Preface |
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xiii | |
Acknowledgements |
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xvii | |
1 Introduction |
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1 | (4) |
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1.1 What is a Biomarker?, |
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1 | (1) |
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1.2 Biomarkers Versus Surrogate Endpoints, |
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2 | (1) |
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1.3 Organization of This Book, |
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3 | (2) |
2 Designing Biomarker Studies |
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5 | (16) |
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5 | (1) |
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6 | (7) |
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2.2.1 The Exposure-Disease Association, |
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6 | (1) |
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2.2.2 Cross-sectional Studies, |
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7 | (1) |
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2.2.3 Case-Control Studies, |
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7 | (2) |
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2.2.4 Retrospective Cohort Studies, |
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9 | (1) |
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2.2.5 Prospective Cohort Studies, |
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9 | (1) |
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2.2.6 Observational Studies, |
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10 | (1) |
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2.2.7 Randomized Controlled Trials, |
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11 | (2) |
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2.3 Designing the Analysis, |
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13 | (5) |
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2.3.1 Choosing the Appropriate Measure of Association, |
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15 | (1) |
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2.3.1.1 Odds Ratio versus Risk Ratio, |
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15 | (1) |
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2.3.1.2 Consequences of Not Choosing the Appropriate Measure of Association, |
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16 | (1) |
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2.3.2 Choosing the Appropriate Statistical Analysis, |
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16 | (1) |
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2.3.3 Choosing the Appropriate Sample Size, |
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17 | (1) |
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2.4 Presenting Statistical Results, |
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18 | (2) |
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20 | (1) |
3 Elementary Statistical Methods for Analyzing Biomarker Data |
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21 | (51) |
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21 | (1) |
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3.2 Graphical and Tabular Summaries, |
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21 | (5) |
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3.3 Descriptive Statistics, |
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26 | (5) |
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3.4 Describing the Shape of Distributions, |
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31 | (2) |
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3.5 Sampling Distributions, |
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33 | (1) |
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3.6 Introduction to Statistical Inference, |
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34 | (9) |
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3.6.1 Point Estimation and Confidence Interval Estimation, |
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34 | (4) |
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3.6.2 Hypothesis Testing, |
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38 | (5) |
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3.7 Comparing Means Across Groups, |
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43 | (7) |
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3.7.1 Two Group Comparisons, |
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44 | (1) |
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3.7.2 Multiple-Group Comparisons, |
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45 | (5) |
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3.8 Correlation Analysis, |
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50 | (2) |
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52 | (9) |
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3.9.1 Simple Linear Regression, |
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52 | (3) |
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3.9.2 Multiple Regression, |
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55 | (3) |
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3.9.3 Analysis of Covariance, |
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58 | (3) |
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3.10 Analyzing Cross-Classified Data, |
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61 | (8) |
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3.10.1 Testing for Independence, |
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61 | (4) |
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3.10.2 Comparison of Proportions, |
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65 | (4) |
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69 | (3) |
4 Frequently Encountered Challenges in Analyzing Biomarker Data and How to Deal with Them |
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72 | (183) |
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72 | (1) |
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4.2 Non-Normally Distributed Data, |
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73 | (40) |
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4.2.1 The Effects of Non-Normality, |
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73 | (1) |
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4.2.2 Testing Distributional Assumptions, |
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74 | (12) |
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4.2.2.1 Graphical Methods for Assessing Normality, |
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74 | (7) |
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4.2.2.2 Measures of Skewness and Kurtosis, |
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81 | (2) |
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4.2.2.3 Formal Hypothesis Tests of the Normality Assumption, |
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83 | (3) |
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4.2.3 Remedial Measures for Violation of a Distributional Assumption, |
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86 | (27) |
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4.2.3.1 Choosing a Transformation, |
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86 | (6) |
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4.2.3.2 Using a Robust Statistical Procedure, |
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92 | (1) |
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4.2.3.3 Distribution-Free Alternatives, |
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93 | (20) |
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4.3 Heterogeneity of Variance, |
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113 | (9) |
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4.3.1 The Effects of Heterogeneity, |
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113 | (1) |
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4.3.2 The Importance of Heterogeneity in the Comparison of Means, |
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113 | (9) |
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4.3.2.1 Comparisons of Two Groups, |
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113 | (3) |
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4.3.2.2 Comparisons of More Than Two Groups, |
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116 | (2) |
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4.3.2.3 Multiple Comparisons, |
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118 | (4) |
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122 | (22) |
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4.4.1 The Consequences of Ignoring Dependence Among Groups, |
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122 | (2) |
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4.4.2 Comparing Two Dependent Means, |
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124 | (10) |
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124 | (3) |
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4.4.2.2 Wilcoxon Signed Ranks Test, |
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127 | (1) |
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128 | (6) |
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4.4.3 Tests of Dependent Proportions, |
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134 | (10) |
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134 | (4) |
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4.4.3.2 Cochran's Q test, |
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138 | (4) |
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4.4.3.3 Sample Size and Power Considerations, |
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142 | (2) |
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144 | (40) |
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4.5.1 Choosing the Appropriate Measure of Association, |
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144 | (4) |
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144 | (2) |
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146 | (2) |
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4.5.2 Recommended Methods of Statistical Analysis for Correlation Coefficients, |
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148 | (8) |
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4.5.3 Recommended Methods for Interpreting Correlation Coefficient Results, |
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156 | (1) |
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4.5.4 Sample Size Issues in Correlation Analysis, |
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157 | (14) |
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4.5.5 Comparison of Correlation Coefficients, |
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171 | (10) |
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4.5.5.1 Comparison of Independent Correlation Coefficients, |
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172 | (2) |
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4.5.5.2 Comparison of Dependent Correlation Coefficients, |
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174 | (7) |
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4.5.6 Sample Size Issues When Comparing Two Correlation Coefficients, |
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181 | (18) |
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4.5.6.1 Sample Size Issues When Comparing Independent Correlation Coefficients, |
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181 | (2) |
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4.5.6.2 Sample Size Issues When Comparing Dependent Correlation Coefficients, |
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183 | (1) |
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184 | (15) |
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199 | (9) |
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4.7.1 The Effects of Outliers, |
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199 | (1) |
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4.7.2 Detection of Outliers, |
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199 | (8) |
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4.7.3 Methods for Accommodating Outliers, |
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207 | (1) |
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4.8 Limits of Detection and Non-Detected Observations, |
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208 | (13) |
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4.8.1 Statistical Inference When NDs Are Present, |
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210 | (1) |
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4.8.2 Maximum Likelihood Estimation of a Correlation Coefficient When Both X and Y Are Subject to Non-Detects, |
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210 | (2) |
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4.8.3 Comparison of Confidence Interval Methods for Correlation Coefficients When Both Variables Are Subject to Limits of Detection, |
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212 | (9) |
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4.9 The Analysis of Cross-Classified Categorical Data, |
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221 | (25) |
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4.9.1 Choosing the Appropriate Measure of Association, |
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221 | (4) |
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221 | (2) |
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223 | (1) |
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224 | (1) |
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4.9.1.4 Odds Ratio for Paired Data, |
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225 | (1) |
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4.9.2 Choosing the Appropriate Statistical Analysis, |
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225 | (1) |
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4.9.3 Choosing the Appropriate Sample Size, |
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226 | (1) |
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4.9.4 Choosing a Statistical Method When Both the Predictor and the Outcome Are Dichotomous, |
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226 | (11) |
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4.9.4.1 Comparing Two Independent Groups in Terms of a Binomial Proportion, |
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226 | (4) |
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4.9.4.2 Exact Test for Independence of Rows and Columns in a 2 x 2 Table, |
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230 | (2) |
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4.9.4.3 Exact Inference for Odds Ratios, |
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232 | (2) |
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4.9.4.4 Inference for the Odds Ratio for Paired Data, |
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234 | (3) |
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4.9.5 Choice of a Statistical Method When the Predictor Is Ordinal and the Outcome is Dichotomous, |
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237 | (3) |
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4.9.5.1 Tests for a Significant Trend in Proportions, |
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237 | (3) |
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4.9.6 Choice of a Statistical Method When Both the Predictor and the Outcome are Ordinal, |
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240 | (3) |
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4.9.6.1 Test for Linear-by-Linear Association, |
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240 | (3) |
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4.9.7 Choice of a Statistical Method When Both the Predictor and the Outcome are Nominal, |
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243 | (14) |
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4.9.7.1 Fisher-Freeman-Halton Test, |
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243 | (3) |
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246 | (9) |
5 Validation of Biomarkers |
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255 | (77) |
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5.1 Overview of Methods for Assessing Characteristics of Biomarkers, |
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255 | (2) |
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5.2 General Description of Measures of Agreement, |
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257 | (30) |
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5.2.1 Discrete Variables, |
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257 | (18) |
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257 | (8) |
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5.2.1.2 Extensions of Coefficient Kappa, |
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265 | (8) |
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273 | (2) |
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5.2.2 Continuous Variables, |
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275 | (12) |
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5.2.2.1 Pearson's Correlation Coefficient, |
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275 | (2) |
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5.2.2.2 Alternatives to Pearson's Correlation Coefficient, |
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277 | (10) |
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5.3 Assessing Reliability of a Biomarker, |
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287 | (7) |
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5.3.1 General Considerations, |
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287 | (1) |
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5.3.2 Assessing Reliability of a Dichotomous Biomarker, |
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287 | (4) |
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5.3.2.1 Dichotomous Biomarker, More Than Two Raters, |
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289 | (2) |
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5.3.3 Assessing Reliability of a Continuous Biomarker, |
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291 | (1) |
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5.3.4 Assessing Inter-Subject, Intra-Subject, and Analytical Measurement Variability, |
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292 | (2) |
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294 | (35) |
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5.4.1 General Considerations, |
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294 | (1) |
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5.4.2 Assessing Validity When a Gold Standard Is Available, |
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295 | (19) |
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5.4.2.1 Dichotomous Biomarkers, |
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295 | (7) |
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5.4.2.2 Comparing Several Dichotomous Biomarkers, |
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302 | (2) |
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5.4.2.3 Continuous Biomarkers, |
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304 | (10) |
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5.4.3 Assessing Validity When a Gold Standard Is Not Available, |
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314 | (14) |
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5.4.3.1 Dichotomous Biomarkers, |
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315 | (4) |
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5.4.3.2 Continuous Biomarkers, |
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319 | (9) |
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5.4.4 Assessing Criterion Validity in Method Comparison Studies, |
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328 | (1) |
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5.4.5 Assessing Construct Validity in Method Comparison Studies, |
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329 | (1) |
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329 | (3) |
References |
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332 | (16) |
Solutions to Problems |
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348 | (43) |
Index |
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391 | |