MATH-403In Development

Data, Probability & Statistics

Applied Statistics and Research Methods

Plan a small research study and use statistical tools to analyze data, interpret results, and communicate limits responsibly.

Level
Level 4 — Advanced
Learning time
20 hours
Format
Extended Course
Modules
10

Course structure

A clear outline before lessons begin.

This course is published as a development map. Full lessons, practice, and assessments will be added after content review.

Prerequisites

Complete these courses before beginning when they are available.

Recommended preparation

These courses strengthen preparation but are not strict prerequisites.

Learning outcomes

By the end, learners will be able to…

  • Formulate a measurable research question and define variables clearly.
  • Design an ethical, practical sampling and data-collection approach.
  • Clean, summarize, visualize, and compare data appropriately.
  • Interpret confidence intervals, hypothesis-test concepts, and model output cautiously.
  • Analyze relationships with regression or comparison methods.
  • Produce a concise research summary that states evidence and limitations.

Module outline preview

10 planned modules

Estimated times add up to the course’s planned learning time. Every module is in development.

  1. 01

    Research Questions and Study Designs

    Turn a broad question into measurable variables and a workable study plan.

    2 hours · In Development
  2. 02

    Measurement and Data Quality

    Evaluate validity, reliability, coding choices, and missing information.

    2 hours · In Development
  3. 03

    Sampling, Ethics, and Bias

    Select a sampling approach and identify limitations before collecting data.

    2 hours · In Development
  4. 04

    Data Preparation and Cleaning

    Organize data, identify errors, and document preparation decisions.

    2 hours · In Development
  5. 05

    Descriptive Analysis and Visualization

    Select summaries and graphics that match the question and data type.

    2 hours · In Development
  6. 06

    Sampling Distributions and Estimation

    Use probability ideas to interpret estimates and uncertainty.

    2 hours · In Development
  7. 07

    Confidence and Hypothesis-Test Concepts

    Explain statistical evidence without overstating conclusions.

    2 hours · In Development
  8. 08

    Comparisons, Association, and Regression

    Analyze group differences and relationships with appropriate methods.

    2 hours · In Development
  9. 09

    Interpreting Results and Limits

    Separate numerical output from the strength and scope of a conclusion.

    2 hours · In Development
  10. 10

    Research Report Synthesis

    Plan a concise evidence-based report with methods, findings, and limitations.

    2 hours · In Development

Course status

Course coming soon

This course is not yet open for enrollment and does not include lessons, practice, assessments, or formal credit. You can review the outline while it is developed.

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Recommended learning paths

A clear sequence, not a random list.

These paths show a recommended order. Branches identify connected study that can follow once prerequisites are complete.