Preface |
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xiii | |
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Introduction to Statistics and Data Analysis |
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1 | (21) |
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Overview: Statistical Inference, Samples, Populations, and Experimental Design |
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1 | (3) |
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4 | (3) |
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Sampling Procedures; Collection of Data |
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7 | (2) |
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Measures of Location: The Sample Mean |
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9 | (2) |
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11 | (3) |
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Discrete and Continuous Data |
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14 | (1) |
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Statistical Modeling, Scientific Inspection, and Graphical Diagnostics |
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14 | (2) |
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Graphical Methods and Data Description |
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16 | (6) |
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22 | (41) |
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22 | (3) |
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25 | (6) |
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31 | (8) |
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39 | (4) |
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43 | (4) |
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47 | (3) |
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50 | (7) |
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57 | (6) |
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61 | (2) |
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Random Variables and Probability Distributions |
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63 | (25) |
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Concept of a Random Variable |
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63 | (2) |
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Discrete Probability Distributions |
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65 | (4) |
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Continuous Probability Distributions |
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69 | (5) |
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Joint Probability Distributions |
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74 | (14) |
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86 | (2) |
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88 | (27) |
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Mean of a Random Variable |
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88 | (7) |
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95 | (8) |
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Means and Variances of Linear Combinations of Random Variables |
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103 | (7) |
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110 | (5) |
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114 | (1) |
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Some Discrete Probability Distributions |
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115 | (27) |
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115 | (1) |
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Discrete Uniform Distribution |
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116 | (1) |
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Binomial and Multinomial Distributions |
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117 | (9) |
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Hypergeometric Distribution |
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126 | (6) |
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Negative Binomial and Geometric Distributions |
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132 | (3) |
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Poisson Distribution and the Poisson Process |
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135 | (7) |
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140 | (2) |
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Some Continuous Probability Distributions |
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142 | (35) |
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Continuous Uniform Distribution |
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142 | (1) |
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143 | (4) |
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Areas Under the Normal Curve |
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147 | (5) |
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Applications of the Normal Distribution |
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152 | (6) |
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Normal Approximation to the Binomial |
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158 | (7) |
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Gamma and Exponential Distributions |
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165 | (3) |
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Applications of the Exponential and Gamma Distributions |
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168 | (2) |
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170 | (1) |
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171 | (1) |
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172 | (5) |
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175 | (2) |
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Functions of Random Variables {Optional) |
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177 | (17) |
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177 | (1) |
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Transformations of Variables |
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177 | (9) |
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Moments and Moment-Generating Functions |
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186 | (8) |
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Fundamental Sampling Distributions and Data Descriptions |
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194 | (36) |
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194 | (3) |
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Some Important Statistics |
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197 | (4) |
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Data Displays and Graphical Methods |
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201 | (7) |
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208 | (1) |
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Sampling Distribution of Means |
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209 | (7) |
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Sampling Distribution of S2 |
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216 | (3) |
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219 | (5) |
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224 | (6) |
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228 | (2) |
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One- and Two-Sample Estimation Problems |
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230 | (54) |
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230 | (1) |
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230 | (1) |
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Classical Methods of Estimation |
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231 | (3) |
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Single Sample: Estimating the Mean |
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234 | (6) |
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Standard Error of a Point Estimate |
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240 | (1) |
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241 | (2) |
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243 | (3) |
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Two Samples: Estimating the Difference Between Two Means |
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246 | (7) |
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253 | (4) |
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Single Sample: Estimating a Proportion |
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257 | (4) |
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Two Samples: Estimating the Difference Between Two Proportions |
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261 | (3) |
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Single Sample: Estimating the Variance |
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264 | (1) |
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Two Samples: Estimating the Ratio of Two Variances |
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265 | (3) |
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Bayesian Methods of Estimation (Optional) |
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268 | (7) |
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Maximum Likelihood Estimation (Optional) |
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275 | (9) |
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281 | (3) |
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One- and Two-Sample Tests of Hypotheses |
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284 | (66) |
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Statistical Hypotheses: General Concepts |
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284 | (2) |
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Testing a Statistical Hypothesis |
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286 | (8) |
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One- and Two-Tailed Tests |
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294 | (1) |
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The Use of P-Values for Decision Making |
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295 | (5) |
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Single Sample: Tests Concerning a Single Mean (Variance Known) |
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300 | (3) |
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Relationship to Confidence Interval Estimation |
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303 | (1) |
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Single Sample: Tests on a Single Mean (Variance Unknown) |
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304 | (3) |
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Two Samples: Tests on Two Means |
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307 | (5) |
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Choice of Sample Size for Testing Means |
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312 | (4) |
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Graphical Methods for Comparing Means |
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316 | (7) |
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One Sample: Test on a Single Proportion |
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323 | (3) |
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Two Samples: Tests on Two Proportions |
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326 | (2) |
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One- and Two-Sample Tests Concerning Variances |
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328 | (5) |
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333 | (3) |
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Test for Independence (Categorical Data) |
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336 | (3) |
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339 | (1) |
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Testing for Several Proportions |
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340 | (2) |
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342 | (8) |
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347 | (3) |
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Simple Linear Regression and Correlation |
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350 | (50) |
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Introduction to Linear Regression |
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350 | (1) |
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351 | (4) |
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Least Squares and The Fitted Model |
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355 | (5) |
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Properties of the Least Squares Estimators |
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360 | (3) |
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Inferences Concerning the Regression Coefficients |
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363 | (5) |
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368 | (4) |
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Choice of a Regression Model |
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372 | (1) |
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Analysis-of-Variance Approach |
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373 | (2) |
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Test for Linearity of Regression: Data with Repeated Observations |
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375 | (8) |
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Data Plots and Transformations |
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383 | (4) |
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Simple Linear Regression Case Study |
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387 | (3) |
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390 | (10) |
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396 | (4) |
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Multiple Linear Regression and Certain Nonlinear Regression Models |
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400 | (61) |
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400 | (1) |
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Estimating the Coefficients |
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401 | (3) |
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Linear Regression Model Using Matrices (Optional) |
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404 | (7) |
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Properties of the Least Squares Estimators |
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411 | (2) |
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Inferences in Multiple Linear Regression |
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413 | (7) |
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Choice of a Fitted Model Through Hypothesis Testing |
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420 | (3) |
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Special Case of Orthogonality (Optional) |
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423 | (4) |
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Categorical or Indicator Variables |
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427 | (5) |
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Sequential Methods for Model Selection |
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432 | (6) |
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Study of Residuals and Violation of Assumptions |
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438 | (4) |
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Cross Validation, Cp, and Other Criteria for Model Selection |
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442 | (10) |
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Special Nonlinear Models for Nonideal Conditions |
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452 | (9) |
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456 | (5) |
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One-Factor Experiments: General |
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461 | (58) |
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Analysis-of-Variance Technique |
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461 | (2) |
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The Strategy of Experimental Design |
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463 | (1) |
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One-Way Analysis of Variance: Completely Randomized Design |
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463 | (6) |
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Tests for the Equality Of Several Variances |
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469 | (4) |
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Single-Degree-of-Freedom Comparisons |
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473 | (4) |
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477 | (4) |
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Comparing Treatments with a Control |
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481 | (5) |
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Comparing a Set of Treatments in Blocks |
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486 | (1) |
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Randomized Complete Block Designs |
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487 | (7) |
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Graphical Methods and Further Diagnostics |
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494 | (2) |
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496 | (6) |
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502 | (5) |
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Power of Analysis-of-Variance Tests |
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507 | (4) |
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511 | (8) |
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515 | (4) |
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Factorial Experiments (Two or More Factors) |
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519 | (36) |
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519 | (2) |
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Interaction and the Two-Factor Experiment |
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521 | (1) |
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Two-Factor Analysis of Variance |
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522 | (8) |
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Graphical Analysis in the Two-Factor Problem |
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530 | (5) |
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535 | (10) |
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Model II and III Factorial Experiments |
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545 | (4) |
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549 | (6) |
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552 | (3) |
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2k Factorial Experiments and Fractions |
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555 | (45) |
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555 | (1) |
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Analysis of Variance and the Calculation of Effects |
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556 | (4) |
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Nonreplicated 2k Factorial Experiment |
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560 | (1) |
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Injection Molding Case Study |
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561 | (6) |
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Factorial Experiments in Incomplete Blocks |
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567 | (5) |
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572 | (3) |
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Factorial Experiments in a Regression Setting |
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575 | (4) |
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579 | (3) |
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Fractional Factorial Experiments |
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582 | (3) |
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Analysis of Fractional Factorial Experiments |
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585 | (4) |
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Higher Fractions and Screening Designs |
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589 | (1) |
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Construction of Resolution III and IV Designs with 8,16, and 32 Design Points |
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590 | (1) |
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Other Two-Level Resolution III Designs; The Plackett-Burman Designs |
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591 | (1) |
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Taguchi's Robust Parameter Design |
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592 | (8) |
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598 | (2) |
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600 | (25) |
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600 | (1) |
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601 | (4) |
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605 | (5) |
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610 | (3) |
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613 | (3) |
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616 | (3) |
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619 | (1) |
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Rank Correlation Coefficient |
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620 | (5) |
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624 | (1) |
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Statistical Quality Control |
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625 | (31) |
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625 | (2) |
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Nature of the Control Limits |
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627 | (1) |
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Purposes of the Control Chart |
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627 | (1) |
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Control Charts for Variables |
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628 | (15) |
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Control Charts for Attributes |
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643 | (6) |
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649 | (7) |
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653 | (3) |
Bibliography |
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656 | (3) |
Appendix: Statistical Tables and Proofs |
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659 | (56) |
Answers to Odd-Numbered Exercises |
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715 | (11) |
Index |
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726 | |