Preface |
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v | |
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Chapter one Introduction: Statistics as a Research Tool |
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1 | (12) |
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The Purpose of Statistics Is to Clarify |
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3 | (1) |
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Statistics Are Used to Solve Problems |
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4 | (1) |
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Basic Principles Apply Across Statistical Techniques |
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5 | (2) |
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7 | (1) |
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7 | (1) |
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8 | (2) |
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10 | (1) |
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10 | (1) |
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11 | (2) |
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Chapter two Measurement: The Basic Building Block of Research |
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13 | (26) |
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Science and Measurement: Classification as a First Step in Research |
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15 | (1) |
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15 | (1) |
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16 | (2) |
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18 | (1) |
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Interval and Ratio Scales |
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19 | (3) |
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Relating Interval, Ordinal, and Nominal Scales: The Importance of Collecting Data at the Highest Level Possible |
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22 | (1) |
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23 | (3) |
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26 | (1) |
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27 | (1) |
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28 | (3) |
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31 | (6) |
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32 | (2) |
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34 | (2) |
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36 | (1) |
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37 | (1) |
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37 | (2) |
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Chapter three Representing and Displaying Data |
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39 | (34) |
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Frequency Distributions, Bar Charts, and Histograms |
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40 | (2) |
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42 | (1) |
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43 | (7) |
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Histograms for Continuous and Discrete Data |
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50 | (3) |
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Box plots for Interval and Ratio Data |
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53 | (4) |
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57 | (3) |
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60 | (1) |
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61 | (1) |
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62 | (1) |
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63 | (1) |
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64 | (7) |
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65 | (2) |
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67 | (2) |
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69 | (1) |
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70 | (1) |
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71 | (2) |
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Chapter four Describing the Typical Case: Measures of Central Tendency |
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73 | (36) |
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The Mode: Central Tendency in Nominal Scales |
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74 | (3) |
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The Median: Taking into Account Position |
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77 | (6) |
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The Mean: Adding Value to Position |
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83 | (3) |
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Comparing Results Gained Using the Mean and Median |
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86 | (3) |
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Other Characteristics of the Mean |
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89 | (2) |
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Using the Mean for Non-interval/Ratio Scales |
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91 | (1) |
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Statistics in Practice: Comparing the Median and the Mean |
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92 | (3) |
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95 | (1) |
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96 | (1) |
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96 | (1) |
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97 | (4) |
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101 | (6) |
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101 | (2) |
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103 | (1) |
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104 | (2) |
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106 | (1) |
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107 | (2) |
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Chapter five How Typical Is the Typical Case? Measuring Dispersion |
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109 | (36) |
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Measures of Dispersion for Nominal- and Ordinal-Level Data |
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110 | (1) |
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The Proportion in the Modal Category |
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111 | (1) |
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The Percentage in the Modal Category |
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112 | (1) |
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113 | (2) |
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Index of Qualitative Variation |
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115 | (3) |
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Measuring Dispersion in Interval/Ratio Scales: The Range, Interquartile Range, Variance, and Standard Deviation |
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118 | (3) |
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121 | (3) |
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124 | (4) |
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Characteristics of the Variance and Standard Deviation |
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128 | (1) |
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The Coefficient of Relative Variation |
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129 | (2) |
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A Note on the Mean Deviation |
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131 | (2) |
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133 | (1) |
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134 | (1) |
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135 | (2) |
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137 | (3) |
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140 | (3) |
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140 | (1) |
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141 | (1) |
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142 | (1) |
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142 | (1) |
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143 | (2) |
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Chapter six The Logic of Statistical Inference: Making Statements About Populations from Sample Statistics |
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145 | (22) |
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The Dilemma: Making Statements About Populations from Sample Statistics |
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146 | (3) |
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149 | (3) |
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152 | (1) |
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Risks of Error in Hypothesis Testing |
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153 | (2) |
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Risks of Error and Statistical Levels of Significance |
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155 | (2) |
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Departing from Conventional Significance Criteria |
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157 | (2) |
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159 | (1) |
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160 | (1) |
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161 | (1) |
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162 | (4) |
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166 | (1) |
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Chapter seven Defining the Observed Significance Level of a Test: A Simple Example Using the Binomial Distribution |
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167 | (30) |
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169 | (1) |
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Sampling Distributions and Probability Distributions |
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169 | (3) |
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172 | (2) |
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Different Ways of Getting Similar Results |
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174 | (3) |
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Solving More Complex Problems |
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177 | (2) |
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The Binomial Distribution |
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179 | (4) |
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Using the Binomial Distribution to Estimate the Observed Significance Level of a Test |
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183 | (4) |
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187 | (1) |
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188 | (1) |
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188 | (1) |
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189 | (3) |
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192 | (5) |
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193 | (1) |
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194 | (1) |
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195 | (1) |
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195 | (2) |
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Chapter eight Steps in a Statistical Test: Using the Binomial Distribution to Make Decisions About Hypotheses |
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197 | (28) |
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The Problem: The Impact of Problem-Oriented Policing on Disorderly Activity at Violent-Crime Hot Spots |
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198 | (2) |
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Assumptions: Laying the Foundations for Statistical Inference |
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200 | (1) |
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200 | (1) |
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Shape of the Population Distribution |
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200 | (1) |
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201 | (4) |
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205 | (1) |
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Stating All of the Assumptions |
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206 | (1) |
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Selecting a Sampling Distribution |
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206 | (2) |
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Significance Level and Rejection Region |
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208 | (1) |
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Choosing a One-Tailed or a Two-Tailed Rejection Region |
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209 | (4) |
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213 | (1) |
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213 | (1) |
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214 | (1) |
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215 | (1) |
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216 | (4) |
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220 | (3) |
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220 | (1) |
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221 | (1) |
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222 | (1) |
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222 | (1) |
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223 | (2) |
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Chapter nine Chi-Square: A Test Commonly Used for Nominal-Level Measures |
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225 | (42) |
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Testing Hypotheses Concerning the Roll of a Die |
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226 | (1) |
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The Chi-Square Distribution |
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227 | (2) |
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Calculating the Chi-Square Statistic |
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229 | (1) |
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Linking the Chi-Square Statistic to Probabilities: The Chi-Square Table |
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230 | (1) |
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A Substantive Example: The Relationship Between Assault Victims and Offenders |
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231 | (3) |
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Relating Two Nominal-Scale Measures in a Chi-Square Test |
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234 | (1) |
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A Substantive Example: Type of Sanction and Recidivism Among Convicted White-Collar Criminals |
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235 | (7) |
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Extending the Chi-Square Test to Multicategory Variables: The Example of Cell Allocations in Prison |
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242 | (2) |
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The Sampling Distribution |
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244 | (1) |
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Significance Level and Rejection Region |
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244 | (1) |
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244 | (2) |
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246 | (3) |
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Extending the Chi-Square Test to a Relationship Between Two Ordinal Variables: Identification with Fathers and Delinquent Acts |
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249 | (1) |
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The Sampling Distribution |
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250 | (1) |
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Significance Level and Rejection Region |
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251 | (1) |
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251 | (1) |
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252 | (1) |
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The Use of Chi-Square When Samples Are Small: A Final Note |
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253 | (1) |
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254 | (1) |
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254 | (1) |
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255 | (1) |
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256 | (5) |
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261 | (5) |
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262 | (1) |
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263 | (1) |
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264 | (1) |
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265 | (1) |
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266 | (1) |
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Chapter ten The Normal Distribution and Its Application to Tests of Statistical Significance |
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267 | (48) |
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The Normal Frequency Distribution (Normal Curve) |
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269 | (2) |
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Characteristics of the Normal Frequency Distribution |
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271 | (1) |
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272 | (3) |
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Developing Tests of Statistical Significance Based on the Standard Normal Distribution: The Single-Sample z-Test for Known Population |
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275 | (7) |
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Applying Normal Sampling Distributions to Non-normal Populations |
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282 | (5) |
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Comparing a Sample to an Unknown Population: The Single-Sample z-Test for Proportions |
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287 | (1) |
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Computing the Mean and Standard Deviation for the Sampling Distribution of a Proportion |
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287 | (2) |
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Testing Hypotheses with the Normal Distribution: The Case of a New Prison Program |
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289 | (3) |
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Limitations of the z-Test on a Proportion |
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292 | (1) |
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Comparing a Sample to an Unknown Population: The Single-Sample t-Test for Means |
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293 | (2) |
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Testing Hypotheses with the t Distribution |
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295 | (3) |
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298 | (4) |
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Constructing Confidence Intervals |
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302 | (1) |
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Confidence Intervals for Sample Means |
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303 | (1) |
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Confidence Intervals for Sample Proportions |
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304 | (1) |
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305 | (1) |
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306 | (1) |
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307 | (2) |
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309 | (4) |
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313 | (2) |
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Chapter eleven Comparing Means and Proportions in Two Samples to Test Hypotheses About Population Parameters |
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315 | (58) |
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317 | (1) |
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The Case of Anxiety Among Police Officers and Firefighters |
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317 | (3) |
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The Sampling Distribution |
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320 | (8) |
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Constructing Confidence Intervals for Differences of Means |
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328 | (1) |
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Bail in Los Angeles County: Another Example of the Two-Sample t-Test for Hypotheses About Population Mean Differences |
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328 | (3) |
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The Sampling Distribution |
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331 | (5) |
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Comparing Proportions: The Two-Sample z-Test for Differences Between Population Proportions |
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336 | (1) |
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The Case of Drug Testing and Pretrial Misconduct |
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337 | (2) |
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The Sampling Distribution |
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339 | (2) |
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The f-Test for Dependent (Paired) Samples |
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341 | (1) |
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The Effect of Police Presence on High-Crime Street Segments |
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341 | (3) |
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The Sampling Distribution |
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344 | (3) |
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Nonparametric Alternative to the t-Test |
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347 | (1) |
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Mann-Whitney U: Nonparametric Test for Two Independent Samples |
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348 | (1) |
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Bail in Los Angeles County Redux: The Mann-Whitney U |
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349 | (3) |
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Wilcoxon Signed-Rank Test for Dependent Samples |
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352 | (1) |
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The Effect of Police Presence Near High-Crime Street Segments Redux: The Wilcoxon Signed-Rank Test |
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352 | (2) |
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Effect Size Measures for Comparing Two Means: Cohen's d |
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354 | (2) |
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A Note on Using the t-Test for Ordinal Scales with a Limited Number of Categories |
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356 | (1) |
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357 | (1) |
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358 | (1) |
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359 | (2) |
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361 | (6) |
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367 | (3) |
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368 | (1) |
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368 | (1) |
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369 | (1) |
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369 | (1) |
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370 | (3) |
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Chapter twelve Comparing Means Among More Than Two Samples to Test Hypotheses about Populations: Analysis of Variance |
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373 | (52) |
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374 | (4) |
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Computing the Variance Between and Within Groups |
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378 | (5) |
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A Substantive Example: Age and White-Collar Crimes |
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383 | (9) |
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Another ANOVA Example: Race and Bail Amounts Among Felony Drug Defendants |
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392 | (4) |
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Defining the Strength of the Relationship Observed |
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396 | (3) |
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Making Pairwise Comparisons Between the Groups Studied |
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399 | (1) |
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Tukey's Honestly Significant Difference (HSD) Test |
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400 | (2) |
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Bonferroni Post Hoc Pairwise t-Tests |
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402 | (3) |
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A Nonparametric Alternative: The Kruskal-Wallis Test |
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405 | (1) |
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The Sampling Distribution |
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406 | (1) |
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Significance Level and Rejection Region |
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406 | (1) |
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406 | (2) |
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408 | (1) |
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408 | (1) |
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409 | (1) |
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410 | (2) |
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412 | (4) |
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416 | (7) |
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416 | (2) |
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418 | (2) |
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420 | (1) |
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421 | (2) |
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423 | (2) |
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Chapter thirteen Measures of Association for Nominal and Ordinal Variables |
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425 | (54) |
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Distinguishing Statistical Significance and Strength of Relationship: The Example of the Chi-Square Statistic |
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426 | (3) |
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Measures of Association for Nominal Variables |
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429 | (1) |
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Measures of Association Based on the Chi-Square Statistic |
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429 | (7) |
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Proportional Reduction in Error Measures: Tau and Lambda |
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436 | (7) |
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Statistical Significance of Measures of Association for Nominal Variables |
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443 | (2) |
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Measures of Association for Ordinal-Level Variables |
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445 | (6) |
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451 | (1) |
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452 | (2) |
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454 | (1) |
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A Substantive Example: Affectional Identification with Father and Level of Delinquency |
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454 | (5) |
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Note on the Use of Measures of Association for Ordinal Variables |
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459 | (1) |
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Statistical Significance of Measures of Association for Ordinal Variables |
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459 | (5) |
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Ch oosing the Best Measure of Association for Nominal- and Ordinal-Level Variables |
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464 | (1) |
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465 | (1) |
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466 | (1) |
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467 | (3) |
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470 | (4) |
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474 | (3) |
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474 | (1) |
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475 | (1) |
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475 | (1) |
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476 | (1) |
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477 | (2) |
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Chapter fourteen Measuring Association for Scaled Data: Pearson's Correlation Coefficient |
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479 | (52) |
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Measuring Association Between Two Interval- or Ratio-Level Variables |
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480 | (2) |
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Pearson's Correlation Coefficient |
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482 | (4) |
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486 | (2) |
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A Substantive Example: Crime and Unemployment in California |
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488 | (2) |
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Nonlinear Relationships and Pearson's r |
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490 | (6) |
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496 | (4) |
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Spearman's Correlation Coefficient |
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500 | (3) |
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Testing the Statistical Significance of Pearson's r |
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503 | (1) |
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Statistical Significance of r. The Case of Age and Number of Arrests |
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503 | (4) |
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Statistical Significance of r. Unemployment and Crime in California |
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507 | (1) |
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Testing the Statistical Significance of Spearman's r |
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508 | (1) |
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The Sampling Distribution |
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509 | (1) |
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Significance Level and Rejection Region |
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509 | (1) |
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510 | (1) |
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510 | (1) |
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Using Pearson's r When One or Both Variables are Dichotomous or Ordinal |
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510 | (1) |
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The Correlation Coefficient for Two Dichotomous Variables |
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511 | (2) |
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The Correlation Coefficient for One Dichotomous Variable and One Interval- or Ratio-level Variable |
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513 | (4) |
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Confidence Intervals for the Correlation Coefficient |
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517 | (2) |
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519 | (1) |
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520 | (1) |
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520 | (2) |
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522 | (3) |
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525 | (5) |
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525 | (1) |
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526 | (1) |
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527 | (1) |
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528 | (2) |
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530 | (1) |
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Chapter fifteen An Introduction to Bivariate Regression |
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531 | (50) |
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Estimating the Influence of One Variable on Another: The Regression Coefficient |
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532 | (2) |
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Calculating the Regression Coefficient |
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534 | (2) |
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A Substantive Example: Unemployment and Burglary in California |
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536 | (1) |
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Prediction in Regression: Building the Regression Line |
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537 | (1) |
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538 | (1) |
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539 | (2) |
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Predictions Beyond the Distribution Observed in a Sample |
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541 | (1) |
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Predicting Burglary Rates from Unemployment Rates in California |
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542 | (2) |
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Choosing the Best Line of Prediction Based on Regression Error |
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544 | (2) |
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Evaluating the Regression Model |
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546 | (1) |
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Percent of Variance Explained |
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546 | (3) |
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Percent of Variance Explained: Unemployment Rates and Burglary Rates in California |
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549 | (2) |
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Statistical Significance of the Regression Coefficient: The Case of Age and Number of Arrests |
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551 | (9) |
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Testing the Statistical Significance of the Regression Coefficient for Unemployment Rates and Burglary Rates in California |
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560 | (5) |
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The F-Test for the Overall Regression |
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565 | (1) |
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Age and Number of Arrests |
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566 | (1) |
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Unemployment Rates and Burglary Rates in California |
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567 | (1) |
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568 | (1) |
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569 | (1) |
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570 | (2) |
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572 | (4) |
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576 | (4) |
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576 | (1) |
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577 | (1) |
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578 | (1) |
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579 | (1) |
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580 | (1) |
Appendix 1 Factorials |
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581 | (2) |
Appendix 2 Critical Values of X1 Distribution |
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583 | (2) |
Appendix 3 Areas of the Standard Normal Distribution |
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585 | (2) |
Appendix 4 Critical Values of Student's t Distribution |
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587 | (2) |
Appendix 5 Critical Values of the F-Statistic |
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589 | (2) |
Appendix 6 Critical Value for P(Pcrit)--Tukey's HSD Test |
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591 | (2) |
Appendix 7 Critical Values for Spearman's Rank-Order Correlation Coefficient |
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593 | (2) |
Appendix 8 Fisher r-to-Z' Transformation |
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595 | (4) |
Glossary |
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599 | (6) |
Index |
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605 | |