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Chapter 7 - Analysing the Data Part IV - Analysis of Variance Chapter 1 - Behavioural Science and research Chapter 2 - Research Design Chapter 3 - Collecting the Data Chapter 4 - Analysing the Data Part I - Descriptive Statistics Chapter 5 - Analysing the Data Part II - Inferential Statistics Chapter 6 - Analysing the Data Part III - Common Statistical Tests Frequency distributions Central tendancy Variability The normal distribution Transformations Standard scores - Z scores Correlation and regression Linear regression Readings and links


Chapter 4: Analysing the Data
Part II : Descriptive Statistics


Correlation, slope and z-scores

If the X and Y variables are first standardised (to Z-scores) before the regression, the regression weight for X will be equal to the correlation between X and Y. This illustrates another interpretation of the correlation coefficient: it is the number of standard deviations that two cases are predicted to differ on Y if they differ by one standard deviation on X. So, for example, if applicant A scored one standard deviation higher than applicant B on the logical reasoning test, weĠd predict that applicant A would be about 0.736 standard deviations above applicant B on the creativity test (because the correlation is about 0.736).




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