Medical Statistics at a Glance

Höfundur Aviva Petrie; Caroline Sabin

Útgefandi Wiley Global Research (STMS)

Snið ePub

Print ISBN 9781119167815

Útgáfa 4

Útgáfuár 2020

4.790 kr.

Description

Efnisyfirlit

  • Cover
  • Also available to buy!
  • Preface
  • Part 1 Handling data
  • 1 Types of data
  • Data and statistics
  • Categorical (qualitative) data
  • Numerical (quantitative) data
  • Distinguishing between data types
  • Derived data
  • Censored data
  • 2 Data entry
  • Formats for data entry
  • Planning data entry
  • Categorical data
  • Numerical data
  • Multiple forms per patient
  • Problems with dates and times
  • Coding missing values
  • 3 Error checking and outliers
  • Typing errors
  • Error checking
  • Handling missing data
  • Outliers
  • References
  • 4 Displaying data diagrammatically
  • One variable
  • Two variables
  • Identifying outliers using graphical methods
  • The use of connecting lines in diagrams
  • 5 Describing data: the ‘average’
  • Summarizing data
  • The arithmetic mean
  • The median
  • The mode
  • The geometric mean
  • The weighted mean
  • 6 Describing data: the ‘spread’
  • Summarizing data
  • The range
  • Ranges derived from percentiles
  • The standard deviation
  • Variation within- and between-subjects
  • 7 Theoretical distributions: the Normal distribution
  • Understanding probability
  • The rules of probability
  • Probability distributions: the theory
  • The Normal (Gaussian) distribution
  • The Standard Normal distribution
  • 8 Theoretical distributions: other distributions
  • Some words of comfort
  • More continuous probability distributions
  • Discrete probability distributions
  • 9 Transformations
  • Why transform?
  • How do we transform?
  • Typical transformations
  • Part 2 Sampling and estimation
  • 10 Sampling and sampling distributions
  • Why do we sample?
  • Obtaining a representative sample
  • Point estimates
  • Sampling variation
  • Sampling distribution of the mean
  • Interpreting standard errors
  • SD or SEM?
  • Sampling distribution of the proportion
  • 11 Confidence intervals
  • Confidence interval for the mean
  • Confidence interval for the proportion
  • Interpretation of confidence intervals
  • Degrees of freedom
  • Bootstrapping and jackknifing
  • Reference
  • Part 3 Study design
  • 12 Study design I
  • Experimental or observational studies
  • Defining the unit of observation
  • Multicentre studies
  • Assessing causality
  • Cross-sectional or longitudinal studies
  • Controls
  • Bias
  • Reference
  • 13 Study design II
  • Variation
  • Replication
  • Sample size
  • Particular study designs
  • Choosing an appropriate study endpoint
  • References
  • 14 Clinical trials
  • Treatment comparisons
  • Primary and secondary endpoints
  • Subgroup analyses
  • Treatment allocation
  • Sequential trials
  • Blinding or masking
  • Patient issues
  • The protocol
  • References
  • 15 Cohort studies
  • Selection of cohorts
  • Follow-up of individuals
  • Information on outcomes and exposures
  • Analysis of cohort studies
  • Advantages of cohort studies
  • Disadvantages of cohort studies
  • Study management
  • Clinical cohorts
  • 16 Case–control studies
  • Selection of cases
  • Selection of controls
  • Identification of risk factors
  • Matching
  • Analysis of unmatched or group-matched case–control studies
  • Analysis of individually matched case–control studies
  • Advantages of case–control studies
  • Disadvantages of case–control studies
  • References
  • Part 4 Hypothesis testing
  • 17 Hypothesis testing
  • Defining the null and alternative hypotheses
  • Obtaining the test statistic
  • Obtaining the P-value
  • Using the P-value
  • Non-parametric tests
  • Which test?
  • Hypothesis tests versus confidence intervals
  • Equivalence and non-inferiority trials
  • References
  • 18 Errors in hypothesis testing
  • Making a decision
  • Making the wrong decision
  • Power and related factors
  • Multiple hypothesis testing
  • References
  • Part 5 Basic techniques for analysing data
  • 19 Numerical data: a single group
  • The problem
  • The one-sample t-test
  • The sign test
  • 20 Numerical data: two related groups
  • The problem
  • The paired t-test
  • The Wilcoxon signed ranks test
  • Reference
  • 21 Numerical data: two unrelated groups
  • The problem
  • The unpaired (two-sample) t-test
  • The Wilcoxon rank sum (two-sample) test
  • Reference
  • 22 Numerical data: more than two groups
  • The problem
  • One-way analysis of variance
  • The Kruskal–Wallis test
  • References
  • 23 Categorical data: a single proportion
  • The problem
  • The test of a single proportion
  • The sign test applied to a proportion
  • 24 Categorical data: two proportions
  • The problems
  • Independent groups: the Chi-squared test
  • Related groups: McNemar’s test
  • Reference
  • 25 Categorical data: more than two categories
  • Chi-squared test: large contingency tables
  • Chi-squared test for trend
  • 26 Correlation
  • Pearson correlation coefficient
  • Spearman’s rank correlation coefficient
  • 27 The theory of linear regression
  • What is linear regression?
  • The regression line
  • Method of least squares
  • Assumptions
  • Analysis of variance table
  • Regression to the mean
  • 28 Performing a linear regression analysis
  • The linear regression line
  • Drawing the line
  • Checking the assumptions
  • Failure to satisfy the assumptions
  • Outliers and influential points
  • Assessing goodness of fit
  • Investigating the slope
  • Using the line for prediction
  • Improving the interpretation of the model
  • 29 Multiple linear regression
  • What is it?
  • Why do it?
  • Assumptions
  • Categorical explanatory variables
  • Analysis of covariance
  • Choice of explanatory variables
  • Analysis
  • Outliers and influential points
  • Reference
  • 30 Binary outcomes and logistic regression
  • Reasoning
  • The logistic regression equation
  • The explanatory variables
  • Assessing the adequacy of the model
  • Comparing the odds ratio and the relative risk
  • Multinomial and ordinal logistic regression
  • Conditional logistic regression
  • References
  • 31 Rates and Poisson regression
  • Rates
  • Poisson regression
  • 32 Generalized linear models
  • Which type of model do we choose?
  • Likelihood and maximum likelihood estimation
  • Assessing adequacy of fit
  • Regression diagnostics
  • 33 Explanatory variables in statistical models
  • Nominal explanatory variables
  • Ordinal explanatory variables
  • Numerical explanatory variables
  • Selecting explanatory variables
  • Interaction
  • Collinearity
  • Confounding
  • 34 Bias and confounding
  • Bias
  • Confounding
  • References
  • 35 Checking assumptions
  • Why bother?
  • Are the data Normally distributed?
  • Are two or more variances equal?
  • Are variables linearly related?
  • What if the assumptions are not satisfied?
  • Sensitivity analysis
  • References
  • 36 Sample size calculations
  • The importance of sample size
  • Requirements
  • Methodology
  • Altman’s nomogram
  • Quick formulae
  • Power statement
  • Adjustments
  • Increasing the power for a fixed sample size
  • References
  • 37 Presenting results
  • Numerical results
  • Tables
  • Diagrams
  • Presenting results in a paper
  • References
  • Part 6 Additional chapters
  • 38 Diagnostic tools
  • Reference intervals
  • Diagnostic tests
  • 39 Assessing agreement
  • Measurement variability and error
  • Reliability
  • Categorical variables
  • Numerical variables
  • Reporting guidelines
  • References
  • 40 Evidence-based medicine
  • 1 Formulate the clinical question (PICO)
  • 2 Locate the relevant information (e.g. on diagnosis, prognosis or therapy)
  • 3 Critically appraise the methods in order to assess the validity (closeness to the truth) of the evidence
  • 4 Extract the most useful results and determine whether they are important
  • 5 Apply the results in clinical practice
  • 6 Evaluate your performance
  • References
  • 41 Methods for clustered data
  • Displaying the data
  • Comparing groups: inappropriate analyses
  • Comparing groups: appropriate analyses
  • Reference
  • 42 Regression methods for clustered data
  • Aggregate level analysis
  • Robust standard errors
  • Random effects models
  • Generalized estimating equations (GEE)
  • References
  • 43 Systematic reviews and meta-analysis
  • The systematic review
  • Meta-analysis
  • References
  • 44 Survival analysis
  • Censored data
  • Displaying survival data
  • Summarizing survival
  • Comparing survival
  • Problems encountered in survival analysis
  • Reference
  • 45 Bayesian methods
  • The frequentist approach
  • The Bayesian approach
  • Diagnostic tests in a Bayesian framework
  • Disadvantages of Bayesian methods
  • Reference
  • 46 Developing prognostic scores
  • Why do we do it?
  • Assessing the performance of a prognostic score
  • Developing prognostic indices and risk scores for other types of data
  • Reporting guidelines
  • Appendices
  • Appendix A: Statistical tables
  • Reference
  • Appendix B: Altman’s nomogram for sample size calculations (Chapter 36)
  • Appendix C: Typical computer output
  • Appendix D: Checklists and trial profile from the EQUATOR network and critical appraisal templates
  • Equator Network Statements
  • Critical Appraisal Templates
  • Reference
  • Appendix E: Glossary of terms
  • Appendix F: Chapter numbers with relevant multiple-choice questions and structured questions from Medical Statistics at a Glance Workbook
  • Index
  • End User License Agreement
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