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 evaluate differences in means or variances across groups. Methods include analysis of variance (ANOVA), analysis of means (ANOM), t tests, equivalence tests, nonparametric tests, exact tests, F tests, and multiple comparisons of means tests. Probability density function (PDF) and cumulative distribution function (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.

Figure 6.1 Oneway Analysis 

Contents

Overview of Oneway Platform

Example of Oneway Analysis

Launch the Oneway Platform

Data Format

Oneway Report

The Oneway Platform Options

Oneway Analysis Reports

Quantiles Report

Means/Anova/Pooled t Report

Means and Std Deviations Report

t Test Report

Analysis of Means Reports

Means Comparisons Reports

Nonparametric Test Reports

Nonparametric Multiple Comparisons Reports

Unequal Variances Reports

Equivalence Test Reports

Robust Fit Reports

Power Reports

Matching Column Report

Oneway Plot Elements

Mean Diamonds and X-Axis Proportional

Mean Lines, Error Bars, and Standard Deviation Lines

Comparison Circles

Additional Examples of the Oneway Platform

Example of Analysis of Means

Example of Analysis of Means for Variances

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

Statistical Details for Comparison Circles

Statistical Details for Power

Statistical Details for ANOM

Statistical Details for the Summary of Fit Report

Statistical Details for Tests That the Variances Are Equal

Statistical Details for Nonparametric Test Statistics

Statistical Details for the Robust Fit