# Quantitative Methods

… one of the core Subjects in Public Management

### Subject description

This public management subject, within the Analysis
and Skills domain, covers the principles and techniques of quantitative methods that are most useful in analyzing public policy. The core topics and concepts of Quantitative Methods are listed below and organized by topic, as they are

The topics and concepts for this subject reflect those taught in the required courses of highly regarded programs. See, for example, the detailed comparison of syllabi for the first-year required courses in quantitative methods at Harvard HKS, Michigan Ford, NYU Wagner, and Wisconsin La Follette in Comparing Course Workload – Quantitative Methods. These are well captured in the remarkable open access resource created by a team of professors led by Rice University:

OnlineStatBook, Online Statistics Education – An Interactive Multimedia Course of Study, at http://onlinestatbook.com/2/index.html, PDF version entitled Introduction to Statistics at http://onlinestatbook.com/Online_Statistics_Education.pdf, accessed 13 May 2016.

We have therefore used OnlineStatBook to help structure the sequence of topics and concept within topics. Indeed, as a temporary measure until we have time to create Atlas pages for each of the concepts we use section headings from OnlineStatBook as the concept name with the link pointing directly to the page on OnlineStatBook.

###### Open access resources

Khan Academy, Probability and Statistics, at https://www.khanacademy.org/math/probability, accessed 12 May 2016.

OnlineStatBook, Online Statistics Education – An Interactive Multimedia Course of Study, at http://onlinestatbook.com/2/index.html, PDF version entitled Introduction to Statistics at http://onlinestatbook.com/Online_Statistics_Education.pdf, accessed 13 May 2016.

Glossary in the OnlineStatBook, at http://onlinestatbook.com/2/glossary/index.html, accessed 13 May 2016.

Saylor Academy Open Textbooks, Introductory Statistics, HTML version at https://saylordotorg.github.io/text_introductory-statistics/, PDF version at http://www.saylor.org/site/textbooks/Introductory%20Statistics.pdf, accessed 11 May 2016.

###### Comparison of topics from open access resources

The table below lists the topic headings in OnlineStatBook, the Saylor Academy book, Introductory Statistics, and in the Khan Academy course Probability and Statistics, and aligns them with the first-draft Atlas topic.

###### Khan Academy Probability and Statistics
The Study of Quantitative Methods Introduction Chapter 1: Introduction Independent and dependent events

Describing Distributions Graphing Distributions

Summarizing Distributions

Chapter 2: Descriptive Statistics Descriptive statistics
Bivariate Data Describing Bivariate Data Chapter 4: Discrete Random Variables

Chapter 5: Continuous Random Variables

Probability Probability Chapter 3: Basic Concepts of Probability Probability and combinatorics

Research Design Research Design Statistical studies

Normal Distributions and Advanced Graphs Normal Distribution

Random variables and probability distributions
Sampling Distributions Sampling Distributions Chapter 6: Sampling Distributions
Estimation and Hypothesis Testing Estimation

Logic of Hypothesis Testing

Chapter 7: Estimation

Chapter 8: Testing Hypotheses

Inferential statistics
Tests of Means and Power Tests of Means

Power

Chapter 9: Two-Sample Problems
Regression Regression Chapter 10: Correlation and Regression Regression
Analysis of Variance Analysis of Variance
Transformation, Chi Square, Distribution Free Tests, and Effect Size Transformations

Chi Square

Distribution Free Tests

Effect Size

Chapter 11: Chi-Square Tests and F-Tests

Page created by: Ian Clark, last modified on 15 May 2016.

Image: Scope, at http://www.scope-mr.ch/en/services/methods/, accessed 10 March 2016.