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Psychometry Summary

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All weeks of literature summarized, except week 3.

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  • November 20, 2022
  • 18
  • 2021/2022
  • Summary
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, Week 1 | measurement, scaling and norms

Literature

Furr chapters 1 – 3

 Definition of psychometrics: The science concerned with evaluating the attributes of
psychological tests.
 Difference experimental and differential psychology:
o Experimental psychology focuses on ‘the average person’, individual differences =
noise/error.
o Differential psychology mostly concerns itself with measuring the differences
between people, comparing measurements.
 Measurement: the assignment of numerals to objects or events according to rules
 Scaling: concerns the way numerical values are assigned to psychological attributes.
 Sum of squares: ∑ ¿¿
Variance: s =∑ ¿ ¿ ¿ Square root of variance gives standard deviation.
2

 Covariance: represents the degree of association between the variability in two distributions
of scores.

o c xy =
∑ ( x−x ) ( y− y )
N −1
 Product-moment correlation: represents the association between two variables much more
clearly than covariance
c xy
o r xy =
sx s y
 Measurement scales
o Nominal: identity (categories, mutually exclusive and exhaustive)
o Ordinal: plus an order
o Interval: plus quantity (measuring unit)
o Ratio: plus absolute zero
 Z-score: number of SD from the mean
o Mean = 0
SD = 1
X−M x
o Zx=
SD x
o Add to paper: formula for SD
 T-score: easier to understand, friendlier than Z-scores. Only positive outcomes.
o Mean = 50
SD = 10
o T x =10 × Z x +50
 Percentile ranks Px : percentage of scores equal or lower than specific test score.
 Interindividual differences: comparing different people.
 Intraindividual differences: comparing within people.

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