-cause rates (P(E+ \P + )=0.50, 0.60, 0.70, 0.80, 0.90) were created. Both methods were applied by generating odds ratios with data obtained from samples taken from each hypothetical population having different disease-cause rates (P), in different sample sizes (n), and with different numbers of studies (k). To compare the performance of the methods, relative bias (RB) and relative mean squared error scales were used. Results: Considering that the studies taken for meta-analysis are both homogeneous and heterogeneous, the data obtained from the simulation study were analyzed and the results obtained from the analysis were presented through tables. Evaluation of the performance of the 2 methods according to RB and relative mean squared error criteria according to (n) and (k) are presented with graphics. Conclusion: For both the fixed effects model and the random effects model, the Peto method provides more coherent estimates for the population parameter than the MH method.

Keywords: Meta-analysis; odds ratio; Mantel-Haenszel method; Peto method; simulation
ÖZET
 Amaç: Metaanaliz yöntemleri, farklı çalışmalardan elde edilen homojen özet istatistikleri birleştirerek, parametre tahmini için tek bir ortak özet istatistik elde etmeyi amaçlar. Bu çalışmada, ikili değerler alan veri setlerinden hesaplanan özet istatistiklerinin birleştirilmesinde kullanılan ve en çok tercih edilen metaanaliz yaklaşımlarından 2'si olan Mantel-Haenszel (MH) ve Peto yöntemlerinin performansları incelenmiştir. Gereç ve Yöntemler: Çalışmada, MH ve Peto yöntemlerinin performansları simülasyon çalışması ile incelenmiştir. Farklı hastalık-etken oranlarına sahip (P(E+ \P + )=0,50, 0,60, 0,70, 0,80, 0,90) olan 1.000.000 birimden oluşan varsayımsal popülasyonlar oluşturulmuştur. Her iki yöntem, farklı hastalık-etken oranlarına (P) sahip her bir varsayımsal popülasyondan, farklı örneklem büyüklüklerinde (n) ve farklı sayıda çalışmadan (k) alınan örneklerden elde edilen verilerle göreceli olasılıklar oranları üretilerek uygulanmıştır. Yöntemlerin performanslarının karşılaştırılması amacıyla rölatif bias (RB) ve rölatif hata kareleri ortalaması ölçekleri kullanılmıştır. Bulgular: Meta-analiz için alınan çalışmaların hem homojen hem de heterojen olduğu dikkate alınarak gerçekleştirilen simülasyon çalışmasından elde edilen veriler analiz edilmiştir ve analizden elde edilen sonuçlar tablolar aracılığıyla sunulmuştur. İki yöntemin performansının RB ve rölatif hata kareleri ortalaması kriterlerine göre örneklem büyüklüğü (n) değerleri ve metaanaliz için alınan çalışma sayısı (k) referans alınarak değerlendirilmesi grafikler aracılığıyla sunulmuştur. Sonuç: Hem sabit etki modeli hem de rastgele etki modeli için Peto yöntemi, popülasyon parametresi için MH yönteminden daha tutarlı tahminler sağlamıştır.

Anahtar Kelimeler: Meta-analiz; odds oranı; Mantel Haenszel yöntemi; Peto yöntemi; simülasyon
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