COMPARISON OF FREQUENTIST AND BAYESIAN APPROACHES ON SAMPLE SIZE: METHODOLOGIC STUDY

Objective: In the present study, we aimed to evaluate the effects of sample size on results of study by using frequentist and Bayesian approaches.Material and Methods: The small sample consisted of 32 patients with ischemic heart disease (IHD) and 37 control subjects. In order to compare the statist...

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Main Authors: Cennet Yıldız, Eray Yurtseven, Fatma Nihan Turhan Çağlar, Mehmet Güven Günver
Format: Article
Language:English
Published: Istanbul University Press 2023-06-01
Series:Sabiad
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Online Access:https://cdn.istanbul.edu.tr/file/JTA6CLJ8T5/20BD9A4B9A804367B58B88F34043DD54
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author Cennet Yıldız
Eray Yurtseven
Fatma Nihan Turhan Çağlar
Mehmet Güven Günver
author_facet Cennet Yıldız
Eray Yurtseven
Fatma Nihan Turhan Çağlar
Mehmet Güven Günver
author_sort Cennet Yıldız
collection DOAJ
description Objective: In the present study, we aimed to evaluate the effects of sample size on results of study by using frequentist and Bayesian approaches.Material and Methods: The small sample consisted of 32 patients with ischemic heart disease (IHD) and 37 control subjects. In order to compare the statistical differences between small and large sample sizes, two samples were constituted. All the patients included in the study were male and between 40-50 years old. The large sample consisted of 355 IHD patients and 545 controls. Patients’ biochemical variables including glucose, triglyceride (TG), total cholesterol (TC), high density lipoprotein cholesterol (HDL), low density lipoprotein cholesterol (LDL), urea, creatinine, hemoglobin, hematocrit, (HCT), red cell distribution width (RDW), White blood cell (WBC), platelet (PLT), mean platelet volume (MPV), neutrophil (NEUT), lymphocyte (LYM) were recorded. Patients in the small and large samples were compared with both frequentist and Bayesian approaches.Results: Except for glucose levels there were no statistical differences with respect to the biochemical variables of two groups in a small sample size when the variables were analyzed by the frequentist approach. Similarly, we did not find any differences between biochemical variables when the data were analyzed by the Bayesian approach. When the large sample size data were analyzed by the frequentist approach, glucose, TG, TC, HDL, LDL, urea, creatinine, hemoglobin, HCT, WBC, NEUT, LYMP levels were found to be statistically significantly different between patients who had IHD and the controls. Similarly, there were significant differences between two groups with respect to glucose, TG, TC, HDL, LDL, urea, creatinine, hemoglobin, HCT, WBC, NEUT, LYMP levels when the data analyzed by Bayesian approach.Conclusion: Our study results suggested that there were no differences between the frequentist and Bayesian approach results when the sample size is large and the power of the study is high.
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spelling doaj-art-64918327907d438daada0dfc668641172025-08-20T02:56:13ZengIstanbul University PressSabiad2651-40602023-06-016212212810.26650/JARHS2023-1224130123456COMPARISON OF FREQUENTIST AND BAYESIAN APPROACHES ON SAMPLE SIZE: METHODOLOGIC STUDYCennet Yıldız0https://orcid.org/0000-0003-2456-3206Eray Yurtseven1https://orcid.org/0000-0003-0565-6407Fatma Nihan Turhan Çağlar2https://orcid.org/0000-0001-7925-2398Mehmet Güven Günver3https://orcid.org/0000-0002-4628-8391Bakırköy Dr. Sadi Konuk Eğitim Araştırma Hastanesi, İstanbul, Türkiyeİstanbul Üniversitesi, İstanbul, TürkiyeBakırköy Dr. Sadi Konuk Eğitim Araştırma Hastanesi, İstanbul, Türkiyeİstanbul Üniversitesi, İstanbul, TürkiyeObjective: In the present study, we aimed to evaluate the effects of sample size on results of study by using frequentist and Bayesian approaches.Material and Methods: The small sample consisted of 32 patients with ischemic heart disease (IHD) and 37 control subjects. In order to compare the statistical differences between small and large sample sizes, two samples were constituted. All the patients included in the study were male and between 40-50 years old. The large sample consisted of 355 IHD patients and 545 controls. Patients’ biochemical variables including glucose, triglyceride (TG), total cholesterol (TC), high density lipoprotein cholesterol (HDL), low density lipoprotein cholesterol (LDL), urea, creatinine, hemoglobin, hematocrit, (HCT), red cell distribution width (RDW), White blood cell (WBC), platelet (PLT), mean platelet volume (MPV), neutrophil (NEUT), lymphocyte (LYM) were recorded. Patients in the small and large samples were compared with both frequentist and Bayesian approaches.Results: Except for glucose levels there were no statistical differences with respect to the biochemical variables of two groups in a small sample size when the variables were analyzed by the frequentist approach. Similarly, we did not find any differences between biochemical variables when the data were analyzed by the Bayesian approach. When the large sample size data were analyzed by the frequentist approach, glucose, TG, TC, HDL, LDL, urea, creatinine, hemoglobin, HCT, WBC, NEUT, LYMP levels were found to be statistically significantly different between patients who had IHD and the controls. Similarly, there were significant differences between two groups with respect to glucose, TG, TC, HDL, LDL, urea, creatinine, hemoglobin, HCT, WBC, NEUT, LYMP levels when the data analyzed by Bayesian approach.Conclusion: Our study results suggested that there were no differences between the frequentist and Bayesian approach results when the sample size is large and the power of the study is high.https://cdn.istanbul.edu.tr/file/JTA6CLJ8T5/20BD9A4B9A804367B58B88F34043DD54frequentistbayesiansample size
spellingShingle Cennet Yıldız
Eray Yurtseven
Fatma Nihan Turhan Çağlar
Mehmet Güven Günver
COMPARISON OF FREQUENTIST AND BAYESIAN APPROACHES ON SAMPLE SIZE: METHODOLOGIC STUDY
Sabiad
frequentist
bayesian
sample size
title COMPARISON OF FREQUENTIST AND BAYESIAN APPROACHES ON SAMPLE SIZE: METHODOLOGIC STUDY
title_full COMPARISON OF FREQUENTIST AND BAYESIAN APPROACHES ON SAMPLE SIZE: METHODOLOGIC STUDY
title_fullStr COMPARISON OF FREQUENTIST AND BAYESIAN APPROACHES ON SAMPLE SIZE: METHODOLOGIC STUDY
title_full_unstemmed COMPARISON OF FREQUENTIST AND BAYESIAN APPROACHES ON SAMPLE SIZE: METHODOLOGIC STUDY
title_short COMPARISON OF FREQUENTIST AND BAYESIAN APPROACHES ON SAMPLE SIZE: METHODOLOGIC STUDY
title_sort comparison of frequentist and bayesian approaches on sample size methodologic study
topic frequentist
bayesian
sample size
url https://cdn.istanbul.edu.tr/file/JTA6CLJ8T5/20BD9A4B9A804367B58B88F34043DD54
work_keys_str_mv AT cennetyıldız comparisonoffrequentistandbayesianapproachesonsamplesizemethodologicstudy
AT erayyurtseven comparisonoffrequentistandbayesianapproachesonsamplesizemethodologicstudy
AT fatmanihanturhancaglar comparisonoffrequentistandbayesianapproachesonsamplesizemethodologicstudy
AT mehmetguvengunver comparisonoffrequentistandbayesianapproachesonsamplesizemethodologicstudy