PYB110 Exam Revision Notes - Week 5

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Queensland University of Technology

PYB110 Week Five Revision Notes Standardisation and Z Scores  Interpretation of raw scores usually requires some sort of standardisation.  Converting a raw score into a standard score (also called a Z score) allows us to determine the relative position of a person on a measure.  In order to obtain a Z score, we need to know the Mean and Standard Deviation of a sample of people who have also completed the measure.  Essentially, standardisation enables us to compare two scores on varying tests (for example) and be able to directly compare them. Similarly, it can tell us a person’s standing on a test as compared to others on the same test. What is a Z Score?  A Z score is how many ‘standard deviations a score is away from the mean’ AKA how many SDs the X is from the M.  It is a way of transforming scores so that the new score represents the person’s place in the overall distribution.  The size of the Z score tells us how many standard deviations they are from the mean.  The sign (+/-) tells us if it is bigger or smaller than the mean. How to Calculate a Z Score from a Raw Score  Each ordinary score is called a raw score (x).  Subtract the mean (M) from the raw score (x). This will give you the deviation score.  Divide the deviation score by the standard deviation. X M Z  SD Interpreting Z Scores 
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