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ISBN:9781420065831

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简介

"Through clear, step-by-step mathematical calculations, Applied Statistical Inference with MINITAB provides a solid understanding of how to apply statistical techniques using a statistical software program. It focuses on the concepts of confidence intervals, hypothesis testing, validating model assumptions, and power analysis." "After introducing some common terminology, the author explains how to create simple graphs using MINITAB and how to calculate descriptive statistics using both traditional hand computations and MINITAB. She then delves into statistical inference topics, such as confidence intervals and hypothesis testing, as well as linear regression, including the Ryan-Joiner test. Moving on to multiple regression analysis, the text addresses ANOVA, the issue of multicollinearity, assessing outliers, and more. It also provides a conceptual introduction to basic experimental design and one-way ANOVA. The final chapter discusses two-way ANOVA, nonparametric analyses, and time series analysis." "Taking a practical approach to statistics, this text shows how to implement basic inferential techniques in practice using MINITAB. It establishes the foundation for readers to build on work in more advanced inferential statistics."--BOOK JACKET.

目录

Preface p. xiii
Acknowledgments p. xvii
Introduction p. 1
What This Book Is About p. 1
Graphical Displays of Data p. 2
Descriptive Representations of Data p. 2
Basic Statistical Inference p. 3
Regression Analysis p. 3
Analysis of Variance p. 3
Types of Studies p. 4
What Is Statistics? p. 5
Types of Variables p. 6
Classification of Variables p. 7
Entering Data into MINITAB“ p. 9
Exercises p. 12
Graphing Variables p. 15
Introduction p. 15
Histograms p. 15
Using MINITAB to Create Histograms p. 17
Stem-and-Leaf Plots p. 18
Using MINITAB to Create a Stem-and-Leaf Plot p. 23
Bar Charts p. 24
Using MINITAB to Create a Bar Chart p. 24
Box Plots p. 25
Using MINITAB to Create Box Plots p. 30
Scatter Plots p. 31
Using MINITAB to Create Scatter Plots p. 35
Marginal Plots p. 39
Using MINITAB to Create Marginal Plots p. 39
Exercises p. 39
Descriptive Representations of Data and Random Variables p. 49
Introduction p. 49
Descriptive Statistics p. 49
Measures of Center p. 50
Measures of Spread p. 54
Using MINITAB to Calculate Descriptive Statistics p. 58
Random Variables and Their Distributions p. 61
Sampling Distributions p. 63
Exercises p. 74
Basic Statistical Inference p. 83
Introduction p. 83
Confidence Intervals p. 83
Using MINITAB to Calculate Confidence Intervals for a Population Mean p. 89
Hypothesis Testing: A One-Sample t-Test for a Population Mean p. 91
Using MINITAB for a One-Sample t-Test p. 97
Power Analysis for a One-Sample t-Test p. 103
Using MINITAB for a Power Analysis for a One-Sample t-Test p. 104
Confidence Interval for the Difference between Two Means p. 110
Using MINITAB to Calculate a Confidence Interval for the Difference between Two Means p. 112
Testing the Difference between Two Means p. 115
Using MINITAB to Test the Difference between Two Means p. 118
Using MINITAB to Create an Interval Plot p. 119
Using MINITAB for a Power Analysis for a Two-Sample t-Test p. 121
Confidence Intervals and Hypothesis Tests for Proportions p. 127
Using MINITAB for a One-Sample Proportion p. 131
Power Analysis for a One-Sample Proportion p. 133
Differences between Two Proportions p. 135
Using MINITAB for Two-Sample Proportion Confidence Intervals and Hypothesis Tests p. 139
Power Analysis for a Two-Sample Proportion p. 141
Exercises p. 144
Reference p. 154
Simple Linear Regression p. 155
Introduction p. 155
Simple Linear Regression Model p. 156
Model Assumptions p. 163
Finding the Equation of the Line of Best Fit p. 164
Using MINITAB for Simple Linear Regression p. 167
Regression Inference p. 171
Inferences about the Population Regression Parameters p. 172
Using MINITAB to Test the Population Slope Parameter p. 175
Confidence Intervals for the Mean Response for a Specific Value of the Predictor Variable p. 177
Prediction Intervals for a Response for a Specific Value of the Predictor Variable p. 178
Using MINITAB to Find Confidence and Prediction Intervals p. 180
Exercises p. 190
More on Simple Linear Regression
Introduction p. 193
Coefficient of Determination p. 193
Using MINITAB to Find the Coefficient of Determination p. 195
Sample Coefficient of Correlation p. 196
Correlation Inference p. 200
Using MINITAB for Correlation Analysis p. 204
Assessing Linear Regression Model Assumptions p. 204
Using MINITAB to Create Exploratory Plots of Residuals p. 206
Formal Test of the Normality Assumption p. 217
Using MINITAB for the Ryan-Joiner Test p. 219
Assessing Outliers p. 219
Assessing Outliers: Leverage Values p. 221
Using MINITAB to Calculate Leverage Values p. 222
Assessing Outliers: Internally Studentized Residuals p. 225
Using MINITAB to Calculate Internally Studentized Residuals p. 226
Assessing Outliers: Cook's Distances p. 228
Using MINITAB to Find Cook's Distances p. 228
How to Deal with Outliers p. 229
Exercises p. 231
References p. 238
Multiple Regression Analysis p. 239
Introduction p. 239
Basics of Multiple Regression Analysis p. 239
Using MINITAB to Create a Matrix Plot p. 242
Using MINITAB for Multiple Regression p. 245
Coefficient of Determination for Multiple Regression p. 248
Analysis of Variance Table p. 248
Testing Individual Population Regression Parameters p. 253
Using MINITAB to Test Individual Regression Parameters p. 256
Multicollinearity p. 257
Variance Inflation Factors p. 258
Using MINITAB to Calculate Variance Inflation Factors p. 261
Multiple Regression Model Assumptions p. 264
Using MINITAB to Check Multiple Regression Model Assumptions p. 264
Quadratic and Higher-Order Predictor Variables p. 268
Using MINITAB to Create a Quadratic Variable p. 268
Exercises p. 273
More on Multiple Regression p. 277
Introduction p. 277
Using Categorical Predictor Variables p. 277
Using MINITAB for Categorical Predictor Variables p. 279
Adjusted R2 p. 284
Best Subsets Regression p. 289
Using MINITAB for Best Subsets Regression p. 296
Confidence and Prediction Intervals for Multiple Regression p. 298
Using MINITAB to Calculate Confidence and Prediction Intervals for a Multiple Regression Analysis p. 299
Assessing Outliers p. 302
Exercises p. 303
Analysis of Variance (ANOVA) p. 307
Introduction p. 307
Basic Experimental Design p. 307
One-Way ANOVA p. 309
Model Assumptions p. 316
Assumption of Constant Variance p. 317
Normality Assumption p. 322
Using MINITAB for One-Way ANOVAs p. 323
Multiple Comparison Techniques p. 338
Using MINTTAB for Multiple Comparisons p. 343
Power Analysis and One-Way ANOVA p. 344
Exercises p. 348
References p. 351
Other Topics p. 353
Introduction p. 353
Two-Way Analysis of Variance p. 353
Using MINITAB for a Two-Way ANOVA p. 360
Nonparametric Statistics p. 377
Wilcoxon Signed-Rank Test p. 378
Using MINITAB for the Wilcoxon Signed-Rank Test p. 382
Kruskal-Wallis Test p. 388
Using MINITAB for the Kruskal-Wallis Test p. 391
Basic Time Series Analysis p. 398
Exercises p. 411
p. 415
Index p. 427

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