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37 Cards in this Set
- Front
- Back
Assumptions of Traditional Assessment
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1. Behavior is a function of underlying mental constructs
2. Behavior and constructs inferred from behavior are fundamentally different 3. 5 problems of psychological measures 4. Behavior signs are independent of the situation |
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5 problems of psychological measurement
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1. No single approach universally accepted
2. Measurements based on limited sample 3. Measurement is subject to error 4. Measurement scales lack well defined units 5. Constructs are defined by 2 statistical relations relations |
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Goals of Traditional Assessment
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1. Assign construct based on variability in performance
2. Explain / predict behavior from construct value 3. Select treatments that are effective for individuals with similar construct values |
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Scaling Person's Score
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1. Compute mean as reference point
2. Compute deviation score x = X - u 3. Compute variance as index of total variability in set of scores 4. Compute z score as a standard scale z = (x-u)/ o 5. Correlation: pxy = Sum or zxzy / N 6. Test scores as composite Scores |
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Item discrimination Indices
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1. Total score as criterion
2. Item difficulty 3. Distribution of Responses 4. D Coefficient 5. Item total correlation 6. Item reliability/validity index |
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Generating initial item pool
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1. Purpose
2. Identify behaviors represent construct 3. Table of Specifications 4. Initial item pool |
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Vagonotic Measurement
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phenomena defined into existence based on variation in a set of underlying observations
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Mental constructs
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psychological property/ attribute; innate, stable, influence behavior in dimension
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Variance is the basis of
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Correlation
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Reliability
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degree to which score difference can be attributed to systematic sources of variation
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Systematic Variation
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know influences; non-random fluctuations
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True Score Theory
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the average of the observed scores obtained over an infinite # of repeated testings with same test.
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Realization of random variable
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when you have a distribution of scores you can see
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Expected value of random variable
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mean of observed scores = true score
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Reliability coefficient
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Correlation between true and observed scores; estimate correlation on parallel tests
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Standard error of measurement
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discrepancy between examinees observed test score and true score; SD one person's scores over k # of parallel tests; substitue SD for the total test to estimate SEM for 1 person; confidence intervals
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Generalizability Theory
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1. Estimates of reliability based on how test is going to be used
2. Identify sources of measurement error (of concern) and conduct reliability study to assess effects simultaneously Partition garbage can error variance into different sources Based on ratio of variance estimates from diff sources; get variance by deviating scores from grand mean |
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Facet
Single Facet design |
grouping variable in ANOVA
one way anova |
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Factor Analysis
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data reduction technique that use correlations among large amount of variables to create composite variables/factors
Looking for % of VAC ranks |
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Matrix
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table of scores with columns of variables and rows of persons
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Factor
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A linear combination of variables in matrix
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Factor loadings
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correlation with an item with a factor
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Vector
Vector space Hyperspace |
Each factor column can be considered a vector
2 or more more than 2 dimensions of axis |
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Decision 1
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Define factors
Principal components; total variance common factors; covariance only communality estimates; ult-r sq in diag on correlation matrix |
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Decision 2
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Extracting Successive Factors:
Eigenvalue = sum of squared factor loadings for each factor or column EIGENVALUE/ # of items = % VAC by a factor MINEGAN = 1 = atleast as much % VAC as an item Communality = proportion of an item's variance accounted for by the factors |
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Decision 3
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Rotation of initial factors to teminal factors
VARIMAX - orthogonal = 90 degrees QUARTIMIN - oblique = < 90 degrees |
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VARIMAX
QUARTIMIN |
90
< 90 |
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Decision 4
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Interpreting Factors
Minimum factor loading for inclusion Factor label - dimension represented |
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Deviation Score
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x = X-u
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Variance
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=
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z score
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z = x-u/o
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correlation
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xy =
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variance of composite
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=
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Cronbach's Alpha
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= k
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SEM
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SEM = SD
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Generalizability coefficient
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persons
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EIGENVALUE
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sum of squared factor loadings for each column or factor
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