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1.1 Research Methods and techniques
Correlation
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The relationship between two variables
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Correlation The relationship between two variables For example:
Hand span + intelligence Stress at work + number of sick days School absences + final grades Correlation = association Correlation does not = cause-and-effect relationship
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When would you use a correlation?
When you want to look at naturally occurring variables Complete the following on your A3
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What do we think happens?
As the temperature increases So too does ice-cream sales This is called a POSITIVE correlation As one variable increases, so too does another A scatter graph is used to show how one variable is affected by another variable
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What about… As number of days absent from school increases…
What will happen to students grades? Students grades decrease This would be a NEGATIVE correlation As one variable increases, another decreases What about…
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What about… Likelihood of owning a cat and being struck by lightening?
There is no relationship between these variables This is called NO correlation
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Complete handout 1
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Is there a correlation between stress & absence?
Participant Stress (rating110) absences (days) 1 2 4 6 3 10 29 7 5 8 15 Plot a scattergram on your white board to see the correlation.
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Correlation Coefficient
Measures the strength of a correlation = Correlation co efficient (from +1 to -1). perfect / strong / moderate / weak / no / weak / moderate / strong / perfect relationship Nearer to +1/-1 = perfect
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Positive correlation (+1) / (increases)
Negative correlation (-1) \ (decreases)
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Interpret the following correlation coefficients
0.87 0.65 1.6 –0.23 0.009 –0.76 –23.9 1.00 / \
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What do you think these show? Strong/weak Positive/negative
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Evaluating correlation
Measuring the strength of relationships – precise quantitative measure Allows experimenters analyse statistically where it might be unethical Identifies relationships opening up new lines of experimental research Further research may indicate probability of relationship being causal Impossible to establish cause and effect Cannot take outside variables into account (the 3rd factor might be causing it).
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One last thing… Can have linear correlations OR Curvilinear correlations = = straight lines curved, but still a predictable relationship Eg heat levels and aggression levels
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Homework for the October break
Complete any gaps in your folder Complete the self-report booklet Update your key terms booklet RM Workbook page 21 Complete correlation workpack
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