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2010-02-02 (5)

2010-02-02 (5) - Today’s Overview Review Readings...

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Unformatted text preview: Today’s Overview Review Readings : Unknowns & Unknowables Friends Jazz Musicians Extracting Concepts People in Prison Sampling Review - Small World Networks (Milgram 1967, Watts 2003) Milgram:  Most people chosen at random can be connected by a path of some distance (contestable from his results, but later verifications suggest the conclusion was correct)  The average length of that path is relatively short Watts:  Small worlds are small because small world graphs have: a relatively small L (average path length) Q - What is “geodesic” distance? and a relatively large C (clustering) Matrices 1 3 4 5 6 2 7 R M 1 2 3 4 5 6 7 1 . 1 1 1 1 1 2 1 . 1 1 1 1 3 1 1 . 1 1 1 4 1 1 1 . 1 1 5 1 1 1 1 . 1 6 1 1 1 1 1 . 7 . M 1 2 3 4 5 6 7 1 1 2 1 3 1 1 1 4 1 1 1 5 1 1 6 1 1 7 GD M 1 2 3 4 5 6 7 1 . 2 1 2 3 3 ∞ 2 2 . 1 2 3 3 ∞ 3 1 1 . 1 2 2 ∞ 4 2 2 1 . 1 1 ∞ 5 3 3 2 1 . 1 ∞ 6 3 3 2 1 1 . ∞ 7 ∞ ∞ ∞ ∞ ∞ ∞ . Adjacency Matrix Geodesic Distance Matrix Reachability Matrix Today’s Overview Review Readings : Unknowns & Unknowables Friends Jazz Musicians Extracting Concepts People in Prison Sampling Basic Structure of a Research Article 1. Introduction  Statement of the Question 2. Background  Hypotheses to be Tested 3. Data  Population and Sampling Method 4. Methods  Basic understanding of approach for Analysis 5. Findings  Significant Results 6. Discussion  Hypotheses supported/not; Limitations 7. Conclusion  Generalizability, Extensions, New Questions Scott Feld (1991) 1. Introduction (Question)  What is an adequate number of friends? 2. Background (Hypothesis)  Any person trying to estimate “an adequate number of friends” is likely to feel inadequate, because they will estimate based on counting their friends’ friends, and their friends will have more friends than they do 3. Data (Population & Sample)  Coleman’s The Adolescent Society data from 12 schools 4. Methods (How test H?)  enumerate all friends  count only those that are reciprocated 5. Findings (Present Answer)  Figure 3 Scott Feld (1991, p. 1469) Mean vs. Median mean = 2.6 median = 2 mean = 3.97 median = 4 Scott Feld (1991) 1. Introduction (Question)  What is an adequate number of friends? 2. Background (Hypothesis)  Any person trying to estimate “an adequate number of friends” is likely to feel inadequate, because they will estimate based on counting their friends’ friends, and their friends will have more friends than they do 3. Data (Population & Sample)  Coleman’s The Adolescent Society data from 12 schools 4. Methods (How test H?)  enumerate all friends  count only those that are reciprocated...
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2010-02-02 (5) - Today’s Overview Review Readings...

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