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List of Statistical Notations: Commonly Used Names and Symbols |
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Foreword |
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xi | |
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Preface |
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xv | |
Acknowledgments |
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xxi | |
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1 | (4) |
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5 | (13) |
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5 | (1) |
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The Diagnosis of the Disorder |
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6 | (2) |
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Diagnostic and Prognostic Tests |
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8 | (1) |
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9 | (5) |
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The Prevalence and Reproducibility of the Diagnosis |
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14 | (1) |
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High- and Low-Risk Populations |
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15 | (1) |
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Pre- and Posttest Risk, Prevalence, and Incidence: Confusing Terms |
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16 | (1) |
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17 | (1) |
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Definition: Test Protocol, Response, Referent |
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18 | (5) |
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20 | (1) |
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21 | (2) |
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Families of Test Referents |
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23 | (3) |
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Definitions: Base and Family |
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23 | (2) |
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A Special Family: Multiple Discriminant Rules |
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25 | (1) |
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25 | (1) |
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26 | (37) |
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Outcomes: True and False Positives and Negatives |
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26 | (2) |
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28 | (1) |
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29 | (4) |
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Descriptors of Outcomes: Sensitivity, Specificity, Predictive Values, and Efficiency |
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33 | (1) |
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34 | (6) |
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The Two-by-Two Chi-Square Test |
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40 | (4) |
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44 | (5) |
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49 | (4) |
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53 | (4) |
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57 | (1) |
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Pseudo-Retrospective Sampling: An Invalid Approach |
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58 | (3) |
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61 | (2) |
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Sensitivity and Specificity: The Signal Detection Approach |
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63 | (33) |
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Problems with Sensitivity and Specificity |
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63 | (2) |
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65 | (6) |
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The Receiver Operating Characteristic Curve (Test ROC) |
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71 | (4) |
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The Quality Receiver Operating Characteristic Curve (QROC) |
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75 | (2) |
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77 | (5) |
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What Is a Good Test? The Diagnosis ROC, QROC |
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82 | (4) |
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What Is the Ideal Test? The Disorder ROC, QROC |
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86 | (5) |
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Thc Myth of the Constancy of Sensitivity and Specificity |
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91 | (3) |
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94 | (2) |
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Predictive Values: The Bayesian Approach, Risk Ratios, and Odds Ratio |
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96 | (18) |
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Problems with Predictive Values |
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96 | (2) |
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98 | (2) |
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A Geometric Approach: The Test QROC |
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100 | (3) |
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Risk Ratios, Odds Ratio, and the Test QROC |
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103 | (10) |
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113 | (1) |
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Efficiency: Choosing Clinically Optimal Tests |
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114 | (17) |
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The Problem with Efficiency |
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114 | (1) |
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115 | (4) |
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Consideration of Medical Consequences of Errors: The Weighted Kappa Coefficient |
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119 | (4) |
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A Geometric Approach: The Test QROC |
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123 | (6) |
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129 | (2) |
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Taking Test Costs into Account: Costworthy Tests |
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131 | (24) |
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131 | (4) |
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135 | (10) |
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Derivation of the Quality Index k(r,t) |
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135 | (3) |
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The Benefit Threshold of a Medical Test |
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138 | (2) |
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Full Evaluation of a Test Family |
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140 | (5) |
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A Geometric Approach: The QCROC |
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145 | (4) |
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The Costs and Risks of Too Much Information |
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149 | (2) |
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Informed Consent for Medical Tests |
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151 | (2) |
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153 | (2) |
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Basic Issues in Using Multiple Tests |
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155 | (10) |
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155 | (1) |
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Tests in Parallel or Tests in Sequence |
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156 | (5) |
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The Quality of Combined Tests |
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161 | (2) |
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When Should a Test Be Repeated? |
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163 | (1) |
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Should a Test Be Done Blind to Previous Test Results? |
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163 | (1) |
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164 | (1) |
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Evaluating Batteries of Medical Tests: Optimal Sequences |
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165 | (34) |
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165 | (1) |
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166 | (4) |
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Compiling the Raw Data Base |
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170 | (6) |
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Compiling the Working Data Base |
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176 | (3) |
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Selection of the Optimal First Test and Reiteration |
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179 | (1) |
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180 | (5) |
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Testing the Quality Index Using a Statistical Jackknife |
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185 | (2) |
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Completing the Search for the Optimal Battery Structure |
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187 | (1) |
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The Final Recommendation for Battery Structure |
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188 | (5) |
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193 | (1) |
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194 | (5) |
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Evaluating Batteries of Medical Tests: Optimal Scores |
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199 | (29) |
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199 | (5) |
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204 | (5) |
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Multiple Linear Discrimination |
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209 | (7) |
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Logistic Regression Analysis |
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216 | (6) |
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Some Practical Considerations in Choosing and Using Models |
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222 | (5) |
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227 | (1) |
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Evaluating Batteries of Prognostic Tests with Variable Follow up Times |
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228 | (38) |
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228 | (3) |
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231 | (3) |
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Ignoring the Problem of Variable Follow-up: A Possibly Invalid Approach |
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234 | (1) |
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Counting Time and Not Patients: Another Possibly Invalid Procedure |
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234 | (5) |
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Tailoring the Data to Fit the Solution: An Invalid and Inefficient Approach |
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239 | (2) |
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Estimating Survival Curves with Variable Follow-up Times: The Kaplan-Meier Method |
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241 | (6) |
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Some General Observations on the Choice of Follow-up Time and Its Impact on Test Evaluation |
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247 | (3) |
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Evaluating a Family of Prognostic Tests with a Variable Follow-up Time |
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250 | (6) |
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An Alternative? Randomized Clinical Trials for the Evaluation of Screening Programs (Test + Intervention) for Prevention |
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256 | (3) |
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Evaluating a Battery of Prognostic Tests with Variable Follow-up Periods: Sequential Structuring |
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259 | (1) |
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Evaluating a Battery of Prognostic Tests Using Variable Follow-up: Scoring a Battery with the Proportional Hazards Model |
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259 | (4) |
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263 | (3) |
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Evaluation of Medical Tests: The Past, Present, and Future |
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266 | (20) |
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Introduction: The Past and the Present |
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266 | (6) |
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The Future: Unsolved Problems |
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272 | (4) |
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Problem: Evaluation of Monitoring Tests |
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272 | (1) |
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Problem: Multicategory Responses |
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273 | (1) |
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274 | (1) |
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275 | (1) |
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The Present: An Overall Summary |
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276 | (10) |
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What Is the Disorder? What Diagnosis Is to Be Used? Is the Diagnosis Clinically Valid and Reliable? |
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276 | (1) |
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In What Clinical Population or Populations Is the Test Proposed for Use? How Can the Sampling Be Done so as to Obtain a Representative Sample from That Population or Populations? |
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277 | (1) |
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If the Test Is to Be Evaluated as a Prognostic Test, Will the Follow-up Be Fixed or Variable? If the Follow-up Is to Be Fixed, Fixed at What Time? |
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277 | (1) |
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Will Sampling Be Naturalistic, Retrospective, or Prospective? |
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277 | (1) |
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How Large a Sample Is Needed? |
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278 | (1) |
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How Are Dropouts and Missing Responses Avoided? |
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278 | (1) |
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What Are the Clinical Benefits in this Situation? |
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279 | (1) |
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What Are the Tests under Evaluation--Their Protocols, Responses, and Referents? What Are the Test Costs? If This is a Single Test (a Single Fixed Cost for All the Responses) or Is This to Be Considered a Battery of Tests (Separable Costs)? |
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279 | (1) |
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How Are the Blinding of the Diagnosis and Test Results Assured? If There Are Multiple Tests in a Battery under Evaluation, Are These Blinded to Each Other? |
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280 | (1) |
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Is There any Internal or External Standard Provided for the Performance of an Excellent Test? |
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280 | (1) |
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Was the Data Base Properly Compiled and Thoroughly Checked for Errors? |
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281 | (1) |
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For Each Single Test under Evaluation, for Each Test in the Battery Under Evaluation, and for Each Population Under Evaluation, Have the Descriptive Statistics Been Properly Computed? |
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282 | (1) |
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What Is the Quality of Each Single Test Under Evaluation, and for Each Population Under Evaluation (and in an Evaluation of a Prognostic Test with Variable Follow-up Time, for Each Possible Value of Follow-up Time)? |
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282 | (2) |
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Has the Optimal Referent for a Test, or the Optimal First Test in a Battery of Tests Been Appropriately Selected? |
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284 | (1) |
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If There Is a Battery of Tests Under Consideration, Has the Battery Been Appropriately Evaluated? |
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285 | (1) |
References |
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286 | (5) |
Index |
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291 | (4) |
About the Author |
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295 | |