Applied Statistical Inference with MINITAB®
Chapman & Hall/CRC (Verlag)
978-1-4200-6583-1 (ISBN)
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Through clear, step-by-step mathematical calculations, Applied Statistical Inference with MINITAB enables students to gain 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.
Illustrates the techniques and methods using MINITAB
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.
Establishes a foundation for studying more complex topics
Ideal for students in the social sciences, this text shows how to implement basic inferential techniques in practice using MINITAB. It establishes the foundation for students to build on work in more advanced inferential statistics.
Sally A. Lesik is professor of mathematics at Central Connecticut State University. Dr. Lesik has taught many mathematics, statistics, engineering, and physics courses. Her primary research is in applied statistical inference. .
Introduction
What This Book Is About
Types of Studies
What Is Statistics?
Types of Variables
Classification of Variables
Entering Data into MINITAB
Graphing Variables
Introduction
Histograms
Using MINITAB to Create Histograms
Stem-and-Leaf Plots
Using MINITAB to Create a Stem-and-Leaf Plot
Bar Charts
Using MINITAB to Create a Bar Chart
Box Plots
Using MINITAB to Create Box Plots
Scatter Plots
Using MINITAB to Create Scatter Plots
Marginal Plots
Using MINITAB to Create Marginal Plots
Descriptive Representations of Data and Random Variables
Introduction
Descriptive Statistics
Measures of Center
Measures of Spread
Using MINITAB to Calculate Descriptive Statistics
Random Variables and Their Distributions
Sampling Distributions
Basic Statistical Inference
Introduction
Confidence Intervals
Using MINITAB to Calculate Confidence Intervals for a Population Mean
Hypothesis Testing: A One-Sample t-Test for a Population Mean
Using MINITAB for a One-Sample t-Test
Power Analysis for a One-Sample t-Test
Using MINITAB for a Power Analysis for a One-Sample t-Test
Confidence Interval for the Difference between Two Means
Using MINITAB to Calculate a Confidence Interval for the Difference between Two Means
Testing the Difference between Two Means
Using MINITAB to Test the Difference between Two Means
Using MINITAB to Create an Interval Plot
Using MINITAB for a Power Analysis for a Two-Sample t-Test
Confidence Intervals and Hypothesis Tests for Proportions
Using MINITAB for a One-Sample Proportion
Power Analysis for a One-Sample Proportion
Differences between Two Proportions
Using MINITAB for Two-Sample Proportion Confidence Intervals and Hypothesis Tests
Power Analysis for a Two-Sample Proportion
Simple Linear Regression
Introduction
The Simple Linear Regression Model
Model Assumptions
Finding the Equation of the Line of Best Fit
Using MINITAB for Simple Linear Regression
Regression Inference
Inferences about the Population Regression Parameters
Using MINITAB to Test the Population Slope Parameter
Confidence Intervals for the Mean Response for a Specific Value of the Predictor Variable
Prediction Intervals for a Response for a Specific Value of the Predictor Variable
Using MINITAB to Find Confidence and Prediction Intervals
More on Simple Linear Regression
Introduction
The Coefficient of Determination
Using MINITAB to Find the Coefficient of Determination
The Sample Coefficient of Correlation
Correlation Inference
Using MINITAB for Correlation Analysis
Assessing Linear Regression Model Assumptions
Using MINITAB to Create Exploratory Plots of Residuals
A Formal Test of the Normality Assumption
Using MINITAB for the Ryan–Joiner Test
Assessing Outliers
Assessing Outliers: Leverage Values
Using MINITAB to Calculate Leverage Values
Assessing Outliers: Internally Studentized Residuals
Assessing Outliers: Cook’s Distances
Using MINITAB to Find Cook’s Distances
How to Deal with Outliers
Multiple Regression Analysis
Introduction
Basics of Multiple Regression Analysis
Using MINITAB to Create a Matrix Plot
Using MINITAB for Multiple Regression
The Coefficient of Determination for Multiple Regression
The Analysis of Variance Table
Testing Individual Population Regression Parameters
Using MINITAB to Test Individual Regression Parameters
Multicollinearity
Variance Inflation Factors
Using MINITAB to Calculate Variance Inflation Factors
Multiple Regression Model Assumptions
Using MINITAB to Check Multiple Regression Model Assumptions
Quadratic and Higher-Order Predictor Variables
Using MINITAB to Create a Quadratic Variable
More on Multiple Regression
Introduction
Using Categorical Predictor Variables
Using MINITAB for Categorical Predictor Variables
The Adjusted R2
Best Subsets Regression
Using MINITAB for Best Subsets Regression
Confidence and Prediction Intervals for Multiple Regression
Using MINITAB to Calculate Confidence and Prediction Intervals for a Multiple Regression Analysis
Assessing Outliers
Analysis of Variance (ANOVA)
Introduction
Basic Experimental Design
One-Way ANOVA
Model Assumptions
The Assumption of Constant Variance
The Normality Assumption
Using MINITAB for One-Way ANOVAs
Multiple Comparison Techniques
Using MINITAB for Multiple Comparisons
Power Analysis and One-Way ANOVA
Other Topics
Introduction
Two-Way Analysis of Variance
Using MINITAB for a Two-Way ANOVA
Nonparametric Statistics
Wilcoxon Signed-Rank Test
Using MINITAB for the Wilcoxon Signed-Rank Test
Kruskal–Wallis Test
Using MINITAB for the Kruskal–Wallis Test
Basic Time Series Analysis
Index
Exercises appear at the end of each chapter.
| Erscheint lt. Verlag | 21.12.2009 |
|---|---|
| Zusatzinfo | PPI 606; 93 Tables, black and white; 376 Illustrations, black and white |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Gewicht | 794 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Statistik |
| ISBN-10 | 1-4200-6583-1 / 1420065831 |
| ISBN-13 | 978-1-4200-6583-1 / 9781420065831 |
| Zustand | Neuware |
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