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Mathematics and Statistics

Resources to help students learn and do research in math and stats.

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What is Data Literacy?

Data literacy means a person's ability to read and comprehend the meaning of data and to apply data information to his or her life and/or work and to use it for making a data informed decision. 

How Data Literate Are You?

Take the quiz to find out!

Common Chart Types

Recognize Data Collection Techniques & Tools

Techniques or tools used for gathering research data include:

Qualitative Techniques or Tools Quantitative Techniques or Tools
Interviews: these can be structured, semi-structured or unstructured in-depth sessions with the researcher and a participant. Surveys or questionnaires: which ask the same questions to large numbers of participants or use Likert scales which measure opinions as numerical data.
Focus groups: with several participants discussing a particular topic or a set of questions. Researchers can be facilitators or observers. Observation: which can either involve counting the number of times a specific phenomenon occurs, or the coding of observational data in order to translate it into numbers.
Observations: On-site, in-context or role-play options. Document screening: sourcing numerical data from financial reports or counting word occurrences.
Document analysis: Interrogation of correspondence (letters, diaries, emails etc) or reports. Experiments: testing hypotheses in laboratories, testing cause and effect relationships, through field experiments, or via quasi- or natural experiments.
Oral history or life stories: Remembrances or memories of experiences told to the researcher.  

Differentiate Between Research Methods

Research methods are the strategies, processes or techniques utilized in the collection of data or evidence for analysis in order to uncover new information or create better understanding of a topic. There are different types of research methods which use different tools for data collection.

Qualitative Research down arrow

Gathers data about lived experiences, emotions or behaviors, and the meanings individuals attach to them. It assists in enabling researchers to gain a better understanding of complex concepts, social interactions or cultural phenomena. This type of research is useful in the exploration of how or why things have occurred, interpreting events and describing actions.

Qualitative research refers to any research based on something that is impossible to accurately and precisely measure. It uses methods such as interviews, open-ended questions, participant observations, case studies, focus groups, etc. to identify patterns, themes, and features. These factors cannot easily be reduced to numbers. Qualitative research is common in the social sciences.

Quantitative Research down arrow

Gathers numerical data which can be ranked, measured or categorized through statistical analysis. It assists with uncovering patterns or relationships, and for making generalizations. This type of research is useful for finding out how many, how much, how often, or to what extent. This research based on something that can be accurately and precisely measured might also be referred to as "empirical research."

Pro tip: Statistical analysis in an article usually indicates quantitative research. Check the articles you find to see if some sort of numerical measuring and statistical analysis is present along with the characteristics listed below.

  • Introduction with a statement of background or purpose (what was being studied and why). May review prior studies on the same topic.
  • Description of the design and/or method of the study (the experimental group or sample, control, variables, number of test subjects, test conditions, etc.)
  • Results, or report of the findings (in numeric form as tables, charts, or graphs, etc., often with statistical analysis)
  • Conclusions that can be drawn from the results (may be labeled discussion or significance)
  • Footnotes and/or a bibliography

Mixed Methods Research down arrow

Integrates both Qualitative and Quantitative Research. It provides a holistic approach combining and analyzing the statistical data with deeper contextualized insights. Using Mixed Methods also enables Triangulation, or verification, of the data from two or more sources.

Finding Mixed Methods research in the Databases

"mixed model*" OR "mixed design*" OR "multiple method*" OR multimethod* OR triangulat*

  • PubMed - there are no suitable MeSH terms for mixed methods research in Medline. Search your topic with the following suggested free text keywords using the quotation marks and truncation symbol*:
  • CINAHL - the following Subject Headings may be of use: Multimethod Studies or Triangulation. You can also include in your search the following free text keywords: mixed model*, mixed design*, multiple method*, multimethod*, or triangulat*.

Systematic Review down arrow

Usually focuses on a single, well-defined research question and seeks to comprehensively gather all existing studies that address this research question.

Meta-Analysis down arrow

Takes the results of several existing quantitative studies and analyzes them in a new way. Meta-analysis looks for previously unnoticed patterns or trends among existing study results or seeks to pull out new data from them. Meta-analysis is usually considered another form of quantitative research.

Literature Review down arrow

Also known as a review article, is an article whose sole purpose is to provide an overview of previous important research on a particular topic. Although valuable to researchers, literature reviews are not considered primary research. However, they can help you identify research trends and major articles published on a topic. No new study is conducted in a true literature review.

Bibliography

Munnangi, S., & Boktor, S. W. (2023). Epidemiology of Study Design. In StatPearls. StatPearls Publishing. https://www.ncbi.nlm.nih.gov/books/NBK470342/

Tenny, S., Kerndt, C. C., & Hoffman, M. R. (2023). Case Control Studies. In StatPearls. StatPearls Publishing. https://www.ncbi.nlm.nih.gov/books/NBK448143/

Correlation Vs. Causation

What's the difference?

Correlation establishes that a relationship exists between two variables, while causation means that one event results in the occurrence of the other event. In other words, causation is a stronger statement than correlation, and correlation does not always result in causation.