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1 The Field of Application |
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1 | (30) |
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1.1 The role of the consulting statistician |
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1 | (1) |
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1.2 A challenging problem in differential diagnosis |
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2 | (4) |
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1.3 Identifying the problem |
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6 | (2) |
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1.4 Communication with practitioners |
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8 | (1) |
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1.5 Components of the medical process |
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9 | (4) |
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13 | (3) |
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16 | (1) |
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17 | (1) |
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18 | (2) |
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20 | (3) |
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23 | (1) |
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24 | (1) |
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25 | (6) |
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2 Relating the Present Patient to Past Experience |
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31 | (14) |
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31 | (1) |
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32 | (1) |
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2.3 Data set of past experience |
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32 | (1) |
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33 | (1) |
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33 | (1) |
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2.6 Referral and selection |
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34 | (1) |
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2.7 Referral of the present patient R |
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34 | (1) |
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2.8 Selection on the basis of v |
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35 | (2) |
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2.9 Selection independently with respect to v and u |
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37 | (1) |
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2.10 Referral and selection for assay |
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38 | (1) |
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2.11 Referral and selection for genetic counselling |
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39 | (1) |
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40 | (1) |
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41 | (4) |
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3 A Review of Statistical Methodology |
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45 | (32) |
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45 | (1) |
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3.2 Maximal parametric modelling |
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45 | (1) |
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3.3 Standard distributions |
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46 | (2) |
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3.4 Multivariate normal regression model |
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48 | (2) |
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50 | (2) |
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3.6 Categorical regression modelling |
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52 | (5) |
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54 | (1) |
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3.6.2 The d-category model |
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55 | (2) |
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3.7 Lattice testing towards a working model |
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57 | (1) |
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3.8 Testing a single hypothesis |
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57 | (2) |
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3.9 The lattice of hypotheses |
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59 | (1) |
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3.10 Testing within a lattice |
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59 | (3) |
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3.11 Measures of atypicality |
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62 | (6) |
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3.11.1 The multivariate normal model |
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63 | (1) |
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3.11.2 Extrapolation index |
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63 | (1) |
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3.11.3 The logistic regression model |
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64 | (4) |
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3.12 Concordance of data and model |
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68 | (4) |
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3.12.1 Tests of normality |
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68 | (1) |
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3.12.2 Transformations to normality |
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69 | (2) |
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71 | (1) |
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3.12.4 Regression diagnostics |
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71 | (1) |
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3.12.5 Influence in terms of Kullback-Liebler divergences |
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72 | (1) |
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72 | (2) |
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74 | (3) |
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4 Further Statistical Methodology |
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77 | (36) |
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77 | (1) |
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4.2 Compositional regression analysis |
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77 | (4) |
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4.2.1 The nature of compositional data |
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77 | (1) |
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4.2.2 Covariance structures for compositions |
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78 | (2) |
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4.2.3 Parametric classes of distributions on the simplex |
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80 | (1) |
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4.2.4 A methodology for compositional data analysis |
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81 | (1) |
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4.2.5 Assessment of conditional distributions for the compositional regression model |
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81 | (1) |
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4.3 The complete separation problem |
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81 | (4) |
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4.3.1 Construction of a fair prior |
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82 | (3) |
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4.4 Diagnosis with tree-structured types |
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85 | (3) |
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88 | (1) |
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89 | (5) |
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94 | (11) |
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4.7.1 Unconstrained multivariate data |
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94 | (4) |
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98 | (3) |
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4.7.3 Coincident vertices and proportionality |
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101 | (1) |
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4.7.4 Subsets of vertices and subcompositional analysis |
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101 | (1) |
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4.7.5 Orthogonal links and subcoinpositional independence |
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102 | (1) |
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4.7.6 Composition markers |
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102 | (2) |
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4.7.7 Differences between unconstrained and compositional biplots |
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104 | (1) |
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4.8 Non-parametric modelling |
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105 | (4) |
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105 | (1) |
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4.8.2 Kernel density estimation of an unconditional density function |
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105 | (1) |
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4.8.3 Computation of atypicality indices |
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106 | (2) |
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4.8.4 Some typical kernels |
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108 | (1) |
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4.8.5 Kernel density estimation of a conditional kernel density function |
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108 | (1) |
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109 | (1) |
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109 | (4) |
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113 | (50) |
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113 | (1) |
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5.2 Single measurement variability |
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113 | (9) |
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5.2.1 Plasma concentration of potassium |
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114 | (4) |
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5.2.2 Urinary excretion rate of pregnenetriol |
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118 | (4) |
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5.3 Multiple measurement variability |
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122 | (19) |
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5.3.1 Cortisol-cortisone variability in bilateral hyperplasia |
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122 | (6) |
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5.3.2 Coagulation measurements in genetic counselling in haemophilia |
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128 | (6) |
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5.3.3 Experience of adenoma in Conn's syndrome |
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134 | (7) |
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5.4 Conditional variability |
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141 | (9) |
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5.4.1 Anti-diuretic hormone variability in healthy persons |
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141 | (4) |
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5.4.2 Calcium content of bones |
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145 | (5) |
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5.5 Compositional variability |
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150 | (4) |
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5.5.1 Ulcerative colitis and Crohn's disease |
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151 | (1) |
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5.5.2 Comparison of steroid metabolite concentrations in normal adults and children |
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152 | (2) |
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5.6 Multivariate binary data |
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154 | (1) |
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5.6.1 Describing experience in Keratoconjunctivitis sicca |
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154 | (1) |
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155 | (1) |
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156 | (7) |
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6 Observation and Measurement |
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163 | (24) |
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163 | (1) |
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6.2 The components of an observational problem |
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163 | (4) |
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6.3 An observer error study of a diagnostic ratio |
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167 | (5) |
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6.4 An observer error study of multivariate heart measurements |
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172 | (1) |
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6.5 An observer error study of cell counts |
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173 | (2) |
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6.6 A comparison of large and small X-rays for diagnosis |
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175 | (5) |
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180 | (1) |
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181 | (1) |
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182 | (5) |
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7 Indirect Measurement: Assay and Calibration |
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187 | (26) |
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187 | (3) |
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7.1.1 Simple linear calibration |
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188 | (1) |
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7.1.2 Non-linear calibration |
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189 | (1) |
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7.2 Calibration of methods for aldosterone |
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190 | (3) |
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193 | (2) |
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7.4 Calibration of foetal age by crown rump length |
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195 | (4) |
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7.5 Radioinnnumoassay of angiotensin II |
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199 | (3) |
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7.6 Calibration of tobramycin |
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202 | (4) |
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206 | (2) |
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208 | (1) |
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208 | (5) |
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213 | (30) |
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213 | (1) |
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8.2 Differential diagnosis in Conn's syndrome |
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214 | (9) |
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8.2.1 Logistic form of binary regression analysis |
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215 | (2) |
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217 | (2) |
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8.2.3 Normal form of binary regression analysis |
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219 | (1) |
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8.2.4 Diagnostic assessments for new cases |
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220 | (2) |
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8.2.5 Reliability curves for new cases |
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222 | (1) |
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8.2.6 General comments on the effectiveness of the diagnostic system |
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222 | (1) |
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8.3 Screening of rheumatoid arthritis patients |
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223 | (8) |
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8.3.1 Logistic binary regression model |
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224 | (4) |
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8.3.2 Weighted kernel diagnostic assessments |
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228 | (3) |
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8.3.3 Multivariate binary kernel diagnostic assessments |
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231 | (1) |
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8.3.4 Diagnostic assessments for new cases |
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231 | (1) |
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8.4 Genetic counselling and haemophilia |
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231 | (3) |
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8.4.1 Analysis of the family tree |
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232 | (1) |
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8.4.2 Analysis of the data set of coagulation measurement |
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233 | (1) |
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234 | (1) |
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235 | (1) |
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235 | (8) |
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9 Special Aspects of Diagnosis |
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243 | (36) |
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243 | (1) |
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9.2 Diagnostic system transfer |
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244 | (6) |
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250 | (5) |
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9.4 Imprecision in the feature vector |
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255 | (6) |
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9.4.1 Parametric modelling for two types |
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256 | (5) |
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9.5 Missing features: non-toxic goitre |
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261 | (3) |
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264 | (4) |
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268 | (3) |
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271 | (1) |
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271 | (8) |
10 Prognosis and Treatment |
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279 | (18) |
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279 | (3) |
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10.2 A prognostic study of paediatric head injury |
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282 | (2) |
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10.3 Prognosis and cervical cancer |
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284 | (1) |
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285 | (2) |
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10.4.1 Prediction of NEP Dose |
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286 | (1) |
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10.4.2 Incidence of side effects |
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287 | (1) |
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10.5 Cutaneous malignant melanoma |
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287 | (5) |
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10.5.1 Five-year survival |
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288 | (2) |
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10.5.2 Survival prospects |
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290 | (2) |
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292 | (1) |
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293 | (4) |
11 Assessment |
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297 | (24) |
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297 | (1) |
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11.2 Inferential tasks, statements and trials |
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298 | (1) |
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298 | (1) |
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11.2.2 Previous experience and training sets |
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299 | (1) |
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11.2.3 Inferential trials |
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299 | (1) |
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11.3 Measures of normative comparison |
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299 | (4) |
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11.3.1 Normative model and system |
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299 | (1) |
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11.3.2 Nature of comparisons |
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300 | (1) |
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11.3.3 Measures of performance |
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300 | (2) |
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11.3.4 Measures associated with normal assessments |
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302 | (1) |
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11.4 Sequential inferential tasks |
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303 | (3) |
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11.4.1 Subject assessment profiles for a sequential inferential task: Doctor's trilemma |
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303 | (3) |
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11.5 Some specific inferential tasks |
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306 | (4) |
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11.5.1 Diagnostic inferential tasks |
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306 | (1) |
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11.5.2 Predictive and prognostic inferential tasks |
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307 | (1) |
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11.5.3 Calibrative inferential tasks |
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308 | (2) |
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11.6 Distributions of inferential statements |
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310 | (1) |
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11.7 Two studies involving inferential tasks |
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311 | (5) |
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311 | (2) |
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11.7.2 Statistician's syndrome |
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313 | (3) |
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316 | (1) |
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317 | (4) |
Appendix A Data and Software |
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321 | (6) |
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321 | (1) |
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321 | (1) |
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321 | (1) |
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322 | (1) |
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A.5 Bilateral hyperplasia |
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322 | (1) |
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322 | (1) |
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322 | (1) |
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322 | (1) |
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323 | (1) |
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323 | (1) |
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323 | (1) |
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323 | (1) |
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A.13 Cutaneous malignant melanoma |
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324 | (1) |
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324 | (1) |
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324 | (1) |
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324 | (1) |
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325 | (1) |
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325 | (1) |
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A.19 Keratoconjunctivitis sicca |
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325 | (1) |
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325 | (1) |
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325 | (1) |
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326 | (1) |
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A.23 Statistician's syndrome |
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326 | (1) |
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326 | (1) |
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326 | (1) |
References |
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327 | (6) |
Author index |
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333 | (2) |
Subject index |
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335 | |