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

Lecturer’s desk Projection Booth Screen Screen Harvill 150 renumbered Row A 15 14 Row A 13 12 11 10 9 8 7 6 5 4 3 2 1 Row A Row B 23 22 21 20 Row B 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Row B Row C 25 24 23 22 21 Row C 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Row C Row D 29 28 27 26 25 24 23 Row D 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Row D Row E 31 30 29 28 27 26 25 24 23 Row E 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Row E Row F 35 34 33 32 31 30 29 28 27 26 Row F 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Row F Row G 35 34 33 32 31 30 29 28 27 26 Row G 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Row G Row H 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 Row H 12 11 10 9 8 7 6 5 4 3 2 1 Row H 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 Row J 13 12 11 10 9 8 7 6 5 4 3 2 1 Row J 41 40 39 38 37 36 35 34 33 32 31 30 29 Row K 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Row K Row L 33 32 31 30 29 28 27 26 25 Row L 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Row L Row M 21 20 19 Row M 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Row M Row N 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Row P 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Harvill 150 renumbered table 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Projection Booth Left handed desk

A note on doodling

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

Schedule of readings Before next exam (November 17th) Please read chapters 1 - 11 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

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

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

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

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

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

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

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

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

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

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

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

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

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 ?

Thank you! See you next time!!