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Lectures 1-9
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Psychometrics
Field of psych and stats concerned with measurement theory and test applications of the quantitative assessment of latent psychological constructs
Test
Systematic applications of principles that attempt to measure important psychological attributes (e.g., personality, mental disorders, etc.)
Latent
Unobserved/hidden
Constructs
A label for a domain of covarying behaviours (e.g., introversion, cognitive ability, psychopathy)
Importance of Psychological Tests
Use people’s responses to infer latent psychological attributes
Used to inform important decisions (e.g., screening, psychopathology, education, etc.)
Obtain info efficiently
Psychological Measurement
Process of assigning numbers to objects so that specific properties of the objects are represented by properties of numbers
Requires:
precision and accuracy of tests
that psychological constructs are real
Sampling
Selecting to observe some part of a target population to estimate characteristics of interest within that population
Representativeness of Samples
Biased samples can produce over- or under- estimates of population values
→ response rate/non-respondents/dropouts/volunteers
Psychological Test Scores
Scoring: process of generating a numerical value from the responses to a psychological test, which is designed to quantitatively represent the relevant psychological construct
Objective Scoring: e.g., standarised questionnaires
Subjective Scoring (assessors’ judgement): e.g., projective tests
Concerns with Interpretation of Test Scores
Cultural Bias: test may have been developed in one culture but items have different meaning in another culture
Procedural Bias: perhaps one applicant completed online and another in person
Faking: respondent knows certain response will look better to employer
Lack of Insight: respondent may genuinely believe they are organised even when they evidently are not
Tests Can Hurt
Psychological phenomena are complex but tests reduce them to a single number
People are labeled (e.g., label of “gifted” may give child more opportunities but also more pressure)
Transformation and Standardisation
Standardisation scores is the process of transforming test scores into universal indexes called standardised scores
Transformation: a mapping of X to itself; a change
Why Standardise?
Allows comparisons
Compare results obtained from different scales that measure same attribute
Compare results obtained from different versions of same measurement
Examples of Transformations
Z-scores: change a set of scores so that set has mean of 0 and standard deviation of 1
z = x - μ / σ
X is raw score, μ is pop. mean, σ is pop. SD; z score of 1 means “1 SD above the mean”)
percentiles can be attached to z-scores
T-score: change a set of scores so that set has a mean of 50 and SD of 10
T = (10 x z) + 50
T = 60 means “1 SD above the mean”
Area transformations (quartiles, deciles, percentiles)
Normative Data (“Norms”)
Normative Data: a collection of scores derived from a (large) representative sample of a population
Purpose:
records of population attributes (policy-making, interventions, etc.)
compare an individual’s attributes to pop. levels (norm-based interpretations)
can be broken down by sub-group
Validity
General Definition: the degree to which a claim is correct or true
applies to constructs, test, test-items, individuals, samples, norms, etc.
EX: “Does a test measure what it claims to measure?”
Psychometric Definition: the appropriateness, usefulness, or meaningfulness of test (measurement) scores and their interpretations