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Survey Design and Quantitative Data Analysis
Christopher Pena Director of Data Management Mike Furno Assistant Provost, Institutional Research & Analysis
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Workshop outline Part I - Research design (15 minutes)
Part II - Survey design (30 minutes) Part III – Analysis (15 minutes) Questions and discussion (30 minutes)
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Defining the research question
All good research begins with a well-defined research question that is clear, concise, and testable. In empirical research, the research question may be used to frame the null hypothesis (H0) and the alternative hypothesis (H1).
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Types of research methods
Quantitative research Conceptual: Facts about social phenomena Methods: Measurement Analysis: Numerical comparisons, hypothesis testing Qualitative research Conceptual: Participant experience Methods: Interviews, observations, source material Analysis: Textual, thematic Mixed methods research employs quantitative and qualitative methods concurrently or in succession.
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Types of research designs
Associative Explore relationships between variables Establish causation: No Quasi-experimental Lack random assignment Establish causation : Maybe Experimental Random assignment – gold standard in social sciences Establish causation : Yes (if conditions are met)
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Sample vs. population It is rarely feasible to survey an entire population. An appropriately-selected sample can approximate the general population and yield strong estimates of validity and reliability. Use a tool like G*Power to determine the appropriate sample size for your study.
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Validity In social sciences, validity depends on the context:
Empirical research The extent to which evidence supports applying findings to new populations or settings (generalizability). Measurement The extent to which evidence supports the application of an instrument for its purported use.
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Evidence for validity Construct validity Content validity
Criterion-related validity Convergent/divergent validity Face validity
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Theories of validity The unitary theory of validity is dominant today and suggests that validity may be established by the presence of five or more forms of evidence, each of which is considered to be a form of construct validity. Other theories: Trinity – content, criterion-related, and construct validity Duality – internal and external foci Argument – explicit rationale
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Reliability Reliability estimates the extent to which data are consistent across multiple populations, settings, or replications. Reliability increases with variability in the sample. Not reliable, not valid Reliable, valid Reliable, not valid
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Types of reliability Internal consistency (Cronbach’s alpha)
Parallel forms Test-retest Interrater reliability
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Rigor of research Your research question and goals determine the rigor required in your design, data collection, and analysis. Exploratory Scholarly Initial research to understand an issue. Guide future research. Share results informally. Establish causal relationship. Fill gaps in the literature. Publish or present results formally.
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Survey development Determine what you want to measure.
Generate an item pool. Determine the format for measurement. Have the initial pool of items reviewed by experts. Conduct cognitive interviews. Conduct a pilot administration. Conduct focus groups. Revise the survey. Administer the survey. Analyze the results. Share and/or use your findings.
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Scale development Determine what you want to measure.
Generate an item pool. Determine the format for measurement. Have initial pool reviewed by experts. Consider inclusion of validation items. Administer items to a development sample. Evaluate the items Optimize scale length. Administer the measure.
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General considerations
Survey length and number of items Delivery method Confidentiality and anonymity Data management
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Survey tools Qualtrics REDCap
Availability: Faculty, staff, and students Training: Online training and resources Security: Moderate REDCap Availability: Faculty and some graduate students Training: Some online resources Security: High
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Closed questions Pros Cons Easier to complete
Easer to encode and analyze data Fewer errors in the data Cons Response options may not be exhaustive More limited understanding of the context Easy to add too many questions
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Open questions Pros Cons Respondents can provide their own responses
More complete picture of context Cons More time-consuming to complete More difficult to encode data More difficult to analyze data
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Likert scale A Likert scale is a commonly-used five-point agreement scale with a neutral midpoint: Strongly agree Agree Neither agree no disagree Disagree Strongly disagree Responses may be ordered and coded in ascending or descending order as needed.
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Other types of response scales
Agreement Frequency Satisfaction Effectiveness Efficiency
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Question design Neutral midpoint Do not know option Other option
Forced responses
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Best practices Practice item symmetry (parallelism)
Avoid double-barreled questions Avoid ambiguous wording Avoid overlapping categories Provide sufficient options
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Sources of bias and error
Leading questions Insufficient options Ordering of options Social desirability Survey fatigue Sensitive/intrusive questions Jargon
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Statistical tests Associations and relationships
Chi-square, correlation, linear regression Classification and prediction Logistic regression, discriminant function analysis Mean differences T-test, ANOVA, ANCOVA, MANOVA, MANCOVA Proportions Test of independent proportions
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Statistical power During analysis, it is important to balance the risk of Type I (α) and Type II (β) error. In the social sciences, a p-value of .05 is commonly used to test for statistical significance. Exploration Explanation, prediction Placement p ≤ .10 p ≤ .05 p ≤ .01 p ≤ .001
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Effect sizes Effect sizes quantify the strength of a statistically significant relationship or difference. Many journals in the social sciences now require authors to provide effect sizes. Cohen’s d Hedges’ g Eta-squared (η2) Correlation coefficient (r) Coefficient of determination (r2, R2)
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Descriptive statistics
Frequency Simple counts, crosstabs Measures of central tendency Mean, median, mode Distribution Normality, variance, standard deviation
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Statistical models Classification Explanatory Predictive
Group respondents by characteristics or response patterns Explanatory Explain contribution of independent variable(s) Establish causation Predictive Predict dependent variable(s)
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Factor analysis Classical test theory (CTT) Item response theory (IRT)
Identify underlying factors Explanatory and confirmatory factor analysis Item response theory (IRT) Person ability and item difficulty Logarithmic model to place persons and items IRT Model
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Analytic tools Statistical analysis Factor analysis
SPSS, R, Python, JMP, AMOS Factor analysis Winsteps, FACETS, ConQuest Qualitative analysis NVivo, Dedoose Visualization Tableau, Excel
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Resources and support Center for Visualization and Statistics
Library research staff Graduate assistants (RMS, psychology, education, social work) Institutional Research & Analysis
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Questions and discussion
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