test 2 Flashcards
what is a latent variable?
another word for construct. Something we are interested in that is hopefully influencing our measurement that get on the basis of our operational definition for our research.
Compare the difference between having your data in a circle versus a square.
circle- represents something that we are not directly observing/interested in
square- represents something that is an actual score that we observe.
true score vs error
true score; the real, expected influences (hope to have much more of this)
error: undefined/unexpected influences, much less of this
explain the idea of the tennis ball
Take 3 flawed measurements and take average. Even if they are all wrong but make them work together. Error is randomly distributed, even if the measurement are wrong.
reliability
the degree to which the result of a measurement, calculation, or specification can be depended on to be accurate. CONSISTENCY
How do we figure out what is error & what is true score?
We are interested in reliability of a questionnaire as a whole not the reliability of an individual question. Having multiple questions in our questionnaire we can broad our ideas of how to have true score.
The classical measurement model assumption 1
The individual items of a questionnaire each have error and true score.
- The amount of error varies randomly
- The mean error across items of 0 (sample sizes)
The classical measurement model assumption 2
the error in one item is not correlated with the error in any other item
- why must this be true based on previous assumptions
The classical measurement assumption 3
the error in the items is not correlated with the true score
Parallel test model
- extends the classical measurement model
1) the latent variable influences all items equally - all items/construct correlations are the same
2) Each item has the same amount of random error - the combined influences of all other factors are the same
Parallel test model assumptions
1) only random error
2) errors are not correlated with each other
3) errors are not correlated with true score
4) latent variable affects all items equally
5) amount of random error for each item is equal
to achieve perfect reliability you have to…
eliminate error in your measurement
- extreme measurement error prevents you from observing any associations
- the degree of error in a measure can be estimated by correlating that measure with itself
what are the forms of reliability
cronbach’s alpha- most commonly reported. easiest to use with SPPS
Split half- less common, also easy to use
test-retest- optimal, when possible, requires 2x resources
alternate form- even less common, requires 2 identical measures
omega- newest form, doesn’t require tau equivalence
Cronbach’s alpha relies on several key assumptions
single factor model
- essential tau-equivalence
- error is random
- equivalent influences of true score
- equivalenet inter-item correlations
- inter-item correlations would all be equal in a large enough sample
- items would have equal variability in a large enough sample.
Dropping bad items
If an item is not “equivalent’’ to the others then dropping it will affect alpha
- if it has a low inter-item correlation, Alpha goes up
- if it has a high inter-item correlation, alpha goes down