1. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Organizing data in tables and charts: Different criteria for different tasks Jane E. Miller, PhD

2. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Overview Review of strengths and weaknesses of tables, charts, and prose for organizing and conveying numeric information. Ways that different types of variables affect choices for the most effective ways to organize data in a table or chart. Principles for organizing variables in tables or charts: – For those accompanied by narrative explanation. – For user-guided data look up.

3. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Strengths and weaknesses of different tools

4. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Complementary use of prose, tables and charts Use tables and charts to present full set of numeric values. Use prose to – describe the pattern, – address the hypothesis. Use same ordering principle in table or chart and its accompanying prose. – Improves clarity of narrative line.

5. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Why does order of variables matter? The arrangement of items in a table or chart should coordinate with order they are mentioned in the prose description. – Avoid zigzagging back and forth across a chart or among rows and columns of a table. Usually describe a pattern based on observed numeric values, e.g., most to least common. Often a hypothesis includes some theoretical basis of how items relate to one another.

6. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Ordinal and continuous variables Values of ordinal, interval, and ratio variables have an inherent numeric order. – E.g., age groups, dates, blood pressure. Numeric or chronological order of values is the principle for organizing those values in a table or chart.

7. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Nominal variables Values of nominal variables have no inherent numeric order. – E.g., categories of race, gender, or region. Need an organizing principle to determine sequence of items. Same issue if you have more than one variable to present. – Several different causes of death. – Prevalence of each of several symptoms, attitudes, etc.

8. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Prose description of a pattern A prose description should – Describe size and shape of the pattern. – Explain whether it matches hypothesis. Specify direction and magnitude of association. – Direction: “Which is higher? – Magnitude: “How much higher?”

9. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Direction for different types of variables Direction for ordinal, interval, or ratio variable: – Is the relationship positive, negative, or level? E.g., as income rises, do death rates increase, decrease, or remain constant? For nominal variables: – Which category of the independent variable has the highest value of the dependent variable? E.g., which gender has the higher death rate?

10. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Principles for organizing data Alphabetical order Order of items on original data collection instrument Empirical order Theoretical groupings Arbitrary order – NEVER a good idea! – Think about how the data will be used, and choose one of the above principles!

11. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Organizing data in tables and charts to be accompanied by prose: Pattern description or hypothesis testing

12. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Example: Attitudes about legal abortion “Please tell me whether or not you think it should be possible for a pregnant woman to obtain a legal abortion” % of respondents who agree If the woman wants it for any reason 43.7 If there is a strong chance of defect in the baby 79.8 If the woman's own health is seriously endangered by the pregnancy 88.2 If she is not married and does not want to marry the man 42.5 If she becomes pregnant as a result of rape 80.8 If she is married and does not want any more children 44.4 From the 2000 US General Social Survey

13. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Order of items from questionnaire

14. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Alphabetical order

15. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Empirical order (descending)

16. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Theoretical grouping

17. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Both theoretical and empirical criteria

18. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Pattern with a third variable * Difference between men and women is statistically significant at p < 0.05

19. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Identifying theoretical criteria Consult the published literature on your topic to learn about theoretical criteria for organizing your variables. In new research areas, empirical sorting may yield clusters with similar response patterns that can then be explored for conceptual overlap.

20. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. For self-guided data look up Why is it important? When is it used? – Researchers look up data for own research questions, then organize the data using empirical or theoretical criteria. How to organize data for such tasks? – Alphabetical order. – Order of items from data collection instrument. – Standard ordering used in periodic reports.

21. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Alphabetical order Widely familiar principle, e.g., used in Phone book Daily stock market report Learned at an early age Facilitates self-guided lookup

22. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Ordering for a public data source Order of items on original data collection instrument – Users can refer to codebook – Easy to find the variables they need Ordering used in periodic reports – Standardized from year to year for a given topic

23. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Summary There is no one principle for organizing numeric data that fits all possible tasks. Determine your main objective: – Hypothesis testing or pattern description – Data reporting for others’ use Choose the organizing principle accordingly.

24. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Suggested resources Chapters 5 and 6 in Miller, J. E. 2013. The Chicago Guide to Writing about Multivariate Analysis, 2 nd Edition. Miller, J. E. 2007. “Organizing Data in Tables and Charts: Different Criteria for Different Tasks.” Teaching Statistics 29 (3): 98–101. Podcast on creating effective tables and charts.

25. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Suggested practice exercises Study guide to The Chicago Guide to Writing about Multivariate Analysis, 2nd Edition. – Question 4 in the problem set for chapter 6 – Suggested course extensions for Chapter 5 – “Reviewing” exercise #2 – “Writing and revising” exercises #1–4 Chapter 6 – “Reviewing” exercise #3 – “Writing and revising” exercises #1 and 2

26. The Chicago Guide to Writing about Multivariate Analysis, 2 nd edition. Contact information Jane E. Miller, PhD jmiller@ifh.rutgers.edu Online materials available at http://press.uchicago.edu/books/miller/multivariate/index.html