Preface |
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1 | (34) |
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1.1 Experimental design for a population proportion |
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1 | (5) |
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1.2 Further properties of the binomial distribution |
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6 | (2) |
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1.3 Statistical procedures for the binomial distribution |
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8 | (4) |
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1.4 The Poisson distribution |
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12 | (3) |
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1.5 Statistical procedures for the Poisson distribution |
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15 | (2) |
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1.6 The multinomial distribution |
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17 | (2) |
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1.7 Sir Ronald Fisher's conditioning result |
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19 | (1) |
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1.8 More general sampling models |
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20 | (2) |
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1.9 Generalising the binomial distribution |
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22 | (3) |
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1.10 The discrete exponential family of distributions |
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25 | (4) |
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1.11 Generalising the multinomial distribution |
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29 | (6) |
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30 | (5) |
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2 Two-by-Two Contingency Tables |
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35 | (30) |
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2.1 Conditional probability and independence |
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35 | (1) |
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2.2 Independence of rows and columns |
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36 | (1) |
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2.3 Investigating independence, given observational data |
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37 | (4) |
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41 | (3) |
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2.5 Log-contrasts and the multinomial distribution |
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44 | (1) |
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2.6 The log-measure-of-association test |
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45 | (3) |
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2.7 The product binomial model |
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48 | (3) |
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2.8 The independent Poisson model |
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51 | (5) |
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56 | (2) |
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2.10 Power properties of our test procedures |
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58 | (7) |
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59 | (6) |
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3 Simpson's Paradox and 23 Tables |
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65 | (20) |
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65 | (2) |
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3.2 The Cornish pixie/Irish leprechaun example |
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67 | (2) |
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3.3 Interpretation of Simpson's paradox |
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69 | (2) |
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3.4 The three-directional approach |
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71 | (4) |
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3.5 Measure of association analysis for 23 tables |
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75 | (3) |
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78 | (2) |
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3.7 Testing equality for two 2x2 tables |
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80 | (2) |
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3.8 The three-directional approach to the analysis of 23 tables (summary) |
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82 | (3) |
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82 | (3) |
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4 The Madison Drug and Alcohol Abuse Study |
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85 | (10) |
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85 | (3) |
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4.2 Statistical results (phase 3) of study |
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88 | (3) |
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4.3 Further validation of results |
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91 | (4) |
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93 | (2) |
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5 Goodman's Full-Rank Interaction Analysis |
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95 | (24) |
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5.1 Introductory example (no totals fixed) |
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95 | (3) |
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5.2 Methodological developments (no totals fixed) |
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98 | (4) |
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5.3 Numerical example (a four-corners model) |
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102 | (1) |
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5.4 Methodological developments (overall total fixed) |
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103 | (2) |
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5.5 Business school example (overall total fixed) |
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105 | (1) |
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5.6 Methodological developments (row totals fixed) |
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106 | (2) |
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5.7 Advertising example (row totals fixed) |
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108 | (2) |
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5.8 Testing for equality of unconditional cell probabilities |
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110 | (1) |
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5.9 Analysis of Berkeley admissions data |
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111 | (3) |
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114 | (5) |
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114 | (5) |
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6 Further Examples and Extensions |
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119 | (12) |
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6.1 Hypertension, obesity, and alcohol consumption |
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119 | (6) |
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6.2 The Bristol cervical screening data |
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125 | (3) |
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6.3 The multiple sclerosis data |
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128 | (1) |
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6.4 The Dundee dental health data |
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129 | (2) |
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130 | (1) |
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7 Conditional Independence Models for Two-Way Tables |
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131 | (8) |
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7.1 Fixed zeroes and missing observations |
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131 | (2) |
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133 | (1) |
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7.3 Perfectly fitting further cells |
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134 | (1) |
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135 | (1) |
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136 | (3) |
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137 | (2) |
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139 | (14) |
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8.1 Review of general methodology |
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139 | (6) |
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8.2 Analysing your data using Splus |
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145 | (2) |
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8.3 Analysis of the mice exposure data |
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147 | (1) |
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8.4 Analysis of space shuttle failure data |
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148 | (1) |
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149 | (4) |
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150 | (3) |
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9 Further Regression Models |
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153 | (12) |
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9.1 Regression models for Poisson data |
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153 | (2) |
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9.2 The California earthquake data |
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155 | (1) |
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9.3 A generalisation of logistic regression |
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156 | (4) |
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9.4 Logistic regression for matched case-control studies |
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160 | (2) |
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162 | (3) |
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162 | (3) |
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165 | (10) |
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10.1 Continuous random variables |
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165 | (1) |
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10.2 Logistic discrimination analysis |
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166 | (3) |
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10.3 Testing the slope and quadratic term |
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169 | (1) |
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170 | (2) |
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10.5 Three-way contingency tables |
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172 | (3) |
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173 | (2) |
References |
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175 | (6) |
Index |
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181 | |