Towards Interval Techniques for Processing Educational Data

There are many papers that experimentally compare effectiveness of different teaching techniques. Most of these papers use traditional statistical approach to process the experimental results. The traditional statistical approach is well suited to numerical data but often, what we are processing is intervals (e.g., a means anything from 90 to 100). We show that the use of interval techniques leads to more adequate processing of educational data.

[1]  Maliha S. Nash,et al.  Handbook of Parametric and Nonparametric Statistical Procedures , 2001, Technometrics.

[2]  Harrison M. Wadsworth Handbook of Statistical Methods for Engineers and Scientists , 1990 .

[3]  R. B. Kearfott Rigorous Global Search: Continuous Problems , 1996 .

[4]  George Bojadziev,et al.  Fuzzy Sets, Fuzzy Logic, Applications , 1996, Advances in Fuzzy Systems - Applications and Theory.

[5]  Luc Jaulin,et al.  Applied Interval Analysis , 2001, Springer London.

[6]  R. B. Kearfott,et al.  Applications of interval computations , 1996 .

[7]  Ramon E. Moore,et al.  Interval analysis and fuzzy set theory , 2003, Fuzzy Sets Syst..

[8]  Dimitar P. Filev,et al.  Fuzzy SETS AND FUZZY LOGIC , 1996 .

[9]  Vladik Kreinovich,et al.  Nested Intervals and Sets: Concepts, Relations to Fuzzy Sets, and Applications , 1996 .

[10]  Didier Dubois,et al.  The Empirical Variance of a Set of Fuzzy Intervals , 2005, The 14th IEEE International Conference on Fuzzy Systems, 2005. FUZZ '05..

[11]  Siegfried Gottwald,et al.  Fuzzy Sets and Fuzzy Logic , 1993 .

[12]  Hung T. Nguyen,et al.  A First Course in Fuzzy Logic , 1996 .

[13]  Vladik Kreinovich,et al.  Interval versions of statistical techniques with applications to environmental analysis, bioinformatics, and privacy in statistical databases , 2007 .

[14]  Vladik Kreinovich,et al.  Exact Bounds on Finite Populations of Interval Data , 2005, Reliab. Comput..

[15]  M. Patton Qualitative research and evaluation methods , 1980 .

[16]  Vladik Kreinovich,et al.  How to Interpret Neural Networks in Terms of Fuzzy Logic , 2001 .

[17]  S. Engel Thought and Language , 1964 .

[18]  Vladik Kreinovich,et al.  Towards Combining Probabilistic and Interval Uncertainty in Engineering Calculations , 2004 .

[19]  Ramon E. Moore Methods and applications of interval analysis , 1979, SIAM studies in applied mathematics.