1. Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2017 Room 150 Harvill Building 10: :50 Mondays, Wednesdays & Fridays.
Welcome

2. Lecturer’s desk Projection Booth Screen Screen Harvill 150 renumbered
Row A 15 14
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Harvill 150
renumbered
table 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
Projection Booth
Left handed desk

4. A note on doodling

5. Project 3 And Start Project 4
Lab sessions
Everyone will want to be enrolled
in one of the lab sessions
Hand in
Project 3 And Start Project 4

6. Schedule of readings Before next exam (November 17th)
Please read chapters in OpenStax textbook
Please read Chapters 2, 3, and 4 in Plous
Chapter 2: Cognitive Dissonance
Chapter 3: Memory and Hindsight Bias
Chapter 4: Context Dependence

7. Two-way analysis of variance Variance is divided further
College
Number of
cookies sold
Elementary
Remember, two-way = two IV
None
Bike
Hawaii trip
Total variability
Between
group
variability
Within
group
variability
Remember, factor = independent variable
Remember, within group variability = error variability = random error
Factor A
Variability
Factor B
Variability
Interaction
Variability

8. Main effects and interactions
Does incentive have an effect?
We have two main effects
and an interaction
Do age and the
type of incentive interact?
Number of
cookies sold
Incentives
None
Bike
Hawaii trip
Number of
cookies sold
Incentives
None
Bike
Hawaii trip
Elementary
College
No incentive
Number of
cookies sold
Age
Elementary
College
Bike
Hawaii trip
Number of
cookies sold
Age
Elementary
College
Does age have an effect?
Rule for interactions:
No interaction: If lines are parallel
Yes interaction: If lines are (in any way) NOT parallel 8

9. What if there were no interactions?
Do age and the
type of incentive interact?
Does incentive have an effect?
Does the age and the type of incentive interact?
Incentives
Number of
cookies sold
None
Bike
Hawaii trip
College
Elementary
Number of
cookies sold
None
Bike
Hawaii trip
Incentives
Number of
cookies sold
Age
Elementary
College
Hawaii trip
Bike
Number of
cookies sold
No incentive
Elementary
College
Does age have an effect?
Age
We have no interaction
Rule for interactions:
No interaction: If lines are parallel
Yes interaction: If lines are (in any way) NOT parallel 9

10. Main effect of A? Main effect of B? Interaction? Significant Fs?
Dependent Variable
Factor A A1 A2
Factor B B1 B2
No main effect of A
No main effect of B
Yes, interaction
Dependent Variable
Factor A A1 A2
Factor B B1 B2
Yes main effect of A
Yes main effect of B
No interaction 10

11. Main effect of A? Main effect of B? Interaction? Significant Fs?
Dependent Variable
Factor A A1 A2
Factor B B1 B2
No main effect of A
Yes main effect of B
Yes, interaction
Dependent Variable
Factor A A1 A2
Factor B B1 B2
Yes main effect of A
No main effect of B
No interaction 11

12. For the independent variable plotted on the x-axis
Let’s try one
Dependent Variable
Factor A A1 A2
Factor B B1 B2
For the independent variable plotted on the x-axis
a. there is a main effect
b. There is not a main effect

13. For the independent variable plotted with the two lines
Let’s try one
Dependent Variable
Factor A A1 A2
Factor B B1 B2
For the independent variable plotted with the two lines
a. there is a main effect
b. there is not a main effect

14. For the two independent variables a. there is an interaction
Let’s try one
Dependent Variable
Factor A A1 A2
Factor B B1 B2
For the two independent variables
a. there is an interaction
b. there is not an interaction

15. Let’s try one
In a two-way ANOVA we have one dependent variable and two independent variables. Which of the following graphs shows
no interaction
Cookies
Sold
Incentives
None
Hawaii
College
Elementary A
Amount of Activity
Adderall No
Yes
ADHD
Control B
a. A b. B c. C d. D e. A &D
Weight
Calories
Low
High
High Exercise
Low Exercise D
Activity
Another Male Spray
Spray
No Spray
Male
Female C

16. Let’s try one
In a two-way ANOVA we have one dependent variable and two independent variables. This graph shows
a. A main effect of exercise, but no main effect of calories b. A main effect of exercise, and a main effect of calories c. No main effect of exercise, and no main effect of calories d. No main effect of exercise, a main effect of calories
Weight
Calories
Low
High
High Exercise
Low Exercise

17. Let’s try one
In a two-way ANOVA we have one dependent variable and two independent variables. This graph shows
a. A main effect of incentive, but no main effect of age b. A main effect of incentive, and a main effect of age c. No main effect of incentive, and no main effect of age d. No main effect of incentive, a main effect of age
Cookies Sold
Incentives
None
Hawaii
College
Elementary

18. Let’s try one
In a 2 x 2 ANOVA there are how many tests of significance? (or how many “F”s are calculated?)
a. 1 b. 2 c. 3 d. 4

19. Pair and share your homework assignment examples
Generate an example of three different hypothetical 2 x 2 experiments:
Independent Variable 1?
Dependent Variable
Factor A A1 A2
Factor B B1 B2
Independent Variable 2?
? ?
Dependent Variable?
Main effect of A ?
Main effect of B ?
Interaction ?

20. Thank you!
See you next time!!