Guided tour |
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xvi | |
Introduction |
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xvii | |
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xxi | |
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xxiii | |
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xxviii | |
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List of calculation boxes |
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xxix | |
Acknowledgements |
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xxx | |
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Part 1 Descriptive statistics |
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1 | (134) |
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1 Why you need statistics: types of data |
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3 | (17) |
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3 | (1) |
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4 | (1) |
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1.2 Variables and measurement |
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4 | (2) |
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1.3 Statistical significance |
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6 | (1) |
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1.4 SPSS guide: an introduction |
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7 | (13) |
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19 | (1) |
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2 Describing variables: tables and diagrams |
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20 | (20) |
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20 | (1) |
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21 | (1) |
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2.2 Choosing tables and diagrams |
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22 | (7) |
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29 | (1) |
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29 | (5) |
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2.5 Pie diagram of category data |
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34 | (2) |
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2.6 Bar chart of category data |
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36 | (2) |
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38 | (2) |
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39 | (1) |
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3 Describing variables numerically: averages, variation and spread |
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40 | (15) |
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40 | (1) |
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3.1 Introduction: mean, median and mode |
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41 | (3) |
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3.2 Comparison of mean, median and mode |
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44 | (1) |
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3.3 The spread of scores: variability |
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45 | (4) |
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49 | (2) |
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51 | (1) |
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51 | (4) |
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54 | (1) |
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4 Shapes of distributions of scores |
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55 | (12) |
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55 | (1) |
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56 | (1) |
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4.2 Histograms and frequency curves |
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56 | (1) |
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57 | (1) |
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58 | (2) |
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4.5 Other frequency curves |
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60 | (3) |
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63 | (4) |
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66 | (1) |
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5 Standard deviation, z-scores and standard error: the standard unit of measurement in statistics |
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67 | (14) |
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67 | (1) |
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68 | (1) |
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5.2 What is standard deviation? |
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68 | (2) |
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5.3 When to use standard deviation |
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70 | (1) |
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5.4 When not to use standard deviation |
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71 | (1) |
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5.5 Data requirements for standard deviation |
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71 | (1) |
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5.6 Problems in the use of standard deviation |
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72 | (1) |
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72 | (4) |
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5.8 Standard error: the standard deviation of the means of samples |
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76 | (1) |
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5.9 When to use standard error |
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77 | (1) |
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5.10 When not to use standard error |
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77 | (1) |
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5.11 SPSS analysis for standard error |
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77 | (4) |
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80 | (1) |
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6 Relationships between two or more variables: diagrams and tables |
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81 | (18) |
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81 | (1) |
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82 | (1) |
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6.2 The principles of diagrammatic and tabular presentation |
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82 | (1) |
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6.3 Type A: both variables numerical scores |
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83 | (1) |
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6.4 Type B: both variables nominal categories |
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84 | (2) |
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6.5 Type C: one variable nominal categories, the other numerical scores |
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86 | (2) |
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88 | (11) |
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98 | (1) |
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7 Correlation coefficients: the Pearson correlation and Spearman's rho |
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99 | (19) |
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99 | (1) |
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100 | (1) |
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7.2 Principles of the correlation coefficient |
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100 | (6) |
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7.3 Some rules to check out |
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106 | (1) |
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7.4 Coefficient of determination |
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107 | (1) |
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7.5 Data requirements for correlation coefficients |
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108 | (1) |
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108 | (2) |
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7.7 Spearman's rho - another correlation coefficient |
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110 | (4) |
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7.8 SPSS analysis for Spearman's rho |
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114 | (1) |
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7.9 Scatter diagram using SPSS |
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115 | (2) |
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7.10 Problems in the use of correlation coefficients |
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117 | (1) |
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117 | (1) |
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8 Regression and standard error |
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118 | (17) |
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118 | (1) |
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119 | (2) |
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8.2 Theoretical background and regression equations |
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121 | (4) |
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8.3 When and when not to use simple regression |
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125 | (1) |
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8.4 Data requirements for simple regression |
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125 | (1) |
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8.5 Problems in the use of simple regression |
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125 | (1) |
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126 | (3) |
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8.7 Regression scatterplot |
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129 | (3) |
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8.8 Standard error: how accurate are the predicted score and the regression equations? |
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132 | (3) |
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133 | (2) |
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Part 2 Inferential statistics |
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135 | (62) |
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9 The analysis of a questionnaire/survey project |
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137 | (8) |
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137 | (1) |
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138 | (1) |
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138 | (1) |
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9.3 The research hypothesis |
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139 | (1) |
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9.4 Initial variable classification |
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140 | (1) |
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9.5 Further coding of data |
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141 | (1) |
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142 | (1) |
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142 | (2) |
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144 | (1) |
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144 | (1) |
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10 The related t-test: comparing two samples of correlated/related scores |
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145 | (13) |
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145 | (1) |
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146 | (1) |
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10.2 Dependent and independent variables |
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147 | (1) |
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10.3 Theoretical considerations |
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148 | (5) |
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153 | (3) |
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156 | (2) |
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157 | (1) |
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11 The unrelated t-test: comparing two samples of unrelated/uncorrelated scores |
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158 | (18) |
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158 | (1) |
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159 | (1) |
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11.2 Theoretical considerations |
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160 | (4) |
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11.3 Standard deviation and standard error |
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164 | (6) |
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170 | (1) |
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11.5 Data requirements for the unrelated t-test |
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170 | (1) |
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11.6 When not to use the unrelated t-test |
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170 | (1) |
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11.7 Problems in the use of the unrelated t-test |
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171 | (1) |
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171 | (5) |
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175 | (1) |
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12 Chi-square: differences between samples of frequency data |
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176 | (21) |
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176 | (1) |
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177 | (1) |
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12.2 Theoretical considerations |
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178 | (5) |
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12.3 When to use chi-square |
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183 | (1) |
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12.4 When not to use chi-square |
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183 | (1) |
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12.5 Data requirements for chi-square |
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183 | (1) |
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12.6 Problems in the use of chi-square |
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184 | (1) |
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184 | (5) |
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12.8 The Fisher exact probability test |
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189 | (3) |
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12.9 SPSS analysis for the Fisher exact test |
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192 | (1) |
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12.10 Partitioning chi-square |
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193 | (2) |
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195 | (1) |
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12.12 Alternatives to chi-square |
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195 | (1) |
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12.13 Chi-square and known populations |
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196 | (1) |
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196 | (1) |
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Recommended further reading |
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196 | (1) |
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Part 3 Introduction to analysis of variance |
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197 | (78) |
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13 Analysis of variance (ANOVA): introduction to one-way unrelated or uncorrelated ANOVA |
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199 | (13) |
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199 | (1) |
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200 | (1) |
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13.2 Theoretical considerations |
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200 | (4) |
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204 | (1) |
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13.4 When to use one-way ANOVA |
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204 | (1) |
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13.5 When not to use one-way ANOVA |
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205 | (1) |
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13.6 Data requirements for one-way ANOVA |
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205 | (1) |
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13.7 Problems in the use of one-way ANOVA |
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205 | (1) |
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205 | (3) |
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13.9 Computer analysis for one-way unrelated ANOVA |
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208 | (4) |
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211 | (1) |
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14 Two-way analysis of variance for unrelated/uncorrelated scores: two studies for the price of one? |
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212 | (28) |
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212 | (1) |
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213 | (1) |
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14.2 Theoretical considerations |
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214 | (1) |
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14.3 Steps in the analysis |
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215 | (5) |
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14.4 When to use two-way ANOVA |
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220 | (1) |
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14.5 When not to use two-way ANOVA |
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220 | (1) |
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14.6 Data requirements for two-way ANOVA |
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220 | (1) |
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14.7 Problems in the use of two-way ANOVA |
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220 | (1) |
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221 | (6) |
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14.9 Computer analysis for two-way unrelated ANOVA |
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227 | (6) |
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14.10 Three or more independent variables |
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233 | (1) |
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14.11 Multiple-comparisons testing in ANOVA |
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234 | (6) |
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239 | (1) |
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15 Analysis of covariance (ANCOVA): controlling for additional variables |
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240 | (18) |
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240 | (1) |
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241 | (1) |
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15.2 Example of the analysis of covariance |
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241 | (9) |
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250 | (1) |
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15.4 When not to use ANCOVA |
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250 | (1) |
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15.5 Data requirements for ANCOVA |
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250 | (1) |
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250 | (8) |
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257 | (1) |
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Recommended further reading |
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257 | (1) |
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16 Multivariate analysis of variance (MANOVA) |
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258 | (17) |
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258 | (1) |
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259 | (1) |
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16.2 Questions for MANOVA |
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260 | (1) |
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261 | (1) |
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262 | (4) |
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266 | (1) |
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16.6 When not to use MANOVA |
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267 | (1) |
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16.7 Data requirements for MANOVA |
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267 | (1) |
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16.8 Problems in the use of MANOVA |
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268 | (1) |
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268 | (7) |
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273 | (1) |
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Recommended further reading |
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273 | (2) |
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Part 4 More advanced statistics and techniques |
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275 | (132) |
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17 Partial correlation: spurious correlation, third or confounding variables (control variables), suppressor variables |
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277 | (11) |
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277 | (1) |
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278 | (1) |
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17.2 Theoretical considerations |
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278 | (2) |
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280 | (2) |
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17.4 Multiple control variables |
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282 | (1) |
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17.5 Suppressor variables |
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282 | (1) |
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17.6 An example from the research literature |
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282 | (2) |
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17.7 When to use partial correlation |
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284 | (1) |
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17.8 When not to use partial correlation |
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284 | (1) |
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17.9 Data requirements for partial correlation |
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284 | (1) |
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17.10 Problems in the use of partial correlation |
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284 | (1) |
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284 | (4) |
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287 | (1) |
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18 Factor analysis: simplifying complex data |
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288 | (20) |
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288 | (1) |
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289 | (1) |
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18.2 Data issues in factor analysis |
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290 | (1) |
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18.3 Concepts in factor analysis |
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291 | (2) |
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18.4 Decisions, decisions, decisions |
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293 | (5) |
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18.5 When to use factor analysis |
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298 | (1) |
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18.6 When not to use factor analysis |
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298 | (1) |
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18.7 Data requirements for factor analysis |
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299 | (1) |
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18.8 Problems in the use of factor analysis |
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299 | (1) |
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299 | (9) |
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306 | (1) |
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Recommended further reading |
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307 | (1) |
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19 Multiple regression and multiple correlation |
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308 | (24) |
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308 | (1) |
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309 | (1) |
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19.2 Theoretical considerations |
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309 | (5) |
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19.3 Stepwise multiple regression example |
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314 | (3) |
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19.4 Reporting the results |
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317 | (1) |
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19.5 What is stepwise multiple regression? |
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317 | (1) |
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19.6 When to use stepwise multiple regression |
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318 | (1) |
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19.7 When not to use stepwise multiple regression |
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318 | (1) |
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19.8 Data requirements for stepwise multiple regression |
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319 | (1) |
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19.9 Problems in the use of stepwise multiple regression |
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319 | (1) |
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319 | (5) |
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19.11 What is hierarchical multiple regression? |
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324 | (1) |
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19.12 When to use hierarchical multiple regression |
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325 | (1) |
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19.13 When not to use hierarchical multiple regression |
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325 | (1) |
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19.14 Data requirements for hierarchical multiple regression |
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325 | (1) |
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19.15 Problems in the use of hierarchical multiple regression |
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326 | (1) |
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326 | (6) |
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330 | (1) |
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Recommended further reading |
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331 | (1) |
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20 Multinomial logistic regression: distinguishing between several different categories or groups |
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332 | (25) |
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332 | (1) |
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333 | (2) |
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335 | (1) |
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20.3 What can multinomial logistic regression do? |
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335 | (2) |
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337 | (1) |
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20.5 Accuracy of the prediction |
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338 | (1) |
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20.6 How good are the predictors? |
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339 | (3) |
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342 | (2) |
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344 | (1) |
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20.9 Reporting the results |
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345 | (1) |
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20.10 When to use multinomial logistic regression |
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345 | (1) |
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20.11 When not to use multinomial logistic regression |
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345 | (1) |
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20.12 Data requirements for multinomial logistic regression |
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346 | (1) |
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20.13 Problems in the use of multinomial logistic regression |
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346 | (1) |
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346 | (11) |
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356 | (1) |
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21 Binomial logistic regression |
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357 | (21) |
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357 | (1) |
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358 | (1) |
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21.2 Simple logistic regression |
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358 | (4) |
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362 | (3) |
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21.4 Applying the logistic regression procedure |
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365 | (3) |
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21.5 The regression formula |
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368 | (2) |
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21.6 Reporting the results |
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370 | (1) |
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21.7 When to use binomial logistic regression |
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370 | (1) |
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21.8 When not to use binomial logistic regression |
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370 | (1) |
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21.9 Data requirements for binomial logistic regression |
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370 | (1) |
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21.10 Problems in the use of binomial logistic regression |
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371 | (1) |
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371 | (7) |
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377 | (1) |
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22 Log-linear methods: the analysis of complex contingency tables |
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378 | (29) |
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378 | (1) |
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379 | (2) |
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22.2 A two-variable example |
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381 | (7) |
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22.3 A three-variable example |
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388 | (10) |
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22.4 Reporting the results |
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398 | (1) |
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22.5 When to use log-linear analysis |
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399 | (1) |
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22.6 When not to use log-linear analysis |
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399 | (1) |
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22.7 Data requirements for log-linear analysis |
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400 | (1) |
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22.8 Problems in the use of log-linear analysis |
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400 | (1) |
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400 | (7) |
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405 | (1) |
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Recommended further reading |
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405 | (2) |
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407 | (38) |
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A Testing for excessively skewed distributions |
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409 | (3) |
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409 | (1) |
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A.2 Standard error of skewness |
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410 | (2) |
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B Extended table of significance for the Pearson correlation coefficient |
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412 | (4) |
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C Table of significance for the Spearman correlation coefficient |
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416 | (4) |
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D Extended table of significance for the t-test |
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420 | (4) |
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E Table of significance for chi-square |
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424 | (1) |
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F Extended table of significance for the sign test |
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425 | (4) |
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G Table of significance for the Wilcoxon matched pairs test |
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429 | (4) |
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H Tables of significance for the Mann-Whitney U-test |
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433 | (3) |
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I Tables of significant values for the F-distribution |
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436 | (3) |
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J Table of significant values of t when making multiple t-tests |
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439 | (4) |
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K Some other statistics in SPSS Statistics |
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443 | (2) |
Glossary |
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445 | (8) |
References |
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453 | (1) |
Index |
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454 | |