"Biostatistics deals with making sense of data. While statistical inference is essential in our application of the research findings to clinical decision-making regarding the care of our patients, statistical inference without clinical relevance or importance can be very misleading and even meaningless. This textbook has attempted to deemphasize p value in the interpretation of clinical and biomedical data by stressing the importance of confidence intervals, which allow for the quantification of evidence. For example, a large study due to a large sample size that minimizes variability may show a statistically significant difference while in reality the difference is too insignificant to warrant any clinical relevance. Covers these relevant topics in biostatistics: Design Process, Sampling & Reality in Statistical Modeling Basics of Biostatistical Reasoning & Inference Central Tendency Theorem & Measures of Dispersion Most commonly used & abused parametric test – t test Most commonly used & abused non-parametric test – chi squared statistic Sample size and power estimations Logistic/Binomial Regression Models – Binary Outcomes Time-to-Event Data - Survival Analysis & Count Data – Poisson Regression ANOVA, ANCOVA – Mixed Effects Model (Fixed and Random), RANOVA,GEE Simple & Multiple Linear Regression Models Correlation Analysis (Pearson & Spearman Rank) Clinical & Statistical Significance – p value as a function of sample size Clinical and biomedical researchers often ignore an important aspect of evidence discovery from their funded or unfunded projects. Since the attempt is to illustrate some sets of relationships from the data set, researchers often do not exercise substantial amount of time in assessing the reliability and validity of the data to be utilized in the analysis. However, the expected inference or the conclusion to be drawn is based on the analysis of the un-assessed data. Reality in statistical modeling of biomedical and clinical research data remains the focus of scientific evidence discovery, and this book. This text is written to highlight the importance of appropriate design prior to analysis by placing emphasis on subject selection and probability sample and the randomization process when applicable prior to the selection of the analytic tool. In addition, this book stresses the importance of biologic and clinical significance in the interpretation of study findings. The basis for statistical inference, implying the quantification of random error is random sample, which had been perpetually addressed in this book. When studies are conducted without a random sample, except when disease registries/databases or consecutive subjects are utilized, as often encountered in clinical and biomedical research, it is meaningless to report the findings with p value."
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"Laurens Holmes, Jr. Educated at the Catholic University of Rome, Italy , University of the Health Sciences, Antigua, School of Medicine, University of Amsterdam, Faculty of Medicine, and the University of Texas, Texas Medical Center, School of Public Health, Laurens (Larry) Holmes, Jr., is currently a clinical epidemiologist (Orthopedic Department), Head of the Epidemiology Laboratory at the Nemours Center for Childhood Cancer Research, and Chief Methodologist at the Nemours/A.I.duPont Children Hospital , Office of Health Equity & Inclusion. He is also an adjunct professor of clinical trials and molecular epidemiology at the Department of Biological Sciences, University of Delaware, Newark, DE. He is recognized for his work on epidemiology and control of prostate cancer, but has also published papers on other aspects of hormonally-related malignancies, cardiovascular and chronic disease epidemiology utilizing various statistical methods. Dr. Holmes is a strong proponent of reality in the statistical modeling of cancer and non-experimental research data, where he presents on the rationale for tabular analysis in most non-experimental research data which are often not randomly sampled, and hence meaningless to apply statistical inference to such data. Franklin Opara Dr. Opara completed his undergraduate from Texas Southern University, earned his master degree from George Washington University, then received his medical degree from UTESA- School of Medicine, Dominican Republic, and also obtained his doctorate degree from Walden University, Minnesota. Dr. Opara currently heads the Health Policy Research Division at the American Health Research Institute, and together with Dr. Holmes, he examines the role of race/ethnicity in geo-epidemiologic mapping of diseases. Within other positions, he has served as a Chief Consultant at Priority Women’s Health Alliance specialized in clinical issues in women’s healthcare. Dr. Opara is best recognized for his contributions in health disparities in cardiovascular and chronic diseases namely hypertension, and also clinical research designs and management in the areas of teen pregnancy, healthcare outcomes and injury prevention. He is a co-author and has published many papers in scientific journal on disparities in health outcomes."
Foreword, xi,
Preface, xv,
Acknowledgments, xix,
Introduction, xxiii,
Section I—Design Process Laurens Holmes, Jr., and Franklin Opara,
Chapter I Basics of Biomedical and Clinical Research, 1,
Chapter II Research Design: Experimental & Non-experimental Studies, 39,
Section II—Biostatistical Techniques and Modeling Laurens Holmes, Jr.,
Chapter III Population, Sample, Biostatistical Reasoning, Measures of Central Tendency and Probability Notion, 65,
Chapter IV Statistical Considerations in Clinical and Biomedical Research, 93,
Chapter V Study Size and Statistical Power Estimations, 139,
Chapter VI Single Sample Statistical Inference, 165,
Chapter VII Two Independent Samples Statistical Inference, 206,
Chapter VIII Statistical Inference in Three or More Samples, 232,
Chapter IX Statistical Inference Involving Relationships or Associations, 260,
About the Authors, 329,
Index, 333,
Basics of Biomedical and Clinical Research
Natural phenomenon while important in shaping clinical decisions or biomedical thinking remains subjective and non- generalizable knowledge. Therefore, to improve the care of future patients we must apply valid research methodology to natural phenomenon observation in order to obtain reliable inference that will guide practice beyond the sample of patients we studied.
—L. Holmes, Jr., Santa Monica, California, March 2013
Highlights: Clinical and biomedical research rationale, research question and hypothesis, sampling, sample size and power estimations, generalizability, screening test, NNT, NNH
INTRODUCTION
Biomedical and clinical research remain tools to understanding disease pathways, treatment modalities, and outcomes of care. While knowledge of biomedical sciences and clinical medicine is significant for advances in this field, the generation of such knowledge requires solid and reliable design processes as well as adequate statistical techniques. Biomedical and clinical research is conducted primarily to enhance therapeutics, implying the in- tent to improve patients' care. The application of this concept in biomedical sciences, public health, and clinical medicine signaled a departure from nihilism, which claimed that disease improved without therapy. The scientific medical discoveries on pellagra, diabetes mellitus, and antibiotics like penicillin and sulfonamide provide reliable data on medicinal benefits in therapeutics. Today, with biomedical and clinical research, clinical investigators applying reliable and valid research methodologies can demonstrate the efficacy and effectiveness of agents and devices, competing therapies, combination treatments, comparative effectiveness, and diagnostic and screening criteria for most diseases.
In claiming the advantage of therapeutics in medicine (complementary versus traditional), there is a need to understand the biological theories and the complexities of disease among clinical investigators, who may be expert physicians, as well as other health-care providers and those who are indeed researchers. While understanding the biological and clinical importance of a disease is essential in formulating the research question, the clinician is also expected to acquire statistical reasoning. The combination of these two models enhances the analysis and the interpretation of the data from clinical research. Therefore, in clinical research, there is an investigator (clinical) who examines the formal hypothesis or establishes the biology based on work in the clinical settings (experience, observation, and data), as well as another investigator (biostatistician/epidemiologist) whose contribution is to generalize observations from sample to target population, as well as combine empirical (observation and data) and theory-based knowledge (probability and determinism) with the understanding of the results of the study. Despite these distinctions, effective clinical and biomedical research involves the understanding of these two models of thinking or reasoning by the investigators, clinicians, and epidemiologists/biostatisticians. Without this integration, our effort toward the design and interpretation of research findings is limited, since making reasonable, accurate, and reliable inferences from data in the presence of uncertainty remains the cornerstone of clinical research results utilization for improving the health care of future patients. In stressing the essence of this integration, one is not claiming the relevance of statistical reasoning over biological and clinical importance, since clinical research thinking is fundamentally biologic, clinical, and statistical.
The approach to biomedical and clinical research involves research conceptualization, the design process, and statistical inference. In biomedical sciences, for example, the research conceptualization may involve therapeutics in mice or rats with cancer, and because of the similarities to human malignancies, these findings would be translational, and hence generalization (biologic) to human malignancies without a formal statistical model can be made. The design process may involve treated and untreated mice, with a follow-up time to determine the survival difference in the two groups. The statistical inference, given that adequate numbers (sample size and power estimations) of mice were studied, involves the use of Kaplan-Meir's survival estimates, as well as the log rank test for the equality of survival in these two groups. Finally, statistical stability is examined in ruling out random variation using p value (significance level) and 95 percent confidence interval (precision). A similar approach is utilized in clinical research that involves human subjects or patients in clinical settings. The research conceptualization in this context involves the clinical investigator or clinician utilizing his or her experience in the management of patients with malignancy (leukemia, for example), observation, and data to formulate hypotheses regarding therapeutics. A case-comparison/control design could be applied here in which the treated-group (cases) are placed on the new drug X, while comparison (control) are placed on a standard care drug Y and both are followed for the assessment of outcome (death or biochemical failure). The statistical inference and the interpretation of the results are similar to the example with mice and malignancy therapeutics. There are excellent books in study designs, including one by the authors of this book.
Historically, central to clinical research and therapeutics is the concept of disease screening and diagnostic testing. We can view the disease diagnosis as well as the diagnostic test as key elements in the ascertainment of subjects for clinical research. Inappropriate patient ascertainment may result in selection, information, and misclassification biases (discussed in subsequent chapters). This historical concept remains valid in research conduct and is the main material elaborated in this chapter. The sensitivity, specificity, predictive values, and likelihood ratios are described with examples. Thus, the validity of the results obtained in clinical research depend on how adequately the subjects were...
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