Chapter 5 - Z Scores Flashcards
What is a Raw Score?
The original, unchanged scores that are the direct result of measurement
What is a z-Score?
Z-Scores are transformed raw data that tell exactly where within a distribution the original raw data are located. In addition, z-Scores form a standardized distribution that can be directly compared to other distributions. They are units of deviations. + or - indicate position from the mean, the number tells distance between score and mean.
What is a Deviation Score?
The difference between a raw score in a distribution and the mean score of that distribution. Obtained by subtracting the mean from the raw scores, deviation score = x = (X - mean).
What is z-Score transformation?
When every X-value in a population is transformed into a a distribution of z-scores, it gains helpful properties such as: shape, the mean and standard deviation.
Standardized Distribution
When z-score transformation happens, key characteristics are standardized: 1) the distribution of z-scores will have exactly the same SHAPE as the original scores, 2) z-Score distribution will always have a MEAN OF ZERO, 3) Always has a STANDARD DEVIATION of 1.
Standardized Score
Z-Scores that are transformed into new “simple” values for the mean and standard deviation. It does not change any individual’s location within the distribution.