Q9 Correlation Flashcards

1
Q

Correlation

A

A relationship between two measures that change together

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2
Q

“Relationship”

A
  • May or not be causal
  • Correlation does not imply causation
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2
Q

“Measures”

A

In data, measures are known as variables

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2
Q

Ways data can “change together”

A
  • Increase together
  • Decrease together
  • Go in opposite directions
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3
Q

Correlations are crucial to . . .

A

Science

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4
Q

Plausible alternative explanation

A

A rival rationale that might better explain an observed relationship, or a third variable that could be impacting the correlation

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5
Q

Variable

A

A unit of measurement that has the potential to vary or change

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6
Q

Four types of variables

A
  • Nominal
  • Ordinal
  • Interval
  • Ratio
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7
Q

Nominal

A
  • Means name, like “nombre” in Spanish
  • Gives a name to things without any order or rank
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8
Q

Ordinal

A
  • A nominal variable whose measurements have an order or rank
  • The gaps between each rank may not be equal
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8
Q

Interval

A
  • Ordinal variables where the gaps between each rank are equal
  • “Interval” refers to the size of the units
  • No true zero
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9
Q

Ratio

A
  • Measures equal units, such as elapsed time
  • Has a true zero
  • Zero could also mean the absence of a measurement, like weight
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10
Q

Type of variable: Religions

A

Nominal

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11
Q

Type of variable: Letter grades

A

Ordinal

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12
Q

Type of variable: A temperature scale of Fahrenheit

A

Interval

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13
Q

Type of variable: A clock

A

Interval

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14
Q

Type of variable: Stopwatch

A

Ratio

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15
Q

Categorical variables

A
  • Nominal & Ordinal
  • Coarse measure
  • Less sensitive to statistics, but can still detect correlation
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15
Q

Type of variable: Money

16
Q

Continuous variables

A
  • Interval & Ratio
  • Refined measure (specific)
  • More sensitive to statistics, making it easier to detect correlation
17
Q

X-axis

A

Independent variable

18
Q

Y-axis

A

Dependent variable

19
Q

Positive correlation

A

Two measures increase together or decrease together

20
Q

Negative correlation

A

As one measure increases, the other decreases

21
What do positive and negative correlations have in common?
They are causations
22
A correlation can be a causation if:
- The change is unidirectional - The change is direct, without a plausible alternative explanation
23
Unidirectional example with height and weight
- Height causes weight - Weight does not cause height
24
Direct change without a plausible alternative explanation example with height and weight
While factors like diet also cause weight, the influence of height is direct
25
Causal relationships and correlations
Every causal relationship is a correlation, but not every correlation is a causation
26
Association
- A mutual relationship between two variables that can either be causal, or only a correlation - Either variable can be the independent variable
27
Correlation between pay and gender
- Complicated because people and the soceieties we exist in are complicated - So many variables involves, so causality is hard to pinpoint
28
Correlation between ice cream and swimsuits sales
- Plausible alternative explanation: summer
29
Correlation between having a strong interest in the arts and living in the city
- Association - You could be interest in arts because you live in the city - Or you could move to the city because you're interested in arts
30
Correlation between people who watch crime shows and having mean world syndrome
- Association - People could have mean world syndrome because they watch crime shows - Or people could watch crime shows because they have mean world syndrome
31
32
How can researchers determine if correlations are meaningful?
Statistics
32
Statistical significance tests
Determine if a relationship among variables exists beyond chance, with some allowable error
32
Spurious relationship
A correlation of unrelated variables, or a coincidence
32
What does "beyond chance" mean?
- p < .05 refers to the amount of error allowed - p is probability - .05 is 5% - Less than 5% chance correlation in error
33
Relationship between a Gator victory and your lucky socks
Spurious relationship
34
Testing a correlation while testing a second one
Test the control, which could be a placebo, another treatment, or no treatment at all
35
Experiment
Comparing correlation for two or more conditions
36
Good experiment
- Participants must be assigned the conditions at random (random assignment) - Participants cannot know what condition they're in, and neither can the practitioners (double-blidn study) - These factors reduce bias
37
Randomized controlled trial
Tests a treatment against a control with participants assigned at random, and if possible, is double-blind
38
If the treatment is stronger than the control . . .
The treatment is causal
39
Split testing in media
Compares two messages, A and B
40
Sending ad tweets two weeks apart using different wording for each
- Split testing - Online analytics determine what generates more engagement