Correlation Flashcards

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1
Q

Where do associations exist?

A

Between:
Categorical variables.
Numerical variables.
Categorical and Numerical.

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2
Q

What can be an association between categorical variables?

A

Age and smoking.

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3
Q

What can be an association between numerical values?

A

Height and max expired lung volume.

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4
Q

What can be an association between categorical and Numerical values?

A

DBP and Gender.

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5
Q

How is the gender and DBP characterised in the association between them?

A

DBP: Response.
Gender: Factor.

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6
Q

What can a factor be?

A

Grouping:
Gender.
Smoking.

Something controllable in an experiment:
pH.
Drug concentration.
Temperature.

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7
Q

How is the factor called alternatively?

A

An independent variable.

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8
Q

What is the response?

A

The observation we make.

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9
Q

By what can the response be/not influenced?

A

The factor.

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10
Q

How is the response known alternatively?

A

The depended variable.

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11
Q

How can association be formally tested?

A

With Chi-Square tests.

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12
Q

Which id the factor and which the response?:

Are DBP, SBP different for females and males?

Is Height influenced by Gender?

Does smoking have an effect on Exreg, Exmax?

A

F: Gender R: DBP, SBP.

F: Gender R: Height.

F: Smoking R: Exreg, Exmax.

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13
Q

How do we evaluate an association?

A
By comparing histograms.
Boxplots.
Descriptive statistics.
Formal methods.
Correlation Coefficients.
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14
Q

How can we examine if smoking has an effect on Exmax?

A

Using Histograms:
1: No smokers –> Values on right = bigger lung volume.
2: Yes smokers –> Values on left = smaller lung volume.
X axis: lung volume.
Y axis: Frequency of smoking.

= Smoking is related with lung volume.

Using Boxplots:
Compare median values.

Using Descriptive Statistics:
Report
Smoker status.
Number of smokers/not.
Mean.
Median.
Range.
Std. Deviation.

= Decrease in Exreg values of smokers.

T-test for means.
Mann-Whitney test for medians.

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15
Q

How can we find the association between 2 numerical values?

A

Making a table of data of variables.

Plot one variable against the other in a scatter plot.

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16
Q

Is there any relation between Height and Exmax?

A

Do a scatterplot.
= As height increases, Exmax increases

= Indicates a relationship.

17
Q

What is association the same with?

A

Relationship.
Correlation.
Link.

18
Q

What does a correlation describe?

A

How 2 variables vary together.

numerical vs numerical.
numerical vs categorical.
categorical vs categorical.

19
Q

Where do we use scatterplots?

A

To view numerical vs numerical correlations.

20
Q

How is the correlation of a graph with increased X and increased Y values characterised?

A

Positive.

21
Q

How is the correlation of increased X values but decreased Y values on a graph characterised?

A

Negative.

22
Q

How is the correlation of mixed variables random on a graph characterised?

A

No relationship.

23
Q

Why can 2 variables vary?

A

Due to:

Changes in X which cause changes in Y.

A third variable independently influences X and Y.

A coincidence.

24
Q

What is not a correlation?

A

A causation.

25
Q

Why is a correlation not a causation?

A

Because it supports the argument for the causation but it does not prove the causation.

26
Q

Which is an example of a correlation where X causes changes in Y?

A

Age with Height.

27
Q

Which is an example where a third variable can influence X and Y?

A

Ice cream sales and No. of shark sightings.

Third variable = temperature.

28
Q

Which is an example of a correlation being a coincidence?

A

Birth rate.

No of stock sightings.

29
Q

For what is correlation a good method?

A

To explore a dataset.