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Common Errors in Statistical Thinking
1.
3 Three Common
Errorsin statistical thinking
2.
Overview Misleading bar
charts Correlation and causation Two kinds of significance
3.
Error 1 Misleading
Bar Charts
4.
Student Satisfaction Data
Excerpt ? Can you compare “apples to apples” using this chart?
5.
Student Satisfaction Data
Excerpt ? Can you compare “apples to oranges” using this chart? Can you compare “apples to apples” using this chart?
6.
Student Satisfaction Data
Excerpt
7.
Error 2 Correlation
& Causation
8.
Variables An aspect
of someone or something that is free to vary – that is, different values are possible
9.
Correlation How 2
variables change (vary) in relationship
10.
CORRELATION
11.
Correlations of ±1.00
12.
An Interesting Correlation
Sources: FBI Crime Statistics (http://www.fbi.gov/ucr/cius_04/documents/CIUS_2004_Section2.pdf) and USDA Dairy Statistics (http://usda.mannlib.cornell.edu/usda/nass/DairProd//2000s/2005/DairProd-02-04-2005.pdf)
13.
Interesting Causation…? Landers,
J.B. (n.d.). On CAUSEweb.org. Retrieved from http://www.causeweb.org/
14.
Causation Causation has
at least 3 requirements Correlation Temporal precedence Control (elimination) of other possible causes
15.
Error 3 Two
kinds of significance
16.
Statistical Significance Null
hypothesis significance testing ? H0
17.
18.
Result: confusion
19.
Researchers report “significant
finding”
20.
Readers may think
it’s substantial when it’s only reliable or fairly certain
Notas del editor
r=~0.60