CCDFs in MOOCs. Tao C. Lee. June 2, LCAV, EPFL TAM Talk, Lausanne, Switzerland
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1 CCDFs in MOOCs Tao C. Lee LCAV, EPFL TAM Talk, Lausanne, Switzerland June 2, 2014
2 Digital Signal Processing MOOC at Coursera T. C. Lee (EPFL) A & D of LOCs June 2, / 28
3 Digital Signal Processing MOOC at Coursera More than 90,000 learners since spring T. C. Lee (EPFL) A & D of LOCs June 2, / 28
4 Digital Signal Processing MOOC at Coursera More than 90,000 learners since spring How to study learner dynamics? T. C. Lee (EPFL) A & D of LOCs June 2, / 28
5 Outline Complementary Cumulative Distribution Functions (CCDFs) T. C. Lee (EPFL) A & D of LOCs June 2, / 28
6 Outline Complementary Cumulative Distribution Functions (CCDFs) Final grades CCDFs in MOOCs T. C. Lee (EPFL) A & D of LOCs June 2, / 28
7 Outline Complementary Cumulative Distribution Functions (CCDFs) Final grades CCDFs in MOOCs Learner subpopulation analysis T. C. Lee (EPFL) A & D of LOCs June 2, / 28
8 Outline Complementary Cumulative Distribution Functions (CCDFs) Final grades CCDFs in MOOCs Learner subpopulation analysis CCDFs by learner subpopulations T. C. Lee (EPFL) A & D of LOCs June 2, / 28
9 Outline Complementary Cumulative Distribution Functions (CCDFs) Final grades CCDFs in MOOCs Learner subpopulation analysis CCDFs by learner subpopulations Contributions & take-home messages T. C. Lee (EPFL) A & D of LOCs June 2, / 28
10 Background Massive Open Online Courses (MOOCs) History: 2012, the Year of the MOOC T. C. Lee (EPFL) A & D of LOCs June 2, / 28
11 Background Massive Open Online Courses (MOOCs) History: 2012, the Year of the MOOC Players: Coursera, edx, Udacity,... T. C. Lee (EPFL) A & D of LOCs June 2, / 28
12 Background Massive Open Online Courses (MOOCs) History: 2012, the Year of the MOOC Players: Coursera, edx, Udacity,... Visibility: > 6 million learners on Coursera, early 2014 T. C. Lee (EPFL) A & D of LOCs June 2, / 28
13 Background Massive Open Online Courses (MOOCs) History: 2012, the Year of the MOOC Players: Coursera, edx, Udacity,... Visibility: > 6 million learners on Coursera, early 2014 MOOC datasets Data source Database dumps Description Quiz submits & grades, forum posts & comments T. C. Lee (EPFL) A & D of LOCs June 2, / 28
14 Background Massive Open Online Courses (MOOCs) History: 2012, the Year of the MOOC Players: Coursera, edx, Udacity,... Visibility: > 6 million learners on Coursera, early 2014 MOOC datasets Data source Database dumps Clickstreams Description Quiz submits & grades, forum posts & comments Time-stamped video, quiz, wiki, forum clicks T. C. Lee (EPFL) A & D of LOCs June 2, / 28
15 Background Massive Open Online Courses (MOOCs) History: 2012, the Year of the MOOC Players: Coursera, edx, Udacity,... Visibility: > 6 million learners on Coursera, early 2014 MOOC datasets Data source Database dumps Clickstreams Other data Description Quiz submits & grades, forum posts & comments Time-stamped video, quiz, wiki, forum clicks Survey, quiz responses and personal information T. C. Lee (EPFL) A & D of LOCs June 2, / 28
16 Survey data Survey data Description (participated / total learners) Spring / (19%) Fall / (18%) T. C. Lee (EPFL) A & D of LOCs June 2, / 28
17 Survey data Survey data Description (participated / total learners) Spring / (19%) Fall / (18%) Around 20% of learners responded T. C. Lee (EPFL) A & D of LOCs June 2, / 28
18 Survey data Survey data Description (participated / total learners) Spring / (19%) Fall / (18%) Around 20% of learners responded Age T. C. Lee (EPFL) A & D of LOCs June 2, / 28
19 Survey data Survey data Description (participated / total learners) Spring / (19%) Fall / (18%) Around 20% of learners responded Age Motivation T. C. Lee (EPFL) A & D of LOCs June 2, / 28
20 Survey data Survey data Description (participated / total learners) Spring / (19%) Fall / (18%) Around 20% of learners responded Age Motivation Occupation T. C. Lee (EPFL) A & D of LOCs June 2, / 28
21 Survey data Survey data Description (participated / total learners) Spring / (19%) Fall / (18%) Around 20% of learners responded Age Motivation Occupation Gender T. C. Lee (EPFL) A & D of LOCs June 2, / 28
22 Survey data Survey data Description (participated / total learners) Spring / (19%) Fall / (18%) Around 20% of learners responded Age Motivation Occupation Gender Region T. C. Lee (EPFL) A & D of LOCs June 2, / 28
23 Survey data Survey data Description (participated / total learners) Spring / (19%) Fall / (18%) Around 20% of learners responded Age Motivation Occupation Gender Region Education background T. C. Lee (EPFL) A & D of LOCs June 2, / 28
24 Survey data Survey data Description (participated / total learners) Spring / (19%) Fall / (18%) Around 20% of learners responded Age Motivation Occupation Gender Region Education background And more... T. C. Lee (EPFL) A & D of LOCs June 2, / 28
25 Definition of CCDFs Definition: x 1 CCDF (x) = 1 p(j) = p(j) j=1 j=x T. C. Lee (EPFL) A & D of LOCs June 2, / 28
26 Definition of CCDFs Definition: The derivative: x 1 CCDF (x) = 1 p(j) = p(j) j=1 j=x T. C. Lee (EPFL) A & D of LOCs June 2, / 28
27 Definition of CCDFs Definition: The derivative: x 1 CCDF (x) = 1 p(j) = p(j) j=1 j=x d(ccdf (x)) = p(x) dx T. C. Lee (EPFL) A & D of LOCs June 2, / 28
28 CCDFs in Human Dynamics Evidence of a bimodal distribution in human communications [Wu 10] T. C. Lee (EPFL) A & D of LOCs June 2, / 28
29 CCDFs in Human Dynamics Evidence of a bimodal distribution in human communications [Wu 10] Interval distribution of Short Messages (SMs) T. C. Lee (EPFL) A & D of LOCs June 2, / 28
30 CCDFs in Human Dynamics Evidence of a bimodal distribution in human communications [Wu 10] Interval distribution of Short Messages (SMs) Light-tail: short response time T. C. Lee (EPFL) A & D of LOCs June 2, / 28
31 CCDFs in Human Dynamics Evidence of a bimodal distribution in human communications [Wu 10] Interval distribution of Short Messages (SMs) Light-tail: short response time Heavy-tail: long response time T. C. Lee (EPFL) A & D of LOCs June 2, / 28
32 CCDFs in Human Dynamics Evidence of a bimodal distribution in human communications [Wu 10] Interval distribution of Short Messages (SMs) Light-tail: short response time Heavy-tail: long response time Bimodal distribution shown in log-log scale T. C. Lee (EPFL) A & D of LOCs June 2, / 28
33 Final grades distribution Normalize final grades distribution (Spring 13) is also bimodal! T. C. Lee (EPFL) A & D of LOCs June 2, / 28
34 Final grades distribution Normalize final grades distribution (Spring 13) is also bimodal! Many students on two extremes T. C. Lee (EPFL) A & D of LOCs June 2, / 28
35 Final grades distribution Normalize final grades distribution (Spring 13) is also bimodal! Many students on two extremes Histogram is noisy & difficult to model T. C. Lee (EPFL) A & D of LOCs June 2, / 28
36 Final grades distribution Normalize final grades distribution (Spring 13) is also bimodal! Many students on two extremes Histogram is noisy & difficult to model Let s use CCDFs! T. C. Lee (EPFL) A & D of LOCs June 2, / 28
37 Final grades CCDFs 20 = 4 quizzes full marks T. C. Lee (EPFL) A & D of LOCs June 2, / 28
38 Final grades CCDFs 20 = 4 quizzes full marks > 40 = pass T. C. Lee (EPFL) A & D of LOCs June 2, / 28
39 Final grades CCDFs 20 = 4 quizzes full marks > 40 = pass > 90 = distinction T. C. Lee (EPFL) A & D of LOCs June 2, / 28
40 Final grades CCDFs 20 = 4 quizzes full marks > 40 = pass > 90 = distinction What makes the CCDFs different? T. C. Lee (EPFL) A & D of LOCs June 2, / 28
41 Learner subpopulation analysis Spring/Fall 13 semesters Age distribution T. C. Lee (EPFL) A & D of LOCs June 2, / 28
42 Learner subpopulation analysis Spring/Fall 13 semesters Age distribution Motivation distribution T. C. Lee (EPFL) A & D of LOCs June 2, / 28
43 Learner subpopulation analysis Spring/Fall 13 semesters Age distribution Motivation distribution Occupation distribution T. C. Lee (EPFL) A & D of LOCs June 2, / 28
44 Learner subpopulation analysis Spring/Fall 13 semesters Age distribution Motivation distribution Occupation distribution Gender distribution T. C. Lee (EPFL) A & D of LOCs June 2, / 28
45 Learner subpopulation analysis Spring/Fall 13 semesters Age distribution Motivation distribution Occupation distribution Gender distribution Region distribution T. C. Lee (EPFL) A & D of LOCs June 2, / 28
46 Learner subpopulation analysis Spring/Fall 13 semesters Age distribution Motivation distribution Occupation distribution Gender distribution Region distribution Education background distribution T. C. Lee (EPFL) A & D of LOCs June 2, / 28
47 Learners by age More young learners in the fall semester... T. C. Lee (EPFL) A & D of LOCs June 2, / 28
48 Learners by motivation More academia learners in the fall semester... T. C. Lee (EPFL) A & D of LOCs June 2, / 28
49 Learners by occupation More student learners in the fall semester... T. C. Lee (EPFL) A & D of LOCs June 2, / 28
50 Learners by gender More female learners in the fall semester... T. C. Lee (EPFL) A & D of LOCs June 2, / 28
51 Learners by region More Asian learners in the fall semester... T. C. Lee (EPFL) A & D of LOCs June 2, / 28
52 Learners by education background More college learners in the fall semester... T. C. Lee (EPFL) A & D of LOCs June 2, / 28
53 Remarks Reaching out (student learners) > 0 T. C. Lee (EPFL) A & D of LOCs June 2, / 28
54 Remarks Reaching out (student learners) > 0 (European learners) < 0 T. C. Lee (EPFL) A & D of LOCs June 2, / 28
55 Remarks Reaching out (student learners) > 0 (European learners) < 0 (female learners) > 0 T. C. Lee (EPFL) A & D of LOCs June 2, / 28
56 Final grades CCDFs by learner subpopulations Age below vs. above 30 T. C. Lee (EPFL) A & D of LOCs June 2, / 28
57 Final grades CCDFs by learner subpopulations Age below vs. above 30 Professional vs. academia T. C. Lee (EPFL) A & D of LOCs June 2, / 28
58 Final grades CCDFs by learner subpopulations Age below vs. above 30 Professional vs. academia Students vs. non-students T. C. Lee (EPFL) A & D of LOCs June 2, / 28
59 Final grades CCDFs by learner subpopulations Age below vs. above 30 Professional vs. academia Students vs. non-students Female vs. male T. C. Lee (EPFL) A & D of LOCs June 2, / 28
60 Final grades CCDFs by learner subpopulations Age below vs. above 30 Professional vs. academia Students vs. non-students Female vs. male European vs. others T. C. Lee (EPFL) A & D of LOCs June 2, / 28
61 CCDFs by age Older learners achieved better performance... T. C. Lee (EPFL) A & D of LOCs June 2, / 28
62 CCDFs by motivation Professional learners achieved better performance... T. C. Lee (EPFL) A & D of LOCs June 2, / 28
63 CCDFs by occupation Non-student learners achieved better performance... T. C. Lee (EPFL) A & D of LOCs June 2, / 28
64 CCDFs by gender No gender gap... T. C. Lee (EPFL) A & D of LOCs June 2, / 28
65 CCDFs by region European learners achieved better performance... T. C. Lee (EPFL) A & D of LOCs June 2, / 28
66 Remarks Some results CCDF non-student learners > CCDF student learners T. C. Lee (EPFL) A & D of LOCs June 2, / 28
67 Remarks Some results CCDF non-student learners > CCDF student learners CCDF European learners > CCDF Other region learners T. C. Lee (EPFL) A & D of LOCs June 2, / 28
68 Remarks Some results CCDF non-student learners > CCDF student learners CCDF European learners > CCDF Other region learners CCDF female learners CCDF male learners T. C. Lee (EPFL) A & D of LOCs June 2, / 28
69 Explaining final grades CCDFs (student learners) > 0 CCDF < 0 T. C. Lee (EPFL) A & D of LOCs June 2, / 28
70 Explaining final grades CCDFs (student learners) > 0 CCDF < 0 (European learners) < 0 CCDF < 0 T. C. Lee (EPFL) A & D of LOCs June 2, / 28
71 Key contributions CCDFs in MOOCs A tool to visualize learner performance T. C. Lee (EPFL) A & D of LOCs June 2, / 28
72 Key contributions CCDFs in MOOCs A tool to visualize learner performance A step towards learner performance modeling T. C. Lee (EPFL) A & D of LOCs June 2, / 28
73 Key contributions CCDFs in MOOCs A tool to visualize learner performance A step towards learner performance modeling By learner subpopulations T. C. Lee (EPFL) A & D of LOCs June 2, / 28
74 Take-home messages Grades distribution Bimodal T. C. Lee (EPFL) A & D of LOCs June 2, / 28
75 Take-home messages Grades distribution Bimodal Non-student, aged, professional learners perform better T. C. Lee (EPFL) A & D of LOCs June 2, / 28
76 Take-home messages Grades distribution Bimodal Non-student, aged, professional learners perform better EU learners perform better T. C. Lee (EPFL) A & D of LOCs June 2, / 28
77 Take-home messages Grades distribution Bimodal Non-student, aged, professional learners perform better EU learners perform better Reaching out Should attract more student learners T. C. Lee (EPFL) A & D of LOCs June 2, / 28
78 Take-home messages Grades distribution Bimodal Non-student, aged, professional learners perform better EU learners perform better Reaching out Should attract more student learners Should attract more Non-EU learners T. C. Lee (EPFL) A & D of LOCs June 2, / 28
79 Thank you, questions please.
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