Psychological measurement

22 important questions on Psychological measurement

How can psychological measurement be defined?




as a process through which numbers are assigned to represent the quantities of psychological attributes, or the extend to which an attribute is present.

When does the measurement process succeed?




if the numbers assigned to an attribute reflect the actual amounts of that attribute.

What are the properties of numbers?

  • Identity
  • order
  • quantity
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Describe the numerical property of identity.

A number can reflect a group or category. The number itself doesn't have quantitative meaning. The meaning of the number indicates whether two participants are the same or different on a trait. Example: 1 = man, 0 = woman

Which rules must be followed when sorting people into categories?




  • the people within a category must satisfy the property of identity of the category




  • the categories must be mutually exclusive., person can't be in two categories at the same time




  • the categories must be exhaustive, the categories must cover 100% of the variation of the trait.

Describe the numerical property of order.




  • they convey information about the relative amount of an attribute that people possess.
  • the numbers serve again as a label, and tells us which person has the most of an attribute, not how much.
  • If one person is assigned 1, then this person has less of the attribute than the person assigned 2, but how much is not known.

Describe the property of quantity.

  • when numerals
    have the property of quantity, they provide information about the magnitude of differences between people.
  • so here when someone has 15 this means that he has twice as less of the trait than someone with 30.

According to campbell, what does it take for something to be measurement?

Measurement is the result of the process of assigning numbers such that:
  • each object is represented by a single number (this rock weights .....)
  • the sum of two assigned numbers represents the empirical combination of the two objects. (two rocks together weight .....)
  • measurement requires concatenation

What is a concatenation?

Een samenvoeging, so the concatenation of two and three is five.

What is measurement according to the representation theory of measurement?

The representation of empirical properties by assigning numbers to these properties where the relations of numbers represent the relations between the objects.

What is a concatenation operation?

Assessing wether two things are identical without basing the judgement on numerical assignment.
a balance scale is a tool for a concatenation operation

What is the positive manifold?

The fact that all cognitive tests are correlated in scores, if you do good in one task you will do good in the other

Why are psychological measurements still measurements?

  • Measurement is the assigning of numerical values according to rules
  • which rules doesn't matter
  • determine order, determine equality, are all rules that don't follow quantitative scales but are scales of measurement.

Describe an interval level of measurement

numbers represent order, but distances between assigned numbers also have a definite meaning

Describe an ordinal level of measurement

Numbers represent order. Objects that are assigned higher numbers have more of the property represented. For instance: rankings.

Describe a nominal level of measurement.

Numbers represent equivalence, objects with the same property have the same number e.g. 1: male, 0; female

Describe a ratio scale of measurement.

Kshid

What determines the scale level of measurement?

What transformations you can do with the numbers without representing the world less correctly
e.g. If you assign males 54 and females 34 it would work just as well as 0 and 1

How do you know that a scale is an ordinal scale?

When all transformations that leave the order of the numbers intact are possible e.g. Square all numbers.

How do you know that a scale is an interval scale?

All transformations that preserve order and distance between the numbers are possible y = ax+b

What is steven's statement about statistics?

  • what kinds of tests you can do with data depends on what transformations you can put the data through
  • Parametric tests such as t-test and ANOVA are sensitive to tranformations that change distances between scale points
  • As a result, nonlinear transformations (squares) will change one’s conclusions

What is the difference between an interval scale measurement and a ratio level measurement?

  • Ratio has additivity and multiplitivity, so there 80 meters is twice as much as 40 meters, but 80 degrees celsius isn't twice as much as 40 degrees celsius
  • zero; with interval scales, 0 doesn't mean no heat. But with ratio scales 0 does mean no distance.

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