# 17.4.2 Repeated Measure ANOVA (Pro Only)

## Introduction

As with any ANOVA, repeated measures ANOVA is used for comparing three or more means .However, repeated measures ANOVA is used when all subjects are measured under a number of different conditions. As the subject is exposed to each condition in turn , the measurement of the dependent variable is repeated .Using a standard ANOVA in this case result in inappropriate even incorrect conclusion ,because it fails to model the correlation between the repeated measures: the data violate the ANOVA assumption of independence. If any repeated factor is present, then repeated measures ANOVA should be used.

In addition to determining that differences exist among the means, the repeated measurements ANOVA procedure provides multiple means comparisons that identify which particular means are different.

Repeated measure ANOVA tools in Origin consider three possible designs:

Designs Details
One-way Repeated Measures ANOVA with one repeated-measures factor.
Two-way Repeated Measures ANOVA with two repeated-measures factor.
Two-way Mixed-Design The two-way mixed-design is also known as two way split-plot design (SPANOVA). It is ANOVA with one repeated-measures factor and one between-groups factor.

## Handling Missing Values

In the versions before Origin 2015, Repeated measures ANOVA in Origin requires that sample data are balanced, that is, equal size at each level.

From Origin 2015, if the sample are unbalanced or have missing values,

One-Way/Two-Way Repeated Measure Missing values are excluded in analysis list-wise, i.e. the while row are excluded or data will be truncated to force the data to be balanced Missing values are excluded in analysis and data will be handled as unbalanced with this algorithm.

## Performing Repeated Measure ANOVA

Features Menu Entry
One-way Repeated Measures Statistics: ANOVA: One-way Repeated Measures
Two-way Repeated Measures Statistics: ANOVA: Two-way Repeated Measures
Two-way Mixed-Design Statistics: ANOVA: Two-way Repeated Measures (Example)

 Topics covered in this section: One-Way Repeated Measure ANOVA Two-Way Repeated Measure ANOVA Interpreting Results Algorithms