January 5th Links

1. For those interested in maximum likelihood estimation techniques, Vincent Granville discusses the method of steepest ascent in relation to Google's search algorithm.

2. The Economist: "Only a few fast-developing countries, such as Brazil and China, now seem short of PhDs."

3. U.S. Council of Graduate Schools: The Ph.D. Completion Project

4. Yesterday it was announced that Irish property prices fell back to 2002 levels in 2010, according to reports from MyHome.ie and Sherry Fitzgerald; so it is interesting to read this SSISI paper (2007) by P.J. Drudy which "argues that Ireland’s housing problems stem in part from a particular philosophical orientation which supports the 'commodification' of housing".

5. The (U.K.) Royal Statistical Society "Get Stats" Campaign: 'giving everyone the skills and confidence to use numbers well'.

6. Researchers at Harvard have found a way of using the iPhone to measure people’s moods and have found a correlation between daydreaming and unhappiness.

7. The new Happiness Index to gauge Britain's national mood.

8. The regional impacts of Northern Irish HEIs.

9. Tom McKenzie and Dirk Sliwka: Universities as Stakeholders in their Students' Careers: On the Benefits of Graduate Taxes to Finance Higher Education.

10. CNN Money: Should companies offer sabbaticals?

11. Damien Mulley: "Failure" and Enterprise Culture in Ireland.

Publish or Perish

For fans (or enemies) of p-values

Pearson's correlation between three variables

Pauline Vos has written an article called Pearson's correlation between three variables; using students' basic knowledge of geometry for an exercise in mathematical statistics. The article was recently published in International Journal of Mathematical Education in Science and Technology. Here is a copy of the article abstract:

When studying correlations, how do the three bivariate correlation coefficients between three variables relate? After transforming Pearson's correlation coefficient r into a Euclidean distance, undergraduate students can tackle this problem using their secondary school knowledge of geometry (Pythagoras' theorem and similarity of triangles). Through a geometric interpretation, we start from two correlation coefficients rAB and rBC and then estimate a range for the third correlation rAC. In the case of three records (n = 3), the third correlation rAC can only attain two possible values. Crossing borders between mathematical disciplines, such as statistics and geometry, can assist students in deepening their conceptual knowledge.

Pearson's correlation between three variables

Pauline Vos has written an article called Pearson's correlation between three variables; using students' basic knowledge of geometry for an exercise in mathematical statistics. The article was recently published in International Journal of Mathematical Education in Science and Technology. Here is a copy of the article abstract:

When studying correlations, how do the three bivariate correlation coefficients between three variables relate? After transforming Pearson's correlation coefficient r into a Euclidean distance, undergraduate students can tackle this problem using their secondary school knowledge of geometry (Pythagoras' theorem and similarity of triangles). Through a geometric interpretation, we start from two correlation coefficients rAB and rBC and then estimate a range for the third correlation rAC. In the case of three records (n = 3), the third correlation rAC can only attain two possible values. Crossing borders between mathematical disciplines, such as statistics and geometry, can assist students in deepening their conceptual knowledge.