Introduction and Class Overview
Introduction
- Welcome
- What "MGT 730A: Design and Analysis of Experiments" is about
- Goals of course
- How to make sense of numbers and test ideas
You can be a sophisticated consumer of data
or you can be everyone else
- How to obtain meaningful data
Plan your research - select which method to use
- Scope
- Research methods
- Scientific methods (controlled experiment, quasi-experiment or natural experiment, naturalistic observation, etc.)
- Business research methods (survey, questionnaires, interview, case study, focus group, etc.)
- Statistics
- Descriptive (mean, standard error, etc.)
- Inferential (t-test, ANOVA, etc.)
- Exploratory (data reduction - factor analysis, etc.)
Class overview
- Design of experiments
- Scientific methods
- Operational definitions and variables
- Validity, precision, reliability, and accuracy
- Sampling, randomization, and counterbalancing
- Between, within, matched and factorial designs
- Business research methods
- Research planning
- Analysis of experiments
- Hypothesis testing and confidence intervals
- z, t, ANOVA, and Chi-square tests
- Correlation and regression
- Factor analysis
Making sense of numbers: Real pattern or just noise?
- Demo on detecting patterns and randomness: http://faculty.vassar.edu/~lowry/wolfgang.html
- Regression to the mean
- Example 1: A person X scored 780 out of 800 on SAT. X takes the SAT again. Assuming that there was no learning or practice effect, what score would you expect X to get on the second test?
- Below 780, between 780 and the mean.
- People's scores fluctuate just by luck.
- Regression to the mean occurs any time people are chosen in such a way that their scores are systematically different from their "true" scores.
- Example 2: You flip a coin 10 times and ask your class to predict the outcome of each flip. Student X was correct 8 out of 10 times. You test X for a second time. How many times X will predict correctly this time?
- The best prediction is 5 correct guesses.
- This test is all luck.
- The score of 8 will regress all the way to the mean of 5.
- Regression to the mean is the tendency for scores to average out. Extreme scores tend to happen rarely and fall back toward the mean.
- Francis Galton (1822-1911), cousin of Charles Darwin
- Tall parents had tall children but not so tall on average and short parents had short children but not so short on average - regression to the mean.
- "Natural Inheritance" (1889) - statistical methods to verify theories (line of regression)
- Regression to the mean and data gathering
- Suppose you choose fifth-grade children who scored the worst on a reading test, administer a drug that may improve their reading ability, and retest them on the reading test.
- The lowest-scoring children are likely to have scored lower than their "true" scores and thus improve on a retest.
- You cannot conclude that the drug improved their reading skills because the improvement can also be due to regression to the mean.
- Other Examples?
Experiment is one of the steps of the scientific method
- Scientific method
- Develop a theory based on observations (empirical)
- Form a hypothesis based on the predictions of the theories (predictive)
- Test the hypothesis by experiments (testable)
- If the hypothesis is supported, the theory survives
- If the hypothesis fails, the theory fails (falsifiable)
- Modify the old theory or develop a new theory (tentative)
- Test the theory again (rigorously evaluated)
- Experiment
- A test under controlled conditions
- Examine the validity of the hypothesis
- Statistical analysis
- Stupid questions get stupid answers
Observation is an important part of research.
How can observation be objective?
- Kuhn paradigm (1962)
- What you will accept as evidence depends on theory.
- Different people look at different things.
- Who is a better baseball player?
- Stats freak: Look at batting average and r.b.i.
- Owner: Look at salary and gate attendance
- These two are not speaking the same language.
- A paradox of empiricism
- We make observations in our studies.
- Observations are used to build theories.
- What counts as an observation depends on theory.
- A study of human communication - videotape a conversation
- What should we code?
- How often people hesitate in speech?
- Use of space filling (er, um)?
- Sneezes?
- How often they gesture?
- What kind of gestures they make?
- What if our theory is wrong?
- You might miss key pieces of information.
- Observation poses a particular problem when dealing with people.
- Awareness of the experimental situation - demand characteristics.
- Most people in a study want to be cooperative.
- People will try to figure out what you want them to do and then they will do it.
- Cues other than the ones central to the research may guide people to the "right" behavior.
- Could be aspects of the instructions or the tasks.
- Results are not interesting if you tell them what to do.
- Study of problem solving - people might use tools just because they were given.
- Issues to consider
- Minimize interference - Demand characteristics, reactivity.
- Maximize precision - Precision and validity.
- Maximize objectivity - Expectancy and reliability.
For Project:
In order to help you prepare for your project, I would like you to think about some potential research topics. For each topic, develop a testable hypothesis. An example of a testable hypothesis is "People who live in dirty houses often become ill." Try to come up with hypotheses that are:
- Related to your work
- Testable
- Relatively easy to evaluate