ch. 5_091410 - Discussion section 227 09/14/10 Chapter 5: Z...

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Discussion section 227 09/14/10 Chapter 5: Z scores and correlation 1. Z score is the distance of a score from its mean in units of standard deviation: how many SD is a score from the mean? 2. Transforming a raw score into a Z score will tells us the raw score’s exact location on the distribution. Each score is transformed to a signed number (+/-) indicating whether the score is above or below the mean. The number tells us how many standard deviations away is a score away from its mean. Z scores provide information on the DIRECTION AND MAGNITUDE of the scores’ distance from their mean. 3. Z scores also allow us to standardize a distribution. We can then compare two distributions of variables that have different scales and put them on a common scale. Example: o Is there a correlation between home work grades and final exam grades? o Home work is graded on a 10 point scale and exam grades are graded on a 100 point scale. o
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ch. 5_091410 - Discussion section 227 09/14/10 Chapter 5: Z...

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