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#SAGETalks
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Teaching
Statistics To
People Who
(Think They) Hate
Statistics
#SAGETalks
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
Neil J. Salkind, Ph.D.
Author and Professor Emeritus,
University of Kansas
Susannah Goldes
Senior Associate Marketing Manager,
SAGE Publishing
Moderator
#SAGETalks
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
While we do our best to answer as many questions as we can, time constraints
may not allow us to answer every question. Thank you for understanding.
Send us your questions!
Send in your questions
via the Question Box
on your screen. →
Using Twitter? Use
the hashtag
#SAGETalks
#SAGETalks
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
1. Reducing Statistics Anxiety
2. Understanding Relationships and the Ice Cream Deal
3. Understanding Hypotheses
4. Significance (Yikes)
Today’s Talk
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
• No joke on the previous cartoon.
• Help from study groups and if necessary, help
schedule even taking time from class.
• My availability before and after class.
• Online assistance as necessary.
• Noting other students’ success.
Reducing Statistics Anxiety
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
Understanding Relationships and the Ice Cream Deal
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
Understanding Relationships and the Ice Cream Deal
• Discussing simple positive and negative correlations
with scattergrams as illustrations.
• Understanding the nature of relationships and how
variables share something in common.
• Interpreting simple correlations
– Follow the rules
– Eyeballing is usually best
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
A Simple Scattergram A Perfect Direct or
Positive Correlation
Understanding Relationships and the Ice Cream Deal
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
A Strong but Not Perfect
Direct Relationship
A Strong but Not Perfect
Indirect Relationship
Understanding Relationships and the Ice Cream Deal
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
Understanding Relationships and the Ice Cream Deal
Teach students to trust their intuition.
Eyeballing is usually best.
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
Understanding Hypotheses:
What They Are And How They Work
The definition of
hypotheses
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
Understanding Hypotheses:
What They Are And How They Work
What it
looks
like…
What it
says…
Who it
applies to?
What’s really
important…
Null
Hypothesis
Ho: μ1=μ2 Equality Population Indirectly tested
Research
Hypothesis
H1: m1≠m2 Lack of
equality
Samples Directly tested
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
Significance (Yikes)
All about the normal distribution and
the idea of chance. If there’s a 100%
chance of rain, it’s raining. And, there’s
never a 0% chance of raining (or
anything else for that matter).
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
Number of Heads Probability
0 1/1,024 or .001
1 10/1,024 or .01
2 45/1,024 or .05
3 120/1,2024 or 12
4 210/1,024 or .21
5 245/1,024 or .24
6 210/1,024 or .21
7 120/1,024 or .12
8 45/1,024 or .05
9 10/1,024 or .01
10 1/1,024 or .001
• Flipping coins
• Pascal’s triangle
• The binomial
distribution
Significance (Yikes)
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
The concept of significance
Significance (Yikes)
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
Significance (Yikes)
0
2
4
6
8
10
12
14
16
1 2 3 4 5
Random Sample of 50 Values
Between 1 and 5
The Central Limit Theorem 1
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
0
2
4
6
8
10
12
1 2 3 4 5 6 7 8 9 10
Averagesof 40
Samples of Size 4
Significance (Yikes)
The Central Limit Theorem 2
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
Significance (Yikes)
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
• Significance versus Meaningfulness
• The relationship between intelligence and shoe size.
Surely statistically significant but not meaningful.
Significance (Yikes)
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
The Eight Magic Steps
1. Set the null
2. Set alpha
3. Select the appropriate test statistic
4. Compute the obtained value
5. Determine the critical value
6. Compare obtained value to critical value
7. If obtained value>critical value null cannot be accepted
8. If critical value>obtained value null is best explanation
Significance (Yikes)
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
Significance (Yikes)
You can assign a probability to any event, but
whether or not that event is meaningful is up to
you, based on the rules you apply.
Significance (Yikes)
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
While we do our best to answer as many questions as we can, time constraints
may not allow us to answer every question. Thank you for understanding.
Send us your questions!
Send in your questions
via the Question Box
on your screen. →
Using Twitter? Use
the hashtag
#SAGETalks
#SAGETalks
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
Authored By Neil J. SalkindAuthored by Neil J. Salkind
Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
Webinar recording, slides, and follow-up Q&A will be emailed to you and available on
connection.sagepub.com.
Thank you!
Neil J. Salkind
StatisticsforPeople.com
Be sure to check our website for updates on our webinar series!
#SAGETalks

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Teaching Statistics Anxiety Reduction

  • 1. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne Make sure your volume is set appropriately Make sure you have followed the instructions on your keypad properly Make sure everything is plugged in properly to assure your devices are working correctly If you have audio or visual difficulties, please let us know via the Question box and we will be happy to assist you. Please Check Your Settings #SAGETalks
  • 2. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne Teaching Statistics To People Who (Think They) Hate Statistics #SAGETalks
  • 3. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne Neil J. Salkind, Ph.D. Author and Professor Emeritus, University of Kansas Susannah Goldes Senior Associate Marketing Manager, SAGE Publishing Moderator #SAGETalks
  • 4. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne While we do our best to answer as many questions as we can, time constraints may not allow us to answer every question. Thank you for understanding. Send us your questions! Send in your questions via the Question Box on your screen. → Using Twitter? Use the hashtag #SAGETalks #SAGETalks
  • 5. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne 1. Reducing Statistics Anxiety 2. Understanding Relationships and the Ice Cream Deal 3. Understanding Hypotheses 4. Significance (Yikes) Today’s Talk
  • 6. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne
  • 7. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne • No joke on the previous cartoon. • Help from study groups and if necessary, help schedule even taking time from class. • My availability before and after class. • Online assistance as necessary. • Noting other students’ success. Reducing Statistics Anxiety
  • 8. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne Understanding Relationships and the Ice Cream Deal
  • 9. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne Understanding Relationships and the Ice Cream Deal • Discussing simple positive and negative correlations with scattergrams as illustrations. • Understanding the nature of relationships and how variables share something in common. • Interpreting simple correlations – Follow the rules – Eyeballing is usually best
  • 10. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne A Simple Scattergram A Perfect Direct or Positive Correlation Understanding Relationships and the Ice Cream Deal
  • 11. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne A Strong but Not Perfect Direct Relationship A Strong but Not Perfect Indirect Relationship Understanding Relationships and the Ice Cream Deal
  • 12. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne Understanding Relationships and the Ice Cream Deal Teach students to trust their intuition. Eyeballing is usually best.
  • 13. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne Understanding Hypotheses: What They Are And How They Work The definition of hypotheses
  • 14. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne Understanding Hypotheses: What They Are And How They Work What it looks like… What it says… Who it applies to? What’s really important… Null Hypothesis Ho: μ1=μ2 Equality Population Indirectly tested Research Hypothesis H1: m1≠m2 Lack of equality Samples Directly tested
  • 15. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne Significance (Yikes) All about the normal distribution and the idea of chance. If there’s a 100% chance of rain, it’s raining. And, there’s never a 0% chance of raining (or anything else for that matter).
  • 16. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne Number of Heads Probability 0 1/1,024 or .001 1 10/1,024 or .01 2 45/1,024 or .05 3 120/1,2024 or 12 4 210/1,024 or .21 5 245/1,024 or .24 6 210/1,024 or .21 7 120/1,024 or .12 8 45/1,024 or .05 9 10/1,024 or .01 10 1/1,024 or .001 • Flipping coins • Pascal’s triangle • The binomial distribution Significance (Yikes)
  • 17. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne The concept of significance Significance (Yikes)
  • 18. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne Significance (Yikes) 0 2 4 6 8 10 12 14 16 1 2 3 4 5 Random Sample of 50 Values Between 1 and 5 The Central Limit Theorem 1
  • 19. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne 0 2 4 6 8 10 12 1 2 3 4 5 6 7 8 9 10 Averagesof 40 Samples of Size 4 Significance (Yikes) The Central Limit Theorem 2
  • 20. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne Significance (Yikes)
  • 21. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne • Significance versus Meaningfulness • The relationship between intelligence and shoe size. Surely statistically significant but not meaningful. Significance (Yikes)
  • 22. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne The Eight Magic Steps 1. Set the null 2. Set alpha 3. Select the appropriate test statistic 4. Compute the obtained value 5. Determine the critical value 6. Compare obtained value to critical value 7. If obtained value>critical value null cannot be accepted 8. If critical value>obtained value null is best explanation Significance (Yikes)
  • 23. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne Significance (Yikes) You can assign a probability to any event, but whether or not that event is meaningful is up to you, based on the rules you apply. Significance (Yikes)
  • 24. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne While we do our best to answer as many questions as we can, time constraints may not allow us to answer every question. Thank you for understanding. Send us your questions! Send in your questions via the Question Box on your screen. → Using Twitter? Use the hashtag #SAGETalks #SAGETalks
  • 25. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne Authored By Neil J. SalkindAuthored by Neil J. Salkind
  • 26. Los Angeles | London | New Delhi | Singapore | Washington DC | Melbourne Webinar recording, slides, and follow-up Q&A will be emailed to you and available on connection.sagepub.com. Thank you! Neil J. Salkind StatisticsforPeople.com Be sure to check our website for updates on our webinar series! #SAGETalks

Editor's Notes

  1. The Publisher of the Social Sciences