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Published byGertrude McKinney Modified over 9 years ago
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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
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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.
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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 = 0.625 (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 = 0.625 (To give a value between 0 and 1 for each symptom) AXCcategory A AYY AAX YAY ZBBcategory B XBB
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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 = -0.75 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 = -0.75 AXCcategory A AYY AAX YAY ZBBcategory B XBB
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Number Array for Positive Membership
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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
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Cat ACat BCat C Mean for A items1.62-0.510.41 Mean for B items-0.531.960.16 Mean for C items0.04-0.511.78
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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, 0.15 - 1.4 (Cat C) = -1.25 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, 0.15 - 1.4 (Cat C) = -1.25
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Model vs Participants on individual Categories
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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
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Model vs Participants on combined Categories
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