Experiment Decisions

Prof Randi Garcia
February 14, 2018

Reading Free-Write (5-7 minutes)

Think of the research question you were assigned to on Monday. You can read on the project page if you'd like.

  1. What is a potential response variable for a study that answers this question? How could you measure it on a ratio or interval scale?
  2. What is a potential explanatory variable? What conditions could you create to study this variable?
  3. What might be the material you assign to these conditions?

Announcements

  • HW 2 grades up on Moodle
    • Plus 2 points for everyone, 13a, 16, and 17, were often missed.
    • I will be dropping the lowest HW grade at the end.
  • HW 3 due Friday by midnight on Moodle! (due to snow day)

Agenda

  • Get into project groups and start discussing
  • Informal Analysis and Six Fisher Assumptions

Measurement Scale

Categorical

  • nominal: alcohol drinking (yes/no) of college students

Numerical

  • ordinal: “small,” “medium,” and “large” size drinks at a movie theater.
  • interval: scores on a “self-esteem” scale of middle- and upper-level managers
  • ratio: students’ individual times to complete cognitive task (e.g., 2:15, 2: 21, 2:33, etc.)

Project Proposal due Monday, Feb 26th

Group Discussion Questions

  1. What might be our response variable be? Can it be measured on an interval or ratio scale?
  2. What might we choose as our factors/conditions? What stimuli will we have to create these conditions? (practical considerations)
  3. What is the material we will be using? What are the units?

Six Fisher Assumptions

Six Fisher Assumptions

  • C. Constant effects
  • A. Additive effects
  • S. Same standard deviations
  • I. Independent residuals
  • N. Normally distributed residuals
  • Z. Zero mean residuals

Simulation Activity: Assembly Line Metaphor

C. Constant effects

We assume every observation in a similar condition is affected exactly the same. (Gets the same true score).

animals_sim <- animals %>%
  mutate(benchmark = mean(calm)) %>%
  group_by(animal) %>%
  mutate(animal_mean = mean(calm),
         aminal_effect = animal_mean - benchmark)

A. Additive effects

We add the effects as we go down the assembly line.

The interaction effect captures the possibility that conditions have non-additive effects, but it is also added to everythign else.

calm_sim = benchmark 
         + aminal_effect 
         + cue_effect 
         + interaction_effect 
         + student_effect 

S. Same standard deviations

The peice of code for adding error is not dependent on which condition the observations is in.

 + rnorm(64, 0, 0.65)

I. Independent residuals

Takes 64 independent draws from a normal distribution.

 + rnorm(64, 0, 0.65)

N. Normally distributed residuals

It's rnorm(), and not rbinom() or rpois()

 + rnorm(64, 0, 0.65)

Z. Zero mean residuals

The second argument is the mean.

 + rnorm(64, 0, 0.65)

Homework 3 Time

  • Due on Friday
  • Detailed instructions HERE