Clinical Data Analysis on a Pocket Calculator: Understanding the Scientific Methods of Statistical Reasoning and Hypothesis Testing

ISBN-13: 9783319800745 / Angielski / Miękka / 2018 / 334 str.

Ton J. Cleophas; Aeilko H. Zwinderman

Opis

This book covers all relevant pocket calculator statistical methods, making it an ideal resource for those who wish to understand statistics but have no time for complex mathematics. It helps facilitate data analysis by detailing pocket calculator methods.

Spis treści

Preface

I Continuous Outcome Data                                                                                                                     

1 Data Spread, Standard Deviations               

2 Data Summaries: Histograms, Wide and Narrow Gaussian Curves     

3 Null-Hypothesis Testing with Graphs

4 Null-Hypothesis Testing with the T-table   

5 One-Sample Continuous Data (One-Sample T-Test, One-Sample Wilcoxon  

6 Paired Continuous Data (Paired T-Test, Two-Sample Wilcoxon Signed Rank Test)

7 Unpaired Continuous Data (Unpaired T-Test, Mann-Whitney)

8 Linear Regression (Regression Coefficients, Correlation Coefficients, and their   Standard Errors)

9 Kendall-Tau Regression for Ordinal Data  

10 Paired Continuous Data, Analysis with Help of Correlation Coefficients         

11 Power Equations           

12 Sample Size Calculations            

13 Confidence Intervals

14 Equivalence Testing instead of Null-Hypothesis Testing      

15 Noninferiority Testing instead of Null-Hypothesis Testing      

16 Superiority Testing instead of Null-Hypothesis Testing

17 Missing Data Imputation            

18 Bonferroni  Adjustments             

19 Unpaired Analysis of Variance (ANOVA)               

20 Paired Analysis of Variance (ANOVA)     

21 Variability Analysis for One or Two Samples             

22 Variability Analysis for Three or More Samples     

23 Confounding 

24 Propensity Score and Propensity Score Matching for Multiple Confounders      

25 Interaction        

26 Accuracy and Reliability Assessments     

27 Robust Tests for Imperfect Data               

28 Non-linear Modeling on a Pocket Calculator          

29 Fuzzy Modeling for Imprecise and Incomplete Data            

30 Bhattacharya Modeling for Unmasking Hidden Gaussian Curves    

31 Item Response Modeling instead of Classical Linear Analysis of Questionnaires           

32 Meta-Analysis                1

33 Goodness of Fit Tests for Identifying Nonnormal Data        

34 Non-Parametric Tests for Three or More Samples (Friedman and Kruskal-Wallis)         

 

II Binary Outcome Data

 

35 Data Spread: Standard Deviation, One Sample Z- Test, One Sample Binomial  

    Test   

36 Z-Tests            

37 Phi Tests for Nominal Data        

38 Chi-Square Tests           

39 Fisher Exact Tests Convenient for Small Samples 

40 Confounding 

41 Interaction     

42 Chi-square Tests for Large Cross-Tabs    

43 Logarithmic Transformations, a Great Help to Statistical Analyses  

44 Odds Ratios, a Short-Cut for Analyzing Cross-Tabs             

45 Logodds, the Basis of Logistic Regression               

46 Log Likelihood Ratio Tests for the Best Precision  

47 Hierarchical Loglinear Models for Higher Order Cross-Tabs               

48 McNemar Tests for Paired Cross-Tabs     

49 McNemar Odds Ratios

50 Power Equations           

51 Sample Size Calculations                            

52 Accuracy Assessments

53 Reliability Assessments               

54 Unmasking Fudged Data            

55 Markov Modeling for Predictions outside the Range of Observations               

56 Binary Partitioning with CART (Classification and Regression Tree) Methods               

57 Meta-Analysis               

58 Physicians' Daily Life and the Scientific Method   

59 Incident Analysis and the Scientific Method          

60 Cochran Tests for Large Paired Cross-Tabs            

Index

O autorze

The authors are well-qualified in their field. Professor Zwinderman is past-president of the International Society of Biostatistics (2012-2015), and Professor Cleophas is past-president of the American College of Angiology (2000-2002). From their expertise they should be able to make adequate selections of modern methods for clinical data analysis for the benefit of physicians, students, and investigators. The authors have been working and publishing together for 17 years, and their research can be characterized as a continued effort to demonstrate that clinical data analysis is not mathematics but rather a discipline at the interface of biology and mathematics.

The authors as professors and teachers in statistics at universities in The Netherlands and France for the most part of their lives, are convinced that the scientific method of statistical reasoning and hypothesis testing is little used by physicians and other health workers, and they hope that the current production will help them find the appropriate ways for answering their scientific questions.   

Three textbooks complementary to the current production and written by the same authors are Statistics applied to clinical studies 5th edition, 2012, Machine learning in medicine a complete overview, 2015, SPSS for starters and 2nd levelers, 2015, all of them edited by Springer Heidelberg Germany.

Blurb

In everyone's life the day comes that medical and health care has the highest priority. It is unbelievable, that a field, so important, uses the scientific method so little. The current book is helpful for implementation of the scientific method in the daily life of medical and health care workers. From readers' comments to the first editions of this work, the authors came to realize that statistical software programs is experienced by professionals in the field as black box programs producing lots of p-values, but little answers to scientific questions, and many readers had not been happy with that situation. The pocket calculator analyses appeared to be, particularly, appreciated, because they enabled readers for the first time to understand the scientific methods of statistical reasoning and hypothesis testing. So much so, that it started something like a new dimension in their professional world.

We should add a number of statistical methods can be performed more easily on a pocket calculator, than using a software program. Also, there are some specific advantages of the pocket calculator method. You better understand what you are doing. The pocket calculator works faster, because far less steps have to be taken, averages can be used. With statistical software all individual data have to be included separately, a time-consuming activity in case of large data files. Some analytical methods, for example, power calculations and required sample size calculations are difficult on a statistical software program, and easy on a pocket calculator.

The reason for a rewrite was to give updated and upgraded versions of the forty chapters from the first editions, including the valuable comments of readers. Like in the textbook complementary to the current work, entitled "SPSS for Starters and 2nd Levelers" (Springer Heidelberg 2015, from the same authors), an improved structure of the chapters was produced, including background, main purpose, scientific question, schematic overview of data files, and reference sections. In addition, for the analysis of more complex data twenty novel chapters were written. We showed that, also here, a pocket calculator can be very helpful.

For the readers' convenience the chapters have been reclassified according to the most basic difference in data characteristics: continuous outcome data (34 chapters), binary outcome data (26 chapters). Both hypothesized and real data examples are used to explain the sixty pocket calculator methods described. The arithmetic is of a no-more-than high-school level.