Preface |
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Acknowledgments |
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xii | |
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1 | (42) |
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3 | (9) |
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11 | (1) |
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2 Measuring in Psychology |
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12 | (10) |
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2.1 Types of Psychological Measurements |
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13 | (1) |
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2.2 Measurement Techniques in Psychological Assessment |
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13 | (3) |
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2.2.1 Psychological Tests |
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13 | (1) |
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2.2.2 Personality Questionnaires |
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14 | (1) |
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2.2.3 Projective Techniques |
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15 | (1) |
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2.2.4 Systematical Behavior Observation |
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16 | (1) |
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2.3 Quality Criteria in Psychometrics |
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16 | (1) |
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2.4 Additional Psychological Measurement Techniques |
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17 | (3) |
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17 | (1) |
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2.4.2 Survey Questionnaires |
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17 | (1) |
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18 | (1) |
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18 | (1) |
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2.4.5 Semantic Differential |
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19 | (1) |
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2.4.6 Method of Pair - Wise Comparison |
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19 | (1) |
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19 | (1) |
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2.5 Statistical Models of Measurement with Psychological Roots |
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20 | (2) |
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20 | (2) |
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3 Psychology -- An Empirical Science |
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22 | (8) |
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3.1 Gain of Insight in Psychology |
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23 | (3) |
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3.2 Steps of Empirical Research |
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26 | (4) |
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29 | (1) |
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4 Definition -- Character, Chance, Experiment, and Survey |
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30 | (13) |
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35 | (1) |
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35 | (2) |
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37 | (1) |
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38 | (2) |
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4.5 Characters and Factors |
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40 | (3) |
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41 | (2) |
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Part II DESCRIPTIVE STATISTICS |
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43 | (56) |
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5 Numerical and Graphical Data Analysis |
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45 | (54) |
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5.1 Introduction to Data Analysis |
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45 | (4) |
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5.2 Frequencies and Empirical Distributions |
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49 | (28) |
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5.2.1 Nominal-Scaled Characters |
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50 | (5) |
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5.2.2 Ordinal-Scaled Characters |
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55 | (8) |
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5.2.3 Quantitative Characters |
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63 | (10) |
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5.2.4 Principles of Charts |
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73 | (1) |
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5.2.5 Typical Examples of the Use of Tables and Charts |
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74 | (3) |
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77 | (17) |
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77 | (2) |
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5.3.2 Other Measures of Location and Scale |
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79 | (12) |
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5.3.3 Statistics Based on Higher Moments |
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91 | (3) |
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5.4 Frequency Distribution for Several Characters |
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94 | (5) |
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97 | (2) |
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Part III INFERENTIAL STATISTICS FOR ONE CHARACTER |
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99 | (202) |
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6 Probability and Distribution |
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101 | (29) |
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6.1 Relative Frequencies and Probabilities |
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101 | (6) |
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6.2 Random Variable and Theoretical Distributions |
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107 | (16) |
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6.2.1 Binomial Distribution |
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109 | (7) |
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6.2.2 Normal Distribution |
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116 | (7) |
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6.3 Quantiles of Theoretical Distribution Functions |
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123 | (2) |
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6.4 Mean and Variance of Theoretical Distributions |
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125 | (1) |
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6.5 Estimation of Unknown Parameters |
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126 | (4) |
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129 | (1) |
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7 Assumptions -- Random Sampling and Randomization |
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130 | (17) |
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7.1 Simple Random Sampling in Surveys |
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132 | (2) |
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7.2 Principles of Random Sampling and Randomization |
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134 | (13) |
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134 | (6) |
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7.2.2 Experimental Designs |
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140 | (6) |
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146 | (1) |
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8 One Sample from One Population |
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147 | (53) |
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147 | (1) |
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8.2 The Parameter μ of a Character Modeled by a Normally Distributed Random Variable |
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148 | (21) |
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8.2.1 Estimation of the Unknown Parameter μ |
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148 | (2) |
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8.2.2 A Confidence Interval for the Unknown Parameter μ |
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150 | (6) |
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8.2.3 Hypothesis Testing Concerning the Unknown Parameter μ |
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156 | (9) |
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8.2.4 Test of a Hypothesis Regarding the Unknown Parameter μ in the Case of Primarily Mutually Assigned Observations |
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165 | (4) |
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8.3 Planning a Study for Hypothesis Testing with Respect to μ |
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169 | (10) |
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8.4 Sequential Tests for the Unknown Parameter μ |
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179 | (4) |
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8.5 Estimation, Hypothesis Testing, Planning the Study, and Sequential Testing Concerning Other Parameters |
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183 | (17) |
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8.5.1 The Unknown Parameter σ2 |
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183 | (1) |
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8.5.2 The Unknown Parameter p of a Dichotomous Character |
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184 | (5) |
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8.5.3 The Unknown Parameter p of a Dichotomous Character which is the Result of Paired Observations |
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189 | (3) |
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8.5.4 The Unknown Parameter pj of a Multi-Categorical Character |
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192 | (3) |
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8.5.5 Test of a Hypothesis about the Median of a Quantitative Character |
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195 | (1) |
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8.5.6 Test of a Hypothesis about the Median of a Quantitative Character which is the Result of Paired Observations |
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196 | (3) |
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199 | (1) |
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9 Two Samples from Two Populations |
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200 | (35) |
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9.1 Hypothesis Testing, Study Planning, and Sequential Testing Regarding the Unknown Parameters μ1 and μ2 |
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201 | (13) |
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9.2 Hypothesis Testing, Study Planning, and Sequential Testing for Other Parameters |
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214 | (16) |
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9.2.1 The Unknown Location Parameters for a Rank-Scaled Character |
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214 | (4) |
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9.2.2 The Unknown Parameters σ21 and σ22 |
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218 | (3) |
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9.2.3 The Unknown Parameters p1 and p2 of a Dichotomous Character |
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221 | (8) |
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9.2.4 The Unknown Parameters pi of a Multi-Categorical Nominal-Scaled Character |
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229 | (1) |
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230 | (5) |
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233 | (2) |
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10 Samples from More than Two Populations |
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235 | (66) |
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10.1 The Various Problem Situations |
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236 | (1) |
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10.2 Selection Procedures |
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237 | (1) |
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10.3 Multiple Comparisons of Means |
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238 | (3) |
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10.4 Analysis of Variance |
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241 | (60) |
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10.4.1 One-Way Analysis of Variance |
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241 | (22) |
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10.4.2 One-Way Analysis of Variance for Ordinal-Scaled Characters |
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263 | (2) |
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10.4.3 Comparing More than Two Populations with Respect to a Nominal-Scaled Character |
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265 | (1) |
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10.4.4 Two-Way Analysis of Variance |
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266 | (23) |
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10.4.5 Two-Way Analysis of Variance for Ordinal-Scaled Characters |
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289 | (1) |
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10.4.6 Bivariate Comparison of Two Nominal-Scaled Factors |
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289 | (1) |
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10.4.7 Three-Way Analysis of Variance |
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289 | (10) |
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299 | (2) |
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Part IV DESCRIPTIVE AND INFERENTIAL STATISTICS FOR TWO CHARACTERS |
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301 | (60) |
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11 Regression and Correlation |
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303 | (58) |
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303 | (5) |
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308 | (10) |
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11.3 Correlation Coefficients and Measures of Association |
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318 | (31) |
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11.3.1 Linear Correlation in Quantitative Characters |
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318 | (7) |
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11.3.2 Monotone Relation in Quantitative Characters and Relation between Ordinal-Scaled Characters |
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325 | (1) |
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11.3.3 Relationship between a Quantitative or Ordinal-Scaled Character and a Dichotomous Character |
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326 | (4) |
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11.3.4 Relationship between a Quantitative Character and a Multi-Categorical Character |
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330 | (5) |
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11.3.5 Correlation between Two Nominal-Scaled Characters |
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335 | (10) |
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11.3.6 Nonlinear Relationship in Quantitative Characters |
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345 | (4) |
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11.4 Hypothesis Testing and Planning the Study Concerning Correlation Coefficients |
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349 | (8) |
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11.5 Correlation Analysis in Two Samples |
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357 | (4) |
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360 | (1) |
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Part V INFERENTIAL STATISTICS FOR MORE THAN TWO CHARACTERS |
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361 | (86) |
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12 One Sample from One Population |
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363 | (38) |
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12.1 Association between Three or More Characters |
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363 | (22) |
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12.1.1 Partial Correlation Coefficient |
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365 | (6) |
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12.1.2 Comparison of the Association of One Character with Each of Two Other Characters |
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371 | (1) |
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12.1.3 Multiple Linear Regression |
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372 | (2) |
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374 | (3) |
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12.1.5 Canonical Correlation Coefficient |
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377 | (1) |
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377 | (8) |
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12.2 Hypothesis Testing Concerning a Vector of Means μ |
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385 | (3) |
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12.3 Comparisons of Means and `Homological' Methods for Matched Observations |
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388 | (13) |
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12.3.1 Hypothesis Testing Concerning Means |
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388 | (10) |
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12.3.2 Hypothesis Testing Concerning the Position of Ordinal-Scaled Characters |
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398 | (2) |
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400 | (1) |
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13 Samples from More than One Population |
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401 | (46) |
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13.1 General Linear Model |
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401 | (2) |
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13.2 Analysis of Covariance |
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403 | (11) |
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13.3 Multivariate Analysis of Variance |
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414 | (13) |
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13.4 Discriminant Analysis |
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427 | (20) |
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445 | (2) |
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Part VI MODEL GENERATION AND THEORY-GENERATING PROCEDURES |
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447 | (73) |
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449 | (22) |
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14.1 Theoretical Basics of Model Generation |
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449 | (5) |
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14.1.1 Generalized Linear Model |
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450 | (3) |
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14.1.2 Model with Latent Variables |
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453 | (1) |
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14.2 Methods for Determining the Quality and Excellence of a Model |
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454 | (10) |
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14.2.1 Goodness of Fit Tests |
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454 | (4) |
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14.2.2 Coefficients of Goodness of Fit |
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458 | (4) |
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462 | (2) |
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14.3 Simulation -- Non-Analytical Solutions to Statistical Problems |
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464 | (7) |
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470 | (1) |
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15 Theory-Generating Methods |
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471 | (49) |
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15.1 Methods of Descriptive Statistics |
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471 | (23) |
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471 | (11) |
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482 | (10) |
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492 | (2) |
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15.2 Methods of Inferential Statistics |
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494 | (26) |
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15.2.1 Further Analysis Methods for Classifying Research Units |
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494 | (7) |
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15.2.2 Confirmatory Factor Analysis |
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501 | (5) |
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15.2.3 Models of Item Response Theory |
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506 | (12) |
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518 | (2) |
Appendix A Data Input |
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520 | (9) |
Appendix B Tables |
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529 | (9) |
Appendix C Symbols and Notation |
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538 | (4) |
References |
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542 | (5) |
Index |
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547 | |