**Pattern**** Analysis - Crossed Orderings**

**Generic Question: **What is the relationship between two
orderings (variables)?

**Data Type**: Two quantitative, ordinal, or categorical orderings (variables) and
an optional
third ordering.

**
Hypotheses**: Association between two orderings (or pattern among three
orderings). The association can take any
theoretically meaningful pattern, including common linear and monotonic
patterns.

Traditional analogs

**Summary**: This analysis can be used when you wish to
examine the relationship between two or three orderings (variables). For instance, the
association between personality types and voting behaviors or the association
between a drug and clinical outcome. This analysis can therefore be used instead of a chi-square test of
independence, Pearson's r, or Spearman's rho.

**Software Access**: The *Pattern Analysis -- Crossed
Orderings* procedure can be found by selecting "*Analyses -->
Pattern Analysis --> Crossed Orderings*" from the Main Menu. The procedure window
appears as:

**Videos and Files:** The following videos
and files describe the procedure and its various
options. Be sure to set the video quality to High Definition (1080p) if the
browser does not automatically do so. If you wish to follow along with the
analyses on your own computer, download and open the data set(s) linked at the
bottom of this page.

**Definitions**(a list of definitions commonly used in the OOM software and in observation oriented modeling):**Introduction**(a brief introduction to the procedure that describes how the analysis is conducted):**Specific Options**(the Analyze, Missing Values, Randomization Test, etc. options in the analysis and options window above are explained and demonstrated):- Missing Values: Omit or Include
- Randomize (with two sub-options):
- Randomize: All Observations
- Randomize: Deep Structures
- Choosing a randomization procedure (a Powerpoint hand-out explaining what to consider when choosing between the two sub-options)

- Individual Classifications, Append and Save Individual Results
- Third Ordering included in the analysis

**Three-Dimensional Patterns**(shows how to compare simpler and more complex patterns):**Planning Sample Size**(based on the chance-value)- Description of steps in the procedure to determine sample size (read this before watching the videos linked below)
- Creating a Data Set and Running the Analysis
- Going through the Process with a larger Sample Size
- Summary and Closing Comments

**Reporting Results**

- Example APA write-ups for the
*Pattern Analysis -- Crossed Orderings*procedure. - See our
From Means and Variances to Persons and Patterns paper in which the
*Pattern Analysis - Crossed Orderings*procedure was demonstrated.

**Data**

**Data Sets**(used in videos above)- Big Five Vignette Prediction Data, n = 142
- Height Data, n = 206
- Therapy 3-way data, n = 500