Two Categories of Responders  Type 1 - Combinations of A and B treated as a fourth category (strategy evident in complete rejection of proposed categories.

Slides:



Advertisements
Similar presentations
M&Ms Statistics.
Advertisements

Single category classification
Cognitive Modelling – An exemplar-based context model Benjamin Moloney Student No:
Cognitive Modelling Assignment Suzanne Cotter March 2010.
statistics NONPARAMETRIC TEST
MSS 905 Methods of Missiological Research
Analysis of frequency counts with Chi square
Single Category Classification Stage One Additive Weighted Prototype Model.
Cognitive Modelling Assignment 1 MODEL 6: MSc Cognitive Science Elaine Cohalan Feb 9 th 2005.
Cognitive Modelling Experiment Clodagh Collins. Clodagh Collins.
Categorization vs. logic in category conjunction: towards a model of overextension Dr. Fintan Costello, Dept of Computer Science, University College Dublin.
Reduced Support Vector Machine
Statistics: An Introduction Alan Monroe: Chapter 6.
MIM 558 Comparative Operations Management Dr. Alan Raedels, C.P.M.
B a c kn e x t h o m e Classification of Variables Discrete Numerical Variable A variable that produces a response that comes from a counting process.
Central Tendency & Variability Dec. 7. Central Tendency Summarizing the characteristics of data Provide common reference point for comparing two groups.
Deviation = The sum of the variables on each side of the mean will add up to 0 X
Six Sigma Training Dr. Robert O. Neidigh Dr. Robert Setaputra.
(a brief over view) Inferential Statistics.
1 of 27 PSYC 4310/6310 Advanced Experimental Methods and Statistics © 2013, Michael Kalsher Michael J. Kalsher Department of Cognitive Science Adv. Experimental.
CHAPTER 4 Measures of Dispersion. In This Presentation  Measures of dispersion.  You will learn Basic Concepts How to compute and interpret the Range.
Categorical Data Prof. Andy Field.
Measures of Central Location (Averages) and Percentiles BUSA 2100, Section 3.1.
Smith/Davis (c) 2005 Prentice Hall Chapter Four Basic Statistical Concepts, Frequency Tables, Graphs, Frequency Distributions, and Measures of Central.
© 2006 McGraw-Hill Higher Education. All rights reserved. Numbers Numbers mean different things in different situations. Consider three answers that appear.
Addition, Subtraction, Multiplication, and Division of Integers
When we add or subtract integers we can use a number line to help us see what is happening with the numbers.
Chapter 2 Describing Data.
© 2006 McGraw-Hill Higher Education. All rights reserved. Numbers Numbers mean different things in different situations. Consider three answers that appear.
Research Methodology Lecture No :24. Recap Lecture In the last lecture we discussed about: Frequencies Bar charts and pie charts Histogram Stem and leaf.
Operations with Integers
Processing of large document collections Part 3 (Evaluation of text classifiers, term selection) Helena Ahonen-Myka Spring 2006.
Chapter 4 – 1 Chapter 4: Measures of Central Tendency What is a measure of central tendency? Measures of Central Tendency –Mode –Median –Mean Shape of.
According to researchers, the average American guy is 31 years old, 5 feet 10 inches, 172 pounds, works 6.1 hours daily, and sleeps 7.7 hours. These numbers.
Review of the Basic Logic of NHST Significance tests are used to accept or reject the null hypothesis. This is done by studying the sampling distribution.
Median Median is the middle number in a data set when the data are arranged in numerical order. If you have an even number of data items, add the two middle.
Exponents and Order of Operations. Exponents The exponent (little number) indicates how many times the base (big number) appears as a factor.
Boundary Detection in Tokenizing Network Application Payload for Anomaly Detection Rachna Vargiya and Philip Chan Department of Computer Sciences Florida.
1.1 Variables and Expressions Definition of terms: 1 ). A variable is a letter or symbol used to represent a value that can change. 2). A constant is a.
SOCW 671: #5 Measurement Levels, Reliability, Validity, & Classic Measurement Theory.
Adding a Sequence of numbers (Pairing Method)
Unit 2 (F): Statistics in Psychological Research: Measures of Central Tendency Mr. Debes A.P. Psychology.
Pearson Correlation Coefficient 77B Recommender Systems.
Unit 2: Integers Unit Review. Multiplying Integers The product of two integers with the same sign is a positive. Eg: (+6) x (+4) = +24; (-18) x (-3) =
1.2 Words and Expression.
Slide Slide 1 Copyright © 2007 Pearson Education, Inc Publishing as Pearson Addison-Wesley. Nonparametric Statistics.
Slide Slide 1 Copyright © 2007 Pearson Education, Inc Publishing as Pearson Addison-Wesley. Nonparametric Statistics.
CHAPTER 4 Negative Numbers. ADDITION AND SUBTRACTION USING NEGATIVE NUMBERS A number line is very useful when you have to do additions or subtractions.
703 KAR 5:225 Next-Generation Learners Accountability System Office of Assessment and Accountability Division of Support & Research KDE:OAA:DSR:cw,ko.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Warm Up Evaluate • 4 • 4 • b2 for b = 4 16
Data Description Chapter 3. The Focus of Chapter 3  Chapter 2 showed you how to organize and present data.  Chapter 3 will show you how to summarize.
How the UAI is calculated? This powerpoint presentation shows the relationship between course scores, AST results and UAI.
Lesson 5.1 Evaluation of the measurement instrument: reliability I.
Measures of Central Tendency, Variance and Percentage.
Statistics Review  Mode: the number that occurs most frequently in the data set (could have more than 1)  Median : the value when the data set is listed.
Bivariate Association. Introduction This chapter is about measures of association This chapter is about measures of association These are designed to.
Independent-Samples t-test
Independent-Samples t-test
Data Analysis for sets of numbers
Theoretical Normal Curve
Vocabulary for Mar 20-Mar
Theme 4 Describing Variables Numerically
Mean, Median, and Mode Course
Classification of Variables
Statistics Problem Set III
Lesson 12: Presentation and Analysis of Data
15.1 The Role of Statistics in the Research Process
Measures of Central Tendency
Learn to find the range, mean, median, and mode of a data set.
Presentation transcript:

Two Categories of Responders  Type 1 - Combinations of A and B treated as a fourth category (strategy evident in complete rejection of proposed categories A and C, and B and C)  Type 2 -Treat the combination of A and B as an example of how to combine categories My model will focus on the more numerous type 2 responders  Type 1 - Combinations of A and B treated as a fourth category (strategy evident in complete rejection of proposed categories A and C, and B and C)  Type 2 -Treat the combination of A and B as an example of how to combine categories My model will focus on the more numerous type 2 responders

Learning the Training Items  Learn the most reliable category feature first  Then to the next most reliable, and so.  Ability and motivation determine whether they weight all features  If the less reliable features are not weighted according to their reliability as a category indicator, they are attributed a low nominal value.  Learn the most reliable category feature first  Then to the next most reliable, and so.  Ability and motivation determine whether they weight all features  If the less reliable features are not weighted according to their reliability as a category indicator, they are attributed a low nominal value.

Attributing Weights to Features  A feature is weighted based on how representative it is of the category for that dimension, e.g. For Dim 1 Cat A, A = 3/6  Also based on how frequently it occurs within that category dimension, e.g. A = 3/4  These values are averaged, e.g. A = 3/6 + 3/4 = (To give a value between 0 and 1 for each symptom)  A feature is weighted based on how representative it is of the category for that dimension, e.g. For Dim 1 Cat A, A = 3/6  Also based on how frequently it occurs within that category dimension, e.g. A = 3/4  These values are averaged, e.g. A = 3/6 + 3/4 = (To give a value between 0 and 1 for each symptom) AXCcategory A AYY AAX YAY ZBBcategory B XBB

Negative Values  Negative values for symptoms that do not occur within a category are attributed based on how unrepresentative of the category they are  The value is determined by the symptoms proportional occurrence outside of the category  E.g. For category B symptom A in dim 1,  - 3/4 =  Negative values for symptoms that do not occur within a category are attributed based on how unrepresentative of the category they are  The value is determined by the symptoms proportional occurrence outside of the category  E.g. For category B symptom A in dim 1,  - 3/4 = AXCcategory A AYY AAX YAY ZBBcategory B XBB

Number Array for Positive Membership

Evaluating the Training Items  Based on the symptom values we can calculate how well these values categorize the training items  We can later use the averages and standard deviations of these values to help determine the membership scores for test items  Based on the symptom values we can calculate how well these values categorize the training items  We can later use the averages and standard deviations of these values to help determine the membership scores for test items

Cat ACat BCat C Mean for A items Mean for B items Mean for C items

Test Items for Categories A, B and C  Test items are put through the positive and negative arrays for each category and the values summed  I want them positive, so add 1  This value is then divided by the training item mean of that category to see how high it is relative to the training items e.g. test item 2 in Cat A = -0.75, plus 1 = 0.25, 0.25/1.62 = 0.15 From this value i minus the higher of the corresponding Cat values, (Cat C) =  Test items are put through the positive and negative arrays for each category and the values summed  I want them positive, so add 1  This value is then divided by the training item mean of that category to see how high it is relative to the training items e.g. test item 2 in Cat A = -0.75, plus 1 = 0.25, 0.25/1.62 = 0.15 From this value i minus the higher of the corresponding Cat values, (Cat C) = -1.25

Model vs Participants on individual Categories

Combining Categories  The test item is computed for each Category separately.  The strongest values from each are combined  The stronger single category total is subtracted from this to isolate the benefit of the combination.  This result is added to the strongest combination from both categories (already obtained)  The result is divided by the stronger of the two alternative 2 category combinations  Finally, minus 1 if a negative value was used in the combination  The test item is computed for each Category separately.  The strongest values from each are combined  The stronger single category total is subtracted from this to isolate the benefit of the combination.  This result is added to the strongest combination from both categories (already obtained)  The result is divided by the stronger of the two alternative 2 category combinations  Finally, minus 1 if a negative value was used in the combination

Model vs Participants on combined Categories