Table of Contents
JMP Start Statistics, Sixth Edition
Interact with the Report Surface
Navigating Platforms and Building Context
Contexts for Nonparametric Statistics
3 Data Tables, Reports, and Scripts
The Ins and Outs of a JMP Data Table
Selecting and Deselecting Rows and Columns
Mousing around a Data Table: Cursor Forms
Create Interactive Web Reports
Give New Shape to a Table: Stack Columns
Create Summary Statistics with the Summary Command
Create Summary Statistics with Tabulate
Opening and Running Stand-alone Scripts
The Formula Editor and the JMP Scripting Language
A Quick Example: Standardizing Data
Using Popular Formula Functions
Writing Conditional Expressions
Summarizing Data with the Formula Editor
Local Variables and Table Variables
Cutting, Dragging, and Pasting Formulas
The Yin and Yang of Statistics
Flipping Coins, Sampling Candy, or Drawing Marbles
Probability of Making a Triangle
7 Univariate Distributions: One Variable, One Sample
True Distribution Function or Real-World Sample Distribution
Describing Distributions of Values
Outlier and Quantile Box Plots
Other Summary Statistics: Skewness and Kurtosis
Statistical Inference on the Mean
Confidence Intervals for the Mean
Testing Hypotheses: Terminology
The Normal z-Test for the Mean
Case Study: The Earth’s Ecliptic
Comparing the Normal and Student’s t Distributions
Practical Significance versus Statistical Significance
Statistical Tests for Normality
Special Topic: Practical Difference
Special Topic: Simulating the Central Limit Theorem
Seeing Kernel Density Estimates
8 The Difference Between Two Means
When the Difference Isn’t Significant
Launch the Fit Y by X Platform
Analysis of Variance and the All-Purpose F-Test
How Many More Observations Are Needed?
When the Difference Is Significant
Normality and Normal Quantile Plots
Testing Means for Matched Pairs
Look at the Distribution of the Difference
The Matched Pairs Platform for a Paired t-Test
Optional Topic: An Equivalent Test for Stacked Data
Two Extremes of Neglecting the Pairing Situation: A Dramatization
Introduction to Nonparametric Methods
Paired Means: The Wilcoxon Signed-Rank Test
Independent Means: The Wilcoxon Rank Sum Test
9 Comparing Many Means: One-Way Analysis of Variance
Means Diamonds: A Graphical Description of Group Means
Statistical Tests to Compare Means
Means Comparisons for Balanced Data
Means Comparisons for Unbalanced Data
Adjusting for Multiple Comparisons
Are the Variances Equal across the Groups?
Testing Means with Unequal Variances
Review of Rank-Based Nonparametric Methods
10 Fitting Curves through Points: Regression
Fitting a Line and Testing the Slope
Testing the Slope By Comparing Models
The Distribution of the Parameter Estimates
Confidence Intervals on the Estimates
What Happens When X and Y Are Switched?
Sometimes It’s the Picture That Fools You
The Pappus Mystery on the Obliquity of the Ecliptic
Categorical Responses and Count Data: Two Outlooks
A Simulated Categorical Response
Simulating Some Categorical Response Data
Monte Carlo Simulations for the Estimators
The X2 Pearson Chi-Square Test Statistic
The G2 Likelihood-Ratio Chi-Square Test Statistic
The G2 Likelihood Ratio Chi-Square Test
Univariate Categorical Chi-Square Tests
Comparing Univariate Distributions
Fitting Categorical Responses to Categorical Factors: Contingency Tables
Testing with G2 and X2 Statistic
Two-Way Tables: Entering Count Data
Expected Values under Independence
Entering Two-Way Data into JMP
Special Topic: Correspondence Analysis— Looking at Data with Many Levels
Continuous Factors with Categorical Responses: Logistic Regression
Polytomous (Multinomial) Responses: More Than Two Levels
Ordinal Responses: Cumulative Ordinal Logistic Regression
Surprise: Simpson’s Paradox: Aggregate Data versus Grouped Data
Residuals and Predicted Values
The Analysis of Variance Table
Exact Collinearity, Singularity, and Linear Dependency
The Longley Data: An Example of Collinearity
The Case of the Hidden Leverage Point
Mining Data with Stepwise Regression
Types of Effects in Linear Models
Coding Scheme to Fit a One-Way ANOVA as a Linear Model
Analysis of Covariance: Continuous and Categorical Terms in the Same Model
The Whole-Model Test and Leverage Plot
Effect Tests and Leverage Plots
Separate Slopes: When the Covariate Interacts with a Categorical Effect
Two-Way Analysis of Variance and Interactions
Optional Topic: Random Effects and Nested Effects
Method 1: Random Effects-Mixed Model
Method 2: Reduction to the Experimental Unit
Method 3: Correlated Measurements-Multivariate Model
Enter the Response and Factors
Perform Experiment and Enter Data
Details of the Design: Confounding Structure
Choices in the Custom Designer
An Interaction Model: The Reactor Data
Some Routine Screening Examples
All Two-Factor Interactions Involving a Single Factor
Response Surface Designs in JMP
Analyzing the Odor Response Surface Design
Specifying Response Surface Effects Manually
The Custom Designer versus the Response Surface Design Platform
The Box Corrosion Split-Plot Experiment
Analysis of Split-Plot Designs
16 Bivariate and Multivariate Relationships
The Elliptical Contours of the Normal Distribution
Correlations and the Bivariate Normal
Simulating Bivariate Correlations
Correlations across Many Variables
Outliers in Three and More Dimensions
Identify Variation with Principal Components Analysis
Principal Components for Six Variables
How Many Principal Components?
Stepwise Discriminant Variable Selection
Hierarchical Clustering: How Does It Work?
Recursive Partitioning (Decision Trees)
Exploratory Modeling with Partition
18 Control Charts and Capability
What Does a Control Chart Look Like
Control Charts for Variables Data
Variables Charts Using Control Chart Builder
The Control Chart Builder Work Space
Control Chart Builder Examples
Control Charts for Attributes Data
Uniformly Weighted Moving Average (UWMA) Charts
Exponentially Weighted Moving Average (EWMA) Chart
Capability for One Process Measurement
Capability for Many Process Measurements
Capability for Time-Ordered Data
A Few Words about Measurement Systems
Springs for Continuous Responses
Effect of Sample Size Significance
Effect of Error Variance on Significance
Experimental Design’s Effect on Significance
Summary: Significance and Power
Mechanics of Fit for Categorical Responses
How Do Pressure Cylinders Behave?
One-Way Layout for Categorical Data
A Answers to Selected Exercises
Chapter 7, “Univariate Distributions: One Variable, One Sample”
Chapter 8, “The Difference Between Two Means”
Chapter 9, “Comparing Many Means: One-Way Analysis of Variance”
Chapter 10, “Fitting Curves through Points: Regression”
Chapter 11, “Categorical Distributions”
Chapter 12, “Categorical Models”
Chapter 13, “Multiple Regression”
Chapter 14, “Fitting Linear Models”
Chapter 15, “Design of Experiments”
Chapter 16, “Bivariate and Multivariate Relationships”
Chapter 17, “Exploratory Modeling”