Presentation is loading. Please wait.

Presentation is loading. Please wait.

Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2016 Room 150 Harvill Building 10:00 - 10:50 Mondays, Wednesdays.

Published byAustin Preston Modified over 6 years ago

Similar presentations

Presentation on theme: "Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2016 Room 150 Harvill Building 10:00 - 10:50 Mondays, Wednesdays."— Presentation transcript:

1 Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2016 Room 150 Harvill Building 10: :50 Mondays, Wednesdays & Fridays. Welcome

2 By the end of lecture today 9/16/16
Use this as your study guide By the end of lecture today 9/16/16 Characteristics of a distribution Central Tendency Dispersion Measures of variability Range Standard deviation Variance Memorizing the four definitional formulae

3 Schedule of readings Before next exam (September 23rd)
Please read chapters in OpenStax textbook Please read Appendix D, E & F online On syllabus this is referred to as online readings 1, 2 & 3 Please read Chapters 1, 5, 6 and 13 in Plous Chapter 1: Selective Perception Chapter 5: Plasticity Chapter 6: Effects of Question Wording and Framing Chapter 13: Anchoring and Adjustment

4 Labs continue next week
Lab sessions Everyone will want to be enrolled in one of the lab sessions Labs continue next week

5 Another example: How many kids in your family?
3 4 2 1 4 2 2 3 1 8

6 Standard deviation - Let’s do one
This numerator is called “sum of squares” Definitional formula How many kids? Each of these are deviation scores Step 1: Find the mean X - µ_ 3 - 3 = 0 2 - 3 = -1 1 - 3 = -2 4 - 3 = 1 8 - 3 = 5 (X - µ)2 1 4 25 _ X_ 3 2 1 4 8 = 30 = 30/10 = 3 Step 2: Subtract the mean from each score (deviations) Step 3: Square the deviations Step 4: Add up the squared deviations Step 5: Find standard deviation Σ(x - µ) = 0 Σx = 30 Σ(x - µ)2 = 38 This is the Variance! a) 38 / 10 = 3.8 b) square root of 3.8 = 1.95 Σ(x - µ) = 0 This is the standard deviation!

7 “Sum of Squares” “Sum of Squares” “Sum of Squares” “Sum of Squares”
Standard deviation: The average amount by which observations deviate on either side of their mean “Sum of Squares” “Sum of Squares” “Sum of Squares” “Sum of Squares” Diallo is 0” Mike is -4” Hunter is -2 Shea is 4 David 0” Preston is 2” Deviation scores Remember, it’s relative to the mean “n-1” is “Degrees of Freedom” “n-1” is “Degrees of Freedom” Generally, (on average) how far away is each score from the mean? Based on difference from the mean Mean Remember, We are thinking in terms of “deviations” Diallo Please memorize these Preston Shea Mike

8 Raw scores, z scores & probabilities
Please note spatially where 1 standard deviation falls on the curve

9 Raw scores, z scores & probabilities
Please note spatially where 1 standard deviation falls on the curve 68% 95% 99.7%

10 These would be helpful to know by heart – please memorize areas
1 sd above and below mean 68% 2 sd above and below mean 95% 3 sd above and below mean 99.7% These would be helpful to know by heart – please memorize areas

11 Summary of 7 facts to memorize

12 We estimated and calculated the standard deviation
Now let’s use it as a measure of counting

13 Raw scores, z scores & probabilities
1 sd above and below mean 68% z = +1 z = -1 Mean = 50 S = 10 (Note S = standard deviation) If we go up one standard deviation z score = +1.0 and raw score = 60 If we go down one standard deviation z score = -1.0 and raw score = 40

14 Raw scores, z scores & probabilities
2 sd above and below mean 95% z = -2 z = +2 Mean = 50 S = 10 (Note S = standard deviation) If we go up two standard deviations z score = +2.0 and raw score = 70 If we go down two standard deviations z score = -2.0 and raw score = 30

15 Raw scores, z scores & probabilities
3 sd above and below mean 99.7% z = +3 z = -3 Mean = 50 S = 10 (Note S = standard deviation) If we go up three standard deviations z score = +3.0 and raw score = 80 If we go down three standard deviations z score = -3.0 and raw score = 20

16 Writing Assignment – Pop Quiz
1. What is a “deviation score” 2. Preston has a deviation score of 2: What does that tell us about Preston? Is he taller or shorter than the mean? And by how much? Are most people in the group taller or shorter than Preston Mike has a deviation score of -4: What does that tell us about Mike? Are most people in the group taller or shorter than Mike Diallo has a deviation score of 0: What does that tell us about Diallo? Are most people in the group taller or shorter than Diallo? Please write the formula for the standard deviation of a population Please draw 3 curves showing 1, 2 & 3 standard deviations from mean

17 Writing Assignment – Pop Quiz
7. What does this symbol refer to? What is it called? What does it mean? Is it referring to a sample or population? 8. What does this symbol refer to? What is it called? What does it mean? Is it referring to a sample or population? 9. What does this symbol refer to? What is it called? What does it mean? Is it referring to a sample or population? 10. What does this symbol refer to? What is it called? What does it mean? Is it referring to a sample or population? 11. What does this symbol refer to?

18 Writing Assignment – Pop Quiz
12. What does this refer to? What are they called? What do they refer to? How are they different 13. What does this refer to? What are they called? How are they different 14. What do these two refer to? What are they called? How are they different 15. What does this refer to? What is it called? Use it for sample data or population? “We lose a degree of freedom for every ___________”

19 Writing Assignment – Pop Quiz
16. What does this refer to? What are they called? What do they refer to? How are they different 17. What does this refer to? What are they called? What do they refer to? How are they different

20 Writing Assignment – Pop Quiz 1. What is a “deviation score”
2. Preston has a deviation score of 2: What does that tell us about Preston? Is he taller or shorter than the mean? And by how much? Are most people in the group taller or shorter than Preston Mike has a deviation score of -4: What does that tell us about Mike? Are most people in the group taller or shorter than Mike Diallo has a deviation score of 0: What does that tell us about Diallo? Are most people in the group taller or shorter than Diallo? Please write the formula for the standard deviation of a population Please draw 3 curves showing 1, 2 & 3 standard deviations from mean How far away is each score from the mean? Preston is 2” taller than the mean (taller than most) Mike is 4” shorter than the mean (shorter than most) Diallo is exactly same height as mean (half taller half shorter)

21 Writing Assignment – Pop Quiz
The standard deviation (population) 7. What does this symbol refer to? What is it called? What does it mean? Is it referring to a sample or population? sigma population The mean (population) 8. What does this symbol refer to? mu What is it called? What does it mean? Is it referring to a sample or population? population The mean (sample) 9. What does this symbol refer to? x-bar What is it called? What does it mean? Is it referring to a sample or population? sample The standard deviation (sample) 10. What does this symbol refer to? s What is it called? What does it mean? Is it referring to a sample or population? sample 11. What does this symbol refer to? Each individual score

22 Variance Writing Assignment – Pop Quiz 12. What does this refer to?
population sample 12. What does this refer to? Variance What are they called? What do they refer to? How are they different S squared Sigma squared 13. What does this refer to? population sample What are they called? How are they different Deviation scores 14. What do these two refer to? sample population What are they called? How are they different Sum of squares 15. What does this refer to? Degrees of freedom What is it called? Use it for sample data or population? “We lose a degree of freedom for every parameter we estimate”

23 Writing Assignment – Pop Quiz
Standard Deviation Writing Assignment – Pop Quiz 16. What does this refer to? What are they called? What do they refer to? How are they different sample population Variance 17. What does this refer to? What are they called? What do they refer to? How are they different sample population

24 Writing Assignment – Pop Quiz
Standard Deviation Writing Assignment – Pop Quiz 10. What does this refer to? What are they called? What do they refer to? How are they different sample population Variance 11. What does this refer to? What are they called? What do they refer to? How are they different sample population

25 Thank you! See you next time!!

Download ppt "Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2016 Room 150 Harvill Building 10:00 - 10:50 Mondays, Wednesdays."

Similar presentations

Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall, 2014 Room 120 Integrated.

Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall, 2014 Room 120 Integrated.
Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall, 2014 Room 120 Integrated.

Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall, 2014 Room 120 Integrated.
Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall, 2014 Room 120 Integrated.

Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall, 2014 Room 120 Integrated.
Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall, 2014 Room 120 Integrated.

Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall, 2014 Room 120 Integrated.
Lecturer’s desk Physics- atmospheric Sciences (PAS) - Room 201 s c r e e n Row A Row B Row C Row D Row E Row F Row G Row H 131211109 87 Row A 14131211109.

Lecturer’s desk Physics- atmospheric Sciences (PAS) - Room 201 s c r e e n Row A Row B Row C Row D Row E Row F Row G Row H Row A
Modern Languages 14131211109 87 6 54321 111098765 43 2 Row A Row B Row C Row D Row E Row F Row G Row H Row J Row K Row L Row M 212019181716 1514 13 12111098.

Modern Languages Row A Row B Row C Row D Row E Row F Row G Row H Row J Row K Row L Row M
Hand out z tables Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Spring 2015.

Hand out z tables Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Spring 2015.
Stage Screen Row B 13 121110 20191817 14 13 121110 19181716 1514 Gallagher Theater 16 65879 Row R 6 58 7 9 Lecturer’s desk Row A Row B Row C 4 3 2 43.

Stage Screen Row B Gallagher Theater Row R Lecturer’s desk Row A Row B Row C
Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Spring 2015 Room 150 Harvill.

Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Spring 2015 Room 150 Harvill.
Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall 2015 Room 150 Harvill.

Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall 2015 Room 150 Harvill.
Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall 2015 Room 150 Harvill.

Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall 2015 Room 150 Harvill.
Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall 2015 Room 150 Harvill.

Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall 2015 Room 150 Harvill.
Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall 2015 Room 150 Harvill.

Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall 2015 Room 150 Harvill.
Lecturer’s desk INTEGRATED LEARNING CENTER ILC 120 Screen 11 10 2 1 98 7 6 5 13 12 15 14 17 16 19 18 4 3 Row A Row B Row C Row D Row E Row F Row G Row.

Lecturer’s desk INTEGRATED LEARNING CENTER ILC 120 Screen Row A Row B Row C Row D Row E Row F Row G Row.
Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Spring 2016 Room 150 Harvill.

Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Spring 2016 Room 150 Harvill.
Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall 2015 Room 150 Harvill.

Introduction to Statistics for the Social Sciences SBS200, COMM200, GEOG200, PA200, POL200, or SOC200 Lecture Section 001, Fall 2015 Room 150 Harvill.
Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2016 Room 150 Harvill Building 10:00 - 10:50 Mondays, Wednesdays.

Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2016 Room 150 Harvill Building 10: :50 Mondays, Wednesdays.
Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2016 Room 150 Harvill Building 10:00 - 10:50 Mondays, Wednesdays.

Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2016 Room 150 Harvill Building 10: :50 Mondays, Wednesdays.
Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Spring 2017 Room 150 Harvill Building 9:00 - 9:50 Mondays, Wednesdays.

Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Spring 2017 Room 150 Harvill Building 9:00 - 9:50 Mondays, Wednesdays.
Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2016 Room 150 Harvill Building 10:00 - 10:50 Mondays, Wednesdays.

Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2016 Room 150 Harvill Building 10: :50 Mondays, Wednesdays.

Similar presentations

Ads by Google