Ch. 2 Part 2 Notes: Experimental Method and Correlational Method

Experimental Method: Overview

  • Core example question: "Does misery love company?" studied by Stanley Schachter

    • Context: When people are anxious, do they want to be left alone or be around others?

    • Schachter’s stance (based on relevant theory): in times of anxiety, people may seek others to help sort out feelings; this reflects the need for affiliation

  • Structure of the lesson: use the Schachter study to illustrate experimental method, variable types, group design, and control of extraneous variables

The Schachter Question and Hypotheses

  • Research question: In anxiety, do people desire affiliation (i.e., being with others) more as anxiety increases?

  • Hypothesis (informal): Increases in anxiety will cause increases in the desire to be with others (need for affiliation)

  • How hypotheses connect to methods:

    • The hypothesis motivates the manipulation of a variable (IV) and observation of a consequent change in a second variable (DV)

What is an Experiment? Key definition

  • Experiment (as a research method):

    • The investigator manipulates a variable (the independent variable, IV) under carefully controlled conditions

    • Observes whether changes occur in a second variable (the dependent variable, DV) as a result of the manipulation

  • Purpose: to detect cause-and-effect relationships (Does IV cause changes in DV?)

  • In psychology, experiments are a dominant method because of their potential to establish causality

  • Formal restatement (Schachter example):

    • IV is the manipulated factor (anxiety level)

    • DV is the measured outcome (desire to affiliate / need for affiliation)

Variables in the Schachter Study (IV, DV, and the role of extraneous variables)

  • Independent Variable (IV): the level of anxiety manipulated by the experimenter

    • In Schachter’s design, anxiety level was varied by deception via a cover story about electric shocks

    • Actual shocks were not administered; the manipulation was intended to evoke different anxiety levels

  • Dependent Variable (DV): the desire to affiliate, operationalized as the participants’ preference for waiting with others during a delay

  • Hypothesized effect: higher anxiety (IV) would lead to greater affiliation (DV)

  • Explanation of manipulation and measurement sequence:

    • Participants were told they would undergo a physiological test with possible electricity exposure

    • One group was told shocks would be very painful (high anxiety); the other group told shocks would be mild/painless (low anxiety)

    • During a delay before the procedure, participants chose whether to wait alone or with others; this choice served as the DV

Experimental and Control Groups: Design and purpose

  • Experimental group: participants who received the anxiety-arousing manipulation (high anxiety condition)

  • Control group: participants who did not receive the anxiety-arousing manipulation (low anxiety condition)

  • Purpose of the two groups: to compare DV outcomes under different levels of the IV while holding other factors constant

  • Why two groups? To isolate the effect of the IV on the DV by ensuring that the groups are similar on everything except the IV

  • Important caveat: in practical research, perfect similarity across all variables is impossible; researchers aim to balance relevant variables that could influence the DV

Extraneous Variables and the Problem of Confounds

  • Extraneous variables: any variables other than the IV that could influence the DV

  • Why they matter: if extraneous variables differ between groups, they can confound results and make it unclear whether observed DV changes are due to the IV

  • Examples from the Schachter context:

    • Sociability or extroversion could influence the likelihood of affiliating independent of anxiety

  • Confounding: when an extraneous variable is linked with the IV in a way that makes it difficult to disentangle its effects on the DV

    • If the high-anxiety group happened to be more sociable on average, observed affiliative behavior could be due to sociability rather than anxiety

  • The goal: make experimental and control groups alike on relevant extraneous variables to isolate the IV effect

How researchers control extraneous variables: Random assignment

  • Random assignment (a safeguard):

    • Each participant has an equal chance of being assigned to any group or condition

    • Purpose: to produce groups that are similar on extraneous variables by chance, thus reducing systematic differences between groups

  • Practical example in Schachter’s context: assignment to high-anxiety (experimental) vs low-anxiety (control) should be random to balance potential confounds

  • Important distinction: random assignment is about group allocation within a study, not about selecting a sample from the population (sampling is a separate issue)

The Logic of Experimental Design (causation through control)

  • Core logic: if two groups are alike on all aspects that could influence the DV except for the IV, then differences in the DV across groups can be attributed to the IV

  • Consequence: researchers can isolate the effect of the IV on the DV and make a causal inference about the relationship

  • In Schachter’s study: the hypothesis that anxiety changes need for affiliation can be tested by comparing DV (desire to wait with others) across high vs low anxiety groups

Step-by-step: Schachter’s Procedure and Results (how the design played out)

  • Orientation and deception (cover story): participants were told about the study on the physiological effects of electric shocks; the level of threat (painful vs painless) was manipulated to induce different anxiety levels

  • Delay and measurement of DV: after orientation, participants waited for equipment to be prepared and were asked whether they preferred to wait alone or with others; this choice served as the DV

  • Experimental and control groups defined by anxiety manipulation:

    • High anxiety (experimental) group: told shocks would be painful

    • Low anxiety (control) group: told shocks would be mild/painless

  • Random assignment caveat: the slide notes emphasize random assignment as a safeguard but Schachter’s description focuses on the intentional manipulation of anxiety levels to create two groups

  • Results (as shown in the graph):

    • The X-axis shows the experimental vs control groups (IV manipulation)

    • The Y-axis shows the DV (percent of participants wanting to wait with others)

    • Finding: increased anxiety led to a higher desire to affiliate; the high-anxiety group waited with others at roughly twice the rate of the low-anxiety group

  • Conclusion: the results supported the hypothesis that anxiety increases the need for affiliation

The Experimental vs Control Groups: Summary points

  • Experimental group: receives the manipulation of interest (anxiety-arousing procedure)

  • Control group: does not receive the special treatment (neutral condition)

  • The two groups should be similar on non-IV factors to avoid confounding, enabling attribution of DV differences to the IV

  • Real-world note: exact sameness across all characteristics is unrealistic; what matters is similarity on variables relevant to the DV

Why random assignment matters (revisited)

  • Random assignment helps ensure that extraneous variables are distributed similarly across groups, reducing systematic bias

  • Examples of non-random assignment problems: letting participants choose groups or grouping by friendship networks can introduce confounds (e.g., sociability clusters)

  • The practical takeaway: random assignment strengthens the internal validity of experiments and supports causal conclusions

Strengths of the Experimental Method (causation and control)

  • Main strength: can establish cause-and-effect relationships between variables

  • Why: precise control of the IV and randomization help isolate the IV's effect on the DV while neutralizing extraneous variables

  • The Schachter study illustrates how an experiment can test a theoretical hypothesis about behavior under different emotional states

  • No other research method duplicates this level of causal inference for controlled manipulation scenarios

Limitations and Ethical/Practical Considerations of the Experimental Method

  • One major limitation: not all research questions can be ethically or practically tested with experiments

  • Example given: the effects of severe nutritional neglect during pregnancy on child health are ethically unacceptable to manipulate directly

  • When experiments are not feasible due to ethics or practicality, researchers turn to descriptive correlational methods

Transition to the Correlational Method (descriptive approach)

  • When experiments cannot manipulate the variables, researchers rely on correlational designs

  • Central claim: correlational methods cannot demonstrate cause-and-effect relationships; they reveal whether a relationship or association exists between variables

  • The key statistic: the correlation coefficient, denoted as rr

  • The correlational approach focuses on predicting one variable from another, not on establishing causation

  • The goal is to identify links that may prompt further, more controlled investigations

What is a Correlation? Understanding the core idea

  • A correlation exists when two variables are related to one another

  • Correlations can be positive or negative, depending on the direction of the relationship, but not necessarily indicating strength or causality

  • Positive correlation: as X increases, Y tends to increase; as X decreases, Y tends to decrease

  • Negative correlation: as X increases, Y tends to decrease; as X decreases, Y tends to increase

  • Examples:

    • Positive: high school GPA and college GPA (generally, higher HS GPA tends to relate to higher college GPA)

    • Negative: number of absences and exam scores (more absences tend to relate to lower exam scores)

  • Important distinction: the terms “positive” and “negative” refer to direction, not to whether the relationship is good or bad

The Correlation Coefficient: Magnitude and Direction

  • The correlation coefficient r measures the strength and direction of the linear relationship between two variables

  • Range and interpretation:

    • Sign indicates direction: positive (+) or negative (−)

    • Magnitude indicates strength: 0 ≤ |r| ≤ 1

  • Strength categories (rough guidelines):

    • |r| near 0: weak or no linear relationship

    • |r| around 0.3–0.5: moderate relationship

    • |r| around 0.7–0.9: strong relationship

    • |r| near 1: very strong relationship

  • Example comparisons:

    • r = 0.90 is stronger than r = 0.40

    • r = −0.75 is stronger in magnitude than r = −0.45

  • Notation tip: the sign indicates direction; the magnitude indicates strength

  • Formula (conceptual):
    r=racextcov(X,Y)σ<em>Xσ</em>Yr = rac{ ext{cov}(X,Y) }{ \sigma<em>X \, \sigma</em>Y }
    where cov is the covariance and σ denotes standard deviation

  • Practical note: r ranges from −1 to +1; r = 0 indicates no linear relationship

Positive vs Negative Correlations: Examples and implications

  • Positive example: high school GPA and college GPA (as X ↑, Y ↑ on average)

  • Negative example: class absences and exam scores (as X ↑, Y ↓ on average)

  • The direction tells us how the variables move together, not whether one causes the other

Correlation and Prediction: What correlations enable

  • Prediction as a key utility of correlations: stronger correlations improve predictive accuracy

  • Example in education: college admission test scores (ACT/SAT) vs college GPA

    • Typical correlations are moderate (roughly rextin[0.4,0.5]r ext{ in } [0.4, 0.5])

    • These correlations allow admission committees to predict college performance with modest accuracy

    • Higher correlations would yield stronger predictive power; lower correlations weaken predictive usefulness

  • Important caveat: even strong correlations do not establish causation

Why Correlation Does Not Imply Causation: The Third Variable Problem

  • Core problem: a high correlation does not prove that one variable causes the other

  • Two main issues:

    • Directionality problem: with a correlation, it is unclear which variable influences the other (X → Y, Y → X, or bidirectional)

    • Third-variable problem: a third variable Z could cause both X and Y, creating a spurious association

  • Real-world illustration: social activity (X) and happiness (Y) show a positive correlation, but it is unclear whether social activity causes happiness or vice versa, or if both are influenced by a third variable like extroversion

  • The third-variable example in notes: extroversion could drive both social activity and happiness, producing a correlation without a direct causal link between X and Y

  • Takeaway: correlation alone cannot establish causation; experimental manipulation is required to test causal claims

Advantages and Disadvantages of Correlational Research

  • Advantages:

    • Allows study of questions that cannot be ethically or practically manipulated

    • Broadens the scope of phenomena psychologists can examine (e.g., nutrition and child health, urban vs. rural upbringing and values)

  • Disadvantages:

    • Cannot conclusively demonstrate causation

    • Associations can be influenced by third variables; direction of causality remains uncertain without experimental evidence

  • Summary: correlational research is valuable for exploring relationships and making predictions, but it cannot replace experiments when causal conclusions are required

Summary and Look Ahead

  • Chapter 2 Part 2 covered:

    • Experimental method basics, IV/DV concepts, control of extraneous variables, and the role of random assignment

    • The Schachter (need for affiliation) study as a concrete illustration of manipulation, group design, and DV measurement

    • Strengths and limitations of experiments (causation vs ethics): why some questions require correlational methods

    • Introduction to correlational research: what correlations mean, how to interpret r, and why correlation does not imply causation

    • Third-variable problem and the predictive value of correlations, with real-world examples (SAT/college GPA, absences vs exam scores)

  • Next topic: correlational method in more detail, including how to measure and interpret correlation strength, prediction, and the limitations in establishing causation

  • Note: Additional resources and a short video (Schachter’s experiment) were recommended to reinforce understanding

Helpful formulas and definitions (quick reference)

  • Independent variable (IV) and dependent variable (DV) relation:

    • Treat X as IV and Y as DV; the experiment tests whether changes in X cause changes in Y

  • Hypothesis form (conceptual):

    • If X increases, then Y increases

  • Prediction relevance: stronger |r| implies better predictive accuracy, but does not prove causation

  • Key terms to remember:

    • Extraneous variable: any variable other than IV that could influence DV

    • Confounding variable: an extraneous variable entangled with IV, complicating causal inference

    • Random assignment: equal probability of assignment to each group to balance extraneous variables

    • Third-variable problem: a third variable causing both X and Y, producing a spurious correlation