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1 Nonparametric Statistics for the Biological Sciences |
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1 | (50) |
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1.1 Background on This Lesson |
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1 | (1) |
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2 | (3) |
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3 | (1) |
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4 | (1) |
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4 | (1) |
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5 | (1) |
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1.3 How R Syntax, R Output, and Graphics Show in This Text |
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5 | (1) |
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1.4 Graphical Presentation of Populations |
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6 | (5) |
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1.4.1 Samples that Exhibit Normal Distribution |
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7 | (2) |
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1.4.2 Samples That Fail to Exhibit Normal Distribution |
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9 | (2) |
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1.5 Rand Nonparametric Analyses |
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11 | (12) |
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1.5.1 Precision of Scales: Ordinal vs Interval |
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11 | (1) |
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1.5.2 Deviation from Normal Distribution |
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12 | (5) |
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1.5.3 Sample Size and Possible Issues with Representation |
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17 | (6) |
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1.6 Definition of Nonparametric Analysis |
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23 | (2) |
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1.7 Statistical Tests and Graphics Associated with Normal Distribution |
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25 | (5) |
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1.8 Addendum: Data Distribution and Sampling |
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30 | (20) |
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1.9 Prepare to Exit, Save, and Later Retrieve This R Session |
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50 | (1) |
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51 | (26) |
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2.1 Background on This Lesson |
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51 | (3) |
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2.1.1 Description of the Data |
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51 | (3) |
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2.1.2 Null Hypothesis (Ho) |
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54 | (1) |
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2.2 Data Entry by Copying Directly into a R Session |
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54 | (3) |
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2.3 Organize the Data and Display the Code Book |
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57 | (3) |
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2.4 Conduct a Visual Data Check |
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60 | (3) |
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2.5 Descriptive Analysis of the Data |
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63 | (10) |
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2.6 Conduct the Statistical Analysis |
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73 | (1) |
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74 | (2) |
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2.8 Prepare to Exit, Save, and Later Retrieve This R Session |
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76 | (1) |
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77 | (26) |
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3.1 Background on This Lesson |
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77 | (3) |
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3.1.1 Description of the Data |
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78 | (2) |
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3.1.2 Null Hypothesis (Ho) |
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80 | (1) |
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3.2 Data Import of a .csv Spreadsheet-Type Data File into R |
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80 | (2) |
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3.3 Organize the Data and Display the Code Book |
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82 | (2) |
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3.4 Conduct a Visual Data Check |
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84 | (6) |
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3.5 Descriptive Analysis of the Data |
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90 | (2) |
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3.6 Conduct the Statistical Analysis |
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92 | (5) |
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97 | (3) |
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3.8 Addendum: Calculate the Chi-Square Statistic from Contingency Tables |
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100 | (2) |
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3.9 Prepare to Exit, Save, and Later Retrieve This R Session |
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102 | (1) |
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103 | (30) |
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4.1 Background on this Lesson |
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103 | (3) |
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4.1.1 Description of the Data |
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104 | (2) |
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4.1.2 Null Hypothesis (Ho) |
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106 | (1) |
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4.2 Data Import of a .csv Spreadsheet-Type Data File into R |
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106 | (2) |
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4.3 Organize the Data and Display the Code Book |
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108 | (3) |
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4.4 Conduct a Visual Data Check |
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111 | (7) |
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4.5 Descriptive Analysis of the Data |
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118 | (7) |
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4.6 Conduct the Statistical Analysis |
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125 | (3) |
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128 | (1) |
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4.8 Addendum: Stacked Data vs Unstacked Data |
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129 | (3) |
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4.9 Prepare to Exit, Save, and Later Retrieve this R Session |
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132 | (1) |
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5 Wilcoxon Matched-Pairs Signed-Ranks Test |
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133 | (44) |
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5.1 Background on this Lesson |
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134 | (3) |
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5.1.1 Description of the Data |
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134 | (2) |
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5.1.2 Null Hypothesis (Ho) |
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136 | (1) |
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5.2 Data Import of a .csv Spreadsheet-Type Data File into R |
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137 | (2) |
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5.3 Organize the Data and Display the Code Book |
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139 | (2) |
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5.4 Conduct a Visual Data Check |
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141 | (9) |
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5.5 Descriptive Analysis of the Data |
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150 | (8) |
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5.6 Conduct the Statistical Analysis |
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158 | (2) |
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160 | (3) |
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5.8 Addendum 1: Stacked Data and the Wilcoxon Matched-Pairs Signed-Ranks Test |
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163 | (4) |
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5.9 Addendum 2: Similar Functions from Different Packages |
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167 | (5) |
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5.10 Addendum 3: Nonparametric vs Parametric Confirmation of Outcomes |
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172 | (2) |
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5.11 Prepare to Exit, Save, and Later Retrieve this R Session |
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174 | (3) |
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6 Kruskal--Wallis H-Test for Oneway Analysis of Variance (ANOVA) by Ranks |
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177 | (36) |
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6.1 Background on this Lesson |
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178 | (3) |
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6.1.1 Description of the Data |
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178 | (3) |
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6.1.2 Null Hypothesis (Ho) |
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181 | (1) |
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6.2 Data Import of a .csv Spreadsheet-Type Data File into R |
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181 | (2) |
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6.3 Organize the Data and Display the Code Book |
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183 | (7) |
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6.4 Conduct a Visual Data Check |
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190 | (7) |
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6.5 Descriptive Analysis of the Data |
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197 | (9) |
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6.6 Conduct the Statistical Analysis |
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206 | (1) |
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207 | (1) |
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6.8 Addendum: Comparison of Kruskal--Wallis Test Differences by Multiple Breakout Groups |
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208 | (3) |
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6.9 Prepare to Exit, Save, and Later Retrieve this R Session |
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211 | (2) |
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7 Friedman Twoway Analysis of Variance (ANOVA) by Ranks |
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213 | (36) |
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7.1 Background on This Lesson |
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214 | (4) |
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7.1.1 Description of the Data |
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214 | (4) |
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7.1.2 Null Hypothesis (Ho) |
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218 | (1) |
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7.2 Data Import of a .csv Spreadsheet-Type Data File into R |
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218 | (2) |
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7.3 Organize the Data and Display the Code Book |
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220 | (3) |
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7.4 Conduct a Visual Data Check |
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223 | (7) |
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7.5 Descriptive Analysis of the Data |
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230 | (6) |
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7.6 Conduct the Statistical Analysis |
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236 | (3) |
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239 | (1) |
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7.8 Addendum: Similar Functions from External Packages |
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240 | (7) |
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7.9 Prepare to Exit, Save, and Later Retrieve This R Session |
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247 | (2) |
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8 Spearman's Rank-Difference Coefficient of Correlation |
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249 | (50) |
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8.1 Background on This Lesson |
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250 | (3) |
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8.1.1 Description of the Data |
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250 | (3) |
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8.1.2 Null Hypothesis (Ho) |
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253 | (1) |
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8.2 Data Import of a .csv Spreadsheet-Type Data File into R |
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253 | (1) |
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8.3 Organize the Data and Display the Code Book |
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254 | (7) |
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8.4 Conduct a Visual Data Check |
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261 | (14) |
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8.4.1 Use of the Graphics Package |
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262 | (7) |
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8.4.2 Use of the Lattice Package |
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269 | (3) |
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8.4.3 Use of the ggplot2 Package |
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272 | (3) |
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8.5 Descriptive Analysis of the Data |
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275 | (7) |
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8.6 Conduct the Statistical Analysis |
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282 | (12) |
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294 | (1) |
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8.8 Addendum: Kendall's Tau |
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295 | (2) |
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8.9 Prepare to Exit, Save, and Later Retrieve This R Session |
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297 | (2) |
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9 Other Nonparametric Tests for the Biological Sciences |
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299 | (28) |
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300 | (3) |
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9.2 Walsh Test for Two Related Samples of Interval Data |
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303 | (5) |
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9.3 Kolmogorov-Smirnov (K-S) Two-Sample Test |
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308 | (4) |
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9.4 Binomial Logistic Regression |
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312 | (12) |
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9.5 Prepare to Exit, Save, and Later Retrieve This R Session |
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324 | (1) |
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9.6 Future Applications of Nonparametric Statistics |
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325 | (1) |
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326 | (1) |
Index |
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327 | |