Teacher Training in Educational Research and Statistical Analysis – Session 4: Random Assignment and Quasi-Experimental Design

힘센캥거루
2025년 12월 21일
3
40

Today’s class begins with the following research question:

Are after-school programs effective in improving academic performance?

If we simply compare the scores of students who participated in after-school classes with those who did not, and then draw conclusions based on that, the study’s internal validity will be threatened.

This is because students’ grades are influenced by many factors besides the after-school program, such as their original performance, household income, and parental involvement.

This is called a selection problem.

It occurs because there are systematic differences between the two groups.

So how can we eliminate this?

1. Random assignment

Teacher Training in Educational Research and Statistical Analysis – Session 4: Random Assignment and Quasi-Experimental Design-1

Random assignment means assigning research subjects to groups randomly, without the researcher’s intervention.

It is like flipping a coin to decide whether a student will participate in the after-school program or not.

When groups are assigned this way, the characteristics of the two groups become extremely similar in the long run.

  • Eliminates selection bias between groups

  • Ensures even distribution of potential confounding variables

  • Strengthens the internal validity of causal inference

If, after random assignment, the experimental results show a 40-point difference in scores between participants and non-participants in the after-school program, we can conclude that this difference is due to the effect of the after-school class.

This is because random assignment has removed the differences between the two groups, so those differences can no longer influence the conclusion.

2. Random assignment and self-selection

Teacher Training in Educational Research and Statistical Analysis – Session 4: Random Assignment and Quasi-Experimental Design-2

In educational research, participation in activities such as choosing an after-school program cannot realistically be forced through random assignment.

Generally, such activities are decided by students and parents themselves, according to their grades, free time, and other circumstances.

Because of this, it is difficult to secure homogeneity between the two groups.

Therefore, when random assignment is not possible, researchers need alternative methods, namely quasi-experimental designs.

3. Research designs that allow self-selection

1) Post-hoc statistical adjustment through regression and matching

(1) Regression analysis

This method anticipates and surveys key differences between students who participated in after-school classes and those who did not, and then statistically adjusts for those differences.

If there are large differences in prior achievement, household income, or parental involvement between participants and non-participants, we measure these and statistically align conditions so they are similar.

Methods include pooled OLS and analysis of covariance (ANCOVA).

Category

Pooled OLS

ANCOVA

What it is

Run a regression on all the data as a single bundle

Compare group differences while considering covariates

When to use

For panel data when you’re not especially accounting for control variables

When comparing groups in experimental/educational research while controlling covariates

Core purpose

Estimate the effect of x on y

Accurately compare group differences after adjusting for covariates

Strengths

Simplicity

Enables fair comparison (corrects pre-existing differences)

Weaknesses

May be biased by ignoring individual/time differences

Requires the assumption that covariates are independent of the treatment

(2) Matching

Matching is a method of pairing units in the treated and untreated groups that have similar characteristics and comparing them.

If there are systematic score differences between after-school participants and non-participants depending on parental involvement, matching gathers students with similar levels of parental involvement and compares them.

Within that range, the effect of participation/non-participation in after-school classes becomes much smaller.

Teacher Training in Educational Research and Statistical Analysis – Session 4: Random Assignment and Quasi-Experimental Design-3

2) Difference score analysis (difference-in-differences)

This method measures pre-test scores and then calculates the difference from post-test scores.

However, simply comparing pre- and post-test scores with this method also threatens internal validity.

This is because learner growth (maturation) occurs during the period.

This threat can be addressed by including non-participant students in the study.

If students’ growth is occurring, it should happen in both groups.

But if it does not occur in the non-participant group, we can prove that the effect is not due to maturation.

4. One More Thing?

There were many analysis methods here that I was seeing for the first time, so I organized them as follows.

Research Design

Core Idea

Strengths

Weaknesses

Suitable Cases

Regression Discontinuity Design (RDD)

Compare units near the cutoff

High internal validity

Hard to generalize, requires a cutoff

Score- or threshold-based policies

Instrumental Variables (IV)

Use exogenous instruments

Can remove unobserved confounding

Hard to find valid instruments, weak IV problems

Empirical studies in economics and education

Interrupted Time Series (ITS, with comparison group)

Compare trends before and after intervention

Captures changes over time, can include a comparison group

Hard to control external factors

Effects of policy or institutional changes

  • RDD: People right around the cutoff are almost identical, so we compare them.

  • IV: Use a neutral lever (instrument) that links cause and effect to infer causality indirectly.

  • ITS: Look at whether the flow or trend changes over time before and after the intervention.

5. Afterthoughts

When I was supervising a science research project in the past, one student who later went to Seoul National University ran an experiment with gathered participants.

They also conducted pre- and post-tests, and when I saw them using ANOVA at the time, I thought, “So there’s a method like this,” and now I’m the one learning it.

This makes me realize how helpful it is to actually write a paper when supervising research projects.

In the past, I only focused on the process of drawing conclusions through experiments, but from now on I think I’ll be able to ask strong questions about the validity of those experimental conclusions.

It was a rewarding day of learning.

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