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Questions and Answers

A researcher finds a strong positive correlation between hours spent studying and exam scores. What can they infer from this correlation?

  • Studying has no effect on exam scores.
  • Lower exam scores directly cause less studying.
  • Increased studying directly causes higher exam scores.
  • There is an association between studying and exam scores, but causation cannot be determined from correlation alone. (correct)

What does a Pearson Product Moment Correlation Coefficient (r) of -0.9 indicate?

  • A weak positive correlation.
  • No correlation.
  • A strong negative correlation. (correct)
  • A strong positive correlation.

If the correlation between two variables is close to zero, what does this suggest?

  • A strong positive relationship.
  • A weak or non-existent linear relationship. (correct)
  • A strong negative relationship.
  • A curvilinear relationship.

In a study examining the relationship between exercise and stress levels, a correlation coefficient of -0.65 is found. Interpret this finding.

<p>Increased exercise is associated with decreased stress, and there may be other contributing factors. (B)</p> Signup and view all the answers

A school principal notices a correlation of 0.85 between student attendance and GPA. How can this information be used?

<p>To predict a student's potential GPA based on their attendance record. (C)</p> Signup and view all the answers

A study finds a correlation of 0.2 between ice cream sales and crime rates. What is the most reasonable interpretation of this result?

<p>A third variable, such as hot weather, may influence both ice cream sales and crime rates. (D)</p> Signup and view all the answers

Researchers are studying the relationship between hours of sleep and test performance. Which correlation coefficient would indicate the strongest relationship between these two variables?

<p>-0.80 (A)</p> Signup and view all the answers

What is the range of possible values for the Pearson product-moment correlation coefficient?

<p>-1 to +1 (A)</p> Signup and view all the answers

Which of the following is a primary limitation of quasi-experiments compared to true experiments?

<p>The inability to manipulate antecedent conditions, hindering the establishment of causal relationships. (D)</p> Signup and view all the answers

In what key aspect do correlational studies differ from experimental studies?

<p>Experimental studies allow conclusions about cause-and-effect relationships, while correlational studies primarily identify associations. (A)</p> Signup and view all the answers

A researcher aims to study the impact of a natural disaster on the mental health of residents in the affected area. Which research design is most appropriate, considering the ethical and practical limitations?

<p>A quasi-experiment, comparing the mental health outcomes of residents in the disaster-affected area with those in a similar, unaffected area. (D)</p> Signup and view all the answers

What does 'high imposition of units' refer to, in the context of research methodology?

<p>The extent to which a researcher limits a participant’s responses. (D)</p> Signup and view all the answers

A school psychologist notices a correlation between student participation in extracurricular activities and their grade point average (GPA). What conclusion can be validly drawn from this observation?

<p>There is an association between participation in extracurricular activities and GPA, but causation cannot be determined. (A)</p> Signup and view all the answers

Which of the following research methods is most suitable for predicting future behavior based on pre-existing characteristics?

<p>Correlational study of pre-existing variables. (A)</p> Signup and view all the answers

What is a primary limitation when interpreting results from correlational studies?

<p>They cannot establish cause-and-effect relationships. (B)</p> Signup and view all the answers

A study compares the effectiveness of two different teaching methods in two separate classrooms, without randomly assigning students to the methods. What is the most significant threat to the internal validity of this study?

<p>The inability to control for pre-existing differences between the students in the two classrooms. (A)</p> Signup and view all the answers

Which characteristic distinguishes quasi-experiments from true experiments?

<p>The manipulation of antecedent conditions or random assignment. (C)</p> Signup and view all the answers

A researcher is interested in studying the impact of a natural disaster on mental health. Why would a quasi-experimental design be more suitable than a true experimental design for this study?

<p>Because the event has already occurred, so antecedent conditions cannot be manipulated. (D)</p> Signup and view all the answers

What is a key advantage of correlational studies over experiments in certain research scenarios?

<p>Correlational studies are more suitable when manipulating variables is unethical or impractical. (C)</p> Signup and view all the answers

In the context of research methods, what does the term 'antecedent condition' refer to?

<p>A condition that precedes and may influence a particular outcome. (B)</p> Signup and view all the answers

A study compares the academic performance of students who choose to attend a private school versus those who attend a public school. What type of research design is this most likely to be, and why?

<p>Quasi-experiment, because the researcher cannot randomly assign students to schools. (C)</p> Signup and view all the answers

A researcher aims to evaluate if a new policy implemented in one company affects employee satisfaction by comparing it to another company without the policy. What is the most appropriate research approach?

<p>A quasi-experimental design, comparing the company with the policy to the one without. (D)</p> Signup and view all the answers

What is the key difference between correlational designs and quasi-experimental designs in terms of drawing conclusions?

<p>Quasi-experimental designs allow for stronger causal inferences than correlational designs due to some degree of control. (C)</p> Signup and view all the answers

Which of the following is an example of a subject characteristic that might be studied in a quasi-experiment?

<p>Socioeconomic status. (D)</p> Signup and view all the answers

Which of the following correlation coefficients indicates a stronger relationship between two variables?

<p>-0.34 (D)</p> Signup and view all the answers

A researcher calculates a Pearson correlation coefficient of $r = +0.70$ with $n = 50$ and $p = 0.001$. Which of the following statements is the MOST accurate interpretation of this result?

<p>There is a strong positive correlation between the two variables, which is statistically significant. (A)</p> Signup and view all the answers

Which property is NOT a characteristic of correlation coefficients?

<p>Causation (B)</p> Signup and view all the answers

What is the PRIMARY purpose of a scatterplot in correlation analysis?

<p>To visually represent the relationship between two variables and assess the direction of the correlation. (C)</p> Signup and view all the answers

In a scatterplot, what do the individual dots represent?

<p>The scores of a single participant on two variables. (B)</p> Signup and view all the answers

What is the significance of a regression line (line of best fit) in a scatterplot?

<p>It shows the direction and strength of the correlation between two variables. (B)</p> Signup and view all the answers

If the 'r' value between two variables is positive, what does this indicate about the relationship between the variables?

<p>As one variable increases, the other variable also tends to increase. (C)</p> Signup and view all the answers

A researcher observes that as the number of hours spent studying increases, the exam scores also tend to increase. Which type of correlation is MOST likely present?

<p>Positive correlation (C)</p> Signup and view all the answers

Suppose a study finds a strong positive correlation between hours spent exercising and overall health. Which conclusion is MOST justified based on this correlation?

<p>There is a relationship between exercise and health, but other factors could be involved. (A)</p> Signup and view all the answers

In a study examining the relationship between hours of sleep and test performance, the correlation coefficient (r) is -0.85. What does this indicate?

<p>There is a strong inverse relationship between sleep and test scores. (B)</p> Signup and view all the answers

A researcher investigates the link between ice cream sales and crime rates and finds a correlation coefficient close to zero. What is the MOST appropriate conclusion?

<p>There is likely no linear relationship between ice cream sales and crime rates. (B)</p> Signup and view all the answers

A scatterplot reveals a curved pattern when plotting two variables. If a Pearson correlation coefficient is calculated, what is the MOST likely outcome?

<p>It will underestimate the strength of the relationship or be close to zero. (D)</p> Signup and view all the answers

Two variables, A and B, have a correlation coefficient of 0.6. What is the best interpretation of this value?

<p>Approximately 36% of the variance in variable B can be explained by variable A. (C)</p> Signup and view all the answers

In the context of correlation, what does 'linearity' refer to?

<p>The extent to which data points can be represented by a straight line or a curve. (B)</p> Signup and view all the answers

A scatterplot shows a cluster of points that curve upwards and then downwards. What type of relationship does this suggest?

<p>A curvilinear relationship. (C)</p> Signup and view all the answers

Which statement best describes the 'magnitude' of a correlation coefficient?

<p>The strength of the correlation, ranging from -1 to +1. (D)</p> Signup and view all the answers

How do outliers typically affect correlation coefficients?

<p>They disturb the trends in the data, potentially skewing the correlation. (C)</p> Signup and view all the answers

Researchers find a strong positive correlation between ice cream sales and crime rates. What is the most accurate conclusion?

<p>There is likely a third, unmeasured variable influencing both ice cream sales and crime rates. (D)</p> Signup and view all the answers

What does a scatterplot primarily illustrate regarding a correlation?

<p>The linearity, sign, magnitude, and indirectly, the probability of a correlation. (D)</p> Signup and view all the answers

Which of the scenarios below describes a situation where a correlation might exist without direct causation?

<p>A rise in temperature correlates with an increase in ice cream sales. (D)</p> Signup and view all the answers

A study finds a positive correlation between the number of hours students spend studying and their exam scores. What confounding variable might explain this correlation without implying direct causation?

<p>The students' innate aptitude for the subject. (D)</p> Signup and view all the answers

Flashcards

Experiment

Assigning subjects randomly to different conditions (e.g., drug vs. placebo) to measure the effect.

Quasi-Experiment

Research where antecedent conditions are not manipulated.

Quasi-Experiment: Cause Certainty

Challenges concluding cause due to lack of controlled manipulation.

External Validity

The degree to which results can be generalized to other settings.

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Correlations

Determining the relationships that exist between pre-existing variables.

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Correlations: Prediction

Used to predict one set of behaviors from another.

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Correlational Study

A study designed to determine the degree of relationship between two traits, behaviors, or events.

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Correlated Variables

Changes in one variable are associated with changes in another.

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Non-Experimental Techniques

Techniques to understand results without manipulating conditions like experiments.

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Objective: Correlational-Based Designs

To learn how causal models can be constructed from correlation-based designs.

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Objective: Quasi-Experimental

To learn more about techniques that do not manipulate antecedent conditions.

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Quasi-Experiments Study?

They explore impacts of pre-existing conditions, for example, life events or traits, on behavior.

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Example of Quasi-Experiment

Compare outcomes in groups with different pre-existing conditions or experiences.

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Experiments vs. Quasi-Experiments

Researchers do not randomly assign subjects to created conditions.

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Objective: Non-Experimental Techniques

To grasp how results of non-experimental approaches might not be interpreted.

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Positive Correlation

A correlation where both variables increase or decrease together.

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Absolute Value of 'r'

It shows the strength of the relationship; closer to 1.00 means stronger relationship.

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Strong relationships

The closer it is to 1.00, the stronger the relationship is.

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Prediction (via Correlation)

Using a known correlation to estimate the value of one variable based on another.

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Negative Correlation

An inverse relationship where one variable increases as the other decreases.

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Pearson Product Moment Correlation Coefficient (r)

A statistical measure of the linear correlation between two variables.

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Curvilinear Relationship

A non-linear relationship between two variables, which appears as a curve in a scatterplot.

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Negative Correlation

As one variable increases, the other variable tends to decrease.

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Zero Correlation

No discernible relationship between two variables.

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Correlation Coefficient Range

The range of possible values for a correlation coefficient.

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Sign of Correlation Coefficient (+ or -)

Indicates the direction of the relationship between two variables.

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Pearson correlation coefficient

A coefficient used to calculate simple correlations between two variables.

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Correlation Coefficient Properties

Linearity, sign, magnitude, and probability.

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Scatterplot (correlation)

A graph that demonstrates the direction of a correlation, where each dot represents a person's scores on two variables.

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Regression lines (lines of best fit)

Lines drawn through a scatterplot to represent the relationship between variables.

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Positive 'r' Value

If the 'r' value is positive, then there is a positive correlation between both varibles.

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Sign (of Correlation)

Whether the correlation coefficient (r) is positive (variables increase together) or negative (one variable increases as the other decreases).

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Magnitude (of Correlation)

The strength of the correlation coefficient, ranging from -1 (perfect negative) to +1 (perfect positive), with 0 indicating no correlation.

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Probability (of Correlation)

The likelihood that a correlation coefficient of a certain magnitude occurred due to random chance.

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Scatterplot

A graph that displays pairs of data points on the x and y axes to visualize the relationship between two variables.

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Outliers

Extreme scores that can distort the trends in the data and affect correlation coefficients.

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Correlation vs. Causation

Even a strong correlation between two variables does not necessarily mean that one variable causes the other.

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Third Variable Problem

The idea that there could be other unmeasured variables influencing the relationship between two observed variables.

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Study Notes

  • Alternatives to experimentation include correlational, and quasi-experimental approaches.
  • These methodologies are used when traditional experimental manipulation isn't feasible or ethical.

Objectives of Non-Experimental Techniques

  • These techniques can be used to understand the interpretation of nonexperimental results
  • Causal models can be constructed from correlation-based designs.
  • Allows learning of techniques that do not manipulate antecedent conditions allowing the use of correlations, other correlational-based methods, and quasi-experimental designs

Quasi-Experiments

  • "Quasi" in Latin translates to "seeming like."
  • These closely resemble experiments but lack manipulation of antecedent conditions and/or random assignment.
  • They study the effects of preexisting conditions like life events(9/11) or subject characteristics like autism on behavior
  • For instance, comparing the incidence of Alzheimer's in patients who used ibuprofen since age 50 and those who did not.
  • Use of quasi-experiments is recommended when antecedent conditions cannot or should not be manipulated
  • An example; can be applied to the effects of spouse abuse on the frequency of child abuse.

Problems with Quasi-Experiments

  • Causality cannot be established with certainty (cause and effect).
  • Limited internal validity which is the ability to conclude with confidence that the antecedent condition caused observed behavioral differences
  • Higher external validity, generalizability, when compared to lab experiments.
  • Low manipulation of antecedents, but high in the imposition of units.

Correlations

  • Correlations are used to establish relationships among pre-existing variables.
  • Correlations show relationships between antecedents and behavioral effects, where antecedents are pre-existing, not manipulated.
  • Correlation studies determine the degree of relationship between two traits, behaviors, or events.
  • Changes in one factor are associated with changes in the other.
  • Selected traits/behaviors measured and recorded, then degree of relationship determined statistically.
  • Correlations allow the prediction of one set of behaviors from another.
  • College grades can be predicted from high school grades, and vice versa.
  • There is a low manipulation of antecedents, but high imposition of units.
  • It Cannot be sure of cause
  • A correlation study has poor internal validity but good external validity
  • Once a correlation is known it can be used to predictions.
  • If a person's known score on one variable, we can make a better prediction of that person's score on a highly correlated measure.
  • The higher the correlation, the more accurate the prediction will be.
  • Example: A researcher can study the relationship between watching Sesame Street and vocabulary in preschoolers.
  • Parents are asked to list words known by preschoolers and how frequently they watch Sesame Street.
  • One variable is hours per week, other variable is number of words the child knows.
  • Numbers/data are statistically analyzed for all children in the study.

Calculating Correlations

  • The Pearson Product Moment Correlation Coefficient (r) calculates a correlation.
  • The correlation can be positive, negative or show no relationships.
  • Correlation coefficient values range between -1.0 and +1.0.
  • The "+" or "-" sign Indicates relationships are positive or negative.
  • Absolute value of 'r' shows the relationship strength.

Scatterplot

  • It demonstrates direction of a correlation and used for initial analysis.
  • Each dot represents a person's scores, with each person having two scores.
  • Regression lines, or lines of best fit, are drawn on scatterplots.
  • Line direction signifies the direction of the correlation.

Positive Correlation

  • A positive "r" value indicates a positive correlation between variables.
  • As one variable increases, the other increases, and vice versa.
  • More hours of Sesame Street increases vocabulary.
  • Absolute "r" value shows relationship strength; the closer to 1.00, the stronger the correlation.
  • Strong relationships allow for good prediction.

Negative Correlation

  • A negative "r" value indicates a negative correlation between variables.
  • As one variable increases, the other decreases.
  • An example; increase in the hours of Sesame Street viewing decreases vocabulary.
  • The absolute value of r tells how strong the relationship is
  • The closer it is to 1.00, the stronger it is. Strong relationships allow for good prediction

No Relationship

  • Absolute value of correlation close to 0, means no relationship between the variables
  • For example, Sesame Street viewing no effect on vocabulary.

Curvilinear Relationships

  • A correlation coefficient value near zero may incorrectly suggest no relationship.
  • A curvilinear relationship between variables can be seen on the scatterplot.

Properties of Correlation Coefficients

  • Linearity: shows the relationship between variables X and Y and can be plotted as a line(linear) or a curve (curvilinear).
  • Sign: correlation coefficient is positive or negative.
  • Magnitude: strength of the correlation coefficient, ranging from -1 to +1.
  • Probability: the likelihood of obtaining a correlation coefficient of this magnitude due to chance.

Scatterplots

  • Scatterplots a graphic display of pairs of data points on the x and y axes.
  • Illustrates linearity, sign, magnitude, and probability of a correlation indirectly)

Outliers

  • Outliers are extreme scores affecting correlations by disturbing data trends.

Correlation vs. Causation

  • Correlation does not imply causation, even with a perfect correlation. Other variables not measured could influence the effects.
  • Research on firmness firm handshakes and positive first impressions show a positive correlation
  • Cannot be said whether the handshake or the personalty trait caused a good impression
  • A positive correlation between the number of cars built and the number of airplanes built. Each is not the sole causation of each
  • Calculate the coefficient of determination (r²) to estimate the amount of variability explained by a predictor variable.
  • The coefficient of determination is an estimate of strength
  • Correlational studies cannot establish a cause and effect relationships, because correlational studies do not create multiple levels of an independent variable and randomly assign subjects to conditions

Reasons Why Correlation Doesn't Prove Causation

  • (1) Causal direction - uncertain that a cause and effect variable exists
  • (2) Bidirectional causation — both variables could influence each other.
  • (3) the third variable problem - There could be some other variable that is the cause that we have not measured
  • Causal direction- Correlations are symmetrical, A may cause B as readily as B causes A.
  • Bidirectional causation-Two variables like Insomnia and depression- may affect each other
  • The third variable (family conflict) may create a third variable and that cause that both insomnia and depression are each other
  • Linear regression analysis- researchers use linear regression analysis to estimate someone's score/behavior on another and there is strongly related relationship between the two
  • Multiple regression- Researchers use this to to predict behavior from the other variable by measuring a variable that has to do with the behavior.

Quasi-Experimental Designs

  • Lacks important elements of experiments, manipulates antecedents or random assignment to treatment conditions.
  • This design doesn't look for relationships between variables; they compare groups or track changes over time in one group.
  • These designs have low internal validity, we don't fully understand cause and effect. Ex post facto ("after the fact") design- examines existing, unmanipulated subject variables.
  • For example, to study women who are divorced to see if they are more pessimistic about marriage than women who are not divorced and who are single. The preexisting variable or subject variable
  • Correlations- there is no cause. So cannot say that divorce causes changes in attitudes. There could have been a third variable which caused the result.
  • Ex post facto studies are low in internal validity.
  • Nonequivalent groups design- compares effects of treatments on preexisting groups.
  • Installs fluorescent lighting in Company A and incandescent lighting in Company B and assess productivity.
  • Cannot be sure that the lighting made the difference; it could be that one company is threatening layoffs, so workers are being more diligent.Low internal validity
  • Longitudinal designs measure the same subjects at different times to see time's effect on behavior.
  • Whereas, cross-sectional studies compare subjects at different life stages at one point in time.
  • Pretest/Posttest Design
  • Researchers use pretest/posttest designs to measures behavior before and after an event. It is quasi-experimental because there is no control condition.
  • Example: Practice GRE test 1 → six-week prepare course → Practice GRE test 2.
  • There us no control group with a different level of independent variables.
  • Results may be confounded by practice effects, caused due to less stress or learning of pretest answers People do better the second time they take an intelligence test, there is no special training in between.

Solomon 4-Group Design

  • Variation on pretest/posttest design including conditions:
  • A group with pretest, treatment, and post-test.
  • A nonequivalent control group with pretest and posttest only.
  • A group that received the treatment and a posttest
  • A group that only received the posttest

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