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ix | |
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xiii | |
Preface |
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xv | |
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1 Statistics and Data: What do Numbers have to do with Trees? |
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1 | (8) |
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1 | (1) |
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2 | (2) |
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4 | (1) |
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5 | (4) |
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6 | (3) |
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2 Descriptive Statistics: Making Sense of Data |
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9 | (26) |
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9 | (5) |
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14 | (5) |
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2.3 Measures of Central Location |
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19 | (4) |
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2.4 Measures of Variation |
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23 | (6) |
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29 | (1) |
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2.6 Computers and Statistical Software |
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30 | (5) |
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31 | (4) |
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3 Probability: the Foundation of Statistics |
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35 | (26) |
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3.1 Sample Space and Events |
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35 | (4) |
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39 | (5) |
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44 | (2) |
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3.4 Rules for Probabilities |
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46 | (7) |
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53 | (8) |
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55 | (6) |
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4 Random Variables and Probability Distributions: Outcomes of Random Experiments |
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61 | (18) |
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61 | (1) |
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4.2 Probability Distributions |
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62 | (4) |
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4.3 Mean of a Random Variable |
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66 | (4) |
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4.4 Variance of a Random Variable |
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70 | (2) |
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4.5 Rules of Mathematical Expectations Related to the Mean and Variance |
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72 | (7) |
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75 | (4) |
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5 Some Discrete Probability Distributions: Describing Data that are Counted |
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79 | (14) |
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79 | (1) |
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5.2 Binomial and Multinomial Distributions |
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80 | (4) |
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53 Hypergeometrtc and Multivariate Hypergeometnc Distributions |
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84 | (3) |
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5.4 Geometric and Negative Binomial Distributions |
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87 | (1) |
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88 | (5) |
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89 | (4) |
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6 Continuous Distributions and the Normal Distribution: Describing Data that are Measured |
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93 | (18) |
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93 | (2) |
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6.2 Exponential Distribution |
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95 | (1) |
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96 | (8) |
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6.4 Normal Approximation to the Binomial Distribution |
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104 | (7) |
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107 | (4) |
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7 Sampling Distributions: The Foundation of Inference |
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111 | (36) |
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7.1 Sampling and Sampling Distributions |
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111 | (4) |
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7.2 Sampling Distribution of the Mean |
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115 | (8) |
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7.3 Sampling Distribution of the Sample Proportion |
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123 | (2) |
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7.4 Sampling Distribution of the Differences between Two Means |
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125 | (9) |
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125 | (7) |
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132 | (2) |
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7.5 Sampling Distribution of the Differences between Two Proportions |
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134 | (2) |
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7.6 Sampling Distribution of the Variance |
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136 | (2) |
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7.7 Sampling Distribution of the Ratios of Two Variances |
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138 | (2) |
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7.8 Some Concluding Remarks about Sampling Distributions |
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140 | (7) |
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141 | (6) |
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8 Estimation: Determining the Value of Population Parameters |
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147 | (26) |
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147 | (1) |
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148 | (1) |
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149 | (6) |
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8.4 Estimating Proportions |
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155 | (2) |
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8.5 Estimating the Difference between Two Means |
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157 | (5) |
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157 | (4) |
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161 | (1) |
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8.6 Estimating the Difference of Two Proportions |
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162 | (1) |
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8.7 Estimating the Variance |
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163 | (2) |
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8.8 Estimating the Ratio of Two Variances |
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165 | (8) |
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167 | (6) |
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9 Tests of Hypotheses: Making Claims about Population Parameters |
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173 | (28) |
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9.1 Statistical Hypothesis and Test Procedures |
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173 | (6) |
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9.2 Tests Concerning Means |
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179 | (3) |
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9.3 Tests Concerning Proportions |
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182 | (1) |
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9.4 Tests Concerning Variances |
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183 | (2) |
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9.5 Tests Concerning the Difference between Two Means |
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185 | (5) |
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185 | (4) |
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189 | (1) |
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9.6 Tests Concerning the Difference between Two Proportions |
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190 | (2) |
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9.7 Tests Concerning the Ratio of Two Variances |
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192 | (4) |
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196 | (5) |
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196 | (5) |
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10 Goodness-of-fit and Test for Independence: Testing Distributions |
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201 | (16) |
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10.1 Goodness-of-fit Test |
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201 | (5) |
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10.2 Test for Independence |
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206 | (11) |
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213 | (4) |
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11 Regression and Correlation: Relationships between Variables |
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217 | (34) |
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11.1 Simple Linear Regression |
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218 | (21) |
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Determination of the regression equation |
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218 | (6) |
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224 | (6) |
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Sampling distributions and tests concerning the regression coefficients and predictions |
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230 | (6) |
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236 | (3) |
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11.2 Correlation Analysis |
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239 | (1) |
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240 | (4) |
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244 | (7) |
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246 | (5) |
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12 Analysis of Variance: Testing Differences between Several Means |
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251 | (26) |
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12.1 One-way Analysis of Variance |
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252 | (9) |
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12.2 Multiple Comparisons |
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261 | (4) |
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262 | (1) |
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263 | (2) |
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12.3 Test for Equality of Variances |
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265 | (1) |
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12.4 Two-way Analysis of Variance |
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266 | (11) |
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274 | (3) |
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13 Sampling Methods and Design of Experiments: Collecting Data |
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277 | (10) |
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277 | (3) |
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278 | (1) |
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Stratified random sampling |
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278 | (1) |
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278 | (1) |
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279 | (1) |
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280 | (1) |
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13.2 Experimental Designs |
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280 | (7) |
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Completely randomized design |
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281 | (1) |
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Randomized complete block design |
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282 | (1) |
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283 | (2) |
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285 | (2) |
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14 Non-parametric Tests: Testing when Distributions are Unknown |
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287 | (21) |
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291 | (2) |
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14.2 Wilcoxon Signed Rank Test |
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293 | (3) |
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14.3 Wilcoxon Rank Sum Test |
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296 | (1) |
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297 | (3) |
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300 | (1) |
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14.6 Spearman's Rank Correlation Test |
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301 | (7) |
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301 | (7) |
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15 Quality Control: Statistics for Production and Processing |
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308 | (41) |
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308 | (4) |
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312 | (37) |
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313 | (4) |
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317 | (4) |
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Solutions to Odd-numbered Questions |
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321 | (28) |
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349 | (36) |
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A.1 Binomial Probabilities |
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351 | (7) |
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A.2 Poisson Probabilities |
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358 | (5) |
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A.3 Areas Under the Normal Curve |
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363 | (1) |
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364 | (1) |
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A.5 Critical Values for the t Distribution |
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365 | (1) |
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A.6 Critical Values for the X2 Distribution |
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366 | (1) |
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A.7 Critical Values for the F Distribution |
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367 | (6) |
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A.8 Critical Values for the r Distribution |
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373 | (4) |
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A.9 Critical Values for the Bonferroni t Statistic |
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377 | (1) |
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A.10 Critical Values for the Wilcoxon Signed Rank Test |
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378 | (1) |
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A.11 Critical Values for the Wilcoxon Rank Sum Test |
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379 | (2) |
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A.12 Critical Values for the Runs Test |
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381 | (2) |
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A.13 Critical Values for Spearman's Rank Correlation Coefficient Test |
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383 | (2) |
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385 | (2) |
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385 | (2) |
Glossary |
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387 | (14) |
Index |
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401 | |