Preface |
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xix | |
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1 | (28) |
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2 | (4) |
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2 | (1) |
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2 | (2) |
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What If It Isn't an Experiment? |
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4 | (1) |
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Relationship between Design and Analysis |
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5 | (1) |
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Monitoring Processes to Aid in Experimental Design |
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6 | (1) |
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Types of Research Designs |
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6 | (5) |
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Randomized-Groups Designs |
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6 | (1) |
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Repeated-Measures Designs |
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7 | (1) |
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One-Way and Factorial Designs |
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8 | (1) |
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9 | (1) |
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9 | (2) |
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11 | (1) |
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11 | (1) |
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11 | (1) |
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12 | (1) |
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Types of Outcome Measures |
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12 | (1) |
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Number of Outcome Measures |
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13 | (1) |
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Overview of Research Designs |
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13 | (4) |
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13 | (3) |
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16 | (1) |
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16 | (1) |
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17 | (1) |
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Overview of Issues Encountered in Most Designs |
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17 | (4) |
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17 | (2) |
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19 | (1) |
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20 | (1) |
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20 | (1) |
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21 | (1) |
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21 | (1) |
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22 | (2) |
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Programs for Statistical Analysis |
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22 | (2) |
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Programs for Designing Experiments |
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24 | (1) |
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24 | (1) |
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Choosing a Design: Some Guidelines |
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25 | (2) |
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27 | (2) |
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Organizing Describing, and Screening |
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29 | (40) |
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Organizing Data for a Computer |
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29 | (4) |
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Discrete, Continuous, and Ordinal Data |
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30 | (1) |
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Randomized-Groups Designs |
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31 | (1) |
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Repeated-Measures Designs |
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32 | (1) |
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Describing Data from One Variable |
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33 | (20) |
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34 | (1) |
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35 | (2) |
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37 | (16) |
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Describing Relationships between Two Variables |
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53 | (14) |
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53 | (3) |
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Both Variables Continuous |
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56 | (4) |
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One Discrete and One Continuous Variable |
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60 | (7) |
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67 | (2) |
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Basic ANOVA: Logic of Analysis and Tests of Assumptions |
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69 | (29) |
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69 | (1) |
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70 | (12) |
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70 | (1) |
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71 | (2) |
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73 | (9) |
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The Regression Approach to ANOVA |
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82 | (4) |
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Birariate Regression and Basic ANOVA |
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82 | (4) |
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86 | (1) |
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86 | (4) |
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Normality of Sampling Distribution of Means |
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86 | (1) |
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87 | (1) |
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88 | (1) |
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89 | (1) |
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90 | (6) |
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90 | (1) |
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91 | (1) |
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91 | (1) |
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92 | (1) |
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92 | (1) |
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93 | (1) |
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94 | (2) |
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Overview of Remaining Chapters |
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96 | (1) |
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97 | (1) |
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One-Way Randomized-Groups Analysis of Variance, Fixed-Effects Designs |
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98 | (56) |
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General Purpose and Description |
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98 | (1) |
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Kinds of Research Questions |
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99 | (2) |
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100 | (1) |
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100 | (1) |
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100 | (1) |
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101 | (1) |
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101 | (1) |
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Assumptions and Limitations |
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101 | (1) |
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101 | (1) |
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102 | (1) |
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102 | (9) |
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102 | (1) |
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103 | (1) |
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Traditional ANOVA Approach (Three Levels) |
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103 | (1) |
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Regression Approach (Three Levels) |
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104 | (4) |
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Computer Analyses of Small-Sample One-Way Design |
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108 | (3) |
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111 | (29) |
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111 | (4) |
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115 | (5) |
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120 | (2) |
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122 | (1) |
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123 | (17) |
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Complete Example of One-Way ANOVA |
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140 | (8) |
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Evaluation of Assumptions |
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141 | (2) |
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Planned Trend Analysis for One Way Randomized-Groups Design |
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143 | (5) |
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148 | (3) |
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148 | (1) |
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148 | (3) |
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151 | (1) |
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151 | (3) |
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Factorial Randomized-Groups, Fixed-Effects Designs |
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154 | (88) |
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General Purpose and Description |
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154 | (1) |
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Kinds of Research Questions |
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155 | (3) |
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155 | (1) |
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Effect of Interactions among IVs |
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156 | (1) |
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156 | (1) |
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157 | (1) |
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157 | (1) |
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157 | (1) |
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Assumptions and Limitations |
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158 | (1) |
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158 | (1) |
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158 | (1) |
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159 | (15) |
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160 | (1) |
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Partition of Sources of Variance |
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161 | (2) |
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Traditional ANOVA Approach (3 X 3) |
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163 | (2) |
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Regression Approach (3 X 3) |
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165 | (5) |
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Computer Analyses of Small-Sample Factorial Design |
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170 | (4) |
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Other Types of Randomized-Groups Designs |
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174 | (7) |
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Higher-Order Factorial Designs |
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175 | (5) |
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Factorial Design with a Single Control |
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180 | (1) |
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181 | (40) |
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Interpreting Interactions |
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181 | (6) |
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187 | (3) |
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190 | (2) |
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192 | (24) |
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216 | (5) |
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Complete Example of Two-Way Randomized-Groups ANOVA |
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221 | (15) |
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Evaluation of Assumptions |
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221 | (4) |
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Randomized-Groups Analysis of Variance |
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225 | (11) |
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236 | (4) |
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236 | (3) |
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239 | (1) |
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239 | (1) |
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240 | (2) |
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Repeated-Measures Designs |
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242 | (74) |
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General Purpose and Description |
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242 | (1) |
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Kinds of Research Questions |
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243 | (2) |
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244 | (1) |
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Effect of Interactions among IVs |
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244 | (1) |
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244 | (1) |
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244 | (1) |
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245 | (1) |
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245 | (1) |
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Assumptions and Limitations |
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245 | (4) |
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245 | (1) |
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246 | (3) |
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249 | (31) |
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One-Way Repeated-Measures ANOVA |
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249 | (12) |
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Factorial Repeated-Measures Designs |
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261 | (19) |
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Types of Repeated-Measures Designs |
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280 | (2) |
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280 | (1) |
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Simultaneous Repeated Measures |
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281 | (1) |
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Matched Randomized Blocks |
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281 | (1) |
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282 | (20) |
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Carryover Effects: Control of Extraneous Variables |
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282 | (2) |
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Assumptions of Analysis: Independence of Errors, Sphericity, Additivity, and Symmetry |
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284 | (4) |
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Power, Sample Size, and Relative Efficiency |
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288 | (1) |
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289 | (2) |
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291 | (1) |
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292 | (10) |
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Complete Example of Two-Way Repeated-Measures ANOVA |
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302 | (10) |
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Evaluation of Assumptions |
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302 | (2) |
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Planned Trend Analysis of Two-Way Repeated-Measures Design |
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304 | (8) |
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312 | (2) |
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312 | (1) |
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313 | (1) |
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313 | (1) |
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314 | (2) |
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Mixed Randomized-Repeated Designs |
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316 | (63) |
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General Purpose and Description |
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316 | (2) |
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Kinds of Research Questions |
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318 | (1) |
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318 | (1) |
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Effects of Interactions among IVs |
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318 | (1) |
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318 | (1) |
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318 | (1) |
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318 | (1) |
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319 | (1) |
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Assumptions and Limitations |
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319 | (2) |
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319 | (1) |
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319 | (2) |
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321 | (17) |
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321 | (1) |
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Partition of Sources of Variance |
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322 | (2) |
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Traditional ANOVA for the Mixed Design |
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324 | (3) |
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Regression Approach to the Mixed Design |
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327 | (5) |
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Computer Analyses of Small-Sample Mixed Design |
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332 | (6) |
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338 | (2) |
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The Pretest-Posttest Design |
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338 | (1) |
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338 | (2) |
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340 | (15) |
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Comparisons on the Margins |
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340 | (5) |
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Simple Main Effects Analysis |
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345 | (3) |
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348 | (1) |
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349 | (2) |
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Comparisons through the Regression Approach |
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351 | (4) |
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Complete Example of Mixed Randomized-Repeated ANOVA |
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355 | (14) |
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Evaluation of Assumptions |
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356 | (2) |
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Three-Way Mixed Randomized-Repeated ANOVA |
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358 | (11) |
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369 | (2) |
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369 | (1) |
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370 | (1) |
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370 | (1) |
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Putting It All Together for Factorial Designs |
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371 | (6) |
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371 | (1) |
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371 | (1) |
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371 | (2) |
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373 | (3) |
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Developing Computational Equations from Degrees of Freedom |
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376 | (1) |
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377 | (2) |
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379 | (99) |
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General Purpose and Description |
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379 | (3) |
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Kinds of Research Questions |
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382 | (2) |
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382 | (1) |
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Effect of Interactions among IVs |
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383 | (1) |
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383 | (1) |
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383 | |
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333 | (51) |
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384 | (1) |
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384 | (1) |
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Assumptions and Limitations |
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384 | (6) |
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384 | (1) |
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385 | (5) |
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390 | (11) |
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Allocation of Cases to Conditions |
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390 | (1) |
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Partition of Sources of Variance |
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390 | (2) |
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Traditional Approach with Three Levels and One Covariate |
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392 | (2) |
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Computer Analyses of Small-Sample ANCOVA |
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394 | (5) |
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Computer Analysis Using Regression Approach to ANCOVA |
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399 | (2) |
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Types of Designs Using Covariates |
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401 | (11) |
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Randomized-Groups Factorial |
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401 | (1) |
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402 | (10) |
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412 | (20) |
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412 | (6) |
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Test of Homogeneity of Regression |
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418 | (5) |
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423 | (1) |
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424 | (1) |
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424 | (2) |
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426 | (4) |
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430 | (2) |
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Complete Examples of Analysis of Covariance |
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432 | (41) |
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One-Way Analysis of Covariance with Five Levels and One Covariate |
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432 | (9) |
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Mixed Randomized-Groups and Repeated-Measures Analysis of Covariance |
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441 | (32) |
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473 | (2) |
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473 | (1) |
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473 | (2) |
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475 | (1) |
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475 | (3) |
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478 | (74) |
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General Purpose and Description |
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478 | (3) |
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Kinds of Research Questions |
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481 | (2) |
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481 | (1) |
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482 | (1) |
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482 | (1) |
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482 | (1) |
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483 | (1) |
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Assumptions and Limitations |
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483 | (2) |
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483 | (1) |
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483 | (2) |
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485 | (11) |
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486 | (1) |
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Partition of Sources of Variance |
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486 | (2) |
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Traditional ANOVA Approach to 3 X 3 X 3 Latin Square |
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488 | (2) |
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Regression Approach to 3 X 3 X 3 Latin Square |
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490 | (2) |
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Analyses of Small-Sample Latin Square Example |
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492 | (4) |
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496 | (22) |
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Replicated Randomized-Groups Designs |
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497 | (4) |
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Replicated Repeated-Measures Designs |
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501 | (11) |
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Less Commonly Encountered Designs |
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512 | (6) |
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518 | (10) |
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Sphericity in Repeated-Measures Designs |
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519 | (2) |
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521 | (1) |
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Power, Effect Size, and Relative Efficiency |
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522 | (3) |
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525 | (2) |
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527 | (1) |
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Complete Examples of Latin-Square ANOVA |
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528 | (20) |
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Complete Example of 4 X 4 X 4 Randomized-Groups Latin-Square Analysis |
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528 | (9) |
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Complete Example of a Repeated-Measures Crossover Design with Multiple Trials |
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537 | (11) |
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548 | (1) |
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549 | (1) |
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549 | (1) |
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549 | (1) |
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549 | (3) |
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Screening and Other Incomplete Designs |
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552 | (68) |
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General Purpose and Description |
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552 | (2) |
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Kinds of Research Questions |
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554 | (1) |
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554 | (1) |
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Effects of Interactions among IV(s) |
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554 | (1) |
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554 | (1) |
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555 | (1) |
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555 | (1) |
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Assumptions and Limitations |
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555 | (2) |
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555 | (1) |
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556 | (1) |
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557 | (12) |
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558 | (1) |
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Partition of Sources of Variance |
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559 | (1) |
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Regression Approach to a 25 Half-Factorial ANOVA |
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560 | (5) |
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Computer Analyses of the Small-Sample 25-1 Half-Factorial ANOVA |
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565 | (4) |
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Types of Screening and Other Incomplete Designs |
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569 | (29) |
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Resolution of Incomplete Designs |
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569 | (1) |
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Fractional-Factorial Designs |
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569 | (6) |
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575 | (2) |
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577 | (6) |
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Response-Surface Methodology |
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583 | (12) |
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595 | (3) |
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598 | (7) |
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Generating Screening and Other Incomplete Designs |
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598 | (5) |
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Choosing among Screening and Other Incomplete Designs |
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603 | (2) |
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Complete Example of a Central-Composite Design |
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605 | (8) |
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606 | (1) |
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Assumptions and Limitations |
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606 | (3) |
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Three-Factor Central-Composite Design |
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609 | (4) |
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613 | (4) |
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616 | (1) |
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NCSS Design of Experiments |
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617 | (1) |
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617 | (3) |
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Analysis of Variance with Random Effects |
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620 | (65) |
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General Purpose and Description |
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620 | (3) |
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Kinds of Research Questions |
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623 | (2) |
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623 | (1) |
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Effects of Interactions among IVs |
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623 | (1) |
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623 | (1) |
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623 | (1) |
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624 | (1) |
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624 | (1) |
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Assumptions and Limitations |
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625 | (2) |
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625 | (1) |
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626 | (1) |
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627 | (11) |
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627 | (1) |
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Partition of Sources of Variance |
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628 | (2) |
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Traditional ANOVA Approach (One Treatment Factor and One Level of Nesting) |
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630 | (2) |
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Regression Approach. (One Treatment Factor and One Level of Nesting) |
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632 | (1) |
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Computer Analyses of Small-Sample Nested Example |
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632 | (6) |
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Types of Designs with Random Effects |
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638 | (18) |
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638 | (6) |
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One-Way Random-Effects Design |
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644 | (1) |
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Factorial Random-Effects Designs |
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644 | (4) |
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Mixed Fixed-Random Designs |
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648 | (8) |
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656 | (12) |
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Error Terms in Random-Effects ANOVA |
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657 | (5) |
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Alternative Strategies to ANOVA |
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662 | (2) |
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Trend Analysis with Unequal Spacing |
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664 | (3) |
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Homogeneity of Covariance |
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667 | (1) |
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668 | (1) |
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Complete Example of Random-Effects Anova |
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668 | (12) |
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Evaluation of Assumptions |
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669 | (7) |
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ANOVA for Doubly Nested Design |
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676 | (4) |
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680 | (3) |
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680 | (2) |
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682 | (1) |
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683 | (1) |
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683 | (2) |
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685 | (15) |
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Critical Values of F Distribution |
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686 | (7) |
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Critical Values of X2 Distribution |
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693 | (1) |
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Critical Values of Studentized Range Statistic Distribution |
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694 | (2) |
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Critical Values of Dunnett's d-Statistic in Comparing Treatment Means with a (1-sided test) |
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696 | (2) |
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Coefficients of Orthogonal Polynomials |
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698 | (1) |
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699 | (1) |
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Appendix B Research Designs for Complete Examples |
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700 | (6) |
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700 | (1) |
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Bonding Strength of Periodontal Dressings |
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701 | (1) |
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Reaction Time to Identify Figures |
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702 | (1) |
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Auto Pollution Filter Noise |
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702 | (1) |
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Wear Testing of Fabric Samples |
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703 | (1) |
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703 | (1) |
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Processing Time for ANOVA |
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704 | (1) |
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Nambeware Polishing Times |
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704 | (1) |
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Chest Deceleration Injuries in Automobile Crashes |
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705 | (1) |
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705 | (1) |
References |
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706 | (5) |
Index |
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711 | |