Week 3 Flashcards
How many components does a test score have?
A test score has two components - the obtained score and the error
Can we apply a CI to obtained scores?
Yes.
Xi = +/- 1.96 x SD
ti = +/- 1.96 x SEM
We do not know ti and SEM and need to estimate them
How do we estimate the true score?
ti = M + rxx (Xi - M)
When reliability (rxx) = 1 (perfect score) then the obtained score will be the true score as both M’s cancel each other out.
If the reliability = 0, the test is considered unreliable.
ti = estimated true score
Xi = individual raw score
M = mean of scores
rxx = reliability of the test
How do we estimate the standard error of measurement?
SEM = SD √1-rxx
If rxx = 0, that is the test is unreliable, the SEM is equal to the SD of the sample
If rxx = 1, the test is perfectly reliable and the SEM = 0.
Define validity
The extent to which evidence supports the meaning and use of a psychological test.
Describe the key difference between reliability and validity.
Reliability = consistency
Validity = accuracy
Reliability is necessary but not sufficient for validity i.e. if a test does not provide reliable (consistent) scores, the test cannot be valid (accurate).
Face validity is
The test appears to test what it sets out to test
Criterion-related validity
The test score predict performance
Concurrent validity (right now, existing state, useful to diagnose). Used to determine learning difficulty.
Predictive validity (future, how will this person learn in the future). Used most commonly for selection/classification
Example: VCE scores to determine entrance to Uni
Content validity
The test covers a representative sample of the domain being measured
More relevant for achievement tests (i.e. exams)
Built into the test from the outset
Construct validity
The test scores reflect individual differences in a psychological construct
for example anxiety, intelligence, extraversion are not directly observable but age differentiation, relationship to behaviour, experimental manipulation and criterion groups are
convergent validity
divergent validity
What is a good level of validity?
About .2 to .5
Typically lower than reliability coefficients (.8)
What is the role of validity in decision theory?
Even if rxy is low, a test may appreciably improve predictive efficiency.
We use a test if the benefit gained in terms of predictions outweighs losses in terms of costs incurred as a result of testing. They can increase base rate successes.
Detail the factors that influence validity
Low sample size (may not reach statistical significance)
Restriction of range in either the test or criterion scores > creates a selectivity problem
non-linear relationships between test and criterion scores (assumption of Pearson’s correlation - when non linear a non-parametric test is required.
Problems with the criterion.
Solutions for the selectivity problem are
test all applicants (not practical)
test a random sample of applicants
use statistical correction
What are some of the problems with criterion?
different criteria may not relate well to another
criterion contamination
criterion requirements change