Oneway Analysis

Examine Relationships between a Continuous Y and a Categorical X Variable

Use the Oneway platform to explore how the distribution of a continuous Y variable differs across groups defined by a categorical X variable. You can use ANOVA, nonparametric tests, or multiple comparisons to evaluate differences in means across groups. Density and CDF plots enable you to visualize the distribution of your response by the X categories. For example, you might want to find out how different categories of the same type of drug (X) affect patient pain levels on a numerical scale (Y).

The Oneway platform is the continuous by nominal or ordinal personality of the Fit Y by X platform. The analysis results appear in a plot, and you can interactively add additional analyses, such as the following:

• a one-way analysis of variance to fit means and to test that they are equal

• nonparametric tests

• a test for homogeneity of variance

• multiple-comparison tests on means, with means comparison circles

• outlier box plots overlaid on each group

• power details for the one-way layout

Figure 6.1 Oneway Analysis 

Contents

Overview of Oneway Analysis

Example of Oneway Analysis

Launch the Oneway Platform

Data Format

The Oneway Plot

Oneway Platform Options

Display Options

Quantiles

Outlier Box Plots

Means/Anova and Means/Anova/Pooled t

The Summary of Fit Report

The t Test Report

The Analysis of Variance Report

The Means for Oneway Anova Report

The Block Means Report

Mean Diamonds and X-Axis Proportional

Mean Lines, Error Bars, and Standard Deviation Lines

Analysis of Means Methods

Analysis of Means for Location

Analysis of Means for Scale

Analysis of Means Charts

Analysis of Means Options

Compare Means

Using Comparison Circles

Each Pair, Student’s t

All Pairs, Tukey HSD

With Best, Hsu MCB

With Control, Dunnett’s

Each Pair Stepwise, Newman-Keuls

Compare Means Options

Nonparametric Tests

The Wilcoxon, Median, Van der Waerden, and Friedman Rank Test Reports

Kolmogorov-Smirnov Two-Sample Test Report

Nonparametric Multiple Comparisons

Unequal Variances

Tests That the Variances Are Equal Report

Equivalence Tests

Equivalence Tests Report

Robust

Robust Fit

Cauchy Fit

Power

Power Details Window and Reports

Normal Quantile Plot

CDF Plot

Densities

Matching Column

Additional Examples of the Oneway Platform

Example of an Analysis of Means Chart

Example of an Analysis of Means for Variances Chart

Example of the Each Pair, Student’s t Test

Example of the All Pairs, Tukey HSD Test

Example of the With Best, Hsu MCB Test

Example of the With Control, Dunnett’s Test

Example of the Each Pair Stepwise, Newman-Keuls Test

Example Contrasting Four Compare Means Tests

Example of the Nonparametric Wilcoxon Test

Example of the Unequal Variances Option

Example of an Equivalence Test

Example of the Robust Fit Option

Example of the Power Option

Example of a Normal Quantile Plot

Example of a CDF Plot

Example of the Densities Options

Example of the Matching Column Option

Example of Stacking Data for a Oneway Analysis

Statistical Details for the Oneway Platform

Comparison Circles

Power

Summary of Fit Report

Tests That the Variances Are Equal

Nonparametric Test Statistics

Want more information? Have questions? Get answers in the JMP User Community (community.jmp.com).